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We investigate the impact of Hebbian learning on the contact process, a paradigmatic model for infection spreading, which has been also proposed as a simple model to capture the dynamics of inter-regional brain activity propagation as well…

Statistical Mechanics · Physics 2025-09-22 Will T. Engedal , Róbert Juhász , István A. Kovács

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

How dynamic interactions between nervous system regions in mammals performs online motor control remains an unsolved problem. In this paper we show that feedback control is a simple, yet powerful way to understand the neural dynamics of…

Neurons and Cognition · Quantitative Biology 2022-10-24 Sergio Verduzco-Flores , Erik De Schutter

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

A typical way in which a machine acquires knowledge from humans is by programming. Compared to learning from demonstrations or experiences, programmatic learning allows the machine to acquire a novel skill as soon as the program is written,…

Artificial Intelligence · Computer Science 2023-10-19 Leonardo Hernandez Cano , Yewen Pu , Robert D. Hawkins , Josh Tenenbaum , Armando Solar-Lezama

Self-organization provides a framework for the study of systems in which complex patterns emerge from simple rules, without the guidance of external agents or fine tuning of parameters. Within this framework, one can formulate a guiding…

Neurons and Cognition · Quantitative Biology 2015-05-18 Rodrigo Echeveste , Claudius Gros

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

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…

Biological neural networks self-organize according to local synaptic modifications to produce stable computations. How modifications at the synaptic level give rise to such computations at the network level remains an open question.…

Neurons and Cognition · Quantitative Biology 2026-01-21 David Lipshutz , Robert J. Lipshutz

Unlike humans, who are capable of continual learning over their lifetimes, artificial neural networks have long been known to suffer from a phenomenon known as catastrophic forgetting, whereby new learning can lead to abrupt erasure of…

Artificial Intelligence · Computer Science 2018-06-20 Christos Kaplanis , Murray Shanahan , Claudia Clopath

Recent experimental studies indicate that synaptic changes induced by neuronal activity are discrete jumps between a small number of stable states. Learning in systems with discrete synapses is known to be a computationally hard problem.…

Neurons and Cognition · Quantitative Biology 2009-11-13 Carlo Baldassi , Alfredo Braunstein , Nicolas Brunel , Riccardo Zecchina

The "fire together, wire together" Hebbian model is a central principle for learning in neuroscience, but surprisingly, it has found limited applicability in modern machine learning. In this paper, we take a first step towards bridging this…

Machine Learning · Computer Science 2016-11-15 Aseem Wadhwa , Upamanyu Madhow

Despite their apparent diversity, modern machine learning methods can be reduced to a remarkably simple core principle: learning is achieved by continuously optimizing parameters to minimize or maximize a scalar objective function. This…

Machine Learning · Computer Science 2026-02-24 Sheng Ran

Sequential learning systems are used in a wide variety of problems from decision making to optimization, where they provide a 'belief' (opinion) to nature, and then update this belief based on the feedback (result) to minimize (or maximize)…

Machine Learning · Computer Science 2020-09-22 Kaan Gokcesu , Hakan Gokcesu

While deep learning has led to remarkable advances across diverse applications, it struggles in domains where the data distribution changes over the course of learning. In stark contrast, biological neural networks continually adapt to…

Machine Learning · Computer Science 2017-06-14 Friedemann Zenke , Ben Poole , Surya Ganguli

Hopfield networks are an attractive choice for solving many types of computational problems because they provide a biologically plausible mechanism. The Self-Optimization (SO) model adds to the Hopfield network by using a biologically…

Adaptation and Self-Organizing Systems · Physics 2024-03-06 Natalya Weber , Werner Koch , Ozan Erdem , Tom Froese

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

When biological communities use signaling structures for complex coordination, 'free-riders' emerge. The free-riding agents do not contribute to the community resources (signals), but exploit them. Most models of such 'selfish' behavior…

Populations and Evolution · Quantitative Biology 2023-03-29 Aamir Sahil Chandroth , Nithya Ramakrishnan , Sanjay Chandrasekharan

Recent studies have shown that synaptic unreliability is a robust and sufficient mechanism for inducing the stochasticity observed in cortex. Here, we introduce Synaptic Sampling Machines, a class of neural network models that uses synaptic…

Neural and Evolutionary Computing · Computer Science 2016-12-16 Emre O. Neftci , Bruno U. Pedroni , Siddharth Joshi , Maruan Al-Shedivat , Gert Cauwenberghs

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