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In neural circuits, synaptic strengths influence neuronal activity by shaping network dynamics, and neuronal activity influences synaptic strengths through activity-dependent plasticity. Motivated by this fact, we study a recurrent-network…

Neurons and Cognition · Quantitative Biology 2024-01-12 David G. Clark , L. F. Abbott

A feed-forward neural net with adaptable synaptic weights and fixed, zero or non-zero threshold potentials is studied, in the presence of a global feedback signal that can only have two values, depending on whether the output of the network…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Bedaux , W. A. van Leeuwen

Theoretical models of neuronal function consider different mechanisms through which networks learn, classify and discern inputs. A central focus of these models is to understand how associations are established amongst neurons, in order to…

Neurons and Cognition · Quantitative Biology 2015-05-19 Harold P. de Vladar , Eörs Szathmáry

It has been demonstrated that one of the most striking features of the nervous system, the so called 'plasticity' (i.e high adaptability at different structural levels) is primarily based on Hebbian learning which is a collection of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 G. Szirtes , Zs. Palotai , A. Lorincz

A fundamental aspect of learning in biological neural networks is the plasticity property which allows them to modify their configurations during their lifetime. Hebbian learning is a biologically plausible mechanism for modeling the…

Neural and Evolutionary Computing · Computer Science 2021-03-16 Anil Yaman , Giovanni Iacca , Decebal Constantin Mocanu , Matt Coler , George Fletcher , Mykola Pechenizkiy

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

Neurons and Cognition · Quantitative Biology 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

Hebbian learning is a key principle underlying learning in biological neural networks. We relate a Hebbian spike-timing-dependent plasticity rule to noisy gradient descent with respect to a non-convex loss function on the probability…

Machine Learning · Computer Science 2026-01-14 Niklas Dexheimer , Sascha Gaudlitz , Johannes Schmidt-Hieber

A recent breakthrough in biologically-plausible normative frameworks for dimensionality reduction is based upon the similarity matching cost function and the low-rank matrix approximation problem. Despite clear biological interpretation,…

Neurons and Cognition · Quantitative Biology 2025-06-09 Veronica Centorrino , Francesco Bullo , Giovanni Russo

The fundamental `plasticity' of the nervous system (i.e high adaptability at different structural levels) is primarily based on Hebbian learning mechanisms that modify the synaptic connections. The modifications rely on neural activity and…

Adaptation and Self-Organizing Systems · Physics 2008-06-24 Gabor Szirtes , Zsolt Palotai , Andras Lorincz

The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate populations of excitatory and inhibitory neurons. We furthermore…

Neurons and Cognition · Quantitative Biology 2007-06-19 Benoit Siri , Mathias Quoy , Bruno Delord , Bruno Cessac , Hugues Berry

Neural network models of early sensory processing typically reduce the dimensionality of streaming input data. Such networks learn the principal subspace, in the sense of principal component analysis (PCA), by adjusting synaptic weights…

Neurons and Cognition · Quantitative Biology 2015-05-18 Cengiz Pehlevan , Tao Hu , Dmitri B. Chklovskii

Hebbian and anti-Hebbian plasticity are widely observed in the biological brain, yet their theoretical understanding remains limited. In this work, we find that when a learning method is regularized with L2 weight decay, its learning signal…

Machine Learning · Computer Science 2025-12-02 David Koplow , Tomaso Poggio , Liu Ziyin

Generating functionals may guide the evolution of a dynamical system and constitute a possible route for handling the complexity of neural networks as relevant for computational intelligence. We propose and explore a new objective function,…

Neurons and Cognition · Quantitative Biology 2017-11-27 Rodrigo Echeveste , Claudius Gros

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

Disordered Systems and Neural Networks · Physics 2025-09-03 Chuanbo Liu , Jin Wang

While advances in artificial intelligence and neuroscience have enabled the emergence of neural networks capable of learning a wide variety of tasks, our understanding of the temporal dynamics of these networks remains limited. Here, we…

Neurons and Cognition · Quantitative Biology 2023-11-13 Shi Gu , Marcelo G Mattar , Huajin Tang , Gang Pan

Lifelong learning and adaptability are two defining aspects of biological agents. Modern reinforcement learning (RL) approaches have shown significant progress in solving complex tasks, however once training is concluded, the found…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Elias Najarro , Sebastian Risi

Modeling self-organization of neural networks for unsupervised learning using Hebbian and anti-Hebbian plasticity has a long history in neuroscience. Yet, derivations of single-layer networks with such local learning rules from principled…

Neurons and Cognition · Quantitative Biology 2017-12-22 Cengiz Pehlevan , Anirvan Sengupta , Dmitri B. Chklovskii

In this paper we introduce a neural network model of self-organization. This model uses a variation of Hebb rule for updating its synaptic weights, and surely converges to the equilibrium status. The key point of the convergence is the…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Carlos Domingo , Osamu Watanabe , Tadashi Yamazaki

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…

In realistic neural circuits, both neurons and synapses are coupled in dynamics with separate time scales. The circuit functions are intimately related to these coupled dynamics. However, it remains challenging to understand the intrinsic…

Neurons and Cognition · Quantitative Biology 2025-11-11 Wenkang Du , Haiping Huang
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