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A theory of temporally asymmetric Hebb (TAH) rules which depress or potentiate synapses depending upon whether the postsynaptic cell fires before or after the presynaptic one is presented. Using the Fokker-Planck formalism, we show that the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jonathan Rubin , Daniel D. Lee , H. Sompolinsky

Many networks in the brain are sparsely connected, and the brain eliminates synapses during development and learning. How could the brain decide which synapses to prune? In a recurrent network, determining the importance of a synapse…

Neurons and Cognition · Quantitative Biology 2021-07-20 Eli Moore , Rishidev Chaudhuri

Chaos is ubiquitous in high-dimensional neural dynamics. A strong chaotic fluctuation may be harmful to information processing. A traditional way to mitigate this issue is to introduce Hebbian plasticity, which can stabilize the dynamics.…

Neurons and Cognition · Quantitative Biology 2025-11-03 Weizhong Huang , Haiping Huang

We propose that a regulation mechanism based on Hebbian covariance plasticity may cause the brain to operate near criticality. We analyze the effect of such a regulation on the dynamics of a network with excitatory and inhibitory neurons…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Elie Bienenstock , Daniel Lehmann

Continuous adaptation allows survival in an ever-changing world. Adjustments in the synaptic coupling strength between neurons are essential for this capability, setting us apart from simpler, hard-wired organisms. How these changes can be…

Neurons and Cognition · Quantitative Biology 2021-01-06 Jakob Jordan , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici

Recently emerged technologies based on Deep Learning (DL) achieved outstanding results on a variety of tasks in the field of Artificial Intelligence (AI). However, these encounter several challenges related to robustness to adversarial…

Neural and Evolutionary Computing · Computer Science 2023-08-01 Gabriele Lagani , Fabrizio Falchi , Claudio Gennaro , Giuseppe Amato

We investigate from a computational perspective the efficiency of the Willshaw synaptic update rule in the context of familiarity discrimination, a binary-answer, memory-related task that has been linked through psychophysical experiments…

Neurons and Cognition · Quantitative Biology 2012-08-01 João Sacramento , Andreas Wichert

We study the capacity of Hodgkin-Huxley neuron in a network to change temporarily or permanently their connections and behavior, the so called spike timing-dependent plasticity (STDP), as a function of their synchronous behavior. We…

When an object moves smoothly across a field of view, the identify of the object is unchanged, but the activation pattern of the photoreceptors on the retina changes drastically. One of the major computational roles of our visual system is…

Neurons and Cognition · Quantitative Biology 2014-04-23 Minjoon Kouh

This paper suggests a learning-theoretic perspective on how synaptic plasticity benefits global brain functioning. We introduce a model, the selectron, that (i) arises as the fast time constant limit of leaky integrate-and-fire neurons…

Neurons and Cognition · Quantitative Biology 2012-09-26 David Balduzzi , Michel Besserve

The potential of memristive devices is often seeing in implementing neuromorphic architectures for achieving brain-like computation. However, the designing procedures do not allow for extended manipulation of the material, unlike CMOS…

Emerging Technologies · Computer Science 2016-04-25 Shari Lim Wei , Eleni Vasilaki , Ali Khiat , Iulia Salaoru , Radu Berdan , Themistoklis Prodromakis

Inspired by the natural nervous system, synaptic plasticity rules are applied to train spiking neural networks with local information, making them suitable for online learning on neuromorphic hardware. However, when such rules are…

Neural and Evolutionary Computing · Computer Science 2022-02-28 J. Lu , J. J. Hagenaars , G. C. H. E. de Croon

Shibata et al. reported that humans could learn to repeatedly evoke a stimulus-associated functional magnetic resonance imaging (fMRI) activity pattern in visual areas V1/V2 through which visual perceptual learning was achieved without…

Neurons and Cognition · Quantitative Biology 2016-12-13 Tsung-Ren Huang

We propose a design principle for the learning circuits of the biological brain. The principle states that almost any dendritic weights updated via heterosynaptic plasticity can implement a generalized and efficient class of gradient-based…

Neurons and Cognition · Quantitative Biology 2025-05-06 Liu Ziyin , Isaac Chuang , Tomaso Poggio

Hebbian learning theory is rooted in Pavlov's Classical Conditioning. While mathematical models of the former have been proposed and studied in the past decades, especially in spin glass theory, only recently it has been numerically shown…

Disordered Systems and Neural Networks · Physics 2024-10-11 Daniele Lotito , Miriam Aquaro , Chiara Marullo

Synapses change on multiple timescales, ranging from milliseconds to minutes, due to a combination of both short- and long-term plasticity. Here we develop an extension of the common Generalized Linear Model to infer both short- and…

Neurons and Cognition · Quantitative Biology 2022-08-15 Ganchao Wei , Ian H. Stevenson

Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour…

Neurons and Cognition · Quantitative Biology 2007-05-23 Reimer Kuehn , Ion-Olimpiu Stamatescu

Large networks of spiking neurons show abrupt changes in their collective dynamics resembling phase transitions studied in statistical physics. An example of this phenomenon is the transition from irregular, noise-driven dynamics to…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vicenç Gómez , Andreas Kaltenbrunner , Vicente López , Hilbert J. Kappen

This paper is concerned with the modeling and analysis of two of the most commonly used recurrent neural network models (i.e., Hopfield neural network and firing-rate neural network) with dynamic recurrent connections undergoing Hebbian…

Optimization and Control · Mathematics 2024-03-25 Veronica Centorrino , Francesco Bullo , Giovanni Russo

Network systems can exhibit memory effects in which the interactions between different pairs of nodes adapt in time, leading to the emergence of preferred connections, patterns, and sub-networks. To a first approximation, this memory can be…

Disordered Systems and Neural Networks · Physics 2024-11-12 Gianmarco Zanardi , Paolo Bettotti , Jules Morand , Lorenzo Pavesi , Luca Tubiana
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