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Spiking neural networks (SNNs) process time-series data via internal event-driven neural dynamics. The energy consumption of an SNN depends on the number of spikes exchanged between neurons over the course of the input presentation.…

Neural and Evolutionary Computing · Computer Science 2024-07-02 Jiechen Chen , Sangwoo Park , Osvaldo Simeone

Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical artificial neural networks. Yet, their theoretical foundations remain only partially understood. In this work, we…

Optimization and Control · Mathematics 2025-09-29 Umberto Biccari

Neuromorphic computing has recently gained momentum with the emergence of various neuromorphic processors. As the field advances, there is an increasing focus on developing training methods that can effectively leverage the unique…

Emerging Technologies · Computer Science 2025-04-15 Sanaz Mahmoodi Takaghaj , Jack Sampson

This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons. Rigorous results on the stochastic stability are proved,…

Probability · Mathematics 2018-07-06 Yao Li , Hui Xu

This paper demonstrates how to construct ensembles of spiking neural networks producing state-of-the-art results, achieving classification accuracies of 98.71%, 100.0%, and 99.09%, on the MNIST, NMNIST and DVS Gesture datasets respectively.…

Neural and Evolutionary Computing · Computer Science 2021-09-07 Georgiana Neculae , Oliver Rhodes , Gavin Brown

In cognition, response times and choices in decision-making tasks are commonly modeled using Drift Diffusion Models (DDMs), which describe the accumulation of evidence for a decision as a stochastic process, specifically a Brownian motion,…

Machine Learning · Computer Science 2025-06-12 Sophie Jaffard , Giulia Mezzadri , Patricia Reynaud-Bouret , Etienne Tanré

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum

Quantifying similarity between population spike patterns is essential for understanding how neural dynamics encode information. Traditional approaches, which combine kernel smoothing, PCA, and CCA, have limitations: smoothing kernel…

Neurons and Cognition · Quantitative Biology 2025-05-21 Xiang Zhang , Chenlin Xu , Zhouxiao Lu , Haonan Wang , Dong Song

Consider a compound Poisson process with jump measure $\nu$ supported by finitely many positive integers. We propose a method for estimating $\nu$ from a single, equidistantly sampled trajectory and develop associated statistical…

Statistics Theory · Mathematics 2009-09-29 Werner Ehm , Benjamin Staude , Stefan Rotter

The firing dynamics of biological neurons in mathematical models is often determined by the model's parameters, representing the neurons' underlying properties. The parameter estimation problem seeks to recover those parameters of a single…

Neurons and Cognition · Quantitative Biology 2022-10-05 Long Le , Yao Li

Although a generalized spike population model has been actively studied in random matrix theory, its application to real data has been rarely explored. We find that most methods for determining the number of spikes based on the Johnstone's…

Methodology · Statistics 2018-05-01 Hyo Young Choi , J. S. Marron

Human brain neuron activities are incredibly significant nowadays. Neuronal behavior is assessed by analyzing signal data such as electroencephalography (EEG), which can offer scientists valuable information about diseases and…

Spiking neural networks (SNNs) offer a promising energy-efficient alternative to artificial neural networks, due to their event-driven spiking computation. However, some foundation SNN backbones (including Spikformer and SEW ResNet) suffer…

Neural and Evolutionary Computing · Computer Science 2025-11-14 Chenlin Zhou , Liutao Yu , Zhaokun Zhou , Han Zhang , Jiaqi Wang , Huihui Zhou , Zhengyu Ma , Yonghong Tian

Spiking neural networks (SNNs), inspired by the spiking behavior of biological neurons, provide a unique pathway for capturing the intricacies of temporal data. However, applying SNNs to time-series forecasting is challenging due to…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Changze Lv , Yansen Wang , Dongqi Han , Xiaoqing Zheng , Xuanjing Huang , Dongsheng Li

Spiking neural networks are the basis of versatile and power-efficient information processing in the brain. Although we currently lack a detailed understanding of how these networks compute, recently developed optimization techniques allow…

Neural and Evolutionary Computing · Computer Science 2021-01-01 Benjamin Cramer , Yannik Stradmann , Johannes Schemmel , Friedemann Zenke

The brain anticipates future events using internal models that specify not only what will occur, but also when it will occur and with what probability. We refer to this joint specification of identity, timing, and likelihood as a complete…

Neurons and Cognition · Quantitative Biology 2026-02-27 Yohei Yamada , Zenas C. Chao

Spike sorting is an essential process in neural recording, which identifies and separates electrical signals from individual neurons recorded by electrodes in the brain, enabling researchers to study how specific neurons communicate and…

Neurons and Cognition · Quantitative Biology 2025-12-23 Yimu Zhang , Dongqi Han , Yansen Wang , Zhenning Lv , Yu Gu , Dongsheng Li

Spiking Neural Networks (SNNs) have been proposed as biologically plausible and energy-efficient alternatives to conventional Artificial Neural Networks (ANNs). However, the training of SNN usually relies on surrogate gradients due to the…

Neural and Evolutionary Computing · Computer Science 2026-05-11 Himanshu Udupi , Xiaocong Yang , ChengXiang Zhai

Our ability to use deep learning approaches to decipher neural activity would likely benefit from greater scale, in terms of both model size and datasets. However, the integration of many neural recordings into one unified model is…

There has been significant research over the past two decades in developing new platforms for spiking neural computation. Current neural computers are primarily developed to mimick biology. They use neural networks which can be trained to…

Neural and Evolutionary Computing · Computer Science 2015-07-23 Xavier Lagorce , Ryad Benosman