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Н Новости

Классификация экзопланет (часть II построение моделей)

Это вторая и заключительная часть статьи, в которой мы рассматриваем задачу классификации экзопланет. Если предыдущая статья была больше про предобработку данных, то здесь мы будем строить модели, отбирать лучшие и экспериментировать.

P.S. некоторые моменты могут быть не понятны, поэтому лучше начать с первой части: https://habr.com/ru/articles/800999/

Итак я надеюсь что все кто хотел, посмотрели первую часть, поэтому можно начинать.

Случайный Лес

В тот раз мы отобрали признаки методом Gain, используя случайный лес, сейчас посмотрим, насколько эффективно было это делать, построив еще одну модель случайного леса.

rfi = RandomForestClassifier(max_depth=2, random_state=42)
rfi.fit(X_train[['koi_fpflag_nt', 'koi_fpflag_ss', 'koi_fpflag_co', 'koi_fpflag_ec',
       'koi_depth', 'koi_prad', 'koi_prad_err1', 'koi_prad_err2', 'koi_teq',
       'koi_insol_err1', 'koi_insol_err2', 'koi_model_snr', 'koi_steff_err1',
       'koi_steff_err2']], y_train)
rfi_pred_train=rfi.predict(X_train[['koi_fpflag_nt', 'koi_fpflag_ss', 'koi_fpflag_co', 'koi_fpflag_ec',
       'koi_depth', 'koi_prad', 'koi_prad_err1', 'koi_prad_err2', 'koi_teq',
       'koi_insol_err1', 'koi_insol_err2', 'koi_model_snr', 'koi_steff_err1',
       'koi_steff_err2']])
rfi_pred_test=rfi.predict(X_test[['koi_fpflag_nt', 'koi_fpflag_ss', 'koi_fpflag_co', 'koi_fpflag_ec',
       'koi_depth', 'koi_prad', 'koi_prad_err1', 'koi_prad_err2', 'koi_teq',
       'koi_insol_err1', 'koi_insol_err2', 'koi_model_snr', 'koi_steff_err1',
       'koi_steff_err2']])

На самом деле не очень красочно таскать с собой этот список из признаков, но я человек ленивый, увидел вывод признаков в Feature Selection, скопировал, добавил скобочки [квадратные] и вперед.

Посмотрим на метрики

metrics(y_test,rfi_pred_test)

accuracy: 0.9456351280710925
f1: 0.94831013916501
roc auc: 0.9462939057241274

А че это за функция такая может спросить читатель, который не перешел на первую часть и поленился. Не осуждаю. Это функция и вот она:

def metrics(y_true,y_pred):
    acc=accuracy_score(y_true, y_pred)
    f1=f1_score(y_true, y_pred)
    roc_auc=roc_auc_score(y_true, y_pred)
    print(f'accuracy: {acc}\nf1: {f1}\nroc auc: {roc_auc} ')

Поскольку мы будем строить больше чем несколько моделей наличие такой функции упрощает нам жизнь, инженерное решение, можно сказать)

Теперь вспомним про то, что еще мы использовали F-тест для отбора признаков, получили такой список: ['koi_fpflag_nt', 'koi_fpflag_ss', 'koi_fpflag_co', 'koi_fpflag_ec', 'koi_depth', 'koi_teq', 'koi_steff_err1', 'koi_steff_err2'] , с него просто забираем переменную X_f, которая объявлялась в коде первой части

y_f=y
X_f_train, X_f_test, y_f_train, y_f_test = train_test_split(X_f, y_f, test_size=0.2, random_state=42)
model_f=RandomForestClassifier(max_depth=2, random_state=42)
model_f.fit(X_f_train, y_f_train)
f_pred=model_f.predict(X_f_test)
metrics(y_f_test, f_pred)

accuracy: 0.9790904338734971
f1: 0.9801192842942346
roc auc: 0.9798926657489797

Пока что F-test это самое лучшее что случалось с этими данными, мне очень нравятся такие метрики, но мы на этом не остановимся.

XGBoost

мемчик с интернета для того чтобы не было скучно

Прежде чем строить модель XGBoost, прогоним его через GridSearchCV, скорее всего это произойдет относительно быстро. Я просто отмечу, что чем больше параметров вы решили прогнать, тем больше времени это займет.
GridSearchCV позволяет отобрать лучшие параметры для обучения модели, по моим ощущениям у XGBoost данная функция работает быстрее чем у Catboost, как и в принципе процесс обучения. Возможно я не прав, поэтому если у кого то есть мысли на этот счет, хотелось бы их послушать.
Запускаем процесс:

from xgboost import XGBClassifier
from sklearn.model_selection import GridSearchCV
xgbmodel = XGBClassifier()
parameters = {'learning_rate': [0.03, 0.1],
              'max_depth': [2,3.5, 10],
              'colsample_bytree': [0.7, 0.5, 1],
              'n_estimators': [0,150,10]}

xgb_grid = GridSearchCV(xgbmodel,
                        parameters,
                        cv = 2,
                        n_jobs = 5,
                        verbose=True)

xgb_grid.fit(X,y)

print(xgb_grid.best_score_)
print(xgb_grid.best_params_)

На выходе получаем такое:
Fitting 2 folds for each of 54 candidates, totalling 108 fits 0.9807611877875366 {'colsample_bytree': 1, 'learning_rate': 0.03, 'max_depth': 2, 'n_estimators': 150}

записываем эти параметры в нашу модель XGBoost

xgb=XGBClassifier(n_estimators=150, learning_rate=0.1, max_depth=2, colsample_bytree=0.7 ,randomstate=0)
xgb.fit(X_f_train, y_f_train)
metrics(y_test, xgb.predict(X_f_test))

accuracy: 0.9822268687924726
f1: 0.9831516352824579
roc auc: 0.982836728555653

Метрики лучше, чем у случайного леса, причем во всех 3-х построенных его вариациях.
Можно сверху накинуть Gain и уменьшить выборку, но как по мне 8 параметров и такие метрики это хорошее соотношение. Если у кого- то будет желание, думаю реализовать метод Gain по аналогии с Random-Forest (снова же предыдущая статья) не составит труда.

А мы делаем следующий шаг

CatBoost

Отбор параметров можно сделать и через Catboost, к тому же у него есть для этого свой метод, который еще и график прикольный строит, но вам придется ждать, а параметры XGBoost у нас уже есть и думаю никто не будет против, если мы их интегрируем в Catboost с небольшими изменениями:

from catboost import CatBoostClassifier
cat=CatBoostClassifier(n_estimators=150, learning_rate=0.1, max_depth=2,bootstrap_type='Bayesian', task_type='GPU')
cat.fit(X_f_train,y_f_train, verbose=False)
cat_pred=cat.predict(X_f_test)
metrics(y_test, cat_pred)

Метрики:
accuracy: 0.9822268687924726
f1: 0.9831516352824579
roc auc: 0.982836728555653

Итак, с точки зрения классического ML мы реализовали наиболее популярные модели и получили как и ожидалось получили лучшие метрики на моделях градиентного бустинга.

Нейросеть на tensorflow

Теперь проверим поставленный тезис в I части о том, что можно эту задачу решить через нейронную сеть.

Для начала стандартизируем данные относительно нормального распределения

mean=X_train.mean(axis=0)
std=X_train.std(axis=0)
X_train-= mean
X_train/= std
X_test-= mean
X_test/= std
#запринтим что мы сделали
print('train mean',X_train.mean(axis=0)[:5]) 
print('test mean',X_test.mean(axis=0)[:5]) 
print('train std',X_train.std(axis=0)[:5])
print('train std',X_test.std(axis=0)[:5])

std- среднеквадратичное отклонение
mean- среднее

Кстати std будет для всех равно 1 в print-е

Небольшое отступление

Для построения НС мы будем использовать tensorflow, который после версии 2.11 перестал поддерживать обучение на GPU на Windows, подробнее можно прочитать на их сайте: https://www.tensorflow.org/install/pip?hl=ru#windows-native_1
Чтобы решить данную проблему нужно установить python версии 3.9 (у меня 3.9.18), удалять текущий пайтон не нужно, но для версии 3.9 нужно создать отдельную виртуальную среду, например через miniconda, скачать CUDA и CUDNN если у вас NVidia, насчет альтернатив не знаю, так как у самого Nvidia. Все веселье с установкой состоит в том что нужно правильно подобрать версии всех этих расширений и библиотеки tensorflow. На это действительно может уйти много времени, если ранее вы ничего подобного не делали, поэтому дополнительно может помочь этот парень с ютуба, который заморочился и сделал подробную установку всех Cuda и Cudnn: https://www.youtube.com/watch?v=xTF_n1jp9n8
Однако о создании новой Venv ( виртуальной среды) он вроде не очень много говорил, поэтому тем кто ищет гугл в помощь.
Альтернатива всему этому либо обучение на CPU то есть на обычном процессоре, либо же google Colab, где можно выбрать на чем будет работать ваша среда и пользоваться плюшками сервиса. Для данной задачи их мощностей должно хватить.
Обучение на GPU явно быстрее чем на CPU, прирост в 1.5-2 раза можно получить точно.

На этом закончим отступление

Зададим параметры модели, а перед этим проверим, работает ли GPU

import tensorflow as tf 
physical_devices = tf.config.list_physical_devices('GPU')
print("Num GPUs:", len(physical_devices))
#output: 1  если gpu работает

model = tf.keras.Sequential([
    tf.keras.layers.Dense(32, activation='relu', input_shape=(X_train.shape[1],)),
    tf.keras.layers.Dense(16, activation='relu' ),
                    
    tf.keras.layers.Dense(1, activation='sigmoid')
])
model.summary()

# Model: "sequential"
# _________________________________________________________________
#  Layer (type)                Output Shape              Param #   
# =================================================================
#  dense (Dense)               (None, 32)                1376      
                                                                 
#  dense_1 (Dense)             (None, 16)                528       
                                                                 
#  dense_2 (Dense)             (None, 1)                 17        
                                                                 
# =================================================================
# Total params: 1,921
# Trainable params: 1,921
# Non-trainable params: 0
# _________________________________________________________________

Обучаем и смотрим на lossы


model.compile(optimizer='adam', loss='binary_crossentropy')

history = model.fit(X_train, y_train, epochs=16, verbose=1)

# Визуализация процесса обучения
plt.plot(history.history['loss'])
plt.xlim(-0.5,20)
plt.title('Loss')
plt.xlabel('Epoch')
plt.ylabel('Loss')
plt.show()

model loss

Воспользуемся Datageneratorом, позаимствованным у этого прекрасного автора с youtube: https://www.youtube.com/watch?v=PLlic60dgS4&list=PLkJJmZ1EJno4lRvtQjQrNNACpeMLOd-SD&index=7

В нем задается batch_size, поэтому если вы хотите получить результат поскорее, то просто увеличьте его например до 16, 32 или 48 и т.д. Качество модели упадет, но зато она быстрее построится.

import numpy as np
from tensorflow.keras.utils import Sequence


class DataGenerator(Sequence):
    def __init__(self, data, labels, batch_size=1):
        self.batch_size = batch_size
        self.data = data
        self.labels = labels
        
    def __len__(self):
        return int(np.round(len(self.data) / self.batch_size))

    def __getitem__(self, index):
        X = self.data[index * self.batch_size : (index+1) * self.batch_size]
        y = self.labels[index * self.batch_size : (index+1) * self.batch_size]

        return X, y
train_datagen = DataGenerator(X_train, y_train)
test_datagen = DataGenerator(X_test, y_test)
print(len(train_datagen))
print(len(test_datagen))

Обучим еще одну нейронку с оценкой данных на валидации

from tensorflow.keras.callbacks import ModelCheckpoint

# Создаем коллбэк для выполнения оценки на валидационных данных
checkpoint = ModelCheckpoint(filepath='best_model.h5', save_best_only=True, save_weights_only=True)
# Обучение модели с выполнением оценки на валидационных данных
history = model.fit(train_datagen, epochs=16, batch_size=100, validation_data=test_datagen, callbacks=[checkpoint])

# Загрузка лучших весов модели
model.load_weights('best_model.h5')

plt.plot(history.history['loss'], label='train loss')
plt.plot(history.history['val_loss'], label='validation loss')
plt.legend( );

Ну такое себе, видимо не сегодня, tensorflow.

Можно покрутить параметры модели и возможно выйти на неплохие метрики, но эта игра не стоит свеч.

Бонус. Isolation Forest

Казалось бы мы сделали все что можно и после градиентного бустинга можно было остановиться и сказать что модель готова, но ради интереса можно рассмотреть Isolation Forest. Это метод обучения без учителя, который используется в задачах кластеризации и поиска аномалий.

from sklearn.ensemble import IsolationForest
clf = IsolationForest(max_samples=50, random_state=0)
clf.fit(X_f)
pred=clf.predict(X_f_test)
# на выход модель выдает либо 1 либо -1, для перехода к нашим параметрам, нужно переписать значения:
pred_processed = np.where(pred == -1, 0, pred)

pred_counts = pd.Series(pred_processed).value_counts()

# Строим график
pred_counts.plot(kind='barh', color=sns.palettes.mpl_palette('Dark2'))
plt.gca().spines[['top', 'right']].set_visible(False)
plt.title('Isolation Forest')
plt.xlim(0, pred_counts.max()) 
plt.show()

zeros_count = y_test[y_test == 0].count()
ones_count = y_test[y_test == 1].count()

print("Количество нулей в y_test:", zeros_count)
print("Количество единиц в y_test:", ones_count)

Количество нулей в y_test: koi_pdisposition 894 dtype: int64
Количество единиц в y_test: koi_pdisposition 1019 dtype: int64

Можно прогнать его через метрики, но это не имеет особого смысла, ведь количество 0 в реальных данных примерно на 150-200 значений выше, чем у модели, да и в принципе подход метрик к задачам без учителя процесс сомнительный. Может быть мы получили совсем не то, что искали.

Вывод

Градиентный бустинг остается грозой Kaggle и является отличной моделью для решения данной задачи, которая справилась лучше чем НС. Причина как мне кажется в том, что данных для нейронки нужно на порядок больше и тогда она по другому заиграет и ожидание процесса обучения окупится. Я надеюсь, что последние 2 статьи заинтересовали определенный круг людей, как новичков, так и более опытных в data science, хотелось бы получить какой-то фидбэк по проделанной работе, или какие то советы по тому, как можно было бы улучшить результаты моделей.

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26 мар. 2024 г.

07.09.23 16:24 CherryTeam

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08.10.23 01:30 davec8080

The "Shibarium for this confirmed rug pull is a BEP-20 project not related at all to Shibarium, SHIB, BONE or LEASH. The Plot Thickens. Someone posted the actual transactions!!!! https://bscscan.com/tx/0xa846ea0367c89c3f0bbfcc221cceea4c90d8f56ead2eb479d4cee41c75e02c97 It seems the article is true!!!! And it's also FUD. Let me explain. Check this link: https://bscscan.com/token/0x5a752c9fe3520522ea88f37a41c3ddd97c022c2f So there really is a "Shibarium" token. And somebody did a rug pull with it. CONFIRMED. But the "Shibarium" token for this confirmed rug pull is a BEP-20 project not related at all to Shibarium, SHIB, BONE or LEASH.
24.06.24 04:31 tashandiarisha

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26.06.24 18:46 Jacobethannn098

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04.07.24 04:49 ZionNaomi

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13.07.24 21:13 michaelharrell825

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17.07.24 02:26 thompsonrickey

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27.08.24 12:50 James889900

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06.09.24 01:35 Celinagarcia

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06.09.24 01:44 Celinagarcia

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16.09.24 00:10 marcusaustin

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23.09.24 18:56 matthewshimself

At first, I was admittedly skeptical about Worldcoin (ref: https://worldcoin.org/blog/worldcoin/this-is-worldcoin-video-explainer-series), particularly around the use of biometric data and the WLD token as a reward mechanism for it. However, after following the project closer, I’ve come to appreciate the broader vision and see the value in the underlying tech behind it. The concept of Proof of Personhood (ref: https://worldcoin.org/blog/worldcoin/proof-of-personhood-what-it-is-why-its-needed) has definitely caught my attention, and does seem like a crucial step towards tackling growing issues like bots, deepfakes, and identity fraud. Sam Altman’s vision is nothing short of ambitious, but I do think he & Alex Blania have the chops to realize it as mainstay in the global economy.
01.10.24 14:54 Sinewclaudia

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02.10.24 22:27 Emily Hunter

Can those who have fallen victim to fraud get their money back? Yes, you might be able to get back what was taken from you if you fell prey to a fraud from an unregulated investing platform or any other scam, but only if you report it to the relevant authorities. With the right plan and supporting documentation, you can get back what you've lost. Most likely, the individuals in control of these unregulated platforms would attempt to convince you that what happened to your money was a sad accident when, in fact, it was a highly skilled heist. You should be aware that there are resources out there to help you if you or someone you know has experienced one of these circumstances. Do a search using (deftrecoup (.) c o m). Do not let the perpetrators of this hoaxes get away with ruining you mentally and financially.
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31.10.24 00:13 ytre89

Can those who have fallen victim to fraud get their money back? Yes, you might be able to get back what was taken from you if you fell prey to a fraud from an unregulated investing platform or any other scam, but only if you report it to the relevant authorities. With the right plan and supporting documentation, you can get back what you've lost. Most likely, the individuals in control of these unregulated platforms would attempt to convince you that what happened to your money was a sad accident when, in fact, it was a highly skilled heist. You should be aware that there are resources out there to help you if you or someone you know has experienced one of these circumstances. Do a search using (deftrecoup (.) c o m). Do not let the perpetrators of this hoaxes get away with ruining you mentally and financially.
02.11.24 14:44 diannamendoza732

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12.11.24 00:50 TERESA

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17.11.24 09:31 Vivianlocke223

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21.11.24 04:14 ronaldandre617

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21.11.24 08:02 Emily Hunter

If I hadn't found a review online and filed a complaint via email to support@deftrecoup. com , the people behind this unregulated scheme would have gotten away with leaving me in financial ruins. It was truly the most difficult period of my life.
22.11.24 04:41 [email protected]

I never could have imagined the nightmare of losing access to my digital wallet. All of my cryptocurrency holdings were abruptly imprisoned, inaccessible, and appeared to be lost forever following a catastrophic hardware breakdown. Years of meticulous investment and careful saving were reduced to nothing more than strings of code that I could no longer control, and I could feel the dread and sorrow that swept through me at that very instant. Thankfully, during my worst moment, I came into (TRUST GEEKS HACK EXPERT), a professional service devoted to recovering lost or inaccessible digital data. With optimism, I went out to their team of skilled technologists, laying bare the full nature of my issue. What followed was a laborious, multi-step process that required an almost surgical level of digital forensics and Bitcoin skill. In order to create a thorough profile of my wallet's contents and activities, the (TRUST GEEKS HACK EXPERT) team first thoroughly examined the transaction history and metadata connected to it. Next, they implemented a series of advanced recovery techniques, using cutting-edge software tools to bypass the access barriers that had left me locked out. The entire process was shrouded in secrecy and discretion, with the (TRUST GEEKS HACK EXPERT) team working tirelessly to protect the confidentiality of my sensitive financial information. After what felt like an eternity of nervous anticipation, the day finally arrived when I received the triumphant notification – my wallet had been successfully restored, and all of my precious digital assets had been returned to my control. The sense of relief was indescribable, as I could finally breathe easy knowing that the fruits of my financial discipline had been safeguarded. While the experience of losing access to my wallet was undoubtedly traumatic, (TRUST GEEKS HACK EXPERT) intervention allowed me to emerge from the ordeal with my cryptocurrency holdings intact, and a renewed appreciation for the importance of proactive digital asset management. You can contact Them through EMAIL: [email protected] - TELEGRAM: TRUSTGEEKSHACKEXPERT
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22.11.24 23:43 teresaborja

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24.11.24 02:21 [email protected]

I never could have imagined the nightmare of losing access to my digital wallet. All of my cryptocurrency holdings were abruptly imprisoned, inaccessible, and appeared to be lost forever following a catastrophic hardware breakdown. Years of meticulous investment and careful saving were reduced to nothing more than strings of code that I could no longer control, and I could feel the dread and sorrow that swept through me at that very instant. Thankfully, during my worst moment, I came into (TRUST GEEKS HACK EXPERT), a professional service devoted to recovering lost or inaccessible digital data. With optimism, I went out to their team of skilled technologists, laying bare the full nature of my issue. What followed was a laborious, multi-step process that required an almost surgical level of digital forensics and Bitcoin skill. In order to create a thorough profile of my wallet's contents and activities, the (TRUST GEEKS HACK EXPERT) team first thoroughly examined the transaction history and metadata connected to it. Next, they implemented a series of advanced recovery techniques, using cutting-edge software tools to bypass the access barriers that had left me locked out. The entire process was shrouded in secrecy and discretion, with the (TRUST GEEKS HACK EXPERT) team working tirelessly to protect the confidentiality of my sensitive financial information. After what felt like an eternity of nervous anticipation, the day finally arrived when I received the triumphant notification – my wallet had been successfully restored, and all of my precious digital assets had been returned to my control. The sense of relief was indescribable, as I could finally breathe easy knowing that the fruits of my financial discipline had been safeguarded. While the experience of losing access to my wallet was undoubtedly traumatic, (TRUST GEEKS HACK EXPERT) intervention allowed me to emerge from the ordeal with my cryptocurrency holdings intact, and a renewed appreciation for the importance of proactive digital asset management. You can contact Them through EMAIL: [email protected] - TELEGRAM: TRUSTGEEKSHACKEXPERT
25.11.24 02:19 briankennedy

COMMENT ON I NEED A HACKER TO RECOVER MONEY FROM BINARY TRADING. HIRE FASTFUND RECOVERY
25.11.24 02:20 briankennedy

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26.11.24 21:59 [email protected]

In a world brimming with enticing investment opportunities, it is crucial to tread carefully. The rise of digital currencies has attracted many eager investors, but along with this excitement lurk deceitful characters ready to exploit the unsuspecting. I learned this lesson the hard way, and I want to share my story in the hopes that it can save someone from making the same mistakes I did. It all began innocently enough when I came across an engaging individual on Facebook. Lured in by promises of high returns in the cryptocurrency market, I felt the electric thrill of potential wealth coursing through me. Initial investments returned some profits, and that exhilarating taste of success fueled my ambition. Encouraged by a meager withdrawal, I decided to commit even more funds. This was the moment I let my guard down, blinded by greed. As time went on, the red flags started to multiply. The moment I tried to withdraw my earnings, a cascade of unreasonable fees appeared like a thick mist, obscuring the truth. “Just a little more,” they said, “Just until the next phase.” I watched my hard-earned money slip through my fingers as I scraped together every last cent to pay those relentless fees. My trust had become my downfall. In the end, I lost not just a significant amount of cash, but my peace of mind about $1.1 million vanished into the abyss of false promises and hollow guarantees. But despair birthed hope. After a cascade of letdowns, I enlisted the help of KAY-NINE CYBER SERVICES, a team that specializes in reclaiming lost funds from scams. Amazingly, they worked tirelessly to piece together what had been ripped away, providing me with honest guidance when I felt utterly defeated. Their expertise in navigating the treacherous waters of crypto recovery was a lifeline I desperately needed. To anyone reading this, please let my story serve as a warning. High returns often come wrapped in the guise of deception. Protect your investments, scrutinize every opportunity, and trust your instincts. Remember, the allure of quick riches can lead you straight to heartbreak, but with cautious determination and support, it is possible to begin healing from such devastating loss. Stay informed, stay vigilant, and may you choose your investment paths wisely. Email: kaynine @ cyberservices . com
26.11.24 23:12 rickrobinson8

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26.11.24 23:12 rickrobinson8

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27.11.24 00:39 [email protected]

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27.11.24 09:10 Michal Novotny

The biggest issue with cryptocurrency is that it is unregulated, wh ich is why different people can come up with different fake stories all the time, and it is unfortunate that platforms like Facebook and others only care about the money they make from them through ads. I saw an ad on Facebook for Cointiger and fell into the scam, losing over $30,000. I reported it to Facebook, but they did nothing until I discovered deftrecoup . c o m from a crypto community; they retrieved approximately 95% of the total amount I lost.
01.12.24 17:21 KollanderMurdasanu

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02.12.24 23:02 ytre89

Online crypto investment can seem like a promising opportunity, but it's crucial to recognize that there are no guarantees. My experience serves as a stark reminder of this reality. I was drawn in by the allure of high returns and the persuasive marketing tactics employed by various brokers. Their polished presentations and testimonials made it seem easy to profit from cryptocurrency trading. Everything appeared to be legitimate. I received enticing messages about the potential for substantial gains, and the brokers seemed knowledgeable and professional. Driven by excitement and the fear of missing out, I invested a significant amount of my savings. The promise of quick profits overshadowed the red flags I should have noticed. I trusted these brokers without conducting proper research, which was a major mistake. As time went on, I realized that the promised returns were nothing but illusions. My attempts to withdraw funds were met with endless excuses and delays. It became painfully clear that I had fallen victim. The reality hit hard: my hard-earned money was gone, I lost my peace of mind and sanity. In my desperation, I sought help from a company called DEFTRECOUP. That was the turning point for me as I had a good conversation and eventually filed a complaint via DEFTRECOUP COM. They were quite delicate and ensured I got out of the most difficult situation of my life in one piece.
04.12.24 22:24 andreygagloev

When I first heard about Bitcoin back in 2018, I was skeptical. The idea of a decentralized, digital currency seemed too good to be true. But I was intrigued as I learned more about the technology behind it and its potential. I started small, investing just a few hundred dollars, dipping my toes into the cryptocurrency waters. At first, it was exhilarating to watch the value of my investment grow exponentially. I felt like I was part of the future, an early adopter of this revolutionary new asset. But that euphoria was short-lived. One day, I logged into my digital wallet only to find it empty - my Bitcoin had vanished without a trace. It turned out that the online exchange I had trusted had been hacked, and my funds were stolen. I was devastated, both financially and emotionally. All the potential I had seen in Bitcoin was tainted by the harsh reality that with decentralization came a lack of regulation and oversight. My hard-earned money was gone, lost to the ether of the digital world. This experience taught me a painful lesson about the price of trust in the uncharted territory of cryptocurrency. While the technology holds incredible promise, the risks can be catastrophic if you don't approach it with extreme caution. My Bitcoin investment gamble had failed, and I was left to pick up the pieces, wiser but poorer for having placed my faith in the wrong hands. My sincere appreciation goes to MUYERN TRUST HACKER. You are my hero in recovering my lost funds. Send a direct m a i l ( muyerntrusted ( @ ) mail-me ( . )c o m ) or message on whats app : + 1 ( 4-4-0 ) ( 3 -3 -5 ) ( 0-2-0-5 )
12.12.24 00:35 amandagregory

HOW TO HIRE A HACKER TO RECOVER STOLEN BITCOIN WITH FASTFUND RECOVERY
12.12.24 00:35 amandagregory

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