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Related papers: Learning with a network of competing synapses

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We consider neural networks from the point of view of dynamical systems theory. In this spirit we review recent results dealing with the following questions, adressed in the context of specific models. 1. Characterizing the collective…

Adaptation and Self-Organizing Systems · Physics 2010-11-09 B. Cessac

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

Complex coherent dynamics is present in a wide variety of neural systems. A typical example is the voltage transitions between up and down states observed in cortical areas in the brain. In this work, we study this phenomenon via a…

Neurons and Cognition · Quantitative Biology 2015-05-19 Jorge F. Mejias , Hilbert J. Kappen , Joaquin J. Torres

The construction of a network of cell-to-cell contacts makes it possible to characterize the patterns and spatial organisation of tissues. Such networks are highly dynamic, depending on the changes of the tissue architecture caused by cell…

Tissues and Organs · Quantitative Biology 2013-06-25 Attila Csikász-Nagy , Luis M. Escudero , Martial Guillaud , Sean Sedwards , Buzz Baum , Matteo Cavaliere

We present a general theoretical model for the spatio-temporal dynamics of animal contests. Inspired by interactions between physical particles, the model is formulated in terms of effective interaction potentials, which map typical…

Biological Physics · Physics 2022-12-01 Amir Haluts , Alex Jordan , Nir S. Gov

Contextual memory integration remains a high challenge in the development of language models, particularly in tasks that require maintaining coherence over extended sequences. Traditional approaches, such as self-attention mechanisms and…

Computation and Language · Computer Science 2025-08-11 George Applegarth , Christian Weatherstone , Maximilian Hollingsworth , Henry Middlebrook , Marcus Irvin

A computational model incorporating insights from quantum theory is proposed to describe and explain synaptic message transmission. We propose that together, neurotransmitters and their corresponding receptors, function as a physical…

Neurons and Cognition · Quantitative Biology 2023-10-03 Lizhi Xin , Kevin Xin , Houwen Xin

Adaptation of behavior requires the brain to change goals in a changing environment. Synaptic learning has demonstrated its effectiveness in changing the probability of selecting actions based on their outcome. In the extreme case, it is…

Neurons and Cognition · Quantitative Biology 2025-01-07 Elif Köksal-Ersöz , Pascal Chossat , Frédéric Lavigne

We discuss the effects of common synaptic inputs in a recurrent neural network. Because of the effects of these common synaptic inputs, the correlation between neural inputs cannot be ignored, and thus the network exhibits sample…

Disordered Systems and Neural Networks · Physics 2009-09-29 Masaki Kawamura , Michiko Yamana , Masato Okada

Understanding the basic operational logics of the nervous system is essential to advancing neuroscientific research. However, theoretical efforts to tackle this fundamental problem are lacking, despite the abundant empirical data about the…

Neurons and Cognition · Quantitative Biology 2021-09-07 Cheng Qian

We introduce a new biologically-motivated model of sequential spatial memory which is based on the principle of winnerless competition (WLC). We implement this mechanism in a two-layer neural network structure and present the learning…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Philip Seliger , Lev S. Tsimring , Mikhail I. Rabinovich

In timing-based neural codes, neurons have to emit action potentials at precise moments in time. We use a supervised learning paradigm to derive a synaptic update rule that optimizes via gradient ascent the likelihood of postsynaptic firing…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jean-Pascal Pfister , Taro Toyoizumi , David Barber , Wulfram Gerstner

Synaptic plasticity seems to be a capital aspect of the dynamics of neural networks. It is about the physiological modifications of the synapse, which have like consequence a variation of the value of the synaptic weight. The information…

Computer Vision and Pattern Recognition · Computer Science 2012-09-25 Tarek Behi , Najet Arous , Noureddine Ellouze

To learn useful dynamics on long time scales, neurons must use plasticity rules that account for long-term, circuit-wide effects of synaptic changes. In other words, neural circuits must solve a credit assignment problem to appropriately…

Neurons and Cognition · Quantitative Biology 2019-05-30 Owen Marschall , Kyunghyun Cho , Cristina Savin

Human dynamical social networks encode information and are highly adaptive. To characterize the information encoded in the fast dynamics of social interactions, here we introduce the entropy of dynamical social networks. By analysing a…

Physics and Society · Physics 2012-01-17 Kun Zhao , Márton Karsai , Ginestra Bianconi

Conventional Artificial Intelligence (AI) systems are running into limitations in terms of training time and energy. Following the principles of the human brain, spiking neural networks trained with unsupervised learning offer a faster,…

Superconductivity · Physics 2025-04-04 Ken Segall , Leon Nichols , Will Friend , Steven B. Kaplan

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

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Competitive neural networks are often used to model the dynamics of perceptual bistability. Switching between percepts can occur through fluctuations and/or a slow adaptive process. Here, we analyze switching statistics in competitive…

Neurons and Cognition · Quantitative Biology 2012-12-05 Zachary P Kilpatrick

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield