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Spiking neural networks (SNNs) with leaky integrate and fire (LIF) neurons, can be operated in an event-driven manner and have internal states to retain information over time, providing opportunities for energy-efficient neuromorphic…

Neural and Evolutionary Computing · Computer Science 2021-09-07 Wachirawit Ponghiran , Kaushik Roy

Deep Neural Networks (DNNs) are the current state-of-the-art models in many speech related tasks. There is a growing interest, though, for more biologically realistic, hardware friendly and energy efficient models, named Spiking Neural…

Machine Learning · Computer Science 2020-11-16 Thomas Pellegrini , Romain Zimmer , Timothée Masquelier

Integrate and fire oscillators are widely used to model the generation of action potentials in neurons. In this paper, we discuss small noise asymptotic results for a class of stochastic integrate and fire oscillators (SIFs) in which the…

Probability · Mathematics 2009-07-22 Peter Baxendale , John Mayberry

We consider the deterministic evolution of a time-discretized spiking network of neurons with connection weights having delays, modeled as a discretized neural network of the generalized integrate and fire (gIF) type. The purpose is to…

Adaptation and Self-Organizing Systems · Physics 2013-01-11 H. Rostro , B. Cessac , J. C. Vasquez , T. Vieville

Frequency restoration in power systems is conventionally performed by broadcasting a centralized signal to local controllers. As a result of the energy transition, technological advances, and the scientific interest in distributed control…

Optimization and Control · Mathematics 2026-01-13 Erieke Weitenberg , Yan Jiang , Changhong Zhao , Enrique Mallada , Claudio De Persis , Florian Dörfler

Spiking Neural Networks (SNNs) are noted for their brain-like computation and energy efficiency, but their performance lags behind Artificial Neural Networks (ANNs) in tasks like image classification and object detection due to the limited…

Neural and Evolutionary Computing · Computer Science 2025-06-09 Binghao Ye , Wenjuan Li , Dong Wang , Man Yao , Bing Li , Weiming Hu , Dong Liang , Kun Shang

Spiking Neural Networks (SNNs) are promising for energy-efficient, real-time edge computing, yet their performance is often constrained by the limited adaptability of conventional leaky integrate-and-fire (LIF) neurons. Existing LIF models…

Machine Learning · Computer Science 2026-03-24 Zhuobin Yang , Yeyao Bao , Liangfu Lv , Jian Zhang , Xiaohong Li , Yunliang Zang

We study the dynamics of identical Leaky Integrate-and-Fire (LIF) neurons on a multiplex composed of two ring networks with symmetric nonlocal coupling within each ring and one-to-one connections between rings. We investigate the impact of…

Pattern Formation and Solitons · Physics 2023-10-30 K. Anesiadis , J. Hizanidis

Concurrent estimation and control of robotic systems remains an ongoing challenge, where controllers rely on data extracted from states/parameters riddled with uncertainties and noises. Framework suitability hinges on task complexity and…

Robotics · Computer Science 2023-10-09 Reza Ahmadvand , Sarah Safura Sharif , Yaser Mike Banad

The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation system. When the total…

Analysis of PDEs · Mathematics 2018-06-07 María J. Cáceres , Pierre Roux , Delphine Salort , Ricarda Schneider

The linearly inseparable XOR problem and the related problem of representing binary logical gates is revisited from the point of view of temporal encoding and its solvability by spiking neural networks with minimal configurations of leaky…

Neural and Evolutionary Computing · Computer Science 2024-08-13 Bernhard A. Moser , Michael Lunglmayr

Spiking Neural Networks (SNNs) use discrete spike sequences to transmit information, which significantly mimics the information transmission of the brain. Although this binarized form of representation dramatically enhances the energy…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Guobin Shen , Dongcheng Zhao , Yi Zeng

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall

Neural network dynamics emerge from the interaction of spiking cells. One way to formulate the problem is through a theoretical framework inspired by ideas coming from statistical physics, the so-called mean-field theory. In this document,…

Analysis of PDEs · Mathematics 2020-11-11 Grégory Dumont , Pierre Gabriel

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

We studied the impact of a dynamical threshold on the f-I curve-the relationship between the input and the firing rate of a neuron-in the presence of background synaptic inputs. First, we found that, while the leaky integrate-and-fire model…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ryota Kobayashi

Neuromorphic computing (NC) is a promising candidate for artificial intelligence applications. To realize NC, electronic analogues of brain components, such as synapses and neurons, must be designed. In spintronics, domain wall (DW) based…

This paper investigates the classification capability of small-scale spiking neural networks based on the Leaky Integrate-and-Fire (LIF) neuron model. We analyze the relationship between classification accuracy and three factors: the number…

Neurons and Cognition · Quantitative Biology 2026-01-22 Zhengdi Zhang , Cong Han , Wenjun Xia

Quasi-particle interference (QPI) is a powerful tool to characterize the symmetry of the superconducting order parameter in unconventional superconductors, by mapping the spatial dependence of elastic tunneling of electrons between the tip…

Motivated by experimental observations, we investigate a variant of the cocktail party problem: the detection of a weak periodic stimulus in the presence of fluctuations and another periodic stimulus which is stronger than the periodic…

Biological Physics · Physics 2023-05-23 Maria Schlungbaum , Benjamin Lindner