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We explore a one-to-one correspondence between a neural network (NN) and a statistical mechanical spin model where neurons are mapped to Ising spins and weights to spin-spin couplings. The process of training an NN produces a family of spin…

Disordered Systems and Neural Networks · Physics 2024-08-14 Richard Barney , Michael Winer , Victor Galitski

Animals rely on different decision strategies when faced with ambiguous or uncertain cues. Depending on the context, decisions may be biased towards events that were most frequently experienced in the past, or be more explorative. A…

Neurons and Cognition · Quantitative Biology 2023-05-10 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

We propose hardware-oriented models of intrinsic plasticity (IP) and synaptic plasticity (SP) for spiking randomly connected recursive neural network (RNN). Although the potential of RNNs for temporal data processing has been demonstrated,…

Neural and Evolutionary Computing · Computer Science 2024-04-29 Kumiko Nomura , Yoshifumi Nishi

We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the recurrent network of binary neurons may change the state of…

Probability · Mathematics 2020-06-11 Pascal Helson

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

Multi-timestep simulation of brain-inspired Spiking Neural Networks (SNNs) boost memory requirements during training and increase inference energy cost. Current training methods cannot simultaneously solve both training and inference…

Neural and Evolutionary Computing · Computer Science 2024-05-28 JiaKui Hu , Man Yao , Xuerui Qiu , Yuhong Chou , Yuxuan Cai , Ning Qiao , Yonghong Tian , Bo XU , Guoqi Li

Spiking Neural Networks (SNNs), models inspired by neural mechanisms in the brain, allow for energy-efficient implementation on neuromorphic hardware. However, SNNs trained with current direct training approaches are constrained to a…

Machine Learning · Computer Science 2025-03-25 Kangrui Du , Yuhang Wu , Shikuang Deng , Shi Gu

The brain can learn to execute a wide variety of tasks quickly and efficiently. Nevertheless, most of the mechanisms that enable us to learn are unclear or incredibly complicated. Recently, considerable efforts have been made in…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Mohammad Modiri

Learning in neural systems occurs through change in synaptic connectivity that is driven by neural activity. Learning performance is influenced by both neural activity and the task to be learned. Experimental studies suggest a link between…

Disordered Systems and Neural Networks · Physics 2024-09-23 Tomoki Kurikawa , Kunihiko Kaneko

A major obstacle to understanding neural coding and computation is the fact that experimental recordings typically sample only a small fraction of the neurons in a circuit. Measured neural properties are skewed by interactions between…

Neurons and Cognition · Quantitative Biology 2025-04-01 Braden A. W. Brinkman , Fred Rieke , Eric Shea-Brown , Michael A. Buice

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

Neurons and Cognition · Quantitative Biology 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

This study explores how the selection of neuron models and learning rules impacts the classification performance of Spiking Neural Networks (SNNs), with a focus on applications in bio-signal processing. We compare biologically inspired…

Neurons and Cognition · Quantitative Biology 2025-09-10 Zofia Rudnicka , Janusz Szczepanski , Agnieszka Pregowska

Neuronal oscillations are closely related to the symptoms of Parkinson's disease (PD). In this study, we explore how random fluctuations (or "stochastic inputs") affect these oscillations in brain states, which reflect the collective…

Neurons and Cognition · Quantitative Biology 2025-02-24 Thoa Thieu , Roderick Melnik

The energy-efficient and brain-like information processing abilities of Spiking Neural Networks (SNNs) have attracted considerable attention, establishing them as a crucial element of brain-inspired computing. One prevalent challenge…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Zhigang Wang , Lu Cao , Jianfeng Feng

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

Neurons and Cognition · Quantitative Biology 2022-05-31 Ran Rubin , Haim Sompolinsky

We propose a particularly structured Boltzmann machine, which we refer to as a dynamic Boltzmann machine (DyBM), as a stochastic model of a multi-dimensional time-series. The DyBM can have infinitely many layers of units but allows exact…

Neural and Evolutionary Computing · Computer Science 2015-09-30 Takayuki Osogami , Makoto Otsuka

Variability in neural responses is an ubiquitous phenomenon in neurons, usually modeled with stochastic differential equations. In particular, stochastic integrate-and-fire models are widely used to simplify theoretical studies. The…

Neurons and Cognition · Quantitative Biology 2009-06-12 Eugenio Urdapilleta , Ines Samengo

Due to the point-like nature of neuronal spiking, efficient neural network simulators often employ event-based simulation schemes for synapses. Yet many types of synaptic plasticity rely on the membrane potential of the postsynaptic cell as…

Neurons and Cognition · Quantitative Biology 2022-04-05 Jonas Stapmanns , Jan Hahne , Moritz Helias , Matthias Bolten , Markus Diesmann , David Dahmen

The lateral diffusion and trapping of neurotransmitter receptors within the postsynaptic membrane of a neuron plays a key role in determining synaptic strength and plasticity. Trapping is mediated by the reversible binding of receptors to…

Quantitative Methods · Quantitative Biology 2022-03-25 Ryan D. Schumm , Paul C. Bressloff

The ability of a brain or a neural network to efficiently learn depends crucially on both the task structure and the learning rule. Previous works have analyzed the dynamical equations describing learning in the relatively simplified…

Machine Learning · Computer Science 2025-02-26 Christian Schmid , James M. Murray
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