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Топ вопросов с Data Science собеседований: Деревья и ансамбли, кластеризация, метрические модели

Знание классики - база любых собеседований на все грейды в DS!

Этот материал не рассчитан на изучение тем с нуля. Это чеклист и тренажёр, по которому стоит пройтись перед техническим интервью по классическому ML. Кратко, по делу, с акцентом на то, что действительно спрашивают.

Это вторая часть вопросов по classic ML, если вы не видели первую, то обязательно читайте (там разобрал основы мл, линейные модели, метрики классификации и регресии).

А в этой части разберем:

  • деревья

  • ансамбли

  • метрические модели

  • кластеризацию

Параллельно доступно видеоинтервью с разбором тех же вопросов — обязательно смотрите и закрепляйте материал.

В Telegram-канале — регулярный контент по ML и DL, а на Boosty — разборы реальных собеседований.

Подписывайтесь, в следующих частях будем разбирать NLP и LLM - самые востребованные области в ML.

Деревья решений

Как выглядит жадный алгоритм построения решающего дерева?

Алгоритм:

  • Начинаем с корня — берём весь обучающий датасет

  • Выбираем лучший признак и значение для сплита (критерия ветвления)

  • Разбиваем данные на две части по этому сплиту

  • Повторяем шаги для каждой части — рекурсивно строим поддеревья

  • Останавливаемся, если выполнен критерий остановки; тогда вершина становится листом

Критерии ветвления:

  • gini или entropy - классификация

  • mse или mae - регрессия

Критерий остановки:

  • достигнута максимальная глубина

  • в узле мало или много объектов

  • прирост информации от нового сплита слишком мал

Пример решающего дерева
Пример решающего дерева

Какие есть критерии сплиттинга?

Gini

Интуиция: вероятность, что случайно выбранный элемент будет неправильно классифицирован, если мы выберем класс случайно по распределению в узле.

1 способ записи формулы Джини
1 способ записи формулы Джини
2 способ записи формулы Джини
2 способ записи формулы Джини

где p_i - доля i-го класса в листе.

Особенности:

  • Быстро считается.

  • Часто используется по умолчанию (например, в DecisionTreeClassifier из sklearn).

Entropy

Интуиция: мера "неопределённости" или "хаоса" — насколько непредсказуемо распределение классов.

Формула энтропии
Формула энтропии

где p_i - доля i-го класса в листе.

На практике разница в выборе критерия редко сильно влияет на итоговую модель — важнее настройка других параметров (например, глубины, минимального количества в узле и т.д.).

В чём разница между классификацией и регрессией в деревьях?

Классификация:

  • предсказываем метки классов

  • Используем gini или энтропию

  • самый популярный класс по объектам в листе (мода)

Регрессия:

  • предсказываем числовое значение

  • Оптимизируем mse/mae во время сплита

  • Используем среднее / медиану в листе как предсказание

Пример дерева для регрессии
Пример дерева для регрессии

Какие есть плюсы и минусы решающего дерева?

Плюсы:

  • Хорошо работают с нелинейными зависимостями

  • Интерпретируемость: легко объяснить, почему модель приняла решение

  • Работает с категориальными и числовыми признаками

  • Не требует нормализации данных

Минусы:

  • Легко переобучается, особенно при большой глубине

  • Плохо работает с трендами, так как не умеют экстраполировать

  • Очень чувствительны к гиперпараметрам

Сможет ли дерево предсказать значение меньше нуля, если оно обучалось на положительных таргетах?

Нет, не сможет, так как в качестве предсказания в регрессии мы берем среднее/медиану из всех таргетов, попавших в лист. А если у нас не было значений меньше 0, то и среднее/медиана будут больше 0.

Почему деревья не чувствительны к масштабированию признаков?

Потому что они не используют расстояния. Сплиты происходят по порогам типа: "если x > 3, то идти влево", и не важно, в каком масштабе заданы значения — хоть в сантиметрах, хоть в метрах.

Как оценить важность признаков по дереву?

Обычно важность признака измеряется как суммарное снижение impurity (Gini или энтропии), которое произошло благодаря разбиениям по этому признаку, по всем уровням дерева.

В ансамблях деревьев (например, в Random Forest) эти значения усредняются по всем деревьям.

Как глубина влияет на дерево?

Маленькая глубина → недообучение (underfitting): модель слишком простая, плохо захватывает зависимости.

Слишком большая глубина → переобучение (overfitting): модель подстраивается под шум в данных, плохо обобщает. Крайний случай, например, когда дерево поместила каждый объект обучающей выборки в отдельный лист, в таком случае у нас идеальные метрики на трейне и очень плохие на тесте.

Обычно глубина дерева — один из основных гиперпараметров для настройки

Пример переобученного = очень глубокого дерева для классификации
Пример переобученного = очень глубокого дерева для классификации
Пример переобученного = очень глубокого дерева для регрессии
Пример переобученного = очень глубокого дерева для регрессии

Как можно регуляризировать решающее дерево?

  • Ограничить максимальную глубину дерева (max_depth)

  • Задать минимальное количество объектов в узле (min_samples_split, min_samples_leaf)

  • Ограничить максимальное число признаков для выбора сплита (max_features)

  • Использовать pruning (обрезку лишних веток после обучения)

  • max_leaf_nodes — ограничивает общее число листьев в дереве

  • min_impurity_decrease - минимальный прирост критерия сплита

Ансамбли

Что такое бэггинг?

Бэггинг (Bagging) — это метод ансамблирования, в котором используется несколько одинаковых моделей, обученных на разных случайных подмножествах обучающих данных. Модели обучаются параллельно, а затем их прогнозы усредняются (для регрессии) или берётся мода (для классификации), чтобы получить итоговое решение.

Что такое случайные лес? Где там случайность?

Случайный лес (Random Forest) — это ансамбль решающих деревьев, построенных на случайных подмножествах данных и признаков. Случайность здесь проявляется как в процессе бутстрэппинга (создание случайных подмножеств данных), так и в случайном выборе подмножества признаков на каждом сплите дерева.

Что такое бустинг?

Бустинг — это метод ансамблирования, в котором модели обучаются последовательно. Каждая последующая модель пытается исправить ошибки предыдущих. Например, слабые модели (например, слабые деревья) обучаются на ошибках предыдущих моделей, усиливая их предсказания на тяжёлых объектах.

Почему нельзя в качестве базовых алгоритмов использовать линейные модели, например?

Потому что будет линейная комбинация линейных моделей - это бессмысленно, будет просто та же самая линейная комбинация.

Почему градиентный бустинг называется градиентным? Где там градиент?

Когда мы говорим, что обучаемся на ошибках предыдущих моделей, мы:

  • Мы фиксируем функцию потерь. Она зависит от целевых значений и от текущей композиции
    L(y, F(x))

  • Добавляя новый базовых алгоритм в наш ансамбль / композицию, хотим минимизировать функцию потерь

  • Для этого можем посчитать градиент этой функции потерь

  • И обучать следующее дерево на антиградиент

Таким образом мы обучаемся на ошибках, но не совсем на остатках (разницы между предсказанием и таргетом), а на значение антиградиента, что, например, для функции потерь mse одно и то же.

функция потерь
функция потерь
градиент (и также просто остаток)
градиент (и также просто остаток)

Что такое стекинг?

Стекинг (Stacking) — это метод ансамблирования, при котором несколько моделей обучаются на исходных данных, а затем их предсказания используются как входные данные для мета-модели (вторичного уровня). Мета-модель учится на прогнозах базовых моделей и даёт итоговое предсказание.

Как делать трейн/тест сплит для стекинга?

Для стекинга важен out-of-fold split. Каждый базовый классификатор обучается на части данных (например, с использованием кросс-валидации), а затем делает предсказания на оставшихся данных, которые не использовались в обучении. Эти предсказания (out-of-fold) используются для тренировки мета-модели.

Часто делают кросс-валидацию, чтобы в итоге обучаться на всех данных.

трейн базовых алгоритмов на фолдах и предиктим новые фичи
трейн базовых алгоритмов на фолдах и предиктим новые фичи
на новых фичах обучаем мета-модель
на новых фичах обучаем мета-модель

Что такое bias-variance decomposition? Какой тип ансамблирования, что оптимизирует?

Bias-Variance Decomposition — это концепция, которая помогает понять, как ошибки модели можно разделить на две основные составляющие:

  • Bias (смещение) — ошибка, возникающая, когда модель слишком простая и не может захватить все закономерности в данных. Это приводит к систематической ошибке в предсказаниях.

  • Variance (вариативность) — ошибка, возникающая, когда модель слишком сложная и слишком чувствительна к случайным колебаниям данных, что приводит к нестабильным и переобученным предсказаниям.

  • Noise (шум) — это неизбежная ошибка, которая не может быть уменьшена ни с помощью улучшения модели, ни с помощью большого объёма данных.

Полная ошибка модели может быть разложена на три части:

Разложение ошибки на компоненты
Разложение ошибки на компоненты
Пример того, что означает каждая ошибка
Пример того, что означает каждая ошибка

Бэггинг - уменьшает вариенс (в столько раз, сколько базовых алгоритмов в теории) и уже обладает низким смещением.

Как бэггинг уменьгает в К раз разброс (вариенс)
Как бэггинг уменьгает в К раз разброс (вариенс)

Бустинг имеет низкий вариенс и уменьшает смещение.

Стекинг явно ничего из этого не призван минимизировать.

Почему в Random Forest при выборе признаков на каждом сплите используют случайное подмножество признаков?

Это делается для того, чтобы снизить корреляцию между деревьями в лесу и улучшить общую производительность модели. Если все деревья будут использовать одни и те же признаки, они будут более похожи друг на друга, что приведёт к менее разнообразным решениям.

С точки зрения bias-variance decomposition мы хотим строить максимально разнообразные деревья и как можно больше их. То есть мы строим экспертов в своей области (по подмножеству данных и признаков), а потом их усредняем.

Да и просто с точки зрения логики - зачем нам строить одинаковые деревья?)

Где деревья глубже бустинг/бэггинг?

  • В бэггинге обычно деревья глубже, а бустинге с ограничением, чтобы не переобучаться.

  • Если в бустинге в какой-то момент будет переобучение - вырулить из этого никак не получится.

  • А в бэггинге даже если будет несколько переобученных деревьев, эффект от них может быть некритичным, так как мы берем несколько алгоритмов и усредняем их предсказаниях.

Что если сделать первое дерево очень глубоким в бэггинге/бустинге?

В бэггинге:

Если первое дерево очень глубокое, оно будет склонно к переобучению на обучающих данных, так как оно будет слишком подстраиваться под шум и выбросы в данных. Однако, поскольку в бэггинге используются ансамбли деревьев, остальные деревья будут обучаться на других подмножествах данных, и, возможно, это частично уменьшит влияние переобучения первого дерева. Но в целом такое дерево может немного ухудшить стабильность ансамбля (на сколько сильно - зависит от общего числа деревьев).

В бустинге:

Если первое дерево слишком глубокое, это может усилить переобучение с самого начала. В бустинге каждая модель обучается на ошибках предыдущей, и если первое дерево слишком сильно подгоняет данные, оно будет давать плохие результаты для последующих моделей. Если у нас первое дерево уже переобучилось - что тогда делать другим деревьям, трейн данные мы уже идеально запомнили. Поэтому в бустинге часто ограничивают глубину деревьев для предотвращения этого.

Что если убрать первое дерево в бэггинге/устинге?

В бэггинге:

Если удалить первое дерево, в ансамбле всё равно останется множество других деревьев, и они будут давать разнообразие прогнозов. Так как в бэггинге важно среднее усреднение множества деревьев, удаление одного не сильно повлияет на итоговый результат, особенно если количество деревьев велико.

В бустинге:

Если удалить первое дерево в бустинге, это сломает всю последовательность обучения, так как каждое следующее дерево пытается исправить ошибки предыдущего. Без первого дерева у модели не будет фундамента для исправления ошибок. Это нарушает основной принцип бустинга, и результат будет сильно хуже.

Можно ли переобучить бустинг? а бэггинг?

Да, бустинг переобучается, особенно при слишком большом количестве базовых алгоритмов.

Бэггинг в целом более устойчив к переобучению, поскольку каждое дерево обучается на случайных подмножествах данных. И при увеличении числа базовых алгоримтов переобучить ансамбль не получится.

В чем отличия LightGBM, XGBoost, CatBoost?

В основном в форме деревьев.

LightGBM

  • На каждом шаге выбираем вершину для ветвления с наилучшим скором

  • Дерево получается несимметричным

  • В этом алгоритме быстро подстраиваемся под трейн данные, поэтому можно быстрее переобучиться

  • Основной критерий остановки - максимальная глубина

LightGBM
LightGBM

XGBoost

  • Строим дерево последовательно по уровням до достижения максимальной глубины

  • Дерево получается симметричным, а иногда и бинарным

  • Такому алгоритму тяжелее переобучиться, чем LightGBM

XGBoost
XGBoost

CatBoost

  • Все вершини одного уровня имеют одинаковых предикат (см картинку ниже). предикат = условие ветвления

  • Такое жесткое ограничение является сильным регуляризатором

  • Также из-за отсутствия вложенных if-else ускоряется инференс дерева

CatBoost
CatBoost

Как распараллелить обучение бэггинга и бустинга

В бэггинге каждое дерево строится независимо от других, поэтому обучение можно легко распараллелить по деревьям - каждое обучается на своей бутстрэп-подвыборке.

В бустинге деревья строятся последовательно, так как каждое новое дерево исправляет ошибки предыдущего. Поэтому распараллелить обучение по деревьям нельзя.
Однако современные библиотеки реализуют внутреннюю параллелизацию — внутри одного дерева:

  • по узлам

  • при поиске сплитов

  • при вычислении градиентов

Как распараллелить инференс бэггинга и бустинга

В бэггинге всё просто - модели независимы, поэтому инференс можно распараллелить по деревьям и затем усреднить/проголосовать результаты.

В бустинге во время инференса деревья тоже независимы, и их можно вычислять параллельно, как в бэггинге.
Однако на практике это редко даёт значительный выигрыш, потому что деревья обычно неглубокие, и накладные расходы параллелизации перевешивают выгоду. Поэтому на практике применяют параллелизацию по данным - обрабатывают батчи объектов одновременно.

Метрические модели

Что такое метрические модели?

Метрические модели — это такие алгоритмы, которые не предсказывают параметры в привычном смысле, а делают предсказания, сравнивая расстояния между объектами. Модель не учится напрямую. Вместо этого, чтобы предсказать класс или значение для нового объекта, она смотрит на похожие объекты в обучающей выборке — и основывает своё решение на них.

Основная идея, Если два объекта «близки» друг к другу по признаковому пространству (то есть расстояние между ними мало), то их целевые значения тоже должны быть похожи.

Как работает k-nn?

1. Обучение:

  • Обучения как такового нет.

  • Модель просто запоминает все обучающие объекты и их метки классов (или значения, если это регрессия).

  • Чтобы классифицировать новый объект, модель ищет k ближайших объектов в обучающей выборке и голосует по их меткам.

  • Для регрессии — берется среднее значение у k ближайших соседей.

2. Предсказание:

Когда приходит новый объект, происходит следующее:

  1. Вычисляется расстояние до всех объектов из обучающей выборки

    — обычно Евклидово, но может быть любое (манхэттенское, косинусное и т.п.)

  2. Выбираются k ближайших соседей

  3. Классификация:

    • Класс — тот, за который проголосовало большинство соседей (majority vote)

    • Можно взвешивать по расстоянию: ближние — весомее

  4. Регрессия:

    • Предсказывается среднее значение по соседям

    • Или взвешенное среднее (опять же — ближние весомее)

Какое у knn время обучения и предсказания?

Обучение:

  • O(1) — просто запоминаем данные.

  • Очень быстро.

Предсказание:

  • O(n × d) на каждый запрос

    где:

    • n — число обучающих примеров

    • d — размерность признаков

Долго потому что при каждом предсказании нужно перебрать все точки и посчитать расстояние до каждой. Никаких предвычисленных весов, как в линейной модели.

Как можно считать расстояние?

1. Евклидово расстояние (Euclidean Distance)

Формула:

Euclidean Distance
Euclidean Distance

  • Корень из суммы квадратов разницы координат

  • Подходит, если признаки числовые и сравнимы по масштабу.

  • Обязательно делать стандартизацию, иначе один большой признак “перетянет” всё расстояние на себя. Евклидово расстояние чувствительно к масштабу признаков. Если один признак выражен в километрах, а другой — в метрах, то первый будет доминировать. Поэтому перед использованием часто нормализуют данные

2. Манхэттенское расстояние (Manhattan / L1)

Формула:

38d8e4f999eb4db759a2028dde634813.png

  • Сумма разности координат по модулю

  • Более устойчиво к выбросам.

  • Используется, когда важно учитывать абсолютные отклонения.

3. Косинусное расстояние (Cosine Distance / Similarity)

Расстояние:

9fa43a40d16fd5dd52e6415dfecb5d86.png

  • Показывает угол между векторами, а не их длину. То есть оно показывает, насколько направления двух векторов похожи.

  • Хорошо работает в задачах с текстами, векторными представлениями, где важна направленность признаков, а не их абсолютные значения.

  • Используется в рекомендательных системах, NLP, кластеризации текстов.

Какие есть плюсы и минусы метрических моделей и knn в особенности?

Плюсы:

  1. Простота — легко реализовать, легко объяснить.

  2. Нет обучения — не нужно долго тренировать модель.

  3. Интерпретируемость — можно объяснить решение через похожие примеры: “мы присвоили этот класс, потому что рядом был вот этот объект”.

  4. Работают на любых признаках (если выбрать подходящую метрику): числовые, бинарные, категориальные.

Минусы:

  1. Медленные предсказания — при большом количестве данных или признаков тормозят.

  2. Чувствительность к масштабу признаков — без нормализации всё ломается.

  3. Проклятие размерности — в высоких размерностях расстояния теряют смысл.

  4. Чувствительность к шуму и выбросам — особенно при маленьком k.

  5. Хранение всей выборки — нужны память и ресурсы для хранения и поиска.

Как масштабирование признаков влияет на K-NN? Почему?

Это критически важно. Потому что в k-NN всё зависит от расстояний между точками. Если признаки не находятся в одинаковом масштабе, один из них может целиком доминировать, даже если он вообще не важен.

Как ускорить K-NN для большого датасета?

Понижение размерности перед k-NN

  • Используй PCA, UMAP, TSNE, TruncatedSVD и т.п.

  • Уменьшаешь размерность данных → быстрее считается расстояние

  • Главное — сохранить "структуру близости" между точками

Можно использовать Approximate Nearest Neighbors. Annoy, HNSW (Approximate Nearest Neighbors)

  • Для приближенного поиска ближайших — быстрее, но с небольшой потерей точности

  • Например, Annoy: Можем представить обучающую выборку в виде дерева и считаем уже не по всей области, а по части выборки. Другие методы используют другие методы ограничения выборки для подсчета.

  • Очень хорошо работают для больших объемов данных

Где можно применять метрические модели?

  • Использовать в качестве бейзлайна

  • Если два пользователя похожи — можно рекомендовать одному, что понравилось другому

  • Или искать похожие товары, изображения и так далее.

  • Или можно искать не ближайших, а наоборот:
    Если объект далеко от всех остальных — возможно, он аномален. Например, мошенническая транзакция

Кластеризация

Что такое кластеризация? Примеры задач, которые решаются с помощью кластеризации?

Это unsupervised learning, то есть обучение без учителя: нет правильных меток, и модель должна сама найти структуру в данных.

Примеры задач: Сегментация пользователей, поиск аномалий, кластеризация документов или изображений.

Примеры работы разных агоритмов кластеризации на разных датасетах
Примеры работы разных агоритмов кластеризации на разных датасетах

Объясните различия между soft и hard кластеризацией.

Hard-кластеризация (жёсткая):

  • Каждый объект относится только к одному кластеру.

  • Пример: алгоритм KMeans — каждая точка назначается ближайшему центроиду.

  • Подходит, когда кластеры чётко разделимы, и пересечения нет.

Soft-кластеризация (мягкая, вероятностная):

  • Объект может принадлежать одновременно нескольким кластерам с некоторой степенью уверенности (вероятностью).

  • Пример: GMM (Gaussian Mixture Models) — точка может принадлежать, например, на 70% одному кластеру и на 30% другому.

  • Это особенно полезно, когда границы между кластерами размытые, и данные — шумные или перекрывающиеся.

Как работает метод К-средних?

Алгоритм KMeans — это итеративный метод кластеризации, который разбивает данные на K непересекающихся кластеров, минимизируя внутрикластерную дисперсию (сумму квадратов расстояний до центроидов).

Основные шаги:

  1. Инициализация:

    Выбираются K случайных центров (центроидов) кластеров.

  2. Присвоение:

    Каждая точка назначается ближайшему центру кластера (обычно по евклидовому расстоянию).

  3. Обновление:

    Центры кластеров пересчитываются как среднее всех точек, попавших в кластер.

  4. Повторение:

    Шаги 2–3 повторяются, пока центры не перестают изменяться (или изменение меньше ε) либо не достигнуто максимальное число итераций.

Во время этого алгоритма мы минимизируем внутрикластерную дисперсию:

внутрикластерная дисперсия
внутрикластерная дисперсия

или сумму квадратов расстояний каждой точки до центра своего кластера

Какие есть проблемы с начальной инициализацией центров? Как можно улучшить ее?

Если инициализацию центров делать просто случайно выбирая точки в пространстве, то может возникнуть проблема того, что все центры попадут в одну место - это приводит к:

  • застреванию в плохих локальных минимумах

  • и к большему кол-ву итераций оптимизации

Поэтому придумали способ более оптимального выбора начальных центров, работает следующим образом (KMeans++ инициализация):

  • Первый центр выбирается случайным образом из всех точек.

  • Для каждой точки x, вычисляется расстояние до ближайшего уже выбранного центра — D(x)^2.

  • Следующий центр выбирается случайным образом, с вероятностью, пропорциональной D(x)^2. То есть, чем дальше точка от уже выбранных центров, тем выше шанс, что она станет новым центром.

  • Повторяем шаг 2–3, пока не выбрано K центров.

Мы стараемся разбросать начальные центры по пространству, чтобы они лучше покрывали распределение точек.

Как можно ускорить алгоритм к-средних?

  • MiniBatch KMeans

    • Вместо использования всего датасета на каждой итерации, берётся маленький случайный минибатч точек.

    • Обновления центров проводятся только по этим батчам.

    • Значительно снижает время одной итерации, и в среднем сходится быстрее.

  • KMeans++ инициализация

  • Уменьшение размерности

  • Также существуют разные эвристики, чтобы не пересчитывать расстояния до всех центров на каждом шаге

  • Распараллеливание

Что такое иерархическая агломеративная кластеризация, чем отличается от дивизионных алгоритмов?

Это тип кластеризации, при котором мы постепенно объединяем объекты в кластеры, начиная с того, что каждая точка — отдельный кластер, и в итоге объединяем всё в один.

Алгоритм:

  • Старт: каждая точка — это свой кластер.

  • Вычисляется расстояние между всеми кластерами.

  • Находим два ближайших кластера и объединяем их.

  • Обновляем матрицу расстояний.

  • Повторяем шаги 2–4, пока не останется один кластер (или не достигнут критерий остановки).

Как можно посчитать расстояние между кластерами в иерархической кластеризации?

Метод

Как считается расстояние

Поведение кластеров

Single linkage

Расстояние между двумя ближайшими точками

Тяготеет к вытянутым/цепочкообразным кластерам

Complete linkage

Расстояние между двумя самыми далёкими точками

Даёт компактные, сферические кластеры

Average linkage

Среднее расстояние между всеми парами точек

Компромисс между Single и Complete

Centroid linkage

Расстояние между центроидами кластеров

Может не удовлетворять треугольному неравенству

Ward's method

Увеличение внутрикластерной дисперсии при объединении

Стремится минимизировать разброс внутри кластеров

Что такое дендрограмма?

Дендрограмма — это дерево, которое показывает, как и в каком порядке происходило объединение объектов в кластеры в процессе иерархической кластеризации.

Дендрограмма
Дендрограмма

Что показывает дендрограмма:

  • Ось X: объекты или кластеры.

  • Ось Y: расстояние между кластерами в момент их объединения.

  • Высота ветвей: насколько "далеки" были кластеры, когда их объединили.

  • Обрезка дендрограммы на нужной высоте → даёт итоговые кластеры.

Какие есть критерии остановки работы иерархической кластеризации?

  • Фиксированное число кластеров (n_clusters)

  • Разрыв (gap) в дендрограмме

  • Порог по расстоянию между кластерами

  • Минимальный прирост внутрикластерной дисперсии (Ward)

Как работает алгоритм DBSCAN?

DBSCAN — это алгоритм, который ищет области с высокой плотностью точек и определяет их как кластеры, а всё остальное — как шум или выбросы.

2 гиперпараметра:

  • e - радиус окрестности точки

  • minPts - минимальное количество точек в окрестности, чтобы считать точку "основной"

3 вида точек:

  • внутренние / основные точки (core points)
    в их окрестности больше чем minPts объектов выборки

  • граничные (border points)
    не подходят под основные, но находятся в их окрестности

  • шумовые точки (noise points)
    точки не входящие в окрестность к основным

Алгоритм работает следующим образом:

  • убираем все шумовые точки

  • начинаем поиск в глубину из основных точек и соединяем все соседние точки и их окрестности, если соседняя точка основная

Плюсы:

  • Не нужно задавать число кластеров.

  • Устойчив к выбросам.

  • Хорошо находит кластер любой формы.

Минусы:

  • Плохо работает в высоких размерностях — из-за "проклятия размерности" плотность становится неинформативной.

Какие метрики существуют для оценки качества кластеризации?

  • Без учёта разметки (unsupervised)

  • С учётом разметки (supervised)

Среднее внутрикластерное расстояние

Среднее внутрикластерное расстояние
Среднее внутрикластерное расстояние

Сумма расстояний между точками из одного и того же кластера делится на количество пар точек, принадлежащих к одному кластеру.

Среднее межкластерное расстояние

Среднее межкластерное расстояние
Среднее межкластерное расстояние

Тут уже не максимизация, а минимизация

Коэффициент силуэта

Считаем его для каждого объекта выборки, а потом усредняем между по всей выборки.

Коэффициент силуэта
Коэффициент силуэта

А - среднее расстояние между объектом и всеми элементами его кластера

В - среднее расстояние между объектом и всеми элементами из ближайшего чужого кластера

Также есть и метрики для оценки качества с учетом разметки:

Гомогенность и полнота, а также их среднее гармоническое - V-мера

Как выбрать оптимальное количество кластеров?

  • метод локтя

  • коэффициент силуэта

  • по дендрограмме

  • посмотреть глазами (или LLM-кой на получившиеся кластера)

Полезные материалы, на которые я опирался для составления поста:
Учебник ШАДа

На этом в этих темах — все, смотрите разбор вопросов на ютубе!

Разборы реальных собеседований на бусти и еще больше полезного контента в тг канале, подписывайтесь, чтобы не пропустить следующие части, а они уже скоро будут)

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    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

  • 09.10.25 11:05 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

  • 11.10.25 04:41 luciajessy3

    Don’t be deceived by different testimonies online that is most likely wrong. I have made use of several recovery options that got me disappointed at the end of the day but I must confess that the tech genius I eventually found is the best out here. It’s better you devise your time to find the valid professional that can help you recover your stolen or lost crypto such as bitcoins rather than falling victim of other amateur hackers that cannot get the job done. ADAMWILSON . TRADING @ CONSULTANT COM / WHATSAPP ; +1 (603) 702 ( 4335 ) is the most reliable and authentic blockchain tech expert you can work with to recover what you lost to scammers. They helped me get back on my feet and I’m very grateful for that. Contact their email today to recover your lost coins ASAP…

  • 11.10.25 10:44 Tonerdomark

    A thief took my Dogecoin and wrecked my life. Then Mr. Sylvester stepped in and changed everything. He got back €211,000 for me, every single cent of my gains. His calm confidence and strong tech skills rebuilt my trust. Thanks to him, I recovered my cash with no issues. After months of stress, I felt huge relief. I had full faith in him. If a scam stole your money, reach out to him today at { yt7cracker@gmail . com } His help sparked my full turnaround.

  • 12.10.25 01:12 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 12.10.25 01:12 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 12.10.25 19:53 Tonerdomark

    A crook swiped my Dogecoin. It ruined my whole world. Then Mr. Sylvester showed up. He fixed it all. He pulled back €211,000 for me. Not one cent missing from my profits. His steady cool and sharp tech know-how won back my trust. I got my money smooth and sound. After endless worry, relief hit me hard. I trusted him completely. Lost cash to a scam? Hit him up now at { yt7cracker@gmail . com }. His aid turned my life around. WhatsApp at +1 512 577 7957.

  • 12.10.25 21:36 blessing

    Writing this review is a joy. Marie has provided excellent service ever since I started working with her in early 2018. I was worried I wouldn't be able to get my coins back after they were stolen by hackers. I had no idea where to begin, therefore it was a nightmare for me. However, things became easier for me after my friend sent me to [email protected] and +1 7127594675 on WhatsApp. I'm happy that she was able to retrieve my bitcoin so that I could resume trading.

  • 13.10.25 01:11 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 13.10.25 01:11 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.10.25 01:15 tyleradams

    Hi. Please be wise, do not make the same mistake I had made in the past, I was a victim of bitcoin scam, I saw a glamorous review showering praises and marketing an investment firm, I reached out to them on what their contracts are, and I invested $28,000, which I was promised to get my first 15% profit in weeks, when it’s time to get my profits, I got to know the company was bogus, they kept asking me to invest more and I ran out of patience then requested to have my money back, they refused to answer nor refund my funds, not until a friend of mine introduced me to the NVIDIA TECH HACKERS, so I reached out and after tabling my complaints, they were swift to action and within 36 hours I got back my funds with the due profit. I couldn’t contain the joy in me. I urge you guys to reach out to NVIDIA TECH HACKERS on their email: [email protected]

  • 14.10.25 08:46 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

  • 14.10.25 08:46 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

  • 14.10.25 08:46 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

  • 15.10.25 18:07 crypto

    Cryptocurrency's digital realm presents many opportunities, but it also conceals complex frauds. It is quite painful to lose your cryptocurrency to scam. You can feel harassed and lost as a result. If you have been the victim of a cryptocurrency scam, this guide explains what to do ASAP. Following these procedures will help you avoid further issues or get your money back. Communication with Marie ([email protected] and WhatsApp: +1 7127594675) can make all the difference.

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.10.25 20:17 tyleradams

    As time passes, there are an increasing number of frauds involving Bitcoin and other cryptocurrencies. Although there are many individuals who advertise recovering money online, people should use caution in dealing, especially when money is involved. You can trust NVIDIA TECH HACKERS [[email protected]], I promise. They are the top internet recovery company, and as their names indicate, your money is reclaimed as soon as feasible. My bitcoin was successfully retrieved in large part thanks to NVIDIA TECH HACKERS. Ensure that you get top-notch service; NVIDIA TECH HACKERS provides evidence of its work; and payment is only made when the service has been completed to your satisfaction. Reach them via email: [email protected] on google mail

  • 17.10.25 20:20 lindseyvonn

    Have you gotten yourself involved in a cryptocurrency scam or any scam at all? If yes, know that you are not alone, there are a lot of people in this same situation. I'm a Health Worker and was a victim of a cryptocurrency scam that cost me a lot of money. This happened a few weeks ago, there’s only one solution which is to talk to the right people, if you don’t do this you will end up being really depressed. I was really devastated until went on LinkedIn one evening after my work hours and i saw lots of reviews popped up on my feed about [email protected], I sent an email to the team who came highly recommended - [email protected] I started seeing some hope for myself from the moment I sent them an email. The good part is they made the entire process stress free for me, i literally sat and waited for them to finish and I received what I lost in my wallet

  • 17.10.25 20:22 richardcharles

    I would recommend NVIDIA TECH HACKERS to anyone that needs this service. I decided to get into crypto investment and I ended up getting my crypto lost to an investor late last year. The guy who was supposed to be managing my account turned out to be a scammer all along. I invested 56,000 USD and at first, my reading and profit margins were looking good. I started getting worried when I couldn’t make withdrawals and realized that I’ve been scammed. I came across some of the testimonials that people said about NVIDIA TECH HACKERS and how helpful he has been in recovering their funds. I immediately contacted him in his mail at [email protected] so I can get his assistance. One week into the recovery process the funds were traced and recovered back from the scammer. I can't appreciate him enough for his professionalism.

  • 17.10.25 20:23 stevekalfman

    If you need a hacker for scam crypto recovery or mobile spy access remotely kindly reach out to [email protected] for quick response, I hired this hacker and he did a nice job. before NVIDIA TECH HACKERS, I met with different hacker's online which turns out to be scam, this NVIDIA TECH HACKERS case was different and he is the trusted hacker I can vote and refer.

  • 17.10.25 21:42 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

  • 17.10.25 21:42 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

  • 17.10.25 21:42 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

  • 21.10.25 08:39 debby131

    Given how swiftly the cryptocurrency market moves, losing USDT may be a terrifying and upsetting experience. Whether you experienced a technical problem, a transaction error, or were the victim of fraud, it is important to understand the potential recovery routes. Marie can assist you in determining the specific actions you can take to attempt to regain your lost USDT when you need guidance and clarification. You can reach her via email at [email protected] and WhatsApp at +1 7127594675.

  • 21.10.25 11:45 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 21.10.25 11:45 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.10.25 04:48 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $150,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 22.10.25 07:36 donnacollier

    HOW I RECOVERED MY BITCOIN FROM CRYPTO INVESTMENT SCAM HOW I RECOVERED MY BITCOIN FROM CRYPTO INVESTMENT SCAM Hello everyone l’m by name Donna collier I live in urbandale 3 weeks ago was the darkest days of my life, i invested my hard earned money the sum of $123,000 into a crypto currency platform I was introduced to by a friend I met online everything happen so fast I was promised 300% of return of investment when it was time for me to cash out my investment and profit the platform was down I was so diversitated confused and tried to end it all then I came across upswing Ai a renowned expert in crypto currency and digital assets recovery at first it seem impossible after taking up my case within the the next 48 hours they where able to track down those fraud stars and recover my money I can’t recommend them enough to any one facing likewise change I will recommend you contact upswing Ai on Contact Details: WhatsApp +,1,2,0,2,8,1,0,1,4,0,7 E m a i l @Upswing-ai.com Website https: // u psw ing-ai. com/ platform /

  • 22.10.25 11:59 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.10.25 11:59 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.10.25 16:31 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $150,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 23.10.25 01:52 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

  • 23.10.25 01:52 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

  • 23.10.25 15:47 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $150,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 23.10.25 21:43 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

  • 23.10.25 21:43 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

  • 24.10.25 06:08 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $150,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 24.10.25 06:40 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.10.25 06:40 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.10.25 06:54 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $150,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 24.10.25 18:18 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

  • 24.10.25 18:18 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

  • 25.10.25 00:49 tyleradams

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  • 25.10.25 00:50 stevekalfman

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  • 25.10.25 05:05 victoriabenny463

    A few months ago, I fell for what looked like a legitimate online trading platform. The website was sleek, the support team was responsive, and they even showed me fake profit charts that seemed to grow daily. I started small, and after a few test withdrawals worked, I invested more eventually depositing 2 Bitcoin in hopes of long-term returns. But one morning, when I tried to withdraw, everything changed. The platform suddenly locked my account, claiming there were additional fees to release my funds. The support chat stopped responding, and the website started giving error messages. That’s when I realized I’d been scammed. I was devastated. Two Bitcoins wasn’t pocket change, it was my savings. I filed reports online, but everyone told me it was impossible to recover crypto once it’s sent. Then, through a discussion forum, I came across Dexdert Net Recovery, a team specializing in tracing and recovering stolen digital assets. Skeptical but desperate, I reached out. Their response was immediate and professional. They asked for transaction IDs, wallet addresses, screenshots of my correspondence with the fake platform, and any proof of payment I had. Within days, their analysts traced the stolen Bitcoin through multiple wallets using blockchain forensics, They updated me step-by-step, Working with their recovery experts and blockchain partners, Dexdert Net Recovery successfully froze the funds and verified ownership of my wallet. After 2 days of persistence and verification, I finally saw my 2 Bitcoin restored back into my own wallet. I couldn’t believe it. What stood out most wasn’t just that they recovered my funds, but how transparent and supportive the Dexdert team was throughout the process. They educated me on crypto safety, how to spot fake trading sites, and how to secure my digital assets in the future. Dexdert Net Recovery truly lives up to its name. They gave me back not just my Bitcoin, but my peace of mind. Reach Out Information Below Via: Email: ([email protected]) Telegram: (https://t.me/Dexdertprorecovery) WhatsApp: (+1 (859) 609‑4156)

  • 25.10.25 10:13 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

  • 25.10.25 10:13 wendytaylor015

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  • 26.10.25 01:03 Christopherbelle

    A terrible financial shock hit me hard. I lost $860,000 in a fake crypto scheme. Things looked good until I tried to cash out my earnings. Suddenly, my account vanished into thin air. I told the police many times, but help never showed up. Despair washed over me; I felt totally beaten. Then, I found Sylvester Bryant Intelligence. Right away, they were skilled and honest about the whole thing. They looked deep into my situation. They tracked where the stolen funds went. They fought hard for me every step of the way. To my great surprise, they got my money back. I thought that was impossible. I owe them so much for their hard work and truthfulness. Sylvester Bryant Intelligence restored my peace. If scams took your crypto, contact them now. Contact Info: Yt7cracker@gmail . com WhatsApp: ‪+1 512 577 7957. or +44 7428 662701.

  • 26.10.25 18:09 victoriabenny463

    A few months ago, I fell for what looked like a legitimate online trading platform. The website was sleek, the support team was responsive, and they even showed me fake profit charts that seemed to grow daily. I started small, and after a few test withdrawals worked, I invested more eventually depositing 2 Bitcoin in hopes of long-term returns. But one morning, when I tried to withdraw, everything changed. The platform suddenly locked my account, claiming there were additional fees to release my funds. The support chat stopped responding, and the website started giving error messages. That’s when I realized I’d been scammed. I was devastated. Two Bitcoins wasn’t pocket change, it was my savings. I filed reports online, but everyone told me it was impossible to recover crypto once it’s sent. Then, through a discussion forum, I came across Dexdert Net Recovery, a team specializing in tracing and recovering stolen digital assets. Skeptical but desperate, I reached out. Their response was immediate and professional. They asked for transaction IDs, wallet addresses, screenshots of my correspondence with the fake platform, and any proof of payment I had. Within days, their analysts traced the stolen Bitcoin through multiple wallets using blockchain forensics, They updated me step-by-step, Working with their recovery experts and blockchain partners, Dexdert Net Recovery successfully froze the funds and verified ownership of my wallet. After 2 days of persistence and verification, I finally saw my 2 Bitcoin restored back into my own wallet. I couldn’t believe it. What stood out most wasn’t just that they recovered my funds, but how transparent and supportive the Dexdert team was throughout the process. They educated me on crypto safety, how to spot fake trading sites, and how to secure my digital assets in the future. Dexdert Net Recovery truly lives up to its name. They gave me back not just my Bitcoin, but my peace of mind. Reach Out Information Below Via: Email: ([email protected]) Telegram: (https://t.me/Dexdertprorecovery) WhatsApp: (+1 (859) 609‑4156)

  • 27.10.25 11:15 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.10.25 11:15 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.10.25 17:08 raymondgonzales

    Three Cheers for Wizard Hilton Cyber Tech, Bitcoin Savior Extraordinaire In the ever-evolving world of cryptocurrency, where volatility and uncertainty reign supreme, one individual has emerged as a beacon of hope and innovation - Wizard Hilton Cyber Tech, the self-proclaimed "Bitcoin Savior Extraordinaire." This enigmatic figure, with his uncanny ability to navigate the complexities of the digital asset landscape, has captivated the attention of crypto enthusiasts and skeptics alike. Wizard Hilton Cyber Tech journey began as a humble programmer, tinkering with the underlying blockchain technology that powers Bitcoin. But it was his visionary approach and unwavering commitment to the cryptocurrency's potential that propelled him into the limelight. Through a series of strategic investments, groundbreaking algorithmic trading strategies, and a knack for anticipating market shifts, Wizard Hilton Cyber Tech has managed to consistently outperform even the savviest of Wall Street traders. Wizard Hilton Cyber Tech ability to turn even the most tumultuous of Bitcoin price swings into opportunities for substantial gains has earned him the moniker "Wizard," a testament to his unparalleled mastery of the digital currency realm. But Wizard Hilton Cyber Tech impact extends far beyond personal wealth accumulation - Wizard Hilton Cyber Tech has tirelessly advocated for the widespread adoption of Bitcoin, working tirelessly to educate the public, lobby policymakers, and collaborate with industry leaders to overcome the barriers that have long hindered the cryptocurrency's mainstream acceptance. With infectious enthusiasm and boundless energy, Wizard Hilton Cyber Tech has become a true champion of the Bitcoin cause, inspiring a new generation of crypto enthusiasts to embrace the transformative power of this revolutionary technology. As the digital currency landscape continues to evolve, Wizard Hilton Cyber Tech name will undoubtedly be etched in the annals of cryptocurrency history as a visionary, a trailblazer, and, above all, the Bitcoin Savior Extraordinaire. To get your stolen bitcoin back, reach out to Wizard Hilton Cyber Tech via: Email : wizardhiltoncybertech ( @ ) gmail (. ) com WhatsApp number  +18737715701 Good Day.

  • 27.10.25 17:20 fatimanorth

    The Federal Trade Commission said that more than $1 billion had been lost to cryptocurrency scams in 2023. Victims frequently lose everything, including hope, trust, and wealth. When your hard-earned money disappears into digital shadows, you feel trapped. Nowadays, cryptocurrency frauds are very common. You can get help from recovery specialist Marie at [email protected] and via WhatsApp at +1 7127594675.

  • 28.10.25 00:55 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.10.25 00:55 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 29.10.25 03:43 Christopherbelle

    A sudden money crisis struck me. I dropped $82,000 to a phony crypto scam. All seemed fine until I went to pull out my gains. Then, i was unable to get back my hard earned money. I reported it to the police several times. No aid came my way. Deep sadness hit me; I felt crushed. That's when I learned about Sylvester Bryant Intelligence. They acted quick and fair from the start. They checked my case closely. They followed the path of my lost cash. They pushed strong for me at each turn. In shock, they brought my funds back. I had figured it could not happen. I thank them for their effort and honesty. Sylvester Bryant Intelligence gave me calm again. If a scam stole your crypto, reach out to them today. Contact Info: Yt7cracker@gmail . com WhatsApp: +1 512 577 7957 or +44 7428 662701.

  • 29.10.25 10:56 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

  • 29.10.25 10:56 wendytaylor015

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  • 30.10.25 09:49 Christopherbelle

    I suffered a huge money blow when $80,000 slipped away in a bogus crypto plot. It all looked great at first. Then I went to pull out my gains, and poof—my account was gone. I kept telling the cops about it, but they did zip. I felt shattered and lost. That's when I stumbled on Sylvester Bryant Intelligence. Things turned around fast. Right away, they showed clear steps, sharp know-how, and real drive to fix it. They tracked my missing cash step by step and pushed hard till they got it back. I swear, I figured it was a lost cause. Their straight-up work and trust brought back my calm. If a scam stole your crypto, reach out to them now. yt7cracker@gmail . com | WhatsApp: +1 512 577 7957 or +44 7428 662701

  • 30.10.25 12:03 elizabethrush89

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  • 31.10.25 13:25 Lillian Lizzy

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  • 31.10.25 13:25 Lillian Lizzy

    THANKS TO THE SERVICES OF THE HACK ANGELS // FOR HELPING ME RECOVER MY USDT AND BTC I lost almost $698,000 in a bitcoin investment scam a few months ago. I was devastated and depressed, and I didn't know what to do. When I saw a favorable review of THE HACK ANGELS RECOVERY EXPERT. I decided to contact them and voice my concerns. God is so good that I am a living testament to the fact that there are still legitimate recovery hackers out there. I will confidently recommend THE HACK ANGELS RECOVERY EXPERT to everyone I meet. I will suggest them to anyone who falls victim to any kind of online scam by using the information below. web: https://thehackangels.com Mail Box; [email protected] WhatsApp; +1(520)-200,2320 If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK.

  • 01.11.25 03:27 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.11.25 03:27 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.11.25 15:47 kattygates

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  • 01.11.25 15:49 kattygates

    I met an individual on an international dating app, Bumpy. After talking for a few months, the individual encouraged me to start investing on crypto asset trading platform, btc01.org. I started trading and believed I was making profit until I tried to withdraw some of my money, I was asked to pay extra for tax which I did and they kept asking then I knew I have been scammed, I had to contact HACKWEST AT WRITEME DOT COM who then helped to recover the money, the total money I invest is $198,000 in bitcoin. The website is no longer operational. If anyone is in a similar issue, you can as well contact HACK WEST. They also fixed my credit report.

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