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Много-агентное планирование траекторий в децентрализованном режиме: эвристический поиск и обучение с подкреплением

Привет! Меня зовут Константин Яковлев, я научный работник и вот уже более 15 лет я занимаюсь методами планирования траектории. Когда речь идет о том, чтобы построить траекторию для одного агента, то задачу зачастую сводят к поиску пути на графе, а для этого в свою очередь обычно используют алгоритм A* или какие‑то из его многочисленных модификаций. Если же агентов много, они перемещаются в рабочем пространстве одновременно, то задача (внезапно) становится несколько более сложной, и применить напрямую A* не получится. Вернее, получится, но лишь для небольшого числа агентов (проклятье размерности, куда деваться). Тем не менее для централизованного случая, т. е. для случая, когда есть один (мощный) вычислитель, с которым связаны все агенты и который всё про всех знает, решить задачу много‑агентного планирования можно достаточно эффективно. Можно даже находить оптимальные решения для умеренного количества агентов за относительное приемлемое время (например, порядка 1 секунды на современном десктопном PC для 30–50 агентов).

Если же говорить о децентрализованном случае, т. е. о том случае, когда агентам необходимо действовать индивидуально (например, нет устойчивой связи с центральным контроллером), опираясь лишь на собственные (локальные) наблюдения и опыт, то с хорошими решениями задачи становится гораздо сложнее. Когда я говорю «хорошие решения», я имею в виду прежде всего такие алгоритмы, которые бы давали стройные теоретические гарантии в общем случае. Хотя бы гарантии того, что каждый агент дойдёт (за конечное время) до своей цели. Тем не менее, задача интересная и специалисты из индустрии и академии её пытаются решать.

В этом посте я расскажу о наших свежих наработках в этой области, а именно о гибридном методе, которые сочетает в себе принципы классического эвристического поиска (A*) и обучения с подкреплением (PPO). Метод получился неплохим, превосходящим многие современные аналоги по результатам экспериментов, а соответствующая статья была принята на The 38th AAAI Conference on Artificial Intelligence (пока доступен только препринт). Это одна из топовых академических конференций по искусственному интеллекту, которая в этом (2024) году проходила в Канаде (спойлер: я сам визу получить не успел, но моим коллегам и соавторам, кто имел ранее выданные канадские визы, удалось принять личное участие и достойно представить нашу науку на мировом уровне).

Итак, поехали!

2c28bbd55c2b6e517499b7833da92f73.png

Предварительные сведения. Централизованный MAPF.

Задача, о которой пойдёт речь в посте, имеет устойчивое англо‑язычное название — Multiagent Pathfinding. Сокращенно — MAPF. По‑русски мы будем её называть задачей планирования траекторий для множества агентов или же просто задачей много‑агентного планирования (подразумевая «путей» или «траекторий»). Эта задача состоит в следующем: в общем рабочем пространстве одновременно расположены n мобильных агентов, для каждого из которых известно уникальное целевое положение. Необходимо спланировать пути перемещения агентов к их целям таким образом, чтобы, во‑первых, каждый робот достигал своей цели как можно скорее, во‑вторых, чтобы запланированные пути не содержали конфликтов, т. е. агенты, следуя по ним, не сталкивались. В качестве наглядного примера, где решения такой задачи могут быть востребованы, обычно упоминают современные роботизированные склады крупных ритейлеров, логистические компании и др.

3b1f290e2d4ce994f7ec1dc2329a99c2.gifМобильные роботы в больших количествах уже используются на крупных складах, чтобы капиталисты могли зарабатывать больше избавить человека от монотонного физического труда. GIFки нагуглены.
Мобильные роботы в больших количествах уже используются на крупных складах, чтобы капиталисты могли зарабатывать больше избавить человека от монотонного физического труда. GIFки нагуглены.

Тут надо сказать, что задача построения складских роботизированных систем, функционирующих 24/7, намного сложнее, чем задача MAPF. Ведь последняя является достаточно абстрактной, например, она оставляет за скобками вопрос о том, как мобильные агенты будут выполнять построенный план (нам нужно просто построить план, но не проехать по нему), почему надо двигаться именно к этим целям, а не другим и т. д. Но в общем и целом идея состоит в том, что если мы научимся хорошо решать MAPF, то и эффективные роботизированные склады (или другие роботизированные много‑агентные системы) нам станет разрабатывать проще.

В академических кругах часто изучают так называемый классический MAPF (кому интересно, можно почитать соответствующую статью). Это когда рабочее пространство агентов представлено в виде неориентированного графа, время дискретно и все действия агентов синхронизированы. За один такт каждый агент может совершить действие одного из двух типов: ожидание или перемещение. Другими словами агент может либо остаться в текущей вершине графа, либо переместиться в смежную. Продолжительность и, соответственно, стоимость (вес) любого действия считается одинаковой и составляет один такт. Индивидуальный план для агента — это последовательность действий, которая переводит этого агента из начальной вершины в целевую.

Наша задача — построить общий план (т. е. по одному плану на каждого агента), который бы не содержал конфликтов. Конфликты, которых нужно избегать, бывают, как минимум, двух типов: вершинные и реберные. Название говорят сами за себя. Вершинный конфликт случается тогда, когда два (или более) агента согласно планам оказываются в одной и той же вершине в один и тот же момент времени, рёберный — когда они пытаются пройти по одному и тому же ребру в один и тот же такт. Иногда ещё накладывают дополнительные ограничения из серии «агенты не могут ходить паровозиком», но обычно всё‑таки ограничиваются вершинными и реберными конфликтами.

Различные типы конфликтов в классическом MAPF. Рисунок взят из статьи Multi-agent pathfinding: Definitions, variants, and benchmarks.
Различные типы конфликтов в классическом MAPF. Рисунок взят из статьи Multi-agent pathfinding: Definitions, variants, and benchmarks.

Качество решений задачи MAPF, т. е. качество общего плана, обычно измеряют либо как сумму времен достижений целями по всем агентам (если её поделить на число агентов, то получится такое «среднее время достижения цели»), либо как максимум по этим временам (это показывает, когда последний из агентов доехал до цели). Естественно, чем меньше, тем лучше.

Наглядный пример задачи классического MAPF (слева) и вариантов его решения (по центру и справа). Верхнее решение оптимизирует сумму времен, нижнее решение – время достижения финиша последним агентом. В данном примере эти решения различные (но часто они могут и совпадать). Рисунок взят из статьи An Empirical Comparison of the Hardness of Multi-Agent PathFinding under the Makespan and the Sum of Costs Objectives.
Наглядный пример задачи классического MAPF (слева) и вариантов его решения (по центру и справа). Верхнее решение оптимизирует сумму времен, нижнее решение — время достижения финиша последним агентом. В данном примере эти решения различные (но часто они могут и совпадать). Рисунок взят из статьи An Empirical Comparison of the Hardness of Multi-Agent PathFinding under the Makespan and the Sum of Costs Objectives.

Итак, что такое классическая MAPF задача нам более менее понятно. При этом, на мой взгляд, и сама задача и методы ее решения достойны отдельной статьи (или даже нескольких) на Хабре, но сегодня мы говорим немного про другое, поэтому двигаемся дальше — к lifelong варианту и децентрализованной постановке.

Децентрализованный MAPF. Lifelong вариант. Явные и неявные допущения.

Lifelong MAPF — это MAPF, в котором каждому агенту, после того как он достиг цели, сразу же назначается следующая, и теперь он должен двигаться к ней. Очевидно, что в таком режиме агенты могут перемещаться без конца и края, поэтому целесообразно ввести понятие эпизода. Другими словами мы задаем ограничение по времени tmax и после этого шага эпизод прекращается (где-бы ни находились агенты).

Что касается оценки качества решения, то в lifelong MAPF обычно считают пропускную способность (англ. throughput), т.е. среднее число достигаемых целей за такт времени. Формально это записывается как: Ngoals/tmax, т.е. мы делим общее число достигнутых целей (по всем агентам) на длину эпизода. Чем больше, чем лучше.

Заметим, что для нас как для исследователей неважно (как и раньше) откуда берутся цели. Для простоты и повторяемости экспериментов мы считаем, что для каждого агента случайным образом до начала эпизода сгенерирована последовательность целей. При этом в ходе эпизода каждую следующую цель агент узнает только тогда, когда достигает текущую.

Мини-пример того, как выглядит Lifelong MAPF. После достижения цели агенту сразу выдается новая.
Мини-пример того, как выглядит Lifelong MAPF. После достижения цели агенту сразу выдается новая.

Переходим теперь к самой интересной части — децентрализации. Если раньше мы полагали, что у нас есть некий центральный вычислитель, который в каждый момент знает всё про всех агентов (их положения, цели, спланированные траектории и т. д.), то теперь будем считать, что его нет. Остались только агенты и надо определиться, что они знают об окружающем мире.

Предположение 1. Каждый агент знает всю карту статических препятствий (например, мы загрузили в каждого робота план складских помещений), знает свое положение в ней и свою (текущую) цель.

Предположение 2. Каждый агент имеет ограниченный радиус видимости, внутри которого он может видеть других агентов (=знать их положение). За пределами этого радиуса видимости других агентов «наш» агент не видит. На практике, агенты обычно перемещаются по клетчатому полю, и их радиус видимости это область nxn клеток вокруг агента (например, 5х5 или 11х11).

Агент с близорукостью ограниченной областью наблюдения.
Агент с близорукостью ограниченной областью наблюдения.

Предположение 3. Агенты кооперативны и гомогенны. То есть каждый агент вправе считать, что другие агенты, во-первых, не имеют своей целью помешать ему, во-вторых, действуют по тем же алгоритмам, что и он сам.

Часто также предполагают, что агенты могут локально обмениваться информацией, например о том, кто к какой цели идёт. У нас в работе нет такого предположения (и это не мешает нам успешно справляться с задачей).

Задача теперь ставится следующим образом: необходимо сконструировать стратегию выбора действий агентом, которая на каждом шаге будет говорить, что делать (ждать на месте, идти, если идти, то куда). Формально, стратегию можно определить как функцию:

\pi(\tau) → P(a).

Здесь τ — это история взаимодействия агента со средой в текущем эпизоде (т. е., что он уже видел, какие действия уже совершал и т. д.), а P(a) — это распределение вероятности на действиях. То есть на выходе мы хотим получить не столько полностью однозначный ответ типа «иди влево», сколько оценку вероятности для каждого действия: «иди влево — 0.6», «стой на месте — 0.3» и т. д. Тогда на каждом шаге агент будет семплировать из этого распределения и уже это действие совершать в среде.

Если вы подумали сейчас, что это всё очень похоже на (частично-наблюдаемые) марковские процессы принятия решение (в англ. варианте — (PO)MDP), то вы абсолютно правы, это оно и есть, но в этом посте не хочется грузить терминологией.

Важно заметить, что поскольку у нас есть допущение 3 (которое обычно подразумевается в MAPF задачах «по умолчанию» и явно даже не проговаривается в статьях), то нам достаточно одной стратегии на всех. То есть, после того как стратегия нами как-то сконструирована, мы загружаем копию этой стратегии в каждого из агентов и весь коллектив оживает.

Вот примерно так один агент загружает копию своей стратегии другому агенту.
Вот примерно так один агент загружает копию своей стратегии другому агенту.

Окей. Задача более менее ясна, давайте теперь её решать.

Ищем пути решения

Давайте подумаем, как вообще можно решить нашу задачу. Ну во-первых, можно, наверное, прописать какую-то систему правил, по которой каждый агент будет двигаться. Что-то в духе «делай шаг по кратчайшему пути к цели, но если видишь, что на тебя движется другой агент, то отойди в сторону и подожди один такт». Проблема с таким подходом очевидна. Стройную систему правил будет придумать непросто, скорее всего правил будет много, почти всегда будут какие-то исключения и так далее. С другой стороны, можно зайти так: у нас же XXI век на дворе, дип лёнинг, биг дата и все дела. Давайте обучим нейросеть, и она будет говорить, что делать в той или иной ситуации. Тот тип задач, что мы решаем, когда агент интерактивно взаимодействует со средой (перемещается в ней, достигает целей и прочее), вполне замечательно укладывается в то, что зовется обучением с подкреплением (reinforcement learning, RL). Именно этот тип обучения обычно используется, когда хочется научить компьютер играть в шахматы, го, старкрафт и прочее. И мы (современная наука и программная инженерия) умеем решать указанные игровые задачи весьма неплохо, а иногда даже очень и очень хорошо (даже лучше человека).

73a2147e56f2fd9439c9ce29251d6716.png

Однако и с обучаемыми подходами, тоже есть проблемы, когда мы говорим именно о задаче MAPF. Во-первых, у нас нестационарная с точки зрения агента среда, т.е. на то, какой получится результат (дойдёт ли агент до цели или застрянет в каком-то закутке карты) влияют другие агенты, которые частью собственно среды не являются, а имеют собственные цели, которые им надо достигать. Во-вторых, у современных методов глубокого обучения с подкреплением (deep reinforcement learning, DRL) не всё гладко с генерализацией. То есть они обычно хорошо решают задачи, которые похожи на те, что встречались на этапе обучения, но если попадается какая-то непохожая задача, то результат может быть так себе. В нашем случае мы хотим, чтобы агенты (как по отдельности, так и в совокупности) хорошо себя вели на картах разного размера, с разным расположением статических препятствий, разным количеством агентов и др. В общем нам нужна стратегия, которая хорошо генерализуется. Не то, чтобы указанные проблемы прямо совсем не решались современным DRL, просто обучать «в лоб» нам придется мучительно и долго. Поэтому возникает мысль пойти несколько другим путём.

Когда увидел, сколько времени и ресурсов потребуется, чтобы обучить “в лоб”
Когда увидел, сколько времени и ресурсов потребуется, чтобы обучить «в лоб»

Другой путь — это комбинация классических эвристических подходов и подходов обучаемых. Не мы первые придумали применять такой гибридный подход для решения сложных задач и задач MAPF в частности, но мы сделали это по‑своему, и у нас получилось весьма неплохо (по крайней мере, на фоне известных мировых аналогов, с которыми мы сравнивались).

Кстати раньше на Хабре я уже рассказывал, как комбинация машинного обучения и эвристического поиска помогает решать задачу в классической одно-агентной постановке. Кому и эта тема тоже интересна — можно посмотреть тут.

Наш подход: учись следовать

Первый ингредиент нашего подхода — классический алгоритм эвристического поиска (кратчайшего) пути A*. Второй — обучаемая стратегия следования вдоль этого пути и кооперативного избегания столкновений. Поэтому мы и назвали наш метод «Учись следовать», «Learn to Follow» или, сокращенно, просто Follower. По‑русски получается «Следователь», но мы наш подход называли между собой просто Фоловер) (с одной «л» и ударением на второй слог).

Работает Фоловер следующим образом. Агент с помощью A* строит путь до цели, игнорируя других агентов. Затем локальный фрагмент этого пути, а также дополнительная локальная информация (положение препятствий и других агентов) передаются на вход обучаемой стратегии, которая, собственно, и определяет как следует действовать агенту. Схематично это выглядит так.

Большая и страшная красивая схема нашего подхода. Агент (тот, за которого мы сейчас решаем) отмечен красным кружком на карте слева. Его глобальный путь до цели показан маленькими пустыми кружочками. Этот путь + положение статических препятствий в области видимости образуют первый канал локального наблюдения (левая матрица 5х5 в центре картинки). Второй канал (правая матрица) кодирует текущее положение самого агента и тех агентов, что он видит. Такое двухканальное наблюдение передается на вход нейросети, одна голова которой (актор) говорит, что агенту делать, а другая — критикует его за это (критик используется только на этапе обучения, чтобы помочь актору научиться вести себя правильно). В верхней части по центру изображен модуль планирования, который строит глобальный путь до цели с использованием специальной тепловой карты, которая помогает прокладывать маршрут по менее загруженным частям карты.
Большая и страшная красивая схема нашего подхода. Агент (тот, за которого мы сейчас решаем) отмечен красным кружком на карте слева. Его глобальный путь до цели показан маленькими пустыми кружочками. Этот путь + положение статических препятствий в области видимости образуют первый канал локального наблюдения (левая матрица 5×5 в центре картинки). Второй канал (правая матрица) кодирует текущее положение самого агента и тех агентов, что он видит. Такое двухканальное наблюдение передается на вход нейросети, одна голова которой (актор) говорит, что агенту делать, а другая — критикует его за это (критик используется только на этапе обучения, чтобы помочь актору научиться вести себя правильно). В верхней части по центру изображен модуль планирования, который строит глобальный путь до цели с использованием специальной тепловой карты, которая помогает прокладывать маршрут по менее загруженным частям карты.

Более детальное академическое описание этой схемы и подхода в целом можно найти собственно в статье, здесь я постараюсь объяснить (насколько возможно просто) лишь самые важные моменты.

Строим путь до цели мы с помощью A*, но при этом используем модифицированную карту стоимости переходов (на рисунке выше она показана в виде тепловой карты: чем краснее клетка, тем выше стоимость перехода в соответствующую клетку). Это нам нужно для того, чтобы лучше рассеять агентов по карте и уменьшить вероятность заторов, из которых весьма сложно выпутываться в децентрализованном режиме. Делаем мы это следующим образом. Тем клеткам, в которых мы часто видели других агентов мы добавляем некоторый штраф. Также штраф добавляем тем клеткам, которые чисто статистически чаще других встречаются в кратчайших путях (для этого мы пре-процессим карту, рассчитывая пути между всеми парами вершин). В итоге наш агент ищет не кратчайший в геометрическом смысле путь, а такой путь, который бы снижал вероятность встречи с толпой других агентов (как показали наши эксперименты подобная техника «разведения агентов по карте» вносит весьма существенный вклад в практическую эффективность нашего подхода).

Избегание встречи с другими агентами 80 lvl
Избегание встречи с другими агентами 80 lvl

Ок. Путь у нас есть, давайте учится следовать вдоль него, избегая при этом столкновений с другими агентами. В качестве обучаемого метода движения мы выбрали весьма известный в мире обучения с подкреплением нейросетевой метод Proximal Policy Optimization (PPO), который был впервые предложен коллегами из OpenAI. Это метод типа актор‑критик, т. е. на этапе обучения одна часть стратегии, актор, учится выбирать действия, другая часть, критик, учится оценивать состояния среды (т. е. учится «критиковать» первую часть за то, что она завела в нас в то или иное состояние). Реализуется это всё естественно на нейросетях, т. е. у нас есть некоторые общие входные слои, которые ответственны за агрегацию и обработку входных данных и затем две головы: актор и критик. После обучения сеть критика предсказуемо не используется. Стоит также заметить, что изначально PPO подразумевает полную наблюдаемость среды агентом. В нашем случае это не так (у нас только частичная наблюдаемость), поэтому мы также задействует RNN‑блоки, которые расположены между блоками обработки наблюдений и блоками актора/критика. RNN‑блоки призваны наделить нашего агента «памятью» и способностью аппроксимировать состояние среды по истории локальных наблюдений.

Обучается наш PPO с использованием техники policy sharing, т. е. все агенты, задействованные в обучении, используют (и обновляют) одни и те же веса нейросети. Так можно делать, потому что у нас есть предположение о том, что агенты гомогенны и кооперативны, о чём упоминалось выше. Награда при обучении дается агенту при достижении точки на пути к глобальной цели. Мы экспериментировали с разными вариантами того, как далеко должна находиться подцель от агента. В результате экспериментов, лучше всего себя показала стратегия, которая училась достигать первую (ближайшую) клетку на пути к цели. Как говорится, всё эффективное — просто. Тут важно сделать оговорку, что мы (как и многие другие исследователи) предполагаем, что если два агента хотят сходить в одну клетку или поменяться местами, то у них ничего не выйдет. Поэтому просто «жадно идти по своему пути» зачастую невыгодно — не получишь награды. Из‑за этого агенты вынуждены учиться кооперации и они таки ей учатся — см. например следующую гифку:

Обратите внимание на то, как агенты внизу используют пространство, чтобы разойтись (пусть и не сразу) в узком коридоре. Достичь такой кооперативности в децентрализованном режиме (да ещё и без обмена информацией) весьма непросто, но наш Фоловер, как видно, справляется.
Обратите внимание на то, как агенты внизу используют пространство, чтобы разойтись (пусть и не сразу) в узком коридоре. Достичь такой кооперативности в децентрализованном режиме (да ещё и без обмена информацией) весьма непросто, но наш Фоловер, как видно, справляется.

Эксперименты

Для экспериментального исследования методов обучения с подкреплением (чистых или гибридных, как у нас, не столь важно) нужна программная модель среды. Желательно, чтобы она была совместима с некоторым общепризнанным в мире обучения с подкреплением API (Gym, Gymnasium и вот это вот всё, если вам это о чём‑то говорит). Мы в качестве такой среды использовали среду POGEMA, которую сами ранее и разработали, потому что других эффективных и удобных сред, заточенных под MAPF задачи просто не существовало. Благодаря POGEMA у нас эффективно работал из коробки весь цикл обучения и валидации (плюс сбор статистики и визуализация), что существенно ускорило процесс получения собственно результатов. Кому интересно заниматься подобными задачам всячески рекомендую нашу POGEMA — заходите на гитхаб, клоньте, форкайте, ставьте звездочки и так далее.

Для экспериментов в POGEMA мы подготовили две версии нашего Фоловера: стандартную и легкую. Легкая отличается тем, что в ней существенно урезана нейросеть (например, полностью опущены RNN‑блоки и не только): меньше 4 тысяч параметров (совсем мизер по текущим меркам) против 5 миллионов (тоже немного на самом деле) у стандартного Фоловера. Также легкий Фоловер для пущей эффективности был полностью реализован на С++, в то время как стандартный — на смеси C++ (для вещей не связанных с нейросетями) и Python (для нейросетей).

Сравнивались мы в первую очередь с современными обучаемыми методами, заточенными на решение задачи децентрализованного много‑агентного планирования, в том числе с такими широко‑известными в узком сообществе методами, как Primal2 (2021), PICO (2022), SCRIMP (2023). И сравнение оказалось в нашу пользу — у нас лучше пропускная способность (т. е. достигается больше целей в единицу времени) и выше способность к генерализации, т. е. Фоловер лучше работает на картах, отличных от тех, что видел на этапе обучения. На графиках это выглядит примерно вот так.

Слева и справа показаны карты, на которых мы проводили тестирование (на самом деле не только на них, но не суть). По центру - графики показывающие эффективность метода. По оси OY отложены значения пропускной способности (чем выше тем лучше), по оси OX - число агентов на карте. Каждая линия на карте - это сравниваемый метод. Звездочка в легенде - это отметка о том, что обучение этого метода проходило на этом типе карт (например наш Фоловер при обучении видел только карты типа лабиринтов, как справа, но не случайные карты, как слева). Эти графики наглядно показывают, что наш метод лучше конкурентов.
Слева и справа показаны карты, на которых мы проводили тестирование (на самом деле не только на них, но не суть). По центру — графики показывающие эффективность метода. По оси OY отложены значения пропускной способности (чем выше тем лучше), по оси OX — число агентов на карте. Каждая линия на карте — это сравниваемый метод. Звездочка в легенде — это отметка о том, что обучение этого метода проходило на этом типе карт (например наш Фоловер при обучении видел только карты типа лабиринтов, как справа, но не случайные карты, как слева). Эти графики наглядно показывают, что наш метод лучше конкурентов.

В статье у нас больше картинок и деталей. Если они вам интересны рекомендую заглянуть в публикацию.

Мы также ради спортивного интереса сравнились с централизованными подходами к MAPF, которые видят всех агентов и планируют централизованно за всех. У одного из наиболее распространенных современных централизованных планировщиков, RHCR (2021), предсказуемо получается более высокое качество решений (частота достижения целей выше). Однако у него наблюдаются заметные проблемы с масштабированием. Если агентов много, а время на планирование ограничено (порядка 1 секунды в наших экспериментах), то он начинает заваливаться. Это наглядно показывает, что децентрализованные подходы имеют свою нишу. Тут надо честно заметить, что есть и более простые централизованные методы, например PIBT (с ним мы тоже сравнивались), которые отрабатывают очень быстро, но качество их решений, хуже чем у Фоловера. т. е., опять же, децентрализованные подходы зачастую могут обыгрывать централизованные (у которых априори больше информации об окружающей среде и всех агентах).

Ещё у нас были т. н. ablation studies, это когда мы не сравниваем наш метод с другими, а отключаем какие‑то компоненты нашего подхода и смотрим на результат. Эти эксперименты показали, что если отключить метод распределения агентов по карте (модификация стоимостей перехода в A*), то также качество падает. Если выкинуть из Фоловера обучаемую стратегию (т. е. сказать агентам — идите просто по A* путям), то качество также существенно просаживается — см. график ниже.

Результаты тестирования Фоловера с выключением различных функциональных блоков (на карте складского типа). Синий график — Фоловер. Красным и зеленым показано, что будет если отключить нашу технику распределения агентов по карте при построении маршрута (становится хуже — пропускная способность падает). Фиолетовый график — это Фоловер без обучаемой стратегии, т. е. агенты просто планируют пути и всегда идут по ним (пока не упрутся в других таких агентов‑эгоистов). Как видно, этот вариант вообще аховый, пропускная способность сильно хуже, да ещё и падает с числом агентов.
Результаты тестирования Фоловера с выключением различных функциональных блоков (на карте складского типа). Синий график — Фоловер. Красным и зеленым показано, что будет если отключить нашу технику распределения агентов по карте при построении маршрута (становится хуже — пропускная способность падает). Фиолетовый график — это Фоловер без обучаемой стратегии, т. е. агенты просто планируют пути и всегда идут по ним (пока не упрутся в других таких агентов‑эгоистов). Как видно, этот вариант вообще аховый, пропускная способность сильно хуже, да ещё и падает с числом агентов.

В общем, эксперименты подтвердили, что у нас получился отличный гибридный метод децентрализованного много‑агентного планирования (в lifelong постановке), который превосходит по эффективности решения задач многих современных мировых конкурентов и даже может тягаться по соотношению «цена‑качество» с централизованными подходами.

А как оно было в Канаде

Новость о том, что статья по описанному методу принята на конференцию AAAI’24 пришла в середине ноября 2023. Сама конференция — в конце февраля 2024, в Канаде. Готовой визы в Канаду у меня не было, я начал ее оформлять, но не успел. Хорошо, что у двух из пяти соавторов нашей статьи уже были канадские визы, полученные ранее (они в 2019 году ездили на NeurIPS). Поэтому голос Российской Науки на конференцию звучал. Причем в прямом смысле. Дело в том, что на AAAI’24 было подано около 12 тысяч докладов а, принято около 2300 докладов. Это с одной стороны мало относительно первоначального количества, с другой стороны — это слишком много, чтобы выделить каждому докладу время на устную презентацию, с учетом того, что основной научный трек конференции идет всего 3 дня. Поэтому обычно на таких масштабных конференциях выбирают небольшое число работ (порядка 10%) для устных докладов, а остальные представляются в виде постеров. Наша статья попала в эти самые 10%, и по ней был сделан устный доклад. Ура!

Прикреплю в завершении некоторые фотографии (с комментариями) с конференции.

Первый соавтор статьи Алексей Скрынник делает доклад по нашей работе в одном из залов конгресс-центра Ванкувера. Слева, за стеклянной стеной видно залив, куда периодически приводняются небольшие гидросамолеты. Их хорошо слышно, и слушатели обычно отвлекаются в этот момент.
Первый соавтор статьи Алексей Скрынник делает доклад по нашей работе в одном из залов конгресс-центра Ванкувера. Слева, за стеклянной стеной видно залив, куда периодически приводняются небольшие гидросамолеты. Их хорошо слышно, и слушатели обычно отвлекаются в этот момент.
Тот самый гидросамолет (один из многих).
Тот самый гидросамолет (один из многих).
Вот в таком конгресс-центре проходила конференция.
Вот в таком конгресс-центре проходила конференция.
А вот так выглядит постерная сессия. Это когда на стенку вешает эдакая статическая оффлайн мини-презентация статьи (постер), автор стоит рядом и общается с коллегами, объясняя интересующимся, что деньги налогоплательщиков мы потратили на решение вот такой вот интересной головоломки наша разработка — это передовой край современной науки. Если кто-то внимательный заметил, что название постера не совпадает с названием статьи, про которую собственно и написан пост, то объяснение этому — чуть ниже.
А вот так выглядит постерная сессия. Это когда на стенку вешает эдакая статическая оффлайн мини-презентация статьи (постер), автор стоит рядом и общается с коллегами, объясняя интересующимся, что деньги налогоплательщиков мы потратили на решение вот такой вот интересной головоломки наша разработка — это передовой край современной науки. Если кто-то внимательный заметил, что название постера не совпадает с названием статьи, про которую собственно и написан пост, то объяснение этому — чуть ниже.

Вместо PS: (интересно, дочитал ли кто-то до этого места?)

Вообще на AAAI’24 у нас была принята не одна, а целых три работы по много-агентному планированию. Две про децентрализованную постановку (про одну я рассказал в этом посте, про другую — уже не хватило места), и одна про централизованную, но интересную, когда агенты могут меняться местами, т.е. нам не важно какой агент какую цель достигнет (главное, чтобы все цели были покрыты). Когда и если у меня будет очередной прилив графоманского настроения (и время), то и про эти работы я расскажу на Хабре. Пока же просто оставлю ссылки на сами статьи для интересующихся: раз и два.

Источник

  • 01.09.25 16:41 Anitastar

    Wizard Hilton Cyber Tech's strategic approach to Bitcoin recovery represents a mutually beneficial collaboration that offers valuable advantages for all involved. At the core of this innovative partnership is a shared commitment to leveraging cutting-edge technology and expertise to tackle the increasingly complex challenges of cryptocurrency theft and loss. By combining Wizard Hilton's world-class cybersecurity capabilities with the deep industry insights and recovery methodologies of Cyber Tech, this alliance is poised to revolutionize the way individuals and organizations safeguard their digital assets. Through a meticulous, multi-layered process, the team meticulously analyzes each case, employing advanced forensic techniques to trace the flow of stolen funds and identify potential recovery avenues. This rigorous approach not only maximizes the chances of successful Bitcoin retrieval, but also provides invaluable intelligence to enhance future security measures and prevention strategies. Importantly, the collaboration is built on a foundation of trust, transparency, and a genuine concern for the well-being of clients, ensuring that the recovery process is handled with the utmost care and discretion. As the cryptocurrency landscape continues to evolve, this strategic alliance between Wizard Hilton Cyber Tech stands as a shining example of how industry leaders can come together to safeguard digital assets, protect victims of cybercrime, and pave the way for a more secure and resilient cryptocurrency ecosystem. Email : wizardhiltoncybertech ( @ ) gmail (. ) com     OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number  +18737715701 Thanks.

  • 01.09.25 17:03 WILLER GOODY

    Don’t be misled by the countless stories you come across online many of them are unreliable and can easily steer you in the wrong direction. I personally tried several so-called recovery services, only to end up frustrated and disappointed every single time. But everything changed when I finally connected with a true tech professional who genuinely knows what they’re doing. Instead of wasting time and energy with unskilled hackers who make empty promises, it’s far better to work with a proven expert who can actually recover your stolen or lost cryptocurrency, including Bitcoins. [email protected] is, without a doubt, one of the most trustworthy and skilled blockchain specialists I’ve ever come across. If you’ve lost money to scammers, don’t give up. Reach out to their email today and take the first step toward getting your coins back. You can also contact them at +44 736-644-5035.

  • 02.09.25 23:12 [email protected]

    Sylvester Bryant has recovered over £151,000 in lost cryptocurrency. You can reach him for assistance via email at Yt7cracker@gmail. com. For direct communication, Sylvester Bryant is available on WhatsApp at +1 512 577 7957. This service proved invaluable when other recovery methods had failed. The money was recovered quickly and effectively. My financial situation was dire prior to this. This recovery has restored my financial stability. This reliable support was crucial during a difficult time. Mr. Bryant's skill in retrieving lost funds is remarkable.

  • 03.09.25 07:17 Fabian3

    Scammers have ruined the forex trading market, they have deceived many people with their fake promises on high returns. I learnt my lesson the hard way. I only pity people who still consider investing with them. Please try and make your researches, you will definitely come across better and reliable forex trading agencies that would help you yield profit and not ripping off your money. Also, if your money has been ripped-off by these scammers, you can report to a regulated crypto investigative unit who make use of software to get money back. They helped me recover my scammed funds back to me If you encounter with some issue make sure you contact ([email protected]) they're recovery expert and a very effective and reliable .

  • 04.09.25 02:11 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 02:11 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 02:45 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 16:24 Melbourne

    Sylvester Bryant has recovered over £151,000 in lost cryptocurrency. You can reach him for assistance via email at Yt7cracker@gmail. com. For direct communication, Sylvester Bryant is available on WhatsApp at +1 512 577 7957. This service proved invaluable when other recovery methods had failed. The money was recovered quickly and effectively. My financial situation was dire prior to this. This recovery has restored my financial stability. This reliable support was crucial during a difficult time. Mr. Bryant's skill in retrieving lost funds is remarkable.

  • 04.09.25 18:11 WILLER GOODY

    Don't fall for fake recovery scams online. Many people promise to help you get back lost crypto. They often just make excuses or don't deliver. This leads to more disappointment and lost hope. After many bad experiences, I finally found a real expert. They were professional and knew what they were doing. This person actually recovered my stolen coins. They gave me peace of mind back. If you lost crypto, contact them at [email protected] WhatsApp at +44 736-644-5035. Don't waste your time with others. They can help you get your money back.

  • 05.09.25 08:14 Amostampari

    How can I Recover My Lost Btc, Usdt - Wizard Larry Recovery Experts. Get Your Stolen Crypto Coins Back By Hiring A Hacker || I Can't Get Into My USDT? Account, It Seems Like I Was Hacked || Do You Need A Bitcoin Recovery Expert? Getting Lost, Stolen Crypto, or Hacked? How can I retrieve cryptocurrency from a con artist? Do I need a hacker to get my money back? Getting in dealing with a reputable business like Wizard Larry Recovery Experts could help you get your money back if you can't access your USDT account or have lost Bitcoin or NFT as a result of hacking or scams. For additional support and direction on your particular circumstance, it is advised that you get in touch with them at the address below ADDRESS Website... https://larrywizard43.wixsite.com/wizardlarry OR www.wizardlarryrecovery. com Email... wizardlarry@mail. com WhtsApp or call,.. +447 (311) 146 749

  • 05.09.25 15:39 micheal1219

    Losing USDT can be upsetting. This stablecoin usually stays close to the dollar's value. However, mistakes happen. Bugs in code, scams, or sending funds to the wrong place can cause losses. It might feel like the money is gone forever. But often, recovery is possible. Contact Marie at [email protected]. You can also reach her on Telegram at @marie_consultancy or WhatsApp at +17127594675.

  • 06.09.25 09:21 Young Felix

    [email protected] will Help you Recovery your Scammed Funds.

  • 06.09.25 09:22 Young Felix

    [email protected] will Help you Recovery your Scammed Funds. I just had to share my experience with Intel Fox Recovery Services. Initially, I was unsure if it would be possible to recover my BTC, however, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. Here is another caution; not all recovery services are legit. I personally lost 3 BTC from my Binance account due to a deceptive platform. If you happen to have suffered a similar loss, consider INTEL FOX RECOVERY SERVICES. Their services not only showcase a highly mannerism of professionalism but also effectiveness of how they handle and assist their clients. Therefore, I highly recommend their services to anyone seeking assistance in recovering their stolen BTC.

  • 06.09.25 18:52 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 06.09.25 18:52 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 14:26 bajo171

    Recovery experts and lawyers work together to get your stolen money back. They find lost assets. Lawyers guide you through legal steps. Watch out for scam signs. Be careful of offers promising big profits with no risk. Don't let anyone rush your investment decisions. Marie can help you get back lost Bitcoin. She also helps stop future scams. Contact her on WhatsApp at +1 7127594675. You can also email her at [email protected] or reach her on Telegram at @Marie_consultancy.

  • 08.09.25 18:04 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 18:04 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 19:21 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 09.09.25 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 11:48 Moises Velez

    I strongly advise using this very reputable Recovery Hacker101for anyone looking to recover any type of crypto currencies assets from online frauds, Wallet hackers, or BTC transferred to the wrong address. After I lost a lot of money to those terrible con artists posing as recovery specialists, this recovery specialist was great in aiding me in getting my Bitcoin back. After I gave Recovery Hacker101 the relevant details and prerequisites, a total of 1.4170 BTC was eventually recovered. I was overjoyed that I had been able to recover this much after having lost even more to the problems I had dealt with before discovering Recovery Hacker101. So don’t hesitate to get in touch with recoveryhacker101 AT gmail com. if you find yourself in this scenario and need help recovering from an online bitcoin scam

  • 09.09.25 15:05 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 15:05 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 15:05 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 09.09.25 20:23 Bramfloris

    Recovering Stolen USDT If your USDT or other crypto assets were stolen, contact Sylvester Bryant at Yt7cracker@gmail. com. He can help you get your money back. I lost €220,000 in a scam. Mr. Bryant was the only expert who successfully recovered my funds. Reach him on WhatsApp at +1 512 577 7957 for fast, expert help. He is very honest. He can recover your stolen assets.

  • 09.09.25 20:37 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 10.09.25 00:45 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 10.09.25 00:45 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 11.09.25 03:31 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 11.09.25 13:44 grace

    i fell for an investment scam also and lost $250k worth of bitcoin luckily i found anthonydavies01 on telegram with his assistance i got back over 85% of my money. him and his team are top notch

  • 11.09.25 15:03 stevensjonas

    Recovery of Stolen Ethereum Wallet. Hire: Supreme Peregrine Recovery. I would like to express my sincere gratitude to Supreme Peregrine Recovery for their outstanding help in recovering my stolen Ethereum wallet, which held $594,684 worth of assets. I thought my money was lost forever after falling for a scam that imitated a reliable cryptocurrency platform, but I was referred to them because their staff was professional, knowledgeable, and genuinely concerned from the start. Their commitment, openness, and expertise are unparalleled. I am immensely appreciative of their assistance and heartily recommend Supreme Peregrine Recovery to anyone dealing with cryptocurrency theft. They transformed a nightmare into a tale of hope and recovery. They carefully examined my case, gave me clear updates at every stage, and used cutting-edge Blockchain tracing tools to recover the entire amount. +1,3,1,8,5,5,3,0,6,7,9 Mail: supremeperegrinerecovery(@)proton(.)me supremeperegrinerecovery567(@)zohomail(.)com info(@)supremeperegrinerecovery(.)com

  • 11.09.25 18:51 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 11.09.25 18:51 patricialovick86

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  • 11.09.25 18:51 patricialovick86

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  • 12.09.25 13:11 grace

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  • 14.09.25 00:54 robertalfred175

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  • 14.09.25 00:54 robertalfred175

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  • 14.09.25 02:37 luciajessy3

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  • 14.09.25 12:44 robertalfred175

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  • 14.09.25 12:44 robertalfred175

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  • 14.09.25 15:13 estherfords

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  • 14.09.25 15:13 estherfords

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  • 14.09.25 17:48 robertalfred175

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  • 14.09.25 17:48 robertalfred175

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  • 14.09.25 20:49 Clinton

    I know firsthand how devastating it feels to lose money to a scam. When it happened to me, I was left frustrated, hopeless, and unsure where to turn. Complaining to apps about being scammed on their platforms didn’t change anything it felt like no one cared. But through a friend’s advice, I connected with a recovery professional who gave me real hope. With their help, I was able to get my funds back, something I thought was impossible. I’m sharing this because I don’t want anyone else to feel as lost as I once did. Whether you’ve been scammed through crypto platforms, dating scams, real-estate or mortgage fraud, or even fake ICOs, please know there’s still a way forward. If you’ve lost money, reach out to ([email protected]) or (WhatsApp) at (+)44 7366445035 for consultation and recovery services.

  • 14.09.25 22:16 Berrysmith

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  • 15.09.25 10:25 aliceforemanlaw

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  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.09.25 12:25 aliceforemanlaw

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  • 16.09.25 12:26 aliceforemanlaw

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  • 16.09.25 13:25 marcushenderson624

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  • 16.09.25 13:25 marcushenderson624

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  • 17.09.25 02:56 peju1213

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  • 17.09.25 11:16 [email protected]

    Sylvester Bryant helped me recover $510,000 in Ethereum, and I highly recommend his services. He specializes in helping people recover funds lost to scams. Scammers can cause significant stress, but Mr. Bryant's professionalism and expertise in the technical aspects of recovery earned my trust. If you've lost money through scams, you can reach him at [ yt7cracker@gmail. com ] or on WhatsApp at +1 512 577 7957. His dedication to helping people get their stolen funds back is clear, and his support made a huge difference in my case.

  • 17.09.25 11:16 [email protected]

    Sylvester Bryant helped me recover $510,000 in Ethereum, and I highly recommend his services. He specializes in helping people recover funds lost to scams. Scammers can cause significant stress, but Mr. Bryant's professionalism and expertise in the technical aspects of recovery earned my trust. If you've lost money through scams, you can reach him at [ yt7cracker@gmail. com ] or on WhatsApp at +1 512 577 7957. His dedication to helping people get their stolen funds back is clear, and his support made a huge difference in my case.

  • 17.09.25 23:50 marcushenderson624

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  • 17.09.25 23:50 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.09.25 23:50 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.09.25 11:55 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 11:55 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 12:22 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.09.25 12:22 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.09.25 13:04 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 16:46 carolinehudso83

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  • 19.09.25 00:54 frank2025

    Anthony davies played a crucial role in successfully recovering my stolen USDT, which was valued at more than $300,000. His expertise and dedication made the recovery process smooth and efficient. Throughout the entire time, he demonstrated himself to be a reliable recovery agent. His professionalism and commitment to his clients are evident in the results he achieves. If you find yourself in a similar situation or need assistance, he is available for contact. You can reach anthony through email at (anthonydaviestech AT gmail dot com). Alternatively, he is also accessible via telegram at anthonydavies01. Reaching out to him could be the first step toward recovering your lost assets

  • 19.09.25 10:02 faithlawrence

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 19.09.25 10:02 faithlawrence

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 19.09.25 15:27 tonykith01477

    There are not many reviews about free crypto recovery fixed but the ones that exist are mostly positive. I have no idea how that is possible, but it is clear that they are fabricated. However, there are also negative reviews – and I highly recommend paying attention to them. These are real people describing their unfortunate experiences with this scam. It’s the same story as always – fraudsters create a fake website to con people out of money. Nothing new but look no more and contact FASTRECOVERYAGENT These types of scams are everywhere. If you have already lost money to scammers i mean any type be it sending to scammers account , or if you have a case about stolen bitcoin , usdt, or any type of cryptocurrency whatsoever just reach out to www.fastrecoveryagent.com, i really owe this group of recovery expert because they saved me after bad investment with a fake broker, i literally owe them my life as they saved me from some bunch of scammers, but see how life is , i got every cent of my investment back with the profit , reach out to to them today and tell them from Mary because i promise them i will tell the whole world when the recovery is complete, and here i go after i got my recovered assets thats why im doing what i promised. do not fall for another scam. contact the,m today!!!!

  • 19.09.25 17:12 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.09.25 17:12 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 20.09.25 15:05 faithlawrence

    I can’t recommend Sylvester Bryant enough. He successfully recovered €210,000 in Ethereum for me after I had lost hope. His expertise in tracing and reclaiming funds from scams is truly remarkable. What stood out most was his calm, professional approach and deep technical knowledge, which gave me complete confidence throughout the process. If you’ve lost money to a scam, I strongly encourage you to reach out to him. You can contact him via email at [[email protected] ] or on WhatsApp at +1 512 577 7957. He is genuinely dedicated to helping people recover what they’ve lost, and his support has been invaluable to me.

  • 20.09.25 15:53 blessing1198

    It is distressing to lose USDT due to a bitcoin wallet hack. Although it is challenging, stolen USDT can be recovered. Taking prompt, wise action increases your chances. Marie can help you with reporting the theft, what to do right away, and USDT recovery. Contact her on WhatsApp at +1 7127594675, or email [email protected].

  • 21.09.25 12:05 star1121

    Consider this: In cryptocurrency, you see what appears to be a fantastic opportunity. After investing your hard-earned money, you see it disappear into the wallet of a con artist. Your bank account seems empty as rage and regret merge in this stomach punch. These days, cryptocurrency frauds are very common, however recovering your cryptocurrency from scammers is still possible. You can track down and possibly recover what you lost with shrewd actions. Marie can help; contact her at [email protected] and on WhatsApp at +1 7127594675.

  • 23.09.25 03:23 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.09.25 03:23 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.09.25 03:23 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.09.25 03:54 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.09.25 14:45 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 23.09.25 19:27 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider [email protected] WhatsApp at +44 736-644-5035 through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and I’m endlessly grateful.

  • 23.09.25 22:38 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 12:22 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider [email protected] WhatsApp at +44 736-644-5035 through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and I’m endlessly grateful.

  • 24.09.25 15:50 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.09.25 15:50 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.09.25 15:50 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.09.25 19:08 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 19:50 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 19:55 Athea5130

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  • 24.09.25 19:56 Athea5130

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  • 24.09.25 20:52 elizabethrush89

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