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Cited by 189

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Learning algorithms and probability distributions in feed-forward and feed-back networks

Open access
Hopfield, J. J.·1987·Proceedings of the National Academy of Sciences

Abstract

Learning algorithms have been used both on feed-forward deterministic networks and on feed-back statistical networks to capture input-output relations and do pattern classification. These learning algorithms are examined for a class of problems characterized by noisy or statistical data, in which the networks learn the relation between input data and probability distributions of answers. In simple but nontrivial networks the two learning rules are closely related. Under some circumstances the learning problem for the statistical networks can be solved without Monte Carlo procedures. The usual arbitrary learning goals of feed-forward networks can be given useful probabilistic meaning.

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Metadata

Authors
Hopfield, J. J.
Venue
Proceedings of the National Academy of Sciences
Published
1987-12
Volume
84
Issue
23
Pages
8429-8433
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W1967337726
Cited by
189
References
3
FWCI
5.24
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Learning algorithms and probability distributions in feed-forward and feed-back networks. https://app.cochat.ai/papers/10.1073/pnas.84.23.8429
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Hopfield, J. J. (1987). Learning algorithms and probability distributions in feed-forward and feed-back networks. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.84.23.8429

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.