Cited by 1,106Sparse and Compressive Sensing TechniquesAdvanced Neural Network ApplicationsNeural Networks and Applications

Efficient Learning of Sparse Representations with an Energy-Based Model

Ranzato, Marc'Aurelio, Poultney, Christopher, Chopra, Sumit, LeCun, Yann·2007·Advances in Neural Information Processing Systems 19

Abstract

We describe a novel unsupervised method for learning sparse, overcomplete features. The model uses a linear encoder, and a linear decoder preceded by a sparsifying non-linearity that turns a code vector into a quasi-binary sparse code vector. Given an input, the optimal code minimizes the distance between the output of the decoder and the input patch while being as similar as possible to the encoder output. Learning proceeds in a two-phase EM-like fashion: (1) compute the minimum-energy code vector, (2) adjust the parameters of the encoder and decoder so as to decrease the energy. The model produces “stroke detectors ” when trained on handwritten numerals, and Gabor-like filters when trained on natural image patches. Inference and learning are very fast, requiring no preprocessing, and no expensive sampling. Using the proposed unsupervised method to initialize the first layer of a convolutional network, we achieved an error rate slightly lower than the best reported result on the MNIST dataset. Finally, an extension of the method is described to learn topographical filter maps. 1

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Authors
Ranzato, M., Poultney, C., Chopra, S., & LeCun, Y.
Venue
Advances in Neural Information Processing Systems 19
Publisher
The MIT Press
Published
2007-09-07
Pages
1137-1144
OpenAlex
W2172174689
Cited by
1,106
References
14
Citations by year
2026: 7 · 2025: 26 · 2024: 26 · 2023: 38 · 2022: 55 · 2021: 89 · 2020: 107 · 2019: 126 · 2018: 117 · 2017: 102 · 2016: 70 · 2015: 66 · 2014: 72 · 2013: 50 · 2012: 37
FWCI
66.16
Type
book chapter
Language
en
Open access
closed
Locations
The MIT Press eBooks (publishedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Sparse and Compressive Sensing Techniques
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Neural Network Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
Keywords
sparse representation learning, energy-based models, unsupervised feature learning, overcomplete representations, handwritten digit recognition, natural image patches

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