Introduction to the Theory of Neural Computation
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Using tricks-of-trade and allowing small retrieval errors, the storage capacity of classical Hopfield networks is about 0.138 d.
“Using tricks-of-trade and allowing small retrieval errors, the storage capacity is about 0 . 138 d (Crisanti et al., 1986; Hertz et al., 1991; Torres et al., 2002).”
From Hopfield Networks is All You Need (2020) · cites this paper as Hertz et al., 1991
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Forecasting with artificial neural networks:
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The Basal Ganglia and Adaptive Motor Control
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Artificial optic-neural synapse for colored and color-mixed pattern recognition
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Pattern classification by memristive crossbar circuits using ex situ and in situ training
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Ramsauer, H., Schäfl, B., Lehner, J., Seidl, P., Widrich, M., Adler, T., Gruber, L., Holzleitner, M., Pavlović, M., Sandve, G. K., et al. (2020) · arXiv · doi:10.48550/arxiv.2008.02217 · Cited by 236 · see citing works
A Systematic Review of Deep Learning Approaches to Educational Data Mining
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Comparison of computational models of familiarity discrimination in the perirhinal cortex
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Learning the invariance properties of complex cells from their responses to natural stimuli
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Privacy-Preserving Gradient-Descent Methods
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Statistical physics of liquid brains
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Long-Term Memory Stabilized by Noise-Induced Rehearsal
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Human innovation and the creative agency of the world in the age of generative AI
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Evolution of Brains and Computers: The Roads Not Taken
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MesaNet: Sequence Modeling by Locally Optimal Test-Time Training
von Oswald, J., Scherrer, N., Kobayashi, S., Versari, L., Yang, S., Mittal, S., Schlegel, M., Maile, K., Schimpf, Y., Sieberling, O., et al. (2025) · arXiv
- Authors
- Hertz, J., Krogh, A., Palmer, R. G., & Horner, H.
- Affiliations
- Heidelberg University (DE)
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 1991-12-01
- Volume
- 44
- Issue
- 12
- Pages
- 70-70
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W4214871172
- Cited by
- 1,079
- References
- 0
- Citations by year
- 2026: 13 · 2025: 17 · 2024: 22 · 2023: 26 · 2022: 31 · 2021: 30 · 2020: 24 · 2019: 26 · 2018: 19 · 2017: 30 · 2016: 15 · 2015: 22 · 2014: 29 · 2013: 24 · 2012: 27
- Type
- book review
- Language
- en
- Open access
- closed
- Locations
- Physics Today (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Reservoir Computing
- Keywords
- neural computation, computational neuroscience, artificial neural networks, brain computation
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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