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The Hopfield model provides a paradigmatic framework for associative memory. Its classical implementation, based on the Hebbian learning rule, suffers from catastrophic forgetting: when one attempts storing too many patterns, the network…

Disordered Systems and Neural Networks · Physics 2026-03-11 Enzo Marinari , Saverio Rossi , Francesco Zamponi

In spite of remarkable progress in machine learning techniques, the state-of-the-art machine learning algorithms often keep machines from real-time learning (online learning) due in part to computational complexity in parameter…

Neural and Evolutionary Computing · Computer Science 2017-11-27 Guhyun Kim , Vladimir Kornijcuk , Dohun Kim , Inho Kim , Jaewook Kim , Hyo Cheon Woo , Ji Hun Kim , Cheol Seong Hwang , Doo Seok Jeong

We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

In this paper we explore a neural control architecture that is both biologically plausible, and capable of fully autonomous learning. It consists of feedback controllers that learn to achieve a desired state by selecting the errors that…

Neurons and Cognition · Quantitative Biology 2022-03-23 Sergio Verduzco-Flores , William Dorrell , Erik DeSchutter

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

How can we build agents that keep learning from experience, quickly and efficiently, after their initial training? Here we take inspiration from the main mechanism of learning in biological brains: synaptic plasticity, carefully tuned by…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Thomas Miconi , Jeff Clune , Kenneth O. Stanley

The learning dynamics of on-line independent component analysis is analysed in the limit of large data dimension. We study a simple Hebbian learning algorithm that can be used to separate out a small number of non-Gaussian components from a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gleb Basalyga , Magnus Rattray

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

Artificial neural networks can be used to solve a variety of robotic tasks. However, they risk failing catastrophically when faced with out-of-distribution (OOD) situations. Several approaches have employed a type of synaptic plasticity…

How neuronal circuits achieve credit assignment remains a central unsolved question in systems neuroscience. Various studies have suggested plausible solutions for back-propagating error signals through multi-layer networks. These purely…

Neurons and Cognition · Quantitative Biology 2023-12-12 Julian Rossbroich , Friedemann Zenke

Recent work has shown that biologically plausible Hebbian learning can be integrated with backpropagation learning (backprop), when training deep convolutional neural networks. In particular, it has been shown that Hebbian learning can be…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Gabriele Lagani , Giuseppe Amato , Fabrizio Falchi , Claudio Gennaro

Despite its great success, backpropagation has certain limitations that necessitate the investigation of new learning methods. In this study, we present a biologically plausible local learning rule that improves upon Hebb's well-known…

Neural and Evolutionary Computing · Computer Science 2022-12-27 Hongchao Zhou

We introduce the Dreaming $L$-directional Associative Memory (DLAM), a multi-layer Hebbian architecture in which off-line dreaming and supervised heteroassociative coupling coexist within a single energy function, placing our approach…

Disordered Systems and Neural Networks · Physics 2026-05-14 Adriano Barra , Fabrizio Durante , Andrea Ladiana , Michela Marra Solazzo

Network systems can exhibit memory effects in which the interactions between different pairs of nodes adapt in time, leading to the emergence of preferred connections, patterns, and sub-networks. To a first approximation, this memory can be…

Disordered Systems and Neural Networks · Physics 2024-11-12 Gianmarco Zanardi , Paolo Bettotti , Jules Morand , Lorenzo Pavesi , Luca Tubiana

This paper introduces a learning framework for Three-Directional Associative Memory (TAM) models, extending the classical Hebbian paradigm to both supervised and unsupervised protocols within an hetero-associative setting. These neural…

Disordered Systems and Neural Networks · Physics 2025-11-25 Andrea Alessandrelli , Adriano Barra , Andrea Ladiana , Andrea Lepre , Federico Ricci-Tersenghi

Recent works have highlighted the need for a new dynamical paradigm in the modeling of brain function and evolution. Specifically, these models should incorporate non-constant and asymmetric synaptic weights $T_{ij}$ in the neuron-neuron…

Neurons and Cognition · Quantitative Biology 2025-11-03 Franco Cardin , Alberto Lovison , Amos Maritan , Aram Megighian

Conversion of temporal to spatial correlations in the cortex is one of the most intriguing functions in the brain. The learning at synapses triggering the correlation conversion can take place in a wide integration window, whose influence…

Disordered Systems and Neural Networks · Physics 2021-12-21 Zijian Jiang , Jianwen Zhou , Tianqi Hou , K. Y. Michael Wong , Haiping Huang

Humans can learn several tasks in succession with minimal mutual interference but perform more poorly when trained on multiple tasks at once. The opposite is true for standard deep neural networks. Here, we propose novel computational…

Neurons and Cognition · Quantitative Biology 2022-09-07 Timo Flesch , David G. Nagy , Andrew Saxe , Christopher Summerfield

A gauge model of neural network is introduced, which resembles the Z(2) Higgs lattice gauge theory of high-energy physics. It contains a neuron variable $S_x = \pm 1$ on each site $x$ of a 3D lattice and a synaptic-connection variable…

Disordered Systems and Neural Networks · Physics 2009-11-07 Motohiro Kemuriyama , Tetsuo Matsui , Kazuhiko Sakakibara

In the fields of computation and neuroscience, much is still unknown about the underlying computations that enable key cognitive functions including learning, memory, abstraction and behavior. This paper proposes a mathematical and…

Artificial Intelligence · Computer Science 2025-01-14 Jeet Singh