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$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

We discuss an aspect of neural networks for the purpose of phase transition detection. To this end, we first train the neural network by feeding Ising/Potts configurations with labels of temperature so that it can predict the temperature of…

Disordered Systems and Neural Networks · Physics 2019-08-23 Kouji Kashiwa , Yuta Kikuchi , Akio Tomiya

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

The dynamics and the stationary states for the competition between pattern reconstruction and asymmetric sequence processing are studied here in an exactly solvable feed-forward layered neural network model of binary units and patterns near…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. L. Metz , W. K. Theumann

Spiking Neural Networks (SNNs) are dynamical systems that operate on spatiotemporal data, yet their learnable parameters are often limited to synaptic weights, contributing little to temporal pattern recognition. Learnable parameters that…

Neural and Evolutionary Computing · Computer Science 2026-02-13 Luke Vassallo , Nima Taherinejad

In this paper, a kind of neural network with time-varying delays is proposed to solve the problems of quadratic programming. The delay term of the neural network changes with time t. The number of neurons in the neural network is n + h, so…

Optimization and Control · Mathematics 2021-07-15 Ling Zhang , Xiaoqi Sun

Federated learning is a machine learning paradigm that leverages edge computing on client devices to optimize models while maintaining user privacy by ensuring that local data remains on the device. However, since all data is collected by…

Machine Learning · Computer Science 2025-06-11 Jingqiao Tang , Ryan Bausback , Feng Bao , Richard Archibald

Stable diffusion models have ushered in a new era of advancements in image generation, currently reigning as the state-of-the-art approach, exhibiting unparalleled performance. The process of diffusion, accompanied by denoising through…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Andras Horvath

Spiking neural networks have gained significant attention due to their brain-like information processing capabilities. The use of surrogate gradients has made it possible to train spiking neural networks with backpropagation, leading to…

Neural and Evolutionary Computing · Computer Science 2023-05-24 Dongcheng Zhao , Guobin Shen , Yiting Dong , Yang Li , Yi Zeng

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

We introduce a spherical Hopfield-type neural network involving neurons and patterns that are continuous variables. We study both the thermodynamics and dynamics of this model. In order to have a retrieval phase a quartic term is added to…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Bolle , Th. M. Nieuwenhuizen , I. Perez Castillo , T. Verbeiren

Both quantum phase transitions and thermodynamic phase transitions are probably induced by fluctuations, yet the specific mechanism through which fluctuations cause phase transitions remains unclear in existing theories. This paper…

Statistical Mechanics · Physics 2025-05-13 Yonglong Ding

This paper presents a three layer spiking neural network based region proposal network operating on data generated by neuromorphic vision sensors. The proposed architecture consists of refractory, convolution and clustering layers designed…

Neural and Evolutionary Computing · Computer Science 2019-02-27 Jyotibdha Acharya , Vandana Padala , Arindam Basu

The cooperative behaviour of interacting neurons and synapses is studied using models and methods from statistical physics. The competition between training error and entropy may lead to discontinuous properties of the neural network. This…

Disordered Systems and Neural Networks · Physics 2017-02-08 Wolfgang Kinzel

Spiking neural networks (SNNs) are biologically inspired, event-driven models suited for temporal data processing and energy-efficient neuromorphic computing. In SNNs, richer neuronal dynamic allows capturing more complex temporal…

Machine Learning · Computer Science 2026-03-27 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Spiking neural networks (SNNs) are promising for edge sensing due to their event-driven computation and temporal filtering capability. However, standard leaky integrate-and-fire (LIF) neurons communicate only through binary spikes, which…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Kaiwen Tang , Di Yu , Jiaqi Zheng , Changze Lv , Qianhui Liu , Zhanglu Yan , Weng-Fai Wong

Decentralized learning and optimization is a central problem in control that encompasses several existing and emerging applications, such as federated learning. While there exists a vast literature on this topic and most methods centered…

Machine Learning · Computer Science 2023-03-21 Vishnu Pandi Chellapandi , Antesh Upadhyay , Abolfazl Hashemi , Stanislaw H /. Zak

We investigate a phase transition from linear to nonlinear information processing in echo state networks, a widely used framework in reservoir computing. The network consists of randomly connected recurrent nodes perturbed by a noise and…

Disordered Systems and Neural Networks · Physics 2025-11-25 Masaya Matsumura , Taiki Haga

The choice of activation function plays a critical role in neural networks, yet most architectures still rely on fixed, uniform activation functions across all neurons. We introduce SmartMixed, a two-phase training strategy that allows…

Machine Learning · Computer Science 2025-11-03 Amin Omidvar

Recent experimental studies indicate that synaptic changes induced by neuronal activity are discrete jumps between a small number of stable states. Learning in systems with discrete synapses is known to be a computationally hard problem.…

Neurons and Cognition · Quantitative Biology 2009-11-13 Carlo Baldassi , Alfredo Braunstein , Nicolas Brunel , Riccardo Zecchina