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Autoencoders

Autoencoders are neural networks trained to copy their input to output. They consist of an encoder (compresses input into a latent representation) and a decoder (reconstructs from latent representation). By constraining the latent space (e.g., lower dimension), autoencoders learn useful features and can denoise data.

Autoencoder = encoder + decoder. Trained to minimize reconstruction error.

Types of Autoencoders

  • Undercomplete autoencoder: latent dimension smaller than input → forces learning of important features (dimensionality reduction).
  • Denoising autoencoder: trained on corrupted input, reconstructs original clean output → learns robust features.
  • Sparse autoencoder: regularizes to keep most latent units inactive → encourages specialized features.
  • Contractive autoencoder: penalizes sensitivity to small input changes.

Applications

  • Dimensionality reduction (like PCA but non‑linear).
  • Anomaly detection: high reconstruction error indicates anomaly.
  • Denoising images, text, or signals.
  • Feature extraction for downstream tasks.

Simple Example in PyTorch

class Autoencoder(nn.Module):
def __init__(self):
super().__init__()
self.encoder = nn.Linear(784, 32)
self.decoder = nn.Linear(32, 784)
def forward(self, x):
latent = torch.relu(self.encoder(x))
recon = torch.sigmoid(self.decoder(latent))
return recon


Two Minute Drill
  • Autoencoders learn compressed representations by reconstructing inputs.
  • Undercomplete forces feature learning; denoising adds robustness.
  • Used for anomaly detection, denoising, dimensionality reduction.

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