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Fisher Vectors based on Gaussian Mixture Model with TensorFlow deep learning support

Project description

DeepFV - Fisher Vectors with Deep Learning

A TensorFlow-based implementation of Improved Fisher Vectors as described in [1]. This package provides a modern, scalable approach to computing Fisher Vectors using deep learning techniques. For a concise description of Fisher Vectors see [2].

Features

  • Full & Diagonal Covariance Support: Model complex elliptical clusters with full covariance matrices, or use diagonal covariance for faster training
  • Mini-batch Training: Scalable to large datasets with mini-batch gradient descent
  • BIC-based Model Selection: Automatically determine optimal number of GMM components
  • GPU Acceleration: Built on TensorFlow 2.x for fast training on GPUs
  • MiniBatchKMeans Initialization: Smart initialization using scikit-learn's MiniBatchKMeans
  • Save/Load Models: Persist trained models for reuse
  • Normalized Fisher Vectors: Implements improved Fisher Vector normalization

Installation

Install from PyPI:

pip install DeepFV

Or install from source:

git clone https://github.com/sidhomj/DeepFV.git
cd DeepFV
pip install -r requirements.txt
pip install -e .

Quick Start

1. Prepare your data

import numpy as np

# Example: SIFT image features
shape = [300, 20, 32]  # (n_images, n_features_per_image, feature_dim)
image_data = np.concatenate([
    np.random.normal(-np.ones(30), size=shape),
    np.random.normal(np.ones(30), size=shape)
], axis=0)

2. Train with mini-batch gradient descent

from DeepFV import FisherVectorDL

# Create model with FULL covariance support
fv_dl = FisherVectorDL(
    n_kernels=10,
    feature_dim=32,
    covariance_type='full'  # or 'diag' for diagonal covariance
)

# Fit with mini-batch training
fv_dl.fit_minibatch(
    image_data,
    epochs=100,
    batch_size=1024*6,
    learning_rate=0.001,
    verbose=True
)

3. BIC-based model selection

# Automatically select optimal number of components
fv_dl = FisherVectorDL(feature_dim=32, covariance_type='full')
fv_dl.fit_by_bic(
    image_data,
    choices_n_kernels=[2, 5, 10, 20],
    epochs=80,
    batch_size=1024,
    verbose=True
)

print(f"Selected {fv_dl.n_kernels} components")

4. Compute Fisher Vectors

# Compute normalized Fisher Vectors
image_data_test = image_data[:20]
fisher_vectors = fv_dl.predict_fisher_vector(image_data_test, normalized=True)

# Output shape: (n_images, 2*n_kernels, feature_dim)
print(f"Fisher vector shape: {fisher_vectors.shape}")

5. Save and load models

# Save trained model
fv_dl.save_model('my_model.pkl')

# Load model later
from DeepFV import FisherVectorDL
fv_dl_loaded = FisherVectorDL.load_model('my_model.pkl')

Why FisherVectorDL?

Advantages over traditional GMM implementations:

  1. Full Covariance Support: Model rotated/tilted elliptical clusters, not just axis-aligned ones
  2. Scalability: Mini-batch training handles datasets too large to fit in memory
  3. Speed: GPU acceleration via TensorFlow for faster training
  4. Flexibility: Customizable learning rate, batch size, and number of epochs
  5. Modern Stack: Built on TensorFlow 2.x with eager execution
  6. Smart Initialization: Uses MiniBatchKMeans for better starting parameters

Testing

Run the test script to see a 2D visualization:

python test_fishervector_dl.py

This will:

  • Generate 3 elliptical Gaussian clusters
  • Train a GMM with full covariance
  • Use BIC to select optimal number of components
  • Compute and visualize Fisher Vectors
  • Save visualizations as PNG files

Contributors

Original Contributors:

References

License

MIT License - see LICENSE file for details

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