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Neural circuits exhibit remarkable computational flexibility, enabling adaptive responses to noisy and ever-changing environmental cues. A fundamental question in neuroscience concerns how a wide range of behaviors can emerge from a…

Statistical Mechanics · Physics 2025-09-18 Giacomo Barzon , Daniel M. Busiello , Giorgio Nicoletti

Spike-timing dependent plasticity (STDP) which observed in the brain has proven to be important in biological learning. On the other hand, artificial neural networks use a different way to learn, such as Back-Propagation or Contrastive…

Neural and Evolutionary Computing · Computer Science 2021-06-10 Shiyuan Li

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

The plasticity property of biological neural networks allows them to perform learning and optimize their behavior by changing their configuration. Inspired by biology, plasticity can be modeled in artificial neural networks by using Hebbian…

Neural and Evolutionary Computing · Computer Science 2020-12-21 Anil Yaman , Giovanni Iacca , Decebal Constantin Mocanu , George Fletcher , Mykola Pechenizkiy

Spiking neural networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Machine Learning · Computer Science 2020-01-08 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

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

The synaptic connectivity of cortex is plastic, with experience shaping the ongoing interactions between neurons. Theoretical studies of spike timing-dependent plasticity (STDP) have focused on either just pairs of neurons or large-scale…

Neurons and Cognition · Quantitative Biology 2016-08-02 Gabriel Koch Ocker , Brent Doiron

Neural networks promote a distributed representation with no clear place for symbols. Despite this, we propose that symbols are manufactured simply by training a sparse random noise as a self-sustaining attractor in a feedback spiking…

Neural and Evolutionary Computing · Computer Science 2022-05-27 Robert Lizée

We present a mathematical analysis of the effects of Hebbian learning in random recurrent neural networks, with a generic Hebbian learning rule including passive forgetting and different time scales for neuronal activity and learning…

Chaotic Dynamics · Physics 2008-04-07 Benoit Siri , Hugues Berry , Bruno Cessac , Bruno Delord , Mathias Quoy

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

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Biological neurons receive multiple noisy oscillatory signals, and their dynamical response to the superposition of these signals is of fundamental importance for information processing in the brain. Here we study the response of neural…

Neurons and Cognition · Quantitative Biology 2017-08-28 Daqing Guo , Matjaz Perc , Yangsong Zhang , Peng Xu , Dezhong Yao

In many normative theories of synaptic plasticity, weight updates implicitly depend on the chosen parametrization of the weights. This problem relates, for example, to neuronal morphology: synapses which are functionally equivalent in terms…

Neurons and Cognition · Quantitative Biology 2022-02-25 Elena Kreutzer , Walter M. Senn , Mihai A. Petrovici

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

Repeating spatiotemporal spike patterns exist and carry information. Here we investigated how a single spiking neuron can optimally respond to one given pattern (localist coding), or to either one of several patterns (distributed coding,…

Neural and Evolutionary Computing · Computer Science 2018-09-24 Timothée Masquelier , Saeed Reza Kheradpisheh

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

Neuronal dynamics is driven by externally imposed or internally generated random excitations/noise, and is often described by systems of random or stochastic ordinary differential equations. Such systems admit a distribution of solutions,…

Neurons and Cognition · Quantitative Biology 2023-12-19 Tyler E. Maltba , Hongli Zhao , Daniel M. Tartakovsky

Spiking neural networks (SNNs) are biologically inspired energy-efficient models that use sparse binary spike-based communication between neurons, making them attractive for resource-constrained edge devices. Federated learning enables such…

Machine Learning · Computer Science 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Our brain consists of biological neurons encoding information through accurate spike timing, yet both the architecture and learning rules of our brain remain largely unknown. Comparing to the recent development of backpropagation-based…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Yukun Yang , Peng Li