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The development of sensory receptive fields has been modeled in the past by a variety of models including normative models such as sparse coding or independent component analysis and bottom-up models such as spike-timing dependent…

Neurons and Cognition · Quantitative Biology 2017-02-08 Carlos S. N. Brito , Wulfram Gerstner

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

Populations and Evolution · Quantitative Biology 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

With synchronization being one of nature's most ubiquitous collective behaviors, the field of network synchronization has experienced tremendous growth, leading to significant theoretical developments. However, most of these previous…

Adaptation and Self-Organizing Systems · Physics 2023-04-05 Sayantan Nag Chowdhury , Sarbendu Rakshit , Chittaranjan Hens , Dibakar Ghosh

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

We have recently shown that the statistical properties of goal directed reaching in human subjects depends on recent experience in a way that is consistent with the presence of adaptive Bayesian priors (Verstynen and Sabes, 2011). We also…

Disordered Systems and Neural Networks · Physics 2011-06-16 Timothy Verstynen , Philip N. Sabes

A linear neural network is proposed for mamalian vision system in which backward connections from the primary visual cortex (V1) to the lateral geniculate nucleus play a key role. The backward connections control the flow of information…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ted Hesselroth , Klaus Schulten

The co-evolution of structure and dynamics, known as adaptivity, is a fundamental property in various systems and drives diverse emergent behaviors. However, the adaptivity in previous works is primarily stemmed from pairwise situations,…

Physics and Society · Physics 2025-08-22 Longzhao Liu , Hongwei Zheng , Zhihao Han , Xin Wang , Shaoting Tang

Many mathematical models of synaptic plasticity have been proposed to explain the diversity of plasticity phenomena observed in biological organisms. These models range from simple interpretations of Hebb's postulate, which suggests that…

Neurons and Cognition · Quantitative Biology 2025-08-05 Danil Tyulmankov

In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet…

Disordered Systems and Neural Networks · Physics 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

Evolution in time-varying environments naturally leads to adaptable biological systems that can easily switch functionalities. Advances in the synthesis of environmentally-responsive materials therefore open up the possibility of creating a…

A connection between the theory of neural networks and cryptography is presented. A new phenomenon, namely synchronization of neural networks is leading to a new method of exchange of secret messages. Numerical simulations show that two…

Statistical Mechanics · Physics 2009-11-07 I. Kanter , W. Kinzel , E. Kanter

Networks of fast-spiking interneurons are crucial for the generation of neural oscillations in the brain. Here we study the synchronous behavior of interneuronal networks that are coupled by delayed inhibitory and fast electrical synapses.…

Neurons and Cognition · Quantitative Biology 2012-06-22 Daqing Guo , Qingyun Wang , Matjaz Perc

In this paper, we derive a new model of synaptic plasticity, based on recent algorithms for reinforcement learning (in which an agent attempts to learn appropriate actions to maximize its long-term average reward). We show that these direct…

Machine Learning · Computer Science 2019-11-19 Peter L. Bartlett , Jonathan Baxter

We introduce a framework to intertwine dynamical processes of different nature, each with its own distinct network topology, using a multilayer network approach. As an example of collective phenomena emerging from the interactions of…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Vincenzo Nicosia , Per Sebastian Skardal , Alex Arenas , Vito Latora

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

We present a novel stochastic Hebb-like learning rule for neural networks. This learning rule is stochastic with respect to the selection of the time points when a synaptic modification is induced by pre- and postsynaptic activation.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Frank Emmert-Streib

This paper proposes an adaptation mechanism for heterogeneous multi-agent systems to align the agents' internal parameters, based on enforced consensus through strong couplings. Unlike homogeneous systems, where exact consensus is…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hyungbo Shim , Jin Gyu Lee , B. D. O. Anderson

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

We study synchronization of $N$ oscillators indirectly coupled through a medium which is inhomogeneous and has its own dynamics. The system is formalized in terms of a multilayer network, where the top layer is made of disconnected…

Chaotic Dynamics · Physics 2015-04-24 Lucia Valentina Gambuzza , Mattia Frasca , Jesus Gomez-Gardeñes

We study the transition between layer-localized and delocalized regimes in a general contact-based contagion model on multiplex networks. Using the inverse participation ratio, we characterize how activity shifts from being confined to a…

Physics and Society · Physics 2025-10-21 Joan Hernàndez Tey , Emanuele Cozzo
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