# Hopfield network/Origins

## Origins of the NetworkEdit

Ising model of a neural network as a memory model is first proposed by William A. Little in 1974,^{[1]} which is acknowledged by Hopfield in his 1982 paper.^{[2]} Networks with continuous dynamics were developed by Hopfield in his 1984 paper.^{[3]} A major advance in memory storage capacity was developed by Krotov and Hopfield in 2016^{[4]} through a change in network dynamics and energy function. This idea was further extended by Demircigil and collaborators in 2017.^{[5]}

The continuous dynamics of large memory capacity models was developed in a series of papers between 2016 and 2020.^{[4]}^{[6]}^{[7]} Large memory storage capacity Hopfield Networks are now called Dense Associative Memories or modern Hopfield networks.

## Learning TaskEdit

- Explain the role of the Energy Function for the convergence of the Hopfield networks and the recognition of trained input data for the Hopfield network.

## ReferencesEdit

- ↑ Little, W. A. (1974). "The Existence of Persistent States in the Brain".
*Mathematical Biosciences***19**(1–2): 101–120. doi:10.1016/0025-5564(74)90031-5. - ↑ Hopfield, J. J. (1982). "Neural networks and physical systems with emergent collective computational abilities".
*Proceedings of the National Academy of Sciences***79**(8): 2554–2558. doi:10.1073/pnas.79.8.2554. PMID 6953413. PMC 346238. //www.ncbi.nlm.nih.gov/pmc/articles/PMC346238/. - ↑ Hopfield, J. J. (1984). "Neurons with graded response have collective computational properties like those of two-state neurons".
*Proceedings of the National Academy of Sciences***81**(10): 3088–3092. doi:10.1073/pnas.81.10.3088. PMID 6587342. PMC 345226. //www.ncbi.nlm.nih.gov/pmc/articles/PMC345226/. - ↑
^{4.0}^{4.1}Krotov, Dmitry; Hopfield, John (2016). "Dense Associative Memory for Pattern Recognition".*Neural Information Processing Systems***29**: 1172–1180. - ↑ Mete, Demircigil
*et al*. (2017). "On a model of associative memory with huge storage capacity.".*Journal of Statistical Physics***168**(2): 288–299. doi:10.1007/s10955-017-1806-y. https://link.springer.com/article/10.1007/s10955-017-1806-y. - ↑ Ramsauer, Hubert
*et al*. (2021). "Hopfield Networks is All You Need".*International Conference on Learning Representations*. - ↑ Krotov, Dmitry; Hopfield, John (2021). "Large associative memory problem in neurobiology and machine learning".
*International Conference on Learning Representations*.