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This work studies how brain-inspired neural ensembles equipped with local Hebbian plasticity can perform active inference (AIF) in order to control dynamical agents. A generative model capturing the environment dynamics is learned by a…

Neural and Evolutionary Computing · Computer Science 2023-06-23 Ali Safa , Tim Verbelen , Lars Keuninckx , Ilja Ocket , André Bourdoux , Francky Catthoor , Georges Gielen , Gert Cauwenberghs

Unsupervised learning in a generalized Hopfield associative-memory network is investigated in this work. First, we prove that the (generalized) Hopfield model is equivalent to a semi-restricted Boltzmann machine with a layer of visible…

Neural and Evolutionary Computing · Computer Science 2017-07-26 Huiling Zhen , Shang-Nan Wang , Hai-Jun Zhou

Among the performance-enhancing procedures for Hopfield-type networks that implement associative memory, Hebbian Unlearning (or dreaming) strikes for its simplicity and its clear biological interpretation. Yet, it does not easily lend…

Disordered Systems and Neural Networks · Physics 2023-08-28 Marco Benedetti , Louis Carillo , Enzo Marinari , Marc Mèzard

We introduce a three-dimensional vectorial extension of the Hopfield associative-memory model in which each neuron is a unit vector on $S^2$ and synaptic couplings are $3\times 3$ blocks generated through a vectorial Hebbian rule. The…

Disordered Systems and Neural Networks · Physics 2025-12-10 F. Gallavotti , A. Zaccone

Learning arguably involves the discovery and memorization of abstract rules. The aim of this paper is to study associative memory mechanisms. Our model is based on high-dimensional matrices consisting of outer products of embeddings, which…

Machine Learning · Statistics 2024-02-22 Vivien Cabannes , Elvis Dohmatob , Alberto Bietti

Learning in the brain is local and unsupervised (Hebbian). We derive the foundations of an effective human language model inspired by these microscopic constraints. It has two parts: (1) a hierarchy of neurons which learns to tokenize words…

Computation and Language · Computer Science 2025-03-05 P. Myles Eugenio

Intracortical brain-machine interfaces require decoders that adapt continuously to neural signal instability while operating within strict memory budgets. We introduce a dual-timescale Hebbian accumulator learning rule for spiking neural…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Sriram V. C. Nallani , Sahil Shah

Humans possess the capability to reason at an abstract level and to structure information into abstract categories, but the underlying neural processes have remained unknown. Experimental evidence has recently emerged for the organization…

Neurons and Cognition · Quantitative Biology 2022-04-05 Michael G. Müller , Christos H. Papadimitriou , Wolfgang Maass , Robert Legenstein

Modern data-driven machine learning system designs exploit inductive biases in architectural structure, invariance and equivariance requirements, task-specific loss functions, and computational optimization tools. Previous works have…

Neural and Evolutionary Computing · Computer Science 2025-03-04 Achref Jaziri , Sina Ditzel , Iuliia Pliushch , Visvanathan Ramesh

The gap between the huge volumes of data needed to train artificial neural networks and the relatively small amount of data needed by their biological counterparts is a central puzzle in machine learning. Here, inspired by biological…

Disordered Systems and Neural Networks · Physics 2022-04-19 Miriam Aquaro , Francesco Alemanno , Ido Kanter , Fabrizio Durante , Elena Agliari , Adriano Barra

Deep learning networks generally use non-biological learning methods. By contrast, networks based on more biologically plausible learning, such as Hebbian learning, show comparatively poor performance and difficulties of implementation.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Thomas Miconi

A normative approach called Similarity Matching was recently introduced for deriving and understanding the algorithmic basis of neural computation focused on unsupervised problems. It involves deriving algorithms from computational…

Neural and Evolutionary Computing · Computer Science 2023-10-02 Yanis Bahroun , Dmitri B. Chklovskii , Anirvan M. Sengupta

Recently a daily routine for associative neural networks has been proposed: the network Hebbian-learns during the awake state (thus behaving as a standard Hopfield model), then, during its sleep state, optimizing information storage, it…

Disordered Systems and Neural Networks · Physics 2020-01-29 Elena Agliari , Francesco Alemanno , Adriano Barra , Alberto Fachechi

We show that macro-molecular self-assembly can recognize and classify high-dimensional patterns in the concentrations of $N$ distinct molecular species. Similar to associative neural networks, the recognition here leverages dynamical…

Disordered Systems and Neural Networks · Physics 2017-04-26 Weishun Zhong , David J. Schwab , Arvind Murugan

An autoassociative memory model is a function that, given a set of data points, takes as input an arbitrary vector and outputs the most similar data point from the memorized set. However, popular memory models fail to retrieve images even…

Machine Learning · Computer Science 2024-02-19 Tommaso Salvatori , Beren Millidge , Yuhang Song , Rafal Bogacz , Thomas Lukasiewicz

In this work we introduce a multi-species generalization of the Hopfield model for associative memory, where neurons are divided into groups and both inter-groups and intra-groups pair-wise interactions are considered, with different…

Disordered Systems and Neural Networks · Physics 2018-07-11 Elena Agliari , Danila Migliozzi , Daniele Tantari

The state-of-the art machine learning approach to training deep neural networks, backpropagation, is implausible for real neural networks: neurons need to know their outgoing weights; training alternates between a bottom-up forward pass…

Machine Learning · Computer Science 2020-10-26 Roman Pogodin , Peter E. Latham

Cognitive maps provide a powerful framework for understanding spatial and abstract reasoning in biological and artificial agents. While recent computational models link cognitive maps to hippocampal-entorhinal mechanisms, they often rely on…

Neurons and Cognition · Quantitative Biology 2025-10-07 E. A. Dzhivelikian , A. I. Panov

Priming is the ability of the brain to more quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between the populations of the neurons coding for different stimuli.…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Pascal Chossat , Martin Krupa , Frédéric Lavigne

Neuromorphic computing with spiking neural networks is promising for energy-efficient artificial intelligence (AI) applications. However, different from humans who continually learn different tasks in a lifetime, neural network models…

Neural and Evolutionary Computing · Computer Science 2024-02-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Di He , Zhouchen Lin