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Detección de anomalías cripto con autoencoders

Código Machine Learning for Trading

Resumen

Este cuaderno entrena un autoencoder básico con rendimientos horarios de una cesta de mercados perpetuos de criptomonedas. Los rendimientos se estandarizan con el periodo de entrenamiento y una red neuronal comprime la entrada multiactivo en una representación latente bidimensional antes de reconstruirla. El modelo se entrena para minimizar el error cuadrático medio de reconstrucción y después se evalúa en un periodo de prueba posterior. El cuaderno examina el error de reconstrucción como señal de anomalías, lo compara con la volatilidad móvil de Bitcoin, visualiza las representaciones latentes e informa de la calidad de reconstrucción por activo.

El umbral de anomalía se fija en el percentil 95 de la distribución de errores de entrenamiento y se aplica a las observaciones de prueba. El cuaderno presenta un mayor error de reconstrucción como indicador de condiciones inusuales e informa de una correlación de rangos con la volatilidad, pero el fragmento no aporta resultados numéricos que demuestren valor predictivo. Una única división entre entrenamiento y prueba y un umbral derivado de una sola muestra limitan la generalización; el error de reconstrucción puede reflejar cambios en la volatilidad o en la distribución sin identificar su causa. La señal es diagnóstica y no constituye por sí misma una estrategia de trading probada.

Ideas clave

  • Entrena el autoencoder con rendimientos horarios estandarizados de varios criptoactivos.
  • Usa el error de reconstrucción para identificar observaciones distintas de los datos de entrenamiento.
  • Fija el umbral de anomalía a partir de la distribución del error de reconstrucción de entrenamiento.
  • Compara los errores de reconstrucción con la volatilidad móvil y examina el espacio latente bidimensional.
  • Trata la señal como diagnóstica: una sola división y un solo umbral no demuestran su valor para el trading.

Etiquetas

Texto completo
# 11_autoencoder.py


```py
# ---
# jupyter:
#   jupytext:
#     cell_metadata_filter: -all
#     text_representation:
#       extension: .py
#       format_name: percent
#       format_version: '1.3'
#       jupytext_version: 1.19.3
#   kernelspec:
#     display_name: Python 3 (ipykernel)
#     language: python
#     name: python3
# ---

# %% [markdown]
# # Autoencoder on Crypto Returns
#
# **Chapter 14: Latent Factors**
#
# This notebook applies a vanilla autoencoder to crypto hourly returns,
# using reconstruction error as an anomaly signal and visualizing the latent space.
#
# **Why Crypto for Autoencoders**:
# - High-frequency data (35K+ hourly observations)
# - Multiple correlated assets (BTC, ETH, SOL, etc.)
# - Clear regime structure for anomaly detection
#
# **Key Concepts**:
# - Reconstruction error as anomaly/regime indicator
# - Latent space visualization (2D embedding)
# - Relationship between reconstruction error and volatility
#
# **Learning Outcomes**:
# - LO1: Apply autoencoder to multi-asset returns
# - LO2: Use reconstruction error for anomaly detection
# - LO3: Visualize latent representations
#
# **Cross-References**:
# - Chapter 14: `conditional_autoencoder.py` (GKX model)
# - Chapter 13: Deep learning fundamentals
# - Chapter 11: `garch_crypto_vol.py` (volatility comparison)

# %% [markdown]
# ## 1. Setup and Imports

# %%
import warnings

import numpy as np
import pandas as pd
import plotly.express as px
import plotly.graph_objects as go
import polars as pl
import torch
import torch.nn as nn
import torch.optim as optim
from plotly.subplots import make_subplots
from scipy.stats import spearmanr
from sklearn.preprocessing import StandardScaler
from torch.utils.data import DataLoader, TensorDataset

warnings.filterwarnings("ignore")

# ML4T configuration
from data import load_crypto_perps

# Set device
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
print(f"Using device: {device}")


# %%
# Production defaults — Papermill injects overrides for CI

# %%
# Configuration
RANDOM_SEED = 42
np.random.seed(RANDOM_SEED)
torch.manual_seed(RANDOM_SEED)

# Date ranges
START_DATE = "2021-01-01"
END_DATE = "2024-12-01"
TEST_START = "2023-06-01"

# Crypto symbols (top by volume/liquidity)
SYMBOLS = [
    "BTCUSDT",
    "ETHUSDT",
    "SOLUSDT",
    "BNBUSDT",
    "XRPUSDT",
    "ADAUSDT",
    "DOGEUSDT",
    "SUIUSDT",
]

# Autoencoder parameters
LATENT_DIM = 2  # For visualization
HIDDEN_DIM = 32
EPOCHS = 50
BATCH_SIZE = 256
LEARNING_RATE = 0.001

print("Autoencoder Crypto Configuration:")
print(f"  Symbols: {SYMBOLS}")
print(f"  Date range: {START_DATE} to {END_DATE}")
print(f"  Latent dim: {LATENT_DIM}")

# %% [markdown]
# ## 2. Load Crypto Hourly Data

# %%
print("Loading crypto hourly data...")

crypto = load_crypto_perps("1h")

# Filter symbols and date range
crypto = (
    crypto.filter(
        (pl.col("symbol").is_in(SYMBOLS))
        & (pl.col("timestamp") >= pl.lit(START_DATE).str.to_datetime().dt.replace_time_zone("UTC"))
        & (pl.col("timestamp") <= pl.lit(END_DATE).str.to_datetime().dt.replace_time_zone("UTC"))
    )
    .sort(["symbol", "timestamp"])
    .select(["timestamp", "symbol", "close"])
)

# Pivot to wide format
crypto_wide = crypto.pivot(on="symbol", index="timestamp", values="close").sort("timestamp")

# Convert to pandas (strip timezone — not needed for autoencoder analysis)
df = crypto_wide.to_pandas()
df["timestamp"] = pd.to_datetime(df["timestamp"], utc=True).dt.tz_localize(None)
df = df.set_index("timestamp")

# Calculate hourly returns (scaled for stability)
returns = df.pct_change().dropna() * 100  # Percentage returns

# Drop any remaining NaN columns
returns = returns.dropna(axis=1, how="all")
available_symbols = returns.columns.tolist()

print(f"  Observations: {len(returns):,}")
print(f"  Symbols: {available_symbols}")
print(f"  Date range: {returns.index.min()} to {returns.index.max()}")

# %% [markdown]
# ## 3. Autoencoder Architecture


# %%
class CryptoAutoencoder(nn.Module):
    """
    Vanilla Autoencoder for Crypto Returns.

    Architecture:
    - Encoder: Input → Hidden → Latent
    - Decoder: Latent → Hidden → Output (reconstruction)
    """

    def __init__(self, input_dim: int, hidden_dim: int = 32, latent_dim: int = 2):
        super().__init__()

        # Encoder
        self.encoder = nn.Sequential(
            nn.Linear(input_dim, hidden_dim),
            nn.ReLU(),
            nn.BatchNorm1d(hidden_dim),
            nn.Linear(hidden_dim, hidden_dim // 2),
            nn.ReLU(),
            nn.Linear(hidden_dim // 2, latent_dim),
        )

        # Decoder
        self.decoder = nn.Sequential(
            nn.Linear(latent_dim, hidden_dim // 2),
            nn.ReLU(),
            nn.Linear(hidden_dim // 2, hidden_dim),
            nn.ReLU(),
            nn.BatchNorm1d(hidden_dim),
            nn.Linear(hidden_dim, input_dim),
        )

    def forward(self, x):
        z = self.encoder(x)
        x_hat = self.decoder(z)
        return x_hat, z

    def encode(self, x):
        return self.encoder(x)

    def decode(self, z):
        return self.decoder(z)


print("Autoencoder architecture defined")

# %% [markdown]
# ## 4. Train/Test Split and Preparation

# %%
# Split data
test_start_dt = pd.Timestamp(TEST_START)
train = returns[returns.index < test_start_dt].copy()
test = returns[returns.index >= test_start_dt].copy()

print(f"Train: {len(train):,} observations ({train.index.min()} to {train.index.max()})")
print(f"Test:  {len(test):,} observations ({test.index.min()} to {test.index.max()})")

# Standardize
scaler = StandardScaler()
train_scaled = scaler.fit_transform(train)
test_scaled = scaler.transform(test)

# Convert to tensors
train_tensor = torch.FloatTensor(train_scaled).to(device)
test_tensor = torch.FloatTensor(test_scaled).to(device)

# DataLoader
train_dataset = TensorDataset(train_tensor, train_tensor)
train_loader = DataLoader(train_dataset, batch_size=BATCH_SIZE, shuffle=True)

print(f"Input dimension: {train_scaled.shape[1]}")

# %% [markdown]
# ## 5. Training

# %%
print("\nTraining autoencoder...")

# Initialize model
input_dim = train_scaled.shape[1]
model = CryptoAutoencoder(input_dim, hidden_dim=HIDDEN_DIM, latent_dim=LATENT_DIM).to(device)

optimizer = optim.Adam(model.parameters(), lr=LEARNING_RATE)
criterion = nn.MSELoss()

# Training loop
train_losses = []
test_losses = []

for epoch in range(EPOCHS):
    model.train()
    epoch_loss = 0

    for batch_x, _ in train_loader:
        optimizer.zero_grad()
        x_hat, _ = model(batch_x)
        loss = criterion(x_hat, batch_x)
        loss.backward()
        optimizer.step()
        epoch_loss += loss.item()

    train_loss = epoch_loss / len(train_loader)
    train_losses.append(train_loss)

    # Test loss
    model.eval()
    with torch.no_grad():
        test_hat, _ = model(test_tensor)
        test_loss = criterion(test_hat, test_tensor).item()
        test_losses.append(test_loss)

    if epoch % 10 == 0 or epoch == EPOCHS - 1:
        print(f"  Epoch {epoch + 1:3d}: Train Loss={train_loss:.4f}, Test Loss={test_loss:.4f}")

print(f"\nFinal Test Loss: {test_losses[-1]:.4f}")

# Plot training curve
fig = go.Figure()
fig.add_trace(go.Scatter(y=train_losses, name="Train Loss"))
fig.add_trace(go.Scatter(y=test_losses, name="Test Loss"))
fig.update_layout(title="Autoencoder Training", xaxis_title="Epoch", yaxis_title="MSE Loss")
fig.show()

# %% [markdown]
# ## 6. Reconstruction Error Analysis

# %%
print("\nComputing reconstruction errors...")

model.eval()
with torch.no_grad():
    # Get reconstructions
    train_hat, train_z = model(train_tensor)
    test_hat, test_z = model(test_tensor)

    # Per-sample reconstruction error (MSE)
    train_recon_error = ((train_tensor - train_hat) ** 2).mean(dim=1).cpu().numpy()
    test_recon_error = ((test_tensor - test_hat) ** 2).mean(dim=1).cpu().numpy()

# Add to DataFrames
train_results = train.copy()
train_results["recon_error"] = train_recon_error
train_results["is_test"] = False

test_results = test.copy()
test_results["recon_error"] = test_recon_error
test_results["is_test"] = True

# Combine
all_results = pd.concat([train_results, test_results])

print("\nReconstruction Error Statistics:")
print(f"  {'Split':<10} {'Mean':<12} {'Std':<12} {'95th pct':<12}")
print("  " + "-" * 46)
print(
    f"  {'Train':<10} {train_recon_error.mean():<12.4f} "
    f"{train_recon_error.std():<12.4f} {np.percentile(train_recon_error, 95):<12.4f}"
)
print(
    f"  {'Test':<10} {test_recon_error.mean():<12.4f} "
    f"{test_recon_error.std():<12.4f} {np.percentile(test_recon_error, 95):<12.4f}"
)

# %% [markdown]
# ## 7. Reconstruction Error vs Volatility

# %%
# Calculate realized volatility (rolling 24h std)
btc_col = [c for c in returns.columns if "BTC" in c][0]
all_results["volatility"] = all_results[btc_col].rolling(24).std()

# Correlation
valid_idx = ~all_results["volatility"].isna()
vol_corr = spearmanr(
    all_results.loc[valid_idx, "recon_error"], all_results.loc[valid_idx, "volatility"]
)[0]

print("\nReconstruction Error vs Volatility:")
print(f"  Spearman correlation: {vol_corr:.3f}")

# Visualization
fig = make_subplots(
    rows=3,
    cols=1,
    shared_xaxes=True,
    subplot_titles=("BTC Returns", "Reconstruction Error", "24h Rolling Volatility"),
    vertical_spacing=0.08,
)

# Sample for plot
plot_df = all_results.iloc[-2000:]

fig.add_trace(
    go.Scatter(x=plot_df.index, y=plot_df[btc_col], name="BTC Return", line=dict(width=0.5)),
    row=1,
    col=1,
)

fig.add_trace(
    go.Scatter(
        x=plot_df.index,
        y=plot_df["recon_error"],
        name="Recon Error",
        line=dict(width=1, color="red"),
    ),
    row=2,
    col=1,
)

# Add anomaly threshold (95th percentile from train)
threshold = np.percentile(train_recon_error, 95)
fig.add_hline(y=threshold, line_dash="dash", line_color="gray", row=2, col=1)

fig.add_trace(
    go.Scatter(
        x=plot_df.index,
        y=plot_df["volatility"],
        name="Volatility",
        line=dict(width=1, color="orange"),
    ),
    row=3,
    col=1,
)

fig.update_layout(height=700, title_text="Reconstruction Error vs Market Conditions")
fig.show()

# %% [markdown]
# ## 8. Latent Space Visualization

# %%
print("\nLatent Space Analysis...")

# Get latent representations
train_latent = train_z.cpu().numpy()
test_latent = test_z.cpu().numpy()

# Create latent DataFrame
latent_train = pd.DataFrame(train_latent, columns=["z1", "z2"], index=train.index)
latent_train["split"] = "Train"
latent_train["recon_error"] = train_recon_error

latent_test = pd.DataFrame(test_latent, columns=["z1", "z2"], index=test.index)
latent_test["split"] = "Test"
latent_test["recon_error"] = test_recon_error

latent_all = pd.concat([latent_train, latent_test])

# Add volatility regime
latent_all["volatility"] = all_results["volatility"]
vol_median = latent_all["volatility"].median()
latent_all["regime"] = np.where(latent_all["volatility"] > vol_median, "High Vol", "Low Vol")

# Sample for visualization
plot_latent = latent_all.dropna().iloc[::10]  # Subsample

fig = px.scatter(
    plot_latent,
    x="z1",
    y="z2",
    color="regime",
    opacity=0.5,
    title="Latent Space Colored by Volatility Regime",
    color_discrete_map={"High Vol": "red", "Low Vol": "blue"},
)
fig.update_layout(height=500)
fig.show()

# Latent space by reconstruction error
fig = px.scatter(
    plot_latent,
    x="z1",
    y="z2",
    color="recon_error",
    color_continuous_scale="Reds",
    opacity=0.5,
    title="Latent Space Colored by Reconstruction Error",
)
fig.update_layout(height=500)
fig.show()

# %% [markdown]
# ## 9. Anomaly Detection

# %%
print("\nAnomaly Detection using Reconstruction Error...")

# Define anomaly threshold (95th percentile of train)
anomaly_threshold = np.percentile(train_recon_error, 95)
print(f"  Anomaly threshold (95th pct): {anomaly_threshold:.4f}")

# Identify anomalies
test_results["is_anomaly"] = test_results["recon_error"] > anomaly_threshold
n_anomalies = test_results["is_anomaly"].sum()
anomaly_rate = n_anomalies / len(test_results)

print(f"  Test anomalies: {n_anomalies:,} ({anomaly_rate:.1%})")

# Analyze anomaly characteristics
print("\nAnomaly Characteristics:")
normal_mask = ~test_results["is_anomaly"]
anomaly_mask = test_results["is_anomaly"]

print(f"  {'Metric':<20} {'Normal':<15} {'Anomaly':<15}")
print("  " + "-" * 50)

for col in available_symbols[:3]:
    normal_vol = test_results.loc[normal_mask, col].std()
    anomaly_vol = test_results.loc[anomaly_mask, col].std()
    print(f"  {col[:15]:<20} {normal_vol:<15.3f} {anomaly_vol:<15.3f}")

# %% [markdown]
# ## 10. Per-Asset Reconstruction Quality

# %%
print("\nPer-Asset Reconstruction Quality...")

model.eval()
with torch.no_grad():
    test_hat_np = test_hat.cpu().numpy()

# Inverse transform to original scale
test_recon = scaler.inverse_transform(test_hat_np)
test_orig = test.values

# Per-asset MSE
asset_mse = {}
for i, col in enumerate(test.columns):
    mse = np.mean((test_orig[:, i] - test_recon[:, i]) ** 2)
    asset_mse[col] = mse

# Sort
asset_mse_sorted = sorted(asset_mse.items(), key=lambda x: x[1])

print(f"\n  {'Asset':<12} {'MSE':<12} {'Quality':<10}")
print("  " + "-" * 34)
for asset, mse in asset_mse_sorted:
    quality = "Good" if mse < np.median(list(asset_mse.values())) else "Poor"
    print(f"  {asset:<12} {mse:<12.4f} {quality:<10}")

# %% [markdown]
# ## 11. Summary

# %%
print("\n" + "=" * 60)
print("AUTOENCODER CRYPTO - KEY FINDINGS")
print("=" * 60)

print("\n1. MODEL PERFORMANCE:")
print(f"   Final train loss: {train_losses[-1]:.4f}")
print(f"   Final test loss:  {test_losses[-1]:.4f}")
print(f"   Latent dimension: {LATENT_DIM}")

print("\n2. RECONSTRUCTION ERROR:")
print(f"   Mean (train): {train_recon_error.mean():.4f}")
print(f"   Mean (test):  {test_recon_error.mean():.4f}")
print(f"   Correlation with volatility: {vol_corr:.3f}")

print("\n3. ANOMALY DETECTION:")
print(f"   Threshold (95th pct): {anomaly_threshold:.4f}")
print(f"   Anomaly rate in test: {anomaly_rate:.1%}")
print("   High reconstruction error = unusual market conditions")

print("\n4. LATENT SPACE:")
print("   - 2D latent space captures volatility regime structure")
print("   - High-vol periods cluster separately from low-vol")
print("   - Reconstruction error increases with market stress")

print("\n5. PRACTICAL APPLICATIONS:")
print("   - Use reconstruction error as risk indicator")
print("   - Anomaly threshold for regime change detection")
print("   - Latent factors for portfolio construction")
print("   - Compare to conditional autoencoder for factor estimation")
print("=" * 60)

print("\n[OK] Autoencoder crypto analysis complete")

```

Se muestra íntegramente con atribución según la licencia de la fuente. Licencia: MIT

Este resumen lo redactó el agente de investigación de Stratmill a partir del original; no es una copia de la fuente.