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The Little-Hopfield network is an auto-associative computational model of neural memory storage and retrieval. This model is known to robustly store collections of randomly generated binary patterns as stable-states of the network dynamics.…

Neurons and Cognition · Quantitative Biology 2015-04-30 Christopher Hillar , Ngoc Tran , Kilian Koepsell

We investigate the retrieval phase diagrams of an asynchronous fully-connected attractor network with non-monotonic transfer function by means of a mean-field approximation. We find for the noiseless zero-temperature case that this…

Disordered Systems and Neural Networks · Physics 2009-10-28 Jun-ichi Inoue

We present results for two different kinds of high order connections between neurons acting as corrections to the Hopfield model. Equilibrium properties are analyzed using the replica mean-field theory and compared with numerical…

Condensed Matter · Physics 2009-10-22 J. J. Arenzon , R. M. C. de Almeida

We consider the class of Hopfield models of associative memory with activation function $F$ and state space $\{-1,1\}^N$, where each vertex of the cube describes a configuration of $N$ binary neurons. $M$ randomly chosen configurations,…

Probability · Mathematics 2025-04-08 Véronique Gayrard

Hair cells of the auditory and vestibular systems display astonishing sensitivity, frequency selectivity, and temporal resolution to external signals. These specialized cells utilize an internal active amplifier to achieve highly sensitive…

Neurons and Cognition · Quantitative Biology 2021-03-31 Justin Faber , Hancheng Li , Dolores Bozovic

Many models used in artificial intelligence and cognitive science rely on multi-element patterns stored in "slots" - dedicated storage locations - in a digital computer. As biological brains likely lack slots, we consider how they might…

Neural and Evolutionary Computing · Computer Science 2025-11-07 Shaunak Bhandarkar , James L. McClelland

Astrocytes, the most abundant type of glial cell, play a fundamental role in memory. Despite most hippocampal synapses being contacted by an astrocyte, there are no current theories that explain how neurons, synapses, and astrocytes might…

Neurons and Cognition · Quantitative Biology 2024-07-24 Leo Kozachkov , Jean-Jacques Slotine , Dmitry Krotov

Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

Neurons and Cognition · Quantitative Biology 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

Machine learning methods have shown promise in learning chaotic dynamical systems, enabling model-free short-term prediction and attractor reconstruction. However, when applied to large-scale, spatiotemporally chaotic systems, purely…

Chaotic Dynamics · Physics 2026-01-09 Kuei-Jan Chu , Nozomi Akashi , Akihiro Yamamoto

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

Recent advances in neuroscience together with nanoscale electronic device technology have resulted in huge interests in realizing brain-like computing hardwares using emerging nanoscale memory devices as synaptic elements. Although there…

Neural and Evolutionary Computing · Computer Science 2014-07-15 Sukru Burc Eryilmaz , Duygu Kuzum , Rakesh Jeyasingh , SangBum Kim , Matthew BrightSky , Chung Lam , H. -S. Philip Wong

It has been shown that a neural network model recently proposed to describe basic memory performance is based on a ternary/binary coding/decoding algorithm which leads to a new neural network assembly memory model (NNAMM) providing…

Artificial Intelligence · Computer Science 2007-05-23 Petro M. Gopych

Federated learning enables collaborative training without sharing raw data, but struggles under client heterogeneity and streaming distribution shifts, where drift and novel data can impair convergence and cause forgetting. We propose a…

Disordered Systems and Neural Networks · Physics 2026-03-23 Andrea Alessandrelli , Fabrizio Durante , Andrea Ladiana , Andrea Lepre

We present an algorithm to store binary memories in a Hopfield neural network using minimum probability flow, a recent technique to fit parameters in energy-based probabilistic models. In the case of memories without noise, our algorithm…

Adaptation and Self-Organizing Systems · Physics 2015-05-21 Christopher Hillar , Jascha Sohl-Dickstein , Kilian Koepsell

This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

The standard consolidation theory states that short-term memories located in the hippocampus enable the consolidation of long-term memories in the neocortex. In other words, the neocortex slowly learns long-term memories with a transient…

Neurons and Cognition · Quantitative Biology 2024-04-05 Lisa Blum Moyse , Hugues Berry

Neural coupling in both neuroscience and artificial intelligence emerges as dynamic oscillatory patterns that encode abstract concepts. To this end, we hypothesize that a deeper understanding of the neural mechanisms governing brain rhythms…

Neurons and Cognition · Quantitative Biology 2026-02-03 Tingting Dan , Jiaqi Ding , Guorong Wu

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

Typical address-oriented computer memories cannot recognize incomplete or noisy information. Associative (content-addressable) memories solve this problem but suffer from severe capacity shortages. I propose a model of a quantum memory that…

Quantum Physics · Physics 2009-11-06 Carlo A. Trugenberger

Sequential learning involves learning tasks in a sequence, and proves challenging for most neural networks. Biological neural networks regularly conquer the sequential learning challenge and are even capable of transferring knowledge both…

Neural and Evolutionary Computing · Computer Science 2025-03-06 Hayden McAlister , Anthony Robins , Lech Szymanski