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Journal ArticleDOI

A fast learning algorithm for deep belief nets

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TLDR
A fast, greedy algorithm is derived that can learn deep, directed belief networks one layer at a time, provided the top two layers form an undirected associative memory.
Abstract
We show how to use "complementary priors" to eliminate the explaining-away effects that make inference difficult in densely connected belief nets that have many hidden layers. Using complementary priors, we derive a fast, greedy algorithm that can learn deep, directed belief networks one layer at a time, provided the top two layers form an undirected associative memory. The fast, greedy algorithm is used to initialize a slower learning procedure that fine-tunes the weights using a contrastive version of the wake-sleep algorithm. After fine-tuning, a network with three hidden layers forms a very good generative model of the joint distribution of handwritten digit images and their labels. This generative model gives better digit classification than the best discriminative learning algorithms. The low-dimensional manifolds on which the digits lie are modeled by long ravines in the free-energy landscape of the top-level associative memory, and it is easy to explore these ravines by using the directed connections to display what the associative memory has in mind.

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References
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Book ChapterDOI

Choosing search heuristics by non-stationary reinforcement learning

TL;DR: This article proposes a procedure that learns, during the search process, how to select promising heuristics, based on weight adaptation and can even switch between differentHeuristics during search.
Proceedings Article

Rate-coded Restricted Boltzmann Machines for Face Recognition

TL;DR: A neurally-inspired, unsupervised learning algorithm that builds a non-linear generative model for pairs of face images from the same individual and individuals are then recognized by finding the highest relative probability pair among all pairs that consist of a test image and an image whose identity is known.
Proceedings Article

Learning Sparse Topographic Representations with Products of Student-t Distributions

TL;DR: A model for natural images in which the probability of an image is proportional to the product of the probabilities of some filter outputs is proposed and used as a prior to derive the "iterated Wiener filter" for the purpose of denoising images.
Journal ArticleDOI

Deep, narrow sigmoid belief networks are universal approximators

TL;DR: It is shown that exponentially deep belief networks can approximate any distribution over binary vectors to arbitrary accuracy, even when the width of each layer is limited to the dimensionality of the data.
Journal ArticleDOI

Recognizing handwritten digits using hierarchical products of experts

TL;DR: On the MNIST database, the system is comparable with current state-of-the-art discriminative methods, demonstrating that the product of experts learning procedure can produce effective generative models of high-dimensional data.
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