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article · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003

Learning curves for mutual information maximization

Robert Urbanczik

Cited by 2Open access

Abstract

An unsupervised learning procedure based on maximizing the mutual information between the outputs of two networks receiving different but statistically dependent inputs is analyzed [S. Becker and G. Hinton, Nature (London) 355, 161 (1992)]. For a generic data model, I show that in the large sample limit the structure in the data is recognized by mutual information maximization. For a more restricted model, where the networks are similar to perceptrons, I calculate the learning curves for zero-temperature Gibbs learning. These show that convergence can be rather slow, and a way of regularizing the procedure is considered.

Cite this paper

APA 7

Urbanczik, R. (2003). Learning curves for mutual information maximization. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 68(1), 016106. https://doi.org/10.1103/physreve.68.016106

MLA 9

Urbanczik, Robert. “Learning curves for mutual information maximization.” Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, vol. 68, no. 1, 2003, p. 016106, https://doi.org/10.1103/physreve.68.016106.

Chicago

Urbanczik, Robert. 2003. “Learning curves for mutual information maximization.” Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 68 (1): 016106. https://doi.org/10.1103/physreve.68.016106.

Harvard

Urbanczik, R. (2003) ‘Learning curves for mutual information maximization’, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 68(1), p. 016106. Available at: https://doi.org/10.1103/physreve.68.016106.

BibTeX
@article{urbanczik2003learning,
  title = {{Learning curves for mutual information maximization}},
  author = {Urbanczik, Robert},
  journal = {Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume = {68},
  number = {1},
  pages = {016106},
  year = {2003},
  doi = {10.1103/physreve.68.016106}
}

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