Gaussian_MNIST_VAE

VAE Model for MNIST

This is a Variational Autoencoder (VAE) model trained on the MNIST dataset.

Model Description

This repository contains a complete implementation of a Variational Autoencoder (VAE) trained on the MNIST handwritten digits dataset. The model learns to encode images into a 20-dimensional latent space and decode them back to reconstructed images, enabling both data compression and generation of new digit-like images. The architecture is based on the implementation outlined in Auto-Encoding Variational Bayes by Diederik et al., 2022

Architecture Details

• Model Type: Variational Autoencoder (VAE)
• Framework: PyTorch
• Input: 28×28 grayscale images
• Latent Space: 25 dimensions
• Encoder and Decoder Layers: 2
• Encoder and Decoder Hidden Channels: Conv(8) → Conv(16) (encoder), Conv(16) → Conv(8) (decoder)
• Total Parameters: ~52k
• Data type: Binary/Continous (automatically detected)
• Current Implementation: Continous

Key Components

1. Encoder Network: Maps input images to latent distribution parameters (μ, σ²)
2. Reparameterization Trick: Enables differentiable sampling from the latent distribution
3. Decoder Network: Reconstructs images from latent space samples
4. Loss Function: Combines reconstruction loss ELBO (Bernoulli: binary cross-entropy, Gaussian: negative log-likelihood) + KL divergence

Training Details

• Dataset: MNIST (60,000 training images, 10,000 test images) torchvision.datasets.MNIST
• Batch Size: 128
• Epochs: 80
• Optimizer: Adam
• Learning Rate: 1e-3

Model Performance

Metrics

• Final Training Loss: ~32.14
• Final Validation Loss: ~32.42
• Reconstruction Loss: ~19.87
• KL Divergence: ~12.91

Capabilities

• ✅ High-quality digit reconstruction
• ✅ Smooth latent space interpolation
• ✅ Generation of new digit-like samples
• ✅ Well-organized latent space with digit clusters

Usage

Using Transformers

from transformers import AutoModel
import torch
import torchvision.transforms as transforms

# Load model
model = AutoModel.from_pretrained("uday9k/Gaussian_MNIST_VAE")

# Generate samples
with torch.no_grad():
    z = torch.randn(1, 20)  # Sample from prior
    generated = model.generate(z=z)
    # Reshape to image
    image = generated.view(28, 28).cpu().numpy()

Visualizations Available

1. Latent Space Visualization: 2D scatter plot showing digit clusters
2. Reconstructions: Original vs. reconstructed digit comparisons
3. Generated Samples: New digits sampled from the latent space
4. Interpolations: Smooth transitions between different digits
5. Training Curves: Loss components over training epochs

Files and Outputs

• MNIST_VAE_Train Continous.ipynb: Complete implementation with training and visualization
• customVAE_model2.pth: Trained model weights
• generated_samples: Grid of generated digit samples as part of notebook
• latent_space_visualization: 2D latent space plot as part of notebook
• reconstruction_comparison: Original vs reconstructed images as part of notebook
• latent_interpolation: Interpolation between digit pairs as part of notebook
• comprehensive_training_curves: Training loss curves as part of notebook

Applications

This VAE implementation can be used for:

• Generative Modeling: Create new handwritten digit images
• Dimensionality Reduction: Compress images to 20D representations
• Anomaly Detection: Identify unusual digits using reconstruction error
• Data Augmentation: Generate synthetic training data
• Representation Learning: Learn meaningful features for downstream tasks
• Educational Purposes: Understand VAE concepts and implementation

Research and Educational Value

This implementation serves as an excellent educational resource for:

• Understanding Variational Autoencoders theory and practice
• Learning PyTorch implementation techniques
• Exploring generative modeling concepts
• Analyzing latent space representations
• Studying the balance between reconstruction and regularization

Citation

If you use this implementation in your research or projects, please cite:

@misc{vae_mnist_implementation,
  title={Variational Autoencoder Implementation for MNIST},
  author={Uday Jain},
  year={2026},
  url={https://huggingface.co/uday9k/Gaussian_MNIST_VAE}
}

License

This project is licensed under the MIT License - see the LICENSE file for details.

Additional Resources

• GitHub Repository: Profile

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Tags: deep-learning, generative-ai, pytorch, vae, mnist, computer-vision, unsupervised-learning

Model Card Authors: Uday Jain