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Synaptic connections between neurons in the brain are dynamic because of continuously ongoing spine dynamics, axonal sprouting, and other processes. In fact, it was recently shown that the spontaneous synapse-autonomous component of spine…

Neurons and Cognition · Quantitative Biology 2018-01-08 David Kappel , Robert Legenstein , Stefan Habenschuss , Michael Hsieh , Wolfgang Maass

Attractor neural networks (ANNs) are one of the leading theoretical frameworks for the formation and retrieval of memories in networks of biological neurons. In this framework, a pattern imposed by external inputs to the network is said to…

Biological Physics · Physics 2022-05-25 Yu Feng , Nicolas Brunel

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

In this paper, we introduce Hebbian learning as a novel method for swarm robotics, enabling the automatic emergence of heterogeneity. Hebbian learning presents a biologically inspired form of neural adaptation that solely relies on local…

Neural and Evolutionary Computing · Computer Science 2025-07-17 Fuda van Diggelen , Tugay Alperen Karagüzel , Andres Garcia Rincon , A. E. Eiben , Dario Floreano , Eliseo Ferrante

Behavioral changes in animals and humans, as a consequence of an error or a verbal instruction, can be extremely rapid. Improvement in behavioral performances are usually associated in machine learning and reinforcement learning to synaptic…

Neurons and Cognition · Quantitative Biology 2025-03-12 Cristiano Capone , Luca Falorsi

Robotic policies deployed in real-world environments often encounter post-training faults, where retraining, exploration, or system identification are impractical. We introduce an inference-time, cerebellar-inspired residual control…

Machine Learning · Computer Science 2026-02-10 Nethmi Jayasinghe , Diana Gontero , Spencer T. Brown , Vinod K. Sangwan , Mark C. Hersam , Amit Ranjan Trivedi

In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and controlling the feedback loop on it. One of the main example of…

Disordered Systems and Neural Networks · Physics 2023-09-26 Samantha J. Fournier , Pierfrancesco Urbani

Adaptive behavior requires the brain to transition between distinct contexts while maintaining representations of prior experience. The ability to reconfigure neural representations without erasing previously acquired knowledge is central…

Neurons and Cognition · Quantitative Biology 2026-05-12 Qianqian Shi , Yue Che , Faqiang Liu , Hongyi Li , Mingkun Xu , Sandra Reinert , Pieter M. Goltstein , Rong Zhao , Luping Shi

Hebbian plasticity in winner-take-all (WTA) networks is highly attractive for neuromorphic on-chip learning, owing to its efficient, local, unsupervised, and on-line nature. Moreover, its biological plausibility may help overcome important…

Machine Learning · Computer Science 2023-08-03 Timoleon Moraitis , Dmitry Toichkin , Adrien Journé , Yansong Chua , Qinghai Guo

Dynamical networks are versatile models that can describe a variety of behaviours such as synchronisation and feedback. However, applying these models in real world contexts is difficult as prior information pertaining to the connectivity…

Dynamical Systems · Mathematics 2025-08-29 Eugene Tan , Débora Corrêa , Thomas Stemler , Michael Small

We introduce Error Forward-Propagation, a biologically plausible mechanism to propagate error feedback forward through the network. Architectural constraints on connectivity are virtually eliminated for error feedback in the brain;…

Neural and Evolutionary Computing · Computer Science 2018-08-13 Adam A. Kohan , Edward A. Rietman , Hava T. Siegelmann

Learning depends on changes in synaptic connections deep inside the brain. In multilayer networks, these changes are triggered by error signals fed back from the output, generally through a stepwise inversion of the feedforward processing…

Neurons and Cognition · Quantitative Biology 2021-01-05 William F. Podlaski , Christian K. Machens

Neuromorphic systems that employ advanced synaptic learning rules, such as the three-factor learning rule, require synaptic devices of increased complexity. Herein, a novel neoHebbian artificial synapse utilizing ReRAM devices has been…

A toy model of a neural network in which both Hebbian learning and reinforcement learning occur is studied. The problem of `path interference', which makes that the neural net quickly forgets previously learned input-output relations is…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. J. C. Bosman , W. A. van Leeuwen , B. Wemmenhove

In this paper we study robust synchronization of time-fractional Hopfield neural networks with memristive couplings and Hebbian learning rules. This new model of artificial neural networks exhibits strong memory and long-range…

Analysis of PDEs · Mathematics 2025-10-27 Yuncheng You

Adaptive coupling in networks of interacting neurons has gained recent attention due to the many applications both in biological and in artificial neural networks, where adaptive coupling or synaptic plasticity is considered as a key factor…

Pattern Formation and Solitons · Physics 2026-02-23 Astero Provata , George C. Boulougouris , Johanne Hizanidis

Neuronal circuits can learn and replay firing patterns evoked by sequences of sensory stimuli. After training, a brief cue can trigger a spatiotemporal pattern of neural activity similar to that evoked by a learned stimulus sequence.…

Neurons and Cognition · Quantitative Biology 2015-07-03 Alan Veliz-Cuba , Harel Shouval , Kresimir Josic , Zachary P. Kilpatrick

We introduce a novel data-driven approach aimed at designing high-quality shape deformations based on a coarse localized input signal. Unlike previous data-driven methods that require a global shape encoding, we observe that…

Graphics · Computer Science 2024-10-14 Ramana Sundararaman , Nicolas Donati , Simone Melzi , Etienne Corman , Maks Ovsjanikov

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

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