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The Hopfield associative memory model stores random patterns in synaptic couplings according to Hebb's rule and retrieves them through gradient descent on an energy function. This conventional setting, where neurons are assumed to have…

Disordered Systems and Neural Networks · Physics 2026-01-23 Yoshiyuki Kabashima , Kazushi Mimura

The Hopfield network model and its generalizations were introduced as a model of associative, or content-addressable, memory. They were widely investigated both as an unsupervised learning method in artificial intelligence and as a model of…

Neurons and Cognition · Quantitative Biology 2024-12-10 Marco Cafiso , Paolo Paradisi

Humans can learn in a continuous manner. Old rarely utilized knowledge can be overwritten by new incoming information while important, frequently used knowledge is prevented from being erased. In artificial learning systems, lifelong…

Computer Vision and Pattern Recognition · Computer Science 2018-10-08 Rahaf Aljundi , Francesca Babiloni , Mohamed Elhoseiny , Marcus Rohrbach , Tinne Tuytelaars

Recurrent neural networks are frequently studied in terms of their information-processing capabilities. The structural properties of these networks are seldom considered, beyond those emerging from the connectivity tuning necessary for…

Molecular Networks · Quantitative Biology 2025-02-20 Maria Sol Vidal-Saez , Jordi Garcia-Ojalvo

Replay is the reactivation of one or more neural patterns, which are similar to the activation patterns experienced during past waking experiences. Replay was first observed in biological neural networks during sleep, and it is now thought…

Neurons and Cognition · Quantitative Biology 2021-06-01 Tyler L. Hayes , Giri P. Krishnan , Maxim Bazhenov , Hava T. Siegelmann , Terrence J. Sejnowski , Christopher Kanan

In this article we intoduce a novel stochastic Hebb-like learning rule for neural networks that is neurobiologically motivated. This learning rule combines features of unsupervised (Hebbian) and supervised (reinforcement) learning and is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Frank Emmert-Streib

Memories in the brain are separated in two categories: short-term and long-term memories. Long-term memories remain for a lifetime, while short-term ones exist from a few milliseconds to a few minutes. Within short-term memory studies,…

Neural and Evolutionary Computing · Computer Science 2014-11-26 Julien Hubert , Takashi Ikegami

Memory is often defined as the mental capacity of retaining information about facts, events, procedures and more generally about any type of previous experience. Memories are remembered as long as they influence our thoughts, feelings, and…

Neurons and Cognition · Quantitative Biology 2017-06-16 Stefano Fusi

We investigate the computational limits of the memory retrieval dynamics of modern Hopfield models from the fine-grained complexity analysis. Our key contribution is the characterization of a phase transition behavior in the efficiency of…

Machine Learning · Computer Science 2024-06-04 Jerry Yao-Chieh Hu , Thomas Lin , Zhao Song , Han Liu

Despite advances in deep learning, neural networks can only learn multiple tasks when trained on them jointly. When tasks arrive sequentially, they lose performance on previously learnt tasks. This phenomenon called catastrophic forgetting…

Machine Learning · Computer Science 2018-05-29 Nitin Kamra , Umang Gupta , Yan Liu

Backpropagation is a cornerstone algorithm in training neural networks for supervised learning, which uses a gradient descent method to update network weights by minimizing the discrepancy between actual and desired outputs. Despite its…

We analyze continuous Hopfield associative memories augmented by additional, rapid short-term associative synaptic plasticity. Through the cavity method, we determine the boundary between the retrieval and forgetting, or spin-glass phase,…

Neurons and Cognition · Quantitative Biology 2026-02-10 Martina Del Gaudio , Federico Ghimenti , Surya Ganguli

Despite its widespread use in neural networks, error backpropagation has faced criticism for its lack of biological plausibility, suffering from issues such as the backward locking problem and the weight transport problem. These limitations…

Machine Learning · Computer Science 2024-10-24 Chia-Hsiang Kao , Bharath Hariharan

Current generation of memory-augmented neural networks has limited scalability as they cannot efficiently process data that are too large to fit in the external memory storage. One example of this is lifelong learning scenario where the…

Machine Learning · Computer Science 2018-12-12 Hyunwoo Jung , Moonsu Han , Minki Kang , Sungju Hwang

Large language models lack persistent, structured memory for long-term interaction and context-sensitive retrieval. Expanding context windows does not solve this: recent evidence shows that context length alone degrades reasoning by up to…

Computation and Language · Computer Science 2026-04-01 Diego C. Lerma-Torres

Humans and animals have the ability to continually acquire, fine-tune, and transfer knowledge and skills throughout their lifespan. This ability, referred to as lifelong learning, is mediated by a rich set of neurocognitive mechanisms that…

Machine Learning · Computer Science 2019-02-12 German I. Parisi , Ronald Kemker , Jose L. Part , Christopher Kanan , Stefan Wermter

We show how a Hopfield network with modifiable recurrent connections undergoing slow Hebbian learning can extract the underlying geometry of an input space. First, we use a slow/fast analysis to derive an averaged system whose dynamics…

Neurons and Cognition · Quantitative Biology 2011-02-02 Mathieu N. Galtier , Olivier D. Faugeras , Paul C. Bressloff

We investigate a new method to augment recurrent neural networks with extra memory without increasing the number of network parameters. The system has an associative memory based on complex-valued vectors and is closely related to…

Neural and Evolutionary Computing · Computer Science 2016-05-20 Ivo Danihelka , Greg Wayne , Benigno Uria , Nal Kalchbrenner , Alex Graves

Inspired by key neuroscience principles, deep learning has driven exponential breakthroughs in developing functional models of perception and other cognitive processes. A key to this success has been the implementation of crucial features…

Neurons and Cognition · Quantitative Biology 2025-11-07 Guillaume Etter

Keeping a memory of evolving stimuli is ubiquitous in biology, an example of which is immune memory for evolving pathogens. However, learning and memory storage for dynamic patterns still pose challenges in machine learning. Here, we…

Biological Physics · Physics 2021-10-29 Oskar H Schnaack , Luca Peliti , Armita Nourmohammad
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