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[Перевод] Твой ИИ тебя понимает? Разбираем тайны внутреннего мира языковых моделей

02b21bdadf6e1363f9b6da4d49862d52.jpg

Современные крупные языковые модели, такие как ChatGPT, Claude или Gemini, поражают своими возможностями. Но главный вопрос остаётся открытым: как именно они думают?

С момента появления открытых LLM метод изучения их мышления был довольно прост: разобрать их архитектуру, ведь каждая такая модель состоит из нейронов. Анализ их работы означает исследование того, какие именно нейроны активируются при заданном вводе. Например, если пользователь спрашивает: «Что такое звук?» — можно выяснить, какие именно нейроны включаются при формировании ответа. Так мы получаем возможность буквально заглянуть в процесс мышления нейросети.

Чтобы разобраться в этом глубже, мы создадим однослойный трансформер с разрежённым автокодировщиком, способный грамотно формулировать текст с соблюдением пунктуации. Затем мы изучим его внутреннюю архитектуру, анализируя, какие нейроны активируются в ответ на различные запросы. Возможно, этот процесс поможет нам обнаружить интересные закономерности. Мы будем опираться на последние исследования Anthropic, что даст нам более чёткое представление о том, как именно происходит «мышление» внутри LLM.

В чём проблема?

Главная сложность при изучении работы языковых моделей — это феномен полисемантичности нейронов: один и тот же нейрон может одновременно реагировать на различные явления — математические уравнения, французскую поэзию, JSON‑код и восклицание «Эврика!» на разных языках. Теперь представьте огромную LLM с миллиардами параметров, где тысячи нейронов активируются одновременно и каждый из них содержит множество разных смыслов. В таких условиях становится практически невозможно понять, как на самом деле модель формирует свои ответы.

8821b6ad40502a718896c2f637245e53.jpg

Недавние исследования предложили альтернативный подход: вместо анализа отдельных нейронов можно рассматривать линейные комбинации нейронов, которые кодируют конкретные концепции. Этот метод называется моносемантичностью, а ключевой инструмент для его реализации — разрежённое словарное обучение (sparse dictionary learning, SDL).

Краткий экскурс в нейросети

Скорее всего, вы уже знакомы с принципами работы нейросетей, но давайте быстро напомним основные моменты. Для компьютера языковая модель — это всего лишь набор матриц, которые умножаются и складываются определённым образом. Однако людям удобнее представлять нейросети как системы, состоящие из искусственных нейронов. Обычно они выглядят примерно так:

6620dfa5f6d7487916cbb45acf29a80d.jpg

Две вертикальные колонки зелёных кругов называются слоями. Когда входной сигнал проходит через сеть слева направо, слои генерируют активации, которые можно представить в виде векторов. Эти векторы показывают, что именно думает модель на основе входных данных, и позволяют нам анализировать работу отдельных нейронов.

Подготовка обучающих данных

Для корректной работы наша модель должна обучаться на разнородных данных, содержащих информацию из разных областей. Оптимальным выбором для этого является датасет The Pile. Его общий объём составляет 825 ГБ, но мы возьмём лишь небольшую его часть — 5%. Сначала загрузим датасет и разберёмся, как он устроен. Мы будем использовать версию, доступную на Hugging Face.

# Загружаем валидационный датасет
!wget https://huggingface.co/datasets/monology/pile-uncopyrighted/resolve/main/val.jsonl.zst

# Загружаем первую часть обучающего датасета
!wget https://huggingface.co/datasets/monology/pile-uncopyrighted/resolve/main/train/00.jsonl.zst

Загрузка займёт некоторое время, но её можно ускорить, ограничив датасет всего одним файлом — 00.jsonl.zst, вместо трёх. Данные уже разделены на train/val/test — после загрузки убедитесь, что файлы находятся в нужных директориях.

import os
import shutil
import glob

# Определяем структуру каталогов
train_dir = "data/train"  # Папка для обучающих данных
val_dir = "data/val"  # Папка для валидационных данных

# Создаем папки, если они еще не существуют
os.makedirs(train_dir, exist_ok=True)
os.makedirs(val_dir, exist_ok=True)

# Перемещаем все файлы датасета (например, 00.jsonl.zst, 01.jsonl.zst и т. д.)
train_files = glob.glob("*.jsonl.zst")  # Ищем все файлы с нужным расширением
for file in train_files:
    if file.startswith("val"):
        dest = os.path.join(val_dir, file)
    else:
        dest = os.path.join(train_dir, file)
    shutil.move(file, dest)  # Перемещаем файл в нужное место

Файл имеет формат .jsonl.zst, который представляет собой сжатый архив, удобный для хранения больших объёмов данных. Он содержит файлы в формате JSON Lines (.jsonl) — где каждая строка отдельный JSON‑объект, — сжатые алгоритмом Zstandard (.zst). Считаем небольшой фрагмент одного из загруженных файлов, чтобы понять его структуру:

in_file = "data/val/val.jsonl.zst"  # Путь к валидационному файлу

with zstd.open(in_file, 'r') as in_f:
    for i, line in tqdm(enumerate(in_f)):  # Читаем первые 5 строк
        data = json.loads(line)
        print(f"Строка {i}: {data}")  # Выводим данные для проверки
        if i == 2:
            break
#### ВЫВОД ####
Строка: 0
{
  "text": "Влияние качества сна <...> эпилепсией.",
  "meta": {
    "pile_set_name": "Рефераты PubMed"
  }
}
Строка: 1
{
  "text": "LLMops — новый репозиторий на GitHub...",
  "meta": {
    "pile_set_name": "Github"
  }
}

Теперь нам нужно закодировать, или токенизировать, наш датасет. Главная цель — научить LLM выдавать текст с правильным написанием слов. Для этого мы используем уже готовый инструмент — tiktoken, опенсорсный токенизатор от OpenAI. Мы будем использовать его вариант r50k_base, который применяется в модели ChatGPT-3.

Чтобы избежать дублирования кода, создадим функцию, которая обработает сразу и обучающий (train), и валидационный (validation) датасеты.

def process_files(input_dir, output_file):
    """
    Обрабатывает все .zst-файлы в указанной папке
    и сохраняет закодированные токены в HDF5-файл.

    Args:
        input_dir (str): Папка с входными .zst-файлами.
        output_file (str): Путь к выходному HDF5-файлу.
    """

    with h5py.File(output_file, 'w') as out_f:
        # Создаем расширяемый датасет 'tokens' в HDF5-файле
        dataset = out_f.create_dataset('tokens', (0,), maxshape=(None,), dtype='i')
        start_index = 0
        # Перебираем все .zst-файлы в указанной папке
        for filename in sorted(os.listdir(input_dir)):
            if filename.endswith(".jsonl.zst"):
                in_file = os.path.join(input_dir, filename)
                print(f"Обрабатываем: {in_file}")
                # Открываем .zst-файл для чтения
                with zstd.open(in_file, 'r') as in_f:
                    # Читаем файл построчно
                    for line in tqdm(in_f, desc=f"Обработка {filename}"):
                        # Загружаем строку как JSON
                        data = json.loads(line)
                        # Добавляем маркер конца текста и кодируем строку
                        text = data['text'] + "<|endoftext|>"
                        encoded = enc.encode(text, allowed_special={'<|endoftext|>'})
                        encoded_len = len(encoded)
                        # Определяем конечный индекс для новых токенов
                        end_index = start_index + encoded_len
                        # Расширяем размер датасета и записываем закодированные токены
                        dataset.resize(dataset.shape[0] + encoded_len, axis=0)
                        dataset[start_index:end_index] = encoded
                        # Обновляем начальный индекс для следующей порции токенов
                        start_index = end_index

Отмечу, что мы храним токенизированные данные в формате HDF5, что позволяет значительно ускорить доступ к ним при обучении модели. Добавление токена <|endoftext|> в конце каждого фрагмента текста даёт модели сигнал о завершении осмысленного контекста, что помогает генерировать связные тексты.

Теперь можем закодировать наши датасеты train и validation:

# Определяем пути для сохранения токенизированных данных
out_train_file = "data/train/pile_train.h5"  # Файл для обучающего набора
out_val_file = "data/val/pile_dev.h5"  # Файл для валидационного набора

# Загружаем токенизатор GPT-2- или GPT-3-модели
enc = tiktoken.get_encoding('r50k_base')

# Обрабатываем обучающий датасет
process_files(train_dir, out_train_file)

# Обрабатываем валидационный датасет
process_files(val_dir, out_val_file)

Посмотрим, как выглядит образец токенизированных данных:

with h5py.File(out_val_file, 'r') as file:
    # Открываем датасет 'tokens'
    tokens_dataset = file['tokens']

    # Выводим тип данных в датасете
    print(f"Тип данных в датасете 'tokens': {tokens_dataset.dtype}")

    # Загружаем и выводим первые несколько элементов датасета
    print("Первые несколько элементов датасета 'tokens':")
    print(tokens_dataset[:10])  # Первые 10 токенов
#### ВЫВОД ####
Тип данных в датасете 'tokens': int32
Первые несколько элементов датасета 'tokens':
[ 2725  6557    83 23105   157   119   229    77  5846  2429]

Рассмотрим однослойные трансформеры

Современные языковые модели практически всегда основаны на архитектуре трансформеров. Углубляться в её устройство не будем, но рассмотрим основные принципы работы:

c17e7d6b3f8d6cf7a80dd2f22901458b.jpg

В случае языковых моделей трансформер получает на вход строку текста (закодированную в виде последовательности токенов) и выдаёт вероятности возможных следующих токенов. Обычные трансформеры состоят из множества трансформерных блоков, за которыми следует полносвязный слой, однако в нашем исследовании используется упрощённая версия с одним трансформерным блоком — самая простая языковая модель, которую мы всё равно не до конца понимаем.

Внутри трансформерного блока есть два ключевых компонента:

  • Механизм самовнимания (attention mechanism) — определяет, на каких частях входных данных стоит сфокусироваться;

  • Многослойный перцептрон (multi‑layer perceptron, MLP) — выполняет основную обработку информации, то есть, условно говоря, думает. MLP представляет собой простую полносвязную нейросеть, состоящую из входного слоя (получает данные от механизма самовнимания), скрытого слоя (где происходит обработка) и выходного слоя.

Скрытый слой играет ключевую роль в понимании работы модели, поэтому в нашем исследовании мы сосредоточимся именно на нём, игнорируя остальные компоненты. Каждый раз, когда трансформер обрабатывает текст, активации скрытого слоя представляют собой векторы, которые показывают, как модель думает. В дальнейшем мы будем называть их векторами активации MLP или просто векторами активации.

Многослойный перцептрон

Многослойный перцептрон (MLP) — ключевой компонент прямого распространения в архитектуре трансформеров, он позволяет модели выявлять сложные зависимости в данных. MLP состоит из двух основных частей: скрытого слоя, который увеличивает размер входных данных (обычно в четыре раза) и использует функцию активации ReLU, а также финального слоя, который уменьшает размер обратно до исходного. Функция ReLu возвращает 0, если входное значение < 0, и возвращает само входное значение, если оно ≥ 0.

Такая структура помогает улучшать представления данных, которые извлекаются механизмом внимания. Параметр n_embed определяет размер входного вектора.

class MLP(nn.Module):
    def __init__(self, n_embed):
        super().__init__()
        # Определяем простую многослойную нейросеть (MLP)
        # с двумя полносвязными (Linear) слоями и функцией активации ReLU
        self.net = nn.Sequential(
            nn.Linear(n_embed, 4 * n_embed),  # Первый слой увеличивает размерность до 4× от исходной
            nn.ReLU(),                        # Функция активации ReLU добавляет нелинейность
            nn.Linear(4 * n_embed, n_embed)   # Второй слой возвращает размерность обратно
        )

    def forward(self, x):
        # Пропускаем входные данные через сеть MLP
        return self.net(x)

Сначала мы определяем последовательную Sequential‑сеть, состоящую из двух полносвязных Linear‑слоёв. Первый слой расширяет входной размер n_embed до 4 * n_embed, создавая пространство для более сложных преобразований. Функция активации ReLU вносит нелинейность, помогая модели выявлять сложные закономерности. Второй Linear‑слой возвращает размерность обратно к n_embed, что обеспечивает совместимость выходных данных с трансформером.

Механизм внимания

Голова внимания определяет, на какие части входной последовательности модель должна обратить внимание. Ключевой параметр n_embed определяет размер входных данных для механизма внимания, а context_length — задаёт длину контекста, необходимую для создания каузальной маски.

Голова внимания использует линейные слои для вычисления ключей, запросов и значений без добавления смещений. Для обеспечения каузального внимания применяется нижнетреугольная матрица, которая предотвращает обработку будущих токенов.

class Attention(nn.Module):
    def __init__(self, n_embed, context_length):
        super().__init__()
        # Полносвязный слой для вычисления матриц запросов (Q), ключей (K) и значений (V)
        self.qkv = nn.Linear(n_embed, n_embed * 3, bias=False)

        # Создаем нижнетреугольную матрицу для каузальной маскировки
        # (запрещает доступ к будущим токенам)
        self.tril = torch.tril(torch.ones(context_length, context_length))

    def forward(self, x):
        B, T, C = x.shape  # B = размер пакета, T = длина последовательности, C = размерность эмбеддингов
        # Разделяем выход слоя qkv на три матрицы: запросы (q), ключи (k) и значения (v)
        q, k, v = self.qkv(x).chunk(3, dim=-1)

        # Вычисляем коэффициенты внимания через скалярное произведение запросов и ключей
        attn = (q @ k.transpose(-2, -1)) / C**0.5

        # Накладываем каузальную маску, чтобы модель не смотрела на будущие токены
        attn = attn.masked_fill(self.tril[:T, :T] == 0, float('-inf'))

        # Применяем softmax к коэффициентам внимания и вычисляем взвешенные значения
        return (F.softmax(attn, dim=-1) @ v)

qkv — единый линейный слой, который генерирует три матрицы: запрос — q, ключ — k и значение — v. Скалярное произведение q и k создаёт коэффициенты внимания, которые затем масштабируются: C**0.5. Каузальная маска tril предотвращает обращение к будущим токенам, чтобы модель учитывала только предыдущие токены, что критично для авторегрессивных задач. Также применяется многопеременная логистическая функция, или softmax, преобразующая коэффициенты внимания в вероятности, которые затем используются для взвешивания значений v.

Блок трансформера

Блок трансформера представляет собой сочетание механизма внимания и многослойного перцептрона, обёрнутое в нормализацию слоя (LayerNorm) и остаточные связи, которые помогают стабилизировать обучение. Поскольку в данном случае мы не используем многоголовочное внимание, параметр n_block, определяющий количество блоков, не требуется.

class TransformerBlock(nn.Module):
    def __init__(self, n_embed, context_length):
        super().__init__()
        # Инициализируем механизм внимания (Attention)
        self.attn = Attention(n_embed, context_length)

        # Инициализируем многослойный перцептрон
        self.mlp = MLP(n_embed)

        # Слой нормализации для повышения стабильности обучения
        self.ln = nn.LayerNorm(n_embed)

    def forward(self, x):
        # Применяем LayerNorm и механизм внимания, затем добавляем остаточную связь
        x = x + self.attn(self.ln(x))

        # Применяем LayerNorm и MLP, снова добавляем остаточную связь
        return x + self.mlp(self.ln(x))

LayerNorm выполняет нормализацию входных данных перед их преобразованием. Сначала применяется механизм внимания, а его выход добавляется обратно к входным данным (остаточная связь), затем применяется многослойный перцептрон с очередной остаточной связью. Эти шаги позволяют стабилизировать процесс обучения и способствуют более эффективному обучению признаков.

Обучение однослойного трансформера

Теперь, когда у нас есть все необходимые компоненты, мы можем приступить к обучению модели. Но перед этим нам нужно интегрировать токенные и позиционные эмбеддинги с блоками трансформера для обработки последовательностей.

class Transformer(nn.Module):
    def __init__(self, n_embed, context_length, vocab_size):
        super().__init__()
        # Встраивание для представления токенов
        self.embed = nn.Embedding(vocab_size, n_embed)

        # Встраивание для позиционных кодировок
        self.pos_embed = nn.Embedding(context_length, n_embed)

        # Определение блока трансформера (несколько слоёв внимания и MLP)
        self.block = TransformerBlock(n_embed, context_length)

        # Финальный линейный слой, который преобразует скрытые состояния
        # в пространство словаря для предсказания токенов
        self.lm_head = nn.Linear(n_embed, vocab_size)

        # Регистрация буфера с индексами позиций
        # для их стабильного использования при генерации текста
        self.register_buffer('pos_idxs', torch.arange(context_length))

    def forward(self, idx):
        # Получение векторов вложений для входных токенов и их позиций
        x = self.embed(idx) + self.pos_embed(self.pos_idxs[:idx.shape[1]])

        # Пропуск входных данных через блок трансформера
        x = self.block(x)

        # Преобразование выходного представления в вероятности предсказания токенов
        return self.lm_head(x)

    def generate(self, idx, max_new_tokens):
        # Генерация новых токенов по одному, пока не достигнуто заданное количество
        for _ in range(max_new_tokens):
            # Получение логитов для последнего токена в последовательности
            logits = self(idx)[:, -1, :]

            # Выбор следующего токена с использованием функции softmax
            idx_next = torch.multinomial(F.softmax(logits, dim=-1), 1)

            # Добавление предсказанного токена к текущей последовательности
            idx = torch.cat((idx, idx_next), dim=1)

        # Возврат сгенерированной последовательности токенов
        return idx

Теперь, когда мы реализовали самый простой трансформер, следующий шаг — задать параметры обучения.

# Определение размеров словаря и параметров трансформера
VOCAB_SIZE = 50304          # Общее количество уникальных токенов в словаре
BLOCK_SIZE = 512            # Максимальная длина последовательности для модели
N_EMBED = 2048              # Размерность пространства эмбеддингов
N_HEAD = 16                 # Число голов внимания в каждом блоке трансформера

# Параметры обучения
BATCH_SIZE = 64             # Размер пакета для обучения
MAX_ITER = 100              # Число итераций (уменьшено для быстрого примера)
LEARNING_RATE = 3e-4        # Скорость обучения
DEVICE = 'cpu'              # Устройство для вычислений ('cuda' при наличии GPU)

# Пути к обучающим и проверочным наборам данных
TRAIN_PATH = "data/train/pile_val.h5"  # Путь к файлу обучающего набора данных
DEV_PATH = "data/val/pile_val.h5"      # Путь к файлу валидационного набора данных

Далее напишем простой цикл обучения и запустим тренировку нашей однослойной модели трансформера, чтобы проверить, пригодна ли она для последующего анализа и отладки.

# Загрузка обучающих данных из HDF5-файла
train_data = h5py.File(TRAIN_PATH, 'r')['tokens']

# Функция для формирования пакета обучения или валидации
def get_batch(split):
    # Для простоты используем одни и те же данные (train_data) для обучения и валидации
    data = train_data
    # Случайный выбор начальных индексов для каждой последовательности в пакете
    ix = torch.randint(0, data.shape[0] - BLOCK_SIZE, (BATCH_SIZE,))

    # Формирование входных (x) и целевых (y) последовательностей для каждого элемента пакета
    x = torch.stack([torch.tensor(data[i:i+BLOCK_SIZE], dtype=torch.long) for i in ix])
    y = torch.stack([torch.tensor(data[i+1:i+BLOCK_SIZE+1], dtype=torch.long) for i in ix])

    # Перемещение входных и целевых данных на вычислительное устройство (CPU/GPU)
    x, y = x.to(DEVICE), y.to(DEVICE)
    return x, y

# Инициализация модели трансформера, оптимизатора и функции потерь
model = Transformer(N_EMBED, CONTEXT_LENGTH, VOCAB_SIZE).to(DEVICE)  # Определяем модель
optimizer = torch.optim.AdamW(model.parameters(), lr=LEARNING_RATE)  # Оптимизатор AdamW
loss_fn = nn.CrossEntropyLoss()  # Функция потерь на основе перекрёстной энтропии

# Цикл обучения
for iter in tqdm(range(MAX_ITER)):  # Итерации в рамках заданного количества эпох
    # Получаем пакет обучающих данных
    xb, yb = get_batch('train')

    # Прямой проход через модель для получения логитов (предсказаний)
    logits = model(xb)

    # Преобразуем логиты в нужную форму для вычисления функции потерь
    B, T, C = logits.shape  # B — размер пакета, T — длина последовательности, C — размер словаря
    logits = logits.view(B*T, C)  # Объединяем измерения пакета и временной оси
    yb = yb.view(B*T)  # Аналогично преобразуем целевые метки

    # Вычисляем функцию потерь, сравнивая логиты с целевыми значениями
    loss = loss_fn(logits, yb)

    # Обнуляем градиенты оптимизатора
    optimizer.zero_grad()

    # Обратное распространение ошибки для вычисления градиентов
    loss.backward()

    # Обновление параметров модели с помощью оптимизатора
    optimizer.step()

    # Вывод значения функции потерь каждые 10 итераций
    if iter % 10 == 0:
        print(f"Итерация {iter}: Потери {loss.item():.4f}")

# Сохранение обученной модели в файл
MODEL_SAVE_PATH = "one_layer_transformer_short.pth"  # Определяем путь для сохранения модели
torch.save(model.state_dict(), MODEL_SAVE_PATH)  # Сохраняем веса модели
print(f"Модель сохранена в {MODEL_SAVE_PATH}")
print("Обучение завершено.")

Во время обучения модель будет выводить значение функции потерь каждые 10 итераций:

Итерация 0: 0.1511241
Итерация 1: 0.1412412
Итерация 2: 0.1401021
...

Генерация текста

После завершения обучения на 100 эпохах мы можем проверить, насколько наша модель справляется с пунктуацией и грамматикой, сгенерировав образец текста:

# Определяем путь к модели, входной текст и другие параметры
model_path = 'one_layer_transformer_short.pth'
input_text = "|<end_of_text>|"
max_new_tokens = 50
device = 'cuda'  # Или 'cpu' при отсутствии GPU

# Загрузка контрольной точки модели
checkpoint = torch.load(model_path, map_location=torch.device(device))

# Инициализация модели с использованием конфигурации из config.py
model = Transformer(
    n_head=config['n_head'],
    n_embed=config['n_embed'],
    context_length=config['context_length'],
    vocab_size=config['vocab_size'],
)

# Загрузка весов модели
model.load_state_dict(checkpoint['model_state_dict'])
model.eval().to(device)

# Загрузка токенизатора
enc = tiktoken.get_encoding("r50k_base")

# Кодирование входного текста в последовательность идентификаторов токенов
start_ids = enc.encode_ordinary(input_text)
context = torch.tensor(start_ids, dtype=torch.long, device=device).unsqueeze(0)

# Процесс генерации текста
with torch.no_grad():
    generated_tokens = model.generate(context, max_new_tokens=max_new_tokens)[0].tolist()

# Декодирование сгенерированных токенов обратно в текст
output_text = enc.decode(generated_tokens)
print(output_text)
★ "Twisted Roads in Sunset Drive" (A variation of "I’m aware my partner 
heads out next week for business")

The Valley's quiet hum, observed by Montgomery.
Across America, various institutions (referencing European models)

John Robinson has delved deeply into these shifts, with 
reflections now influencing the broader landscape. 
The Leader’s thoughts are yet to be fully captured.

★ "Извилистые дороги на закате" (вариация "Я знаю, что мой партнёр уезжает в командировку на следующей неделе")

Тихий гул долины, замеченный Монтгомери.
По всей Америке различные институты (вдохновлённые европейскими моделями)

Джон Робинсон глубоко изучил эти перемены,
и его размышления теперь влияют на общую картину.
Мысли Предводителя пока не зафиксированы полностью.

Полученный текст не отличается смысловой связностью, но его грамматика и пунктуация выглядят корректно, что говорит о достаточном качестве модели для перехода к следующему этапу.

Распределение нейронов

Чтобы понять, как ведут себя нейроны в обученной модели, можно изучить гистограмму плотности их активации.

cfc72d13a2bc3083a4fd88a9adaf5fc2.jpg

Гистограмма показывает, как часто нейроны активируются при подаче входных данных. Мы случайным образом выбрали множество фрагментов текста, зафиксировали активации нейронов и записали, как часто каждый из них срабатывал.

На графике видно, что большинство нейронов активируется более чем в 10% случаев, а около половины — более чем в 25%. Это не очень хорошо с точки зрения интерпретируемости, так как означает, что нейроны реагируют на слишком широкие или пересекающиеся концепции. Для лучшей интерпретации нам нужно, чтобы нейроны отвечали за конкретные, узкие категории, что требует их более редкой и разрежённой активации.

Разрежённый автокодировщик

Чтобы сделать активации более разрежёнными, используется разрежённый автокодировщик. Это отдельная нейросеть, обучаемая параллельно с трансформером. Автокодировщик принимает вектор активации MLP, кодирует его, а затем пытается восстановить. Разрежённость вводится в скрытом слое, чтобы добиться интерпретируемости активаций MLP.

1177c701e5980470ae238db77e45c723.jpg

Автокодировщик состоит из одного скрытого слоя, входной и выходной размеры совпадают с размером вектора активации. Средний слой имеет фиксированный размер — например, 1024 признака, что достаточно для эффективного обучения, но при этом позволяет выделять значимые особенности.

Для принудительного создания разрежённости добавляется L1-регуляризация (сумма модулей активаций) в функцию потерь наряду с MSE (среднеквадратичной ошибкой): это стимулирует нейросеть занулять малые активации, создавая разрежённые представления.

Разрежённое словарное обучение

Исследователи из Anthropic добавили в процесс обучения разрежённое словарное обучение с автокодировщиком, чтобы ещё больше повысить разрежённость активаций.

8ce95b489f612067feae30d42a620767.jpg

Как это работает:

  • Каждая строка матрицы весов декодера нормализуется так, чтобы иметь норму L2, равную 1, и нулевое среднее значение. Это гарантирует, что каждое направление активации является уникальным, подобно элементам словаря.

  • Вектор активации MLP представляется как линейная комбинация этих словарных элементов, а каждая активация в скрытом слое служит коэффициентом для одного из элементов словаря.

В процессе обучения веса декодера приводятся к нулевому среднему, что помогает автокодировщику формировать эффективные разрежённые представления. Итоговая функция потерь включает L1-норму кодированного представления, контролируя уровень разрежённости. Степень разрежённости можно регулировать гиперпараметром.

Давайте теперь реализуем разрежённый автокодировщик с механизмом словарного обучения, а затем проверим, улучшилось ли распределение активаций нейронов:

class SparseAutoencoder(nn.Module):
    def __init__(self, n_features, n_embed):
        super().__init__()

        # Кодировщик: полносвязный слой, преобразующий входные данные в пространство кодировки.
        # Размер входа — n_embed * 4, размер выхода — n_features.
        self.encoder = nn.Linear(n_embed * 4, n_features)

        # Декодировщик: полносвязный слой, восстанавливающий исходные данные из кодировки.
        # Размер входа — n_features, размер выхода — n_embed * 4.
        self.decoder = nn.Linear(n_features, n_embed * 4)

        # Функция активации ReLU, применяемая после кодирования.
        self.relu = nn.ReLU()

    def encode(self, x_in):
        # Вычитание смещения декодера из входных данных для нормализации процесса кодирования.
        x = x_in - self.decoder.bias

        # Применение кодировщика (линейное преобразование + активация ReLU).
        f = self.relu(self.encoder(x))

        return f

    def forward(self, x_in, compute_loss=False):

        # Кодирование входных данных для получения их представления в признаковом пространстве.
        f = self.encode(x_in)

        # Декодирование признакового представления обратно в исходное пространство.
        x = self.decoder(f)

        # Если compute_loss = True, вычисляем потери восстановления и регуляризации.
        if compute_loss:
            # Ошибка восстановления: среднеквадратичное отклонение
            # между реконструированным и исходным входом.
            recon_loss = F.mse_loss(x, x_in)

            # Регуляризационные потери:
            # L1-норма закодированных признаков (способствует разрежённости).
            reg_loss = f.abs().sum(dim=-1).mean()
        else:
            # Если compute_loss = False, возвращаем None для обеих функций потерь.
            recon_loss = None
            reg_loss = None

        return x, recon_loss, reg_loss

    def normalize_decoder_weights(self):

        with torch.no_grad():
            # Нормализация весов декодера по признаковому измерению (ось 1).
            self.decoder.weight.data = nn.functional.normalize(self.decoder.weight.data, p=2, dim=1)

Функция encode сначала вычитает смещение декодера перед применением кодера и функции активации ReLU. Функция forward выполняет декодирование и рассчитывает два типа потерь: ошибки восстановления и регуляризационные потери. Функция normalize_decoder_weights гарантирует, что веса декодера имеют единичную норму и нулевое среднее значение.

Цикл обучения

Для цикла обучения Anthropic использует большой набор векторов активации MLP, полученных путём обработки значительной части The Pile через трансформер и сохранения активаций. Эти векторы занимают много памяти: каждый токен весит 4 байта, вектор размером 512 элементов в формате FP16 занимает 1024 байта. Из‑за ограничений по памяти вычисления необходимо выполнять пакетно.

# Цикл по количеству шагов обучения
for _ in range(num_training_steps):
    # Получаем пакет входных данных (xb) из итератора пакет, игнорируя метки
    xb, _ = next(batch_iterator)

    # Отключаем вычисление градиентов, так как модель используется
    # только для генерации вложений (без обучения)
    with torch.no_grad():
        # Получаем векторы вложений (MLP-активации) для входного пакета из модели
        x_embedding, _ = model.forward_embedding(xb)

    # Обнуляем градиенты оптимизатора перед обратным распространением ошибки
    optimizer.zero_grad()

    # Пропускаем вложения через автокодировщик
    # и вычисляем потери восстановления и регуляризации
    outputs, recon_loss, reg_loss = autoencoder(x_embedding, compute_loss=True)

    # Добавляем регуляризационный член с коэффициентом масштабирования (lambda_reg)
    reg_loss = lambda_reg * reg_loss

    # Итоговая функция потерь — сумма потерь восстановления и регуляризационного штрафа
    loss = recon_loss + reg_loss

    # Обратное распространение ошибки для вычисления градиентов
    loss.backward()

    # Обновляем веса модели с помощью оптимизатора
    optimizer.step()

    # Нормализуем веса декодера после каждого шага обучения
    autoencoder.normalize_decoder_weights()

После завершения цикла вызывается normalize_decoder_weights для нормализации весов декодера.

Когда трансформер уже обучен, мы можем запустить этот цикл обучения, чтобы автокодировщик научился формировать разрежённые представления активаций MLP. После этого для нового токенизированного входа можно выполнить следующее:

# Получение признаков из обученной языковой модели
features = autoencoder.encode(transformer.forward_embedding(tokens))

Теперь переменная features будет содержать разрежённое представление токенизированного текста. Если всё работает правильно, элементы в features должны быть интерпретируемыми и обладать ясным значением.

Гистограммы плотности

Чтобы убедиться, что признаки действительно разрежённые, необходимо сравнить гистограммы плотности активаций MLP и активаций автокодировщика. Эти графики показывают, как часто нейроны или признаки активируются на выборке входных данных. Сравнив их, можно определить, действительно ли автокодировщик формирует разрежённые представления.

3cd58aba9fcc976cf16952efadb807d2.jpg

Активации автокодировщика (жёлтые) значительно реже срабатывают, чем нейроны трансформера (фиолетовые). График имеет логарифмическую шкалу, где с каждым делением‑порядком масштаб уменьшается слева направо, снижая на 90% вероятность активации. В то же время, как мы видим, значительное число признаков всё ещё активируется в чуть более чем 10% случаев, что неидеально: это связано с балансом между увеличением разрежённости и предотвращением появления мёртвых признаков (которые никогда не активируются). Крупный всплеск на левом краю графика указывает на группу признаков с чрезвычайно низкой плотностью активации — ultralow density cluster, как называют его исследователи Anthropic.

Теперь можно сгенерировать вектор признаков для нового входа и проверить, насколько эти признаки интерпретируемы.

Результаты и анализ

Всего было выделено 576 нейронов, что меньше, чем их количество в скрытом слое автокодировщика: это связано с наличием признаков с низкой плотностью активации. Эти малозначимые нейроны практически не влияют на функцию потерь, поэтому я исключил их из анализа для большей ясности.

После отсеивания признаков, которые активировались реже чем в 1 из 10 000 токенов, осталось чуть больше половины от изначального числа. Это по‑прежнему больше, чем количество входных признаков трансформера, что соответствует нашим ожиданиям.

Нейрон 169: активация на неанглийских языках

Признак активируется на постфиксах слов в испанском, французском и португальском, но между тем не на любом тексте на этих языках.

ID токена

Интенсивность активации

Токен

Контекст

972

2,67

ement

isation du Gouvernement.\n

29690

2,59

ía

a. Ofrecía, en tal sent

28749

2,51

ão

ela Organização das Naç

8466

2,40

lla

uelta en ella.\nPero

24496

2,39

idas

ões Unidas para a Educa

9390

2,29

uto

siempre diminuto comparado con la

64

2,28

a

de Burr, prima carnal de Clint

8591

2,22

la

la memoria, la «microfis

Таблица показывает, что модель распознаёт языковые паттерны, такие как суффиксы, и обрабатывает их по‑разному, понимая в разных языках части слов, а не только целые слова.

Нейрон 224: алфавитно-цифровые строки

Этот признак активируется на алфавитно‑цифровых строках, особенно шестнадцатеричных и base64-последовательностях, которые часто встречаются в техническом контексте.

ID токена

Интенсивность активации

Токен

Контекст

405

2,30

00

28732c8700b66becaf

24

2,22

9

f14dfe9b6f71

18

2,07

3

23f08c3e16f14

1495

2,05

25

ZSBDb25zdHJH

24

1,80

9

8e1f9e42d128

37452

1,69

576

0b3f576b\n0,

17

1,68

2

91e53a2aafd71

24

1,64

9

LW5u9jFbB

Данный нейрон восприимчив к структурированным данным — он не просто распознаёт символы, а идентифицирует закономерности в кодах и шифрах. Фактически модель выделяет скрытые структуры внутри текста, что делает её полезной для обработки технического языка и программирования.

Нейрон 76: возможность

Этот признак активируется при обнаружении модальных глаголов вроде could, might, must, которые выражают возможность или необходимость.

ID токена

Интенсивность активации

Токен

Контекст

714

3,84

could

a car, there could be denied. Meanwhile

460

3,68

can

basic configuration, you can install and run Elastic

743

3,63

may

so the release itself may not be cause for

1244

3,57

might

iani admits the idea might not be realistic,

460

3,47

can

are better as they can encapsulate the validation

1276

3,34

must

, all community members must respect all applicable copyright

460

3,21

can

whether or not you can be perceived as

460

3,19

can

head means that it can be used as an

Данные свидетельствуют о том, что модель не просто распознаёт слова, но и понимает их смысловые оттенки, она способна интерпретировать выражения неуверенности и обязательности, что важно для более глубокого анализа текста.

Нейрон 44: математика

Признак срабатывает при встрече дефисов, особенно в контексте отрицания или вычитания: например, not good (нехорошо) или 5-3.

ID токена

Интенсивность активации

Токен

Контекст

532

2,36

-

= 59/3 - 20. Suppose 0

532

2,35

-

= 299/5 - 61. Suppose 5

532

2,35

-

**6/144 - d**5/

532

2,33

-

1997. Solve -d*w +

532

2,31

-

'). Solve 2019 - b = -11

532

2,29

-

**3 - 40*w**

532

2,22

-

Let p = 2 - 0. Calculate

532

2,20

-

\nLet v = -56/5 -

Это говорит о том, что нейрон распознаёт не просто символы, а их роль в контексте — он понимает, когда дефис указывает на математическую операцию, а когда изменяет смысл фразы. Таким образом, модель учитывает структуру текста, анализируя его семантику.

Нейрон 991: медицина

Активируется при обнаружении терминов, связанных с биологией.

ID токена

Интенсивность активации

Токен

Контекст

9471

2,34

virus

's and thereby inhibits virus attachment and entry'

6086

2,06

oma

particularly basal cell carcinoma and medullobl

1868

1,80

oid

`eicosanoid production.<

4778

1,76

cells

than those documented in cells, such as micro

20296

1,76

organisms

eukaryotic organisms are highly organised within

7532

1,73

protein

is the only structural protein and main antigen of

39880

1,67

embryo

specific function in the embryo, and for which

2685

1,63

cell

in the endothelial cell lining of the end

Анализ показал, что этот нейрон особенно чувствителен к терминам клеточной и молекулярной биологии, таким как virus (вирус), protein (белок), cell (клетка). Можно сделать вывод, что модель умеет распознавать и обрабатывать сложные научные понятия, и это делает её пригодной для работы с медицинскими и биологическими текстами.

Нейрон 13: un

Этот нейрон реагирует на слова с приставкой un, вроде undo (отменить) и unhappy (несчастный). Модель распознаёт смысловые оттенки отрицания и противопоставления.

ID токена

Интенсивность активации

Токен

Контекст

555

0,45

un

to which\nthe uncollected overiss

555

0,39

un

and of handling an unruly mob are among

555

0,38

un

All surgeries were uneventful without intra

555

0,36

un

taking care to not unsettle the dirt

555

0,35

un

committed, but serves unerringly to

555

0,35

un

on the record is unimportant, so that

555

0,34

un

the time needed to unload $1.

555

0,34

un

act occurred where the uncharged misconduct and the

Нейроны 100 и 229: LaTeX

Нейрон 100 реагирует на различные токены, встречающиеся в LaTeX‑выражениях, особенно когда в них присутствуют открывающие скобки { и [. Это указывает на способность модели правильно интерпретировать сложные уравнения, выражения и ссылки, встречающиеся в научной литературе.

ID токена

Интенсивность активации

Токен

Контекст

90

2,75

{

\\}$$, $\{r_1,

469

2,36

ge

_{\{xi\\geq 0\}} }

58

2,33

[

\\]] and \\[thm:local

58

2,14

[

with the substrate \\[^14^C

1462

2,12

to

isms $Z$\\to A$ with $

90

2,10

{

)^\{\\frac{1}{3}\{\\s

58

2,05

[

side of (\\[eq: S-

27

1,94

<

*p* \\< 0.01;

Когда модель встречает математические выражения LaTeX, заключённые в знаки доллара, например $x$ или $N$, активируется нейрон 229.

ID токена

Интенсивность активации

Токен

Контекст

87

1,81

x

small values of $x$. Since only part

87

1,74

x

has dimensions of $x,$ i.

16

1,64

1

M_D=1.87$ Ge

17

1,62

2

$ has exactly $2p$ zero Ly

53

1,59

V

the size of $V^c_U$

16

1,53

1

) greater than $1$

45

1,51

N

we have varied $N$, $M$,

18

1,51

3

For $k=3$: $$\

Нейрон 211: Let

Этот признак включается при обработке закрывающей скобки в математических выражениях, начинающихся с Let, например в конструкциях вида Let f(x) = ….

ID токена

Интенсивность активации

Токен

Контекст

8

1,35

)

Let l(f) = -689*

8

1,24

)

Let o(n) be the first derivative

8

1,18

)

Let g(x) = 3*x

8

1,18

)

Let s(h) = -10*

8

1,17

)

Let l(o) = -4*

8

1,16

)

Let r(f) = 15*f

8

1,16

)

Let t(r) = -r**

8

1,16

)

Let o(m) = -5 -

Нейрон 2: принятие решений

Этот нейрон трудно поддаётся однозначной интерпретации, однако он, по‑видимому, активируется в контекстах, связанных с аргументацией или процессом принятия решений. Возможно, анализ более длинных фрагментов текста поможет точнее определить его назначение, но некоторые особенности работы автокодировщика остаются сложными для расшифровки.

ID токена

Интенсивность активации

Токен

Контекст

20087

2,10

stimulation

that is rich in stimulation. Curiousity will

2761

2,08

problems

" you're making up problems where there are none"

4056

2,01

programs

they believed zoo breeding programs using best practice can

3190

1,99

completely

mitting you are not completely sure why you follow

3190

1,88

completely

the funds together to completely pay it off before

5348

1,88

communities

a diverse mix of communities, individuals and interests

1690

1,87

often

and consensus . We often have confidence that there

4695

1,83

animals

way to save endangered animals was to protect the

Нейрон 3: запятые

Этот нейрон реагирует на запятые в различных контекстах. Он выполняет структурную функцию в тексте, активируясь всякий раз, когда в предложении используется запятая.

ID токена

Интенсивность активации

Токен

Контекст

11

1,48

,

National Labor Relations Act, Precision bears the burden

11

1,47

,

a conviction and sentence, including the initial forfeiture

11

1,36

,

assessment of its conduct, contending only that

11

1,29

,

to dismiss her case, it could not have

828

1,24

),

charged as a conspiracy), all reasonably foreseeable acts

11

1,22

,

increase to $10,000 per month.

11

1,20

,

a party in interest, and after notice and

11

1,17

,

be\nset aside, the Board affirmed the

Нейрон 5: математическая интерпретация

Этот нейрон включается в математических контекстах, особенно в учебных материалах, таких как доказательства и экзаменационные вопросы. Он ориентирован на академические и технические тексты, где обсуждаются математические концепции.

ID токена

Интенсивность активации

Токен

Контекст

356

2,62

we

dx]. Even though we are zooming close

356

2,44

we

\\] for which we can derive a closed

13

2,41

.

-2 - g. List the prime factors

198

2,33

\n

4890153?\n-5868185

737

2,32

).

2/(-9).\n1008\n

13

2,22

.

*p + 212. Calculate the least

356

2,21

we

ation. Thus, we could be sure at

13

2,16

.

7 = -23. What is the highest

Что показывают результаты?

Мы словно заглянули под микроскопом в мозг нашей миниатюрной LLM, чтобы понять, как она думает, но вместо стройных, логически упорядоченных мыслей обнаружили хаос: отдельные нейроны не отвечали за конкретные концепции, а одновременно активировались в ответ на самые разные идеи. Это то самое явление полисемантичности, и по ощущениям оно было похоже на попытку разобраться в устройстве города, слушая тысячи голосов, кричащих одновременно.

Чтобы навести порядок в этом шуме, мы применили изящную технику — разрежённый автокодировщик, и это сработало: внезапно некоторые нейроны начали чётко специализироваться на определённых понятиях. Например, один из них активировался исключительно при встрече испанских суффиксов, другой реагировал на шестнадцатеричный код, третий включался при словах‑маркерах вероятности вроде could и must. Более того, обнаружились нейроны, которые распознают математические выражения в LaTeX, а один даже мог быть связан с логическим обоснованием доводов — намёк на зачатки убедительной аргументации.

Некоторые из этих находок пока остаются расплывчатыми, но это огромный шаг вперёд: теперь перед нами не просто гигантская непостижимая матрица чисел, а набор специализированных функций, словно у LLM есть крошечные цепи, отвечающие за разные типы знаний.

Исследование проводилось на сравнительно маленькой модели, но оно доказывает важную вещь: понять, как думает LLM, вполне возможно. Это сложная задача, но её можно решать — шаг за шагом, нейрон за нейроном. И возможно, с помощью таких методов, как разрежённое словарное обучение, мы однажды сможем полностью картировать мозг языковой модели и раскрыть неожиданные способы, которыми ИИ структурирует знания.


Однако перед нами ещё множество вопросов. Можно ли научиться объяснять каждое решение модели так, чтобы оно было прозрачным? Жду ваши комментарии.

Чтобы поэкспериментировать с нейросетями, загляните в наш агрегатор нейросетей BotHub — у нас собраны лучшие модели, готовые к запуску сразу после регистрации. ChatGPT‑o1-mini, ChatGPT‑o3-mini, DeepSeek‑r1, а также Dalle-3, Midjourney и другие топовые модели — без ВПН и сложностей. Ну а если хотите обсудить тонкости работы ИИ, получить советы и инсайты — присоединяйтесь к нашему сообществу BotHub Community, мы там делимся лайфхаками, обсуждаем новинки и тестируем нейросети. Не забудьте заглянуть в телеграм‑канал, а также блог фаундера — там тоже много интересного.

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  • 30.07.26 00:04 Ahmed

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  • 04.08.26 11:05 Kisnoles

    Excellent analysis, thank you. I was particularly struck by how rigidly the skill sets the order: data processing and form come first, with color coming last. This really cures the habit of "first a pretty palette, then we'll figure it out." A palette validator using OKLCH + color blindness + WCAG is something most chart generators lack. And regarding the boundaries of competence, it's very clear. Where there's a self-checking loop (color), you delegate freely. Where there's a heuristic (form, data interpretation), you remain the final filter. This is a universal principle, not just for /dataviz. By the way, when you look at trading dashboards (including those of decent platforms like ExpertOption), it's immediately clear who thought about readability and who just threw in rainbow lines. Tools like this skill could greatly improve the quality of analytics. Thanks again for the detailed analysis – saved.

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  • 12.08.26 16:37 rssllhrnsb

    I learned an important lesson after investing in what appeared to be a genuine opportunity. Unfortunately, I was unable to access my funds, which reinforced the importance of carrying out thorough due diligence, checking whether an investment is appropriately regulated, and seeking qualified professional advice rather than relying solely on online reviews or testimonials. During the process of addressing my case, I worked with Mrs. Tatiana Sorina , who communicated clearly, provided regular updates, and handled the matter in a professional manner. According to my experience, I have recovered $50,000 so far, while efforts to resolve the remaining balance are still in progress. If you wish to contact her, the details I used are: Mrs. Tatiana Sorina
TEXT : (tatianasorina06 at G_Ma IL dot ..c 0 m)…. Before committing money to any investment, take time to verify the legitimacy of the platform, confirm any relevant regulatory authorisations, and avoid investing more than you can comfortably afford to lose.

  • 16.08.26 01:44 Matt Kegan

    CapitalNode Analytics. They help to investigate and recover stolen digital assets from fake trading platforms. Great firm i must say.

  • 18.08.26 04:59 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 WhatsApp/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.08.26 04:59 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 WhatsApp/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.08.26 14:50 BAYER7043

    My account was locked, and I couldn’t access my own information until [email protected] +447476618364 whats?up? helped me recover it. This lady hacker was kind and professional, but this experience showed me how risky account lockouts can be. If you’re facing the same problem, do not panic consult her A. S. A. P. Be careful with recovery agents outchea, and research their name, business, and reviews before sharing any details. Never send passwords, security codes, banking information, or copies of your ID unless you’ve confirmed who you’re dealing with. Be wary of promises that sound too good to be true, especially claims that require little information or guarantee instant access with outrageous fees.

  • 20.08.26 11:32 michaeldavenport218

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

  • 20.08.26 11:32 michaeldavenport218

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

  • 23.08.26 20:02 leslieyee

    Excellent analysis by /dataviz! I was particularly struck by how strictly the order is defined: "data meaning first, color last" and how the validator actually adjusts the palette according to OKLCH, color blindness, and WCAG standards. These rules greatly improve the quality of charts. By the way, a similar approach to clean and legible charts is highly valued in trading—for example, on the ExpertOption platform, the interface and price visualization are designed to ensure information is read instantly and without unnecessary noise.

  • 25.08.26 13:44 lydiassmith567

    HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 25.08.26 13:44 lydiassmith567

    HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 30.08.26 15:37 [email protected]

    Discovering I had been defrauded, I searched online for services claiming to recover stolen ETH. I contacted several companies, but none succeeded. Although some claimed they could trace assets or recover funds, I could not verify their success or recover my money. I later found SYLVESTER BRYANT Recovery through Google. After contacting him, he recovered 450,000,00. He can be reached at [email protected] or WhatsApp at +1 512 577 7957.

  • 30.08.26 15:37 [email protected]

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  • 01.09.26 11:16 lisawerth897

    My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684

  • 01.09.26 11:16 lisawerth897

    My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684

  • 01.09.26 17:34 Garry42

    Really crazy world. These fraudsters go at any length to steal your hard earned funds. I have been a victim of a bitcoin scam about 7 months back. A Con artist gained access to my cashapp account through a phishing scam. They stole $409,000. I was really devastated. I did everything to get back my funds by contacting the FBI but they claimed there was nothing they could do. A friend told me about a recovery expert. He helps fight against various phishing and investment scams and they were able to help trace and recover my funds even though it took over 2 days. you can reach out to him through recoverydarek@gmail. com . I can guarantee his services are still active.

  • 01.09.26 17:34 Garry42

    Really crazy world. These fraudsters go at any length to steal your hard earned funds. I have been a victim of a bitcoin scam about 7 months back. A Con artist gained access to my cashapp account through a phishing scam. They stole $409,000. I was really devastated. I did everything to get back my funds by contacting the FBI but they claimed there was nothing they could do. A friend told me about a recovery expert. He helps fight against various phishing and investment scams and they were able to help trace and recover my funds even though it took over 2 days. you can reach out to him through recoverydarek@gmail. com . I can guarantee his services are still active.

  • 02.09.26 03:43 kimberlyhebertt6877

    I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684

  • 02.09.26 03:43 kimberlyhebertt6877

    I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684

  • 04.09.26 21:51 Kovengray

    Recovering your lost investment funds as the case might be, is not what you can do alone, you’d require the service of a trained recovery specialist. A recovery specialist is a person or a group of people who are well equipped to work around the brokerage network. They have vast knowledge about the whole network and have the right software and private keys to follow any transaction. I was ripped off trading online to an investment broker, good thing I got every penny back through the help of Gavin ray he’s a genius Contact : Gavinray78 at gmail com or WhatsApp +1 352 322 2096 It is also important to be patient and really calm during the process.

  • 05.09.26 21:38 [email protected]

    I invested 45,000  Euro, and later aggreviated to 198,000 Euro.  I requested  to place ‎Withdrawal of my funds to be paid to my Bank account. But nothing happened I was subjected to pay more fee until I can get my funds on my account, i got in touch with Theodore ryan here on this platform who had helped a lot of people, I followed all instructions and he legally got back my withheld funds, I got threatened by the company that if I don’t pay they will get my account frozen, all thanks to Theodore ryan and I highly recommend him to anyone dealing with an unregulated broker company… contact him on his Gmail - theodoreryan318@  gmail .  com

  • 09.09.26 21:31 lisawerth897

    My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684

  • 09.09.26 21:31 lisawerth897

    My Experience With Cryptocurrency — CAPITAL CRYPTO RECOVER I lost over $82,000 in Bitcoin after falling victim to a fraudulent online investment scheme. After realizing I had been scammed, I spent considerable time researching possible ways to recover my funds. During my research, I came across CAPITAL CRYPTO RECOVER and decided to contact them after reading their reported success record and encouraging client positive reviews and testimonials. Their team guided me through the recovery process, and I was grateful to successfully recover my lost cryptocurrency. The experience was challenging, but I appreciated the assistance and support I received throughout the process. I’m sharing my experience in the hope that it may encourage other victims to carefully research their options and verify any recovery service before proceeding. I will forever be thankful to you CAPITAL CRYPTO RECOVER 📧 [email protected] 🌐 Website: recovercapital.wixsite.com/capital-crypto-rec-1 📧 [email protected] 📞 Call/WhatsApp: +1 (336) 390-6684

  • 09.09.26 23:22 Fraddy Pual

    Hearing that these individuals are focusing on other people makes me very sad. I had a similar situation with them and lost a lot of money, but after learning about (Cruxcipherteam @ proton DoT me), whataqq:+168160-15021, telegram: @Cruxcipherteam I was able to get my money back. It's critical that we all be watchful and keep reporting these occurrences.

  • 11.09.26 03:23 kimberlyhebertt6877

    I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684

  • 11.09.26 03:23 kimberlyhebertt6877

    I invested in bitcoin trading After losing $78.4 USDT) linked to a romance fraud scam worth of cryptocurrency through an online investment platform and later discovered it was a scam. After extensive research for recovery options, I contacted CAPITAL CRYPTO RECOVER based on positive client reviews and recommendations. Their professional security team guided me through the recovery process using advanced technology, and I was able to recover my lost cryptocurrency successfully. I am truly grateful for their support and assistance during such a difficult experience. I will advise you to contact CAPITAL CRYPTO RECOVER helped me recover my funds. For anyone facing similar issues, Website: https://recovercapital.wixsite.com/capital-crypto-rec-1 Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] WhatsApp/Text Number: +1 (336) 390-6684

  • 15.09.26 03:35 elioduncan

    I fell victim to a freelance web development contract scam that ultimately cost me CAD 4,000. It all started when I came across a job posting on Indeed Canada, a popular online job portal. The position seemed perfect: a freelance web developer role for an established company looking for someone to design and build a fully functional e-commerce website. The job promised a high payment of CAD 20,000 upon successful completion, which sounded like a great opportunity for me to gain experience and earn decent pay.The employer, who introduced himself as a project manager from a "well-known" tech company, was very persuasive and professional in our initial communication. He explained that the project involved developing a user-friendly, responsive online store for their client and that they had a strict timeline to meet. He assured me that the payment would be made promptly after completing the tasks. However, before starting the work, he told me that I would need to pay an upfront fee of CAD 4,000 to cover certain software tools and licensing fees required for the project. This was supposedly a part of their company policy for freelance contractors, ensuring access to their premium resources. The idea of working on a professional project, coupled with the promise of a substantial payout, convinced me to pay the upfront fee.As soon as I made the payment, the project manager became increasingly difficult to reach. He initially responded to my emails and provided some vague instructions on what the project would entail, but as time went on, communication slowed to a complete halt. I never received the required tools or any proper project details. My emails went unanswered, and any attempts to contact the company were met with silence. After waiting for weeks, I realized that I had been scammed.Desperate to recover my money, I turned to TechY Force Cyber Retrieval, a service that specializes in helping victims of online scams. They helped me track the payment and took legal steps to pursue the fraudsters. Through their guidance, I was able to recover the full CAD 4,000. TechY Force Cyber Retrieval worked with my bank to reverse the transaction and liaised with the authorities to trace the scammer's details.This was a hard lesson, and I now know to be highly cautious about online job offers that require upfront payments. It is crucial to research companies thoroughly and avoid any job that seems too good to be true, especially when it involves paying money upfront. WhatsApp https://wa.link/2x6ktp Mail. [email protected]

  • 15.09.26 15:45 lydiassmith567

    HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.09.26 15:45 lydiassmith567

    HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 05.10.26 21:26 [email protected]

    I Invested 45,000  Euro, and later aggreviated to 198,000 Euro.  I requested  to place Withdrawal of my funds to be paid to my Bank account. But nothing happened I was subjected to pay more fee until I can get my funds on my account, i got in touch with Theodore ryan here on this platform who had helped a lot of people, I followed all instructions and he legally got back my withheld funds, I got threatened by the company that if I don’t pay they will get my account frozen, all thanks to Theodore ryan and I highly recommend him to anyone dealing with an unregulated broker company… contact him on his Gmail - theodoreryan318@  gmail .  com

  • 06.10.26 06:13 melissathomason573

    Professional Crypto Recovery Testimonial After losing a significant amount of cryptocurrency through a scam on Twitter, I was unsure whether my Bitcoin funds could ever be recovered. The experience was extremely stressful, particularly because I encountered several individuals and services claiming they could help recover my assets, only to discover that some were fraudulent themselves. A friend eventually referred me to CAPITAL CRYPTO RECOVER. Their team handled my case professionally, discreetly, and efficiently. With their assistance, I successfully recovered approximately $130,000 worth of USDT in just over a week. My experience taught me the importance of being extremely cautious when seeking cryptocurrency recovery services, as scammers often target victims a second time. I am grateful to CAPITAL CRYPTO RECOVER for the assistance I received and wanted to share my experience with others who may be facing a similar situation. If you’ve been compromised, don’t lose hope—and be careful of fraudsters posing as saviors. CAPITAL CRYPTO RECOVER are real professionals in crypto recovery. I am a living proof of their effectiveness, you can reach them through Phone (Call/WhatsApp): +1 (336) 390-6684 Email: [email protected] Alternate Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 06.10.26 06:13 melissathomason573

    Professional Crypto Recovery Testimonial After losing a significant amount of cryptocurrency through a scam on Twitter, I was unsure whether my Bitcoin funds could ever be recovered. The experience was extremely stressful, particularly because I encountered several individuals and services claiming they could help recover my assets, only to discover that some were fraudulent themselves. A friend eventually referred me to CAPITAL CRYPTO RECOVER. Their team handled my case professionally, discreetly, and efficiently. With their assistance, I successfully recovered approximately $130,000 worth of USDT in just over a week. My experience taught me the importance of being extremely cautious when seeking cryptocurrency recovery services, as scammers often target victims a second time. I am grateful to CAPITAL CRYPTO RECOVER for the assistance I received and wanted to share my experience with others who may be facing a similar situation. If you’ve been compromised, don’t lose hope—and be careful of fraudsters posing as saviors. CAPITAL CRYPTO RECOVER are real professionals in crypto recovery. I am a living proof of their effectiveness, you can reach them through Phone (Call/WhatsApp): +1 (336) 390-6684 Email: [email protected] Alternate Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 06.10.26 17:44 Darrell1717

    I fell victim of a scam I invested to total of 5thousand into. I know it could be risky but after I trusted this man I was dating online he lured me into investing with him. I know hard I worked of my money so I wanted every way possible to get it back. I really appreciate Blockrecoveryexpert for successfully recovered my funds form this scammer. This is all I can say. You can reachout if you ever need help contact blockrecoveryexpert (at) gmail (dot)com

  • 11.10.26 03:04 Patricia014

    Most recovery companies will take your money again. I personally think they’re the same set of people running all of them. It’s a sad, unending cycle, and so many people fall for cloned websites. The only recovery agent I know is Agent Rottgen Raphael. I’ve visited their physical company address, and they’ll tell you if they can handle your case instead of taking upfront payment when they know they can’t help. I highly appreciate their support in recovering my money from the scammers’ wallet within 24 hours. RottgenRaphael@Gmail. com

  • 12.10.26 19:34 lydiassmith567

    HIRE A HACKER YOUR STOLEN CRYPTO RECOVERY / BTC / USDT / ETH WITH THE HELP OF CAPITAL CRYPTO RECOVER. I want to share my experience publicly regarding cryptocurrency wallet recovery, I highly recommend you to contact CAPITAL CRYPTO RECOVER, a professional private investigator in the Bitcoin world. They have a certified expert security team specializing in Bitcoin Recovery Services and have helped many people worldwide recover their lost funds. My wife and I were defrauded by an online manipulator posing as an experienced crypto investment professional. We lost $9.2 Million Stolen BTC in cryptocurrency and were left feeling homeless. After spending hours searching for a reliable crypto recovery service, I discovered CAPITAL CRYPTO RECOVER online. By patiently explaining my situation to their team, I was able to recover all my funds. Remarkably, my money was returned to my wallet in less than 24 hours. I am extremely grateful to CAPITAL CRYPTO RECOVER for their excellent assistance—they truly were a godsend in my difficult situation. If you have fallen victim to a cryptocurrency scam, you can reach CAPITAL CRYPTO RECOVER through the following channels Email: [email protected] OR Call/WhatsApp: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 12.10.26 19:34 lydiassmith567

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