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We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if the interactions are strong enough, then the support of the…

Dynamical Systems · Mathematics 2013-09-10 E. Catsigeras , P. Guiraud

Analog computing at the edge is an emerging strategy to limit data storage and transmission requirements, as well as energy consumption, and its practical implementation is in its initial stages of development. Translating properties of…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Giuseppe Leo , Paolo Gibertini , Irem Ilter , Erika Covi , Ole Richter , Elisabetta Chicca

The role of synchronous firing in sensory coding and cognition remains controversial. While studies, focusing on its mechanistic consequences in attentional tasks, suggest that synchronization dynamically boosts sensory processing, others…

Neurons and Cognition · Quantitative Biology 2019-05-07 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe

Brain-inspired neuromorphic computing is a promising path towards next generation analogue computers that are fundamentally different compared to the conventional von Neumann architecture. One model for neuromorphic computing that can mimic…

Disordered Systems and Neural Networks · Physics 2023-08-22 Verena Brehm , Johannes W. Austefjord , Serban Lepadatu , Alireza Qaiumzadeh

Wireless spiking neural networks (WSNNs) allow energy-efficient communications, especially when considering edge intelligence and learning for both terrestrial beyond 5G/6G and space networking systems. Recent research work has revealed…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Pietro Savazzi , Anna Vizziello , Fabio Dell'Acqua

Intrinsic Frequency (IF) has recently been introduced as an ample signal processing method for analyzing carotid and aortic pulse pressure tracings. The IF method has also been introduced as an effective approach for the analysis of…

Numerical Analysis · Mathematics 2017-08-03 Peyman Tavallali , Hana Koorehdavoudi , Joanna Krupa

In this paper, the foundations of neuromorphic computing, spiking neural networks (SNNs) and memristors, are analyzed and discussed. Neuromorphic computing is then applied to FPGA design for digital signal processing (DSP). Finite impulse…

Neural and Evolutionary Computing · Computer Science 2026-01-13 Justin London

Atomistic modeling of solid-solid battery interfaces is essential for understanding electro-chemo-mechanical coupling, but the complex interfacial chemistry and heterogeneous environments pose major challenges for quantum-accurate,…

Materials Science · Physics 2026-01-27 Xiaoqing Liu , Xinyu Yu , Yangshuai Wang , Zhe-Tao Sun , Zedong Luo , Kehan Zeng , Teng Zhao , Shou-Hang Bo , Zhenli Xu

Oscillatory dynamics have recently proven highly effective in machine learning (ML), particularly through State-Space-Models (SSM) that leverage structured linear recurrences for long-range temporal processing. Resonate-and-Fire neurons…

Signal Processing · Electrical Eng. & Systems 2025-11-18 Angqi Liu , Filippo Moro , Sebastian Billaudelle , Melika Payvand

In the Internet-of-Things (IoT) era, efficient functionality integration is essential to address the growing demands of communication, computation, and sensing. Signal-level integrated sensing, computing, and communication (Sig-ISCC) is…

Information Theory · Computer Science 2026-04-30 Paul Zheng , Yao Zhu , Xiaopeng Yuan , Yulin Hu , Anke Schmeink

In spiking neural networks, neuron dynamics are described by the biologically realistic integrate-and-fire model that captures membrane potential accumulation and above-threshold firing behaviors. Among the hardware implementations of…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Can Cui1 , Sam Liu , Jaesuk Kwon , Jean Anne C. Incorvia

Spiking neural networks (SNNs) based on Leaky Integrate and Fire (LIF) model have been applied to energy-efficient temporal and spatiotemporal processing tasks. Thanks to the bio-plausible neuronal dynamics and simplicity, LIF-SNN benefits…

Machine Learning · Computer Science 2022-03-04 Zhenzhi Wu , Hehui Zhang , Yihan Lin , Guoqi Li , Meng Wang , Ye Tang

Bayesian integral functional measure of entropy-uncertainty (EF) on trajectories of Markov multi-dimensional diffusion process is cutting off by interactive impulses (controls). Each cutoff minimax of EF superimposes and entangles…

Adaptation and Self-Organizing Systems · Physics 2014-10-03 Vladimir S. Lerner

To date, formal models of collective intelligence have lacked a plausible mathematical description of the relationship between local-scale interactions between highly autonomous sub-system components (individuals) and global-scale behavior…

Social and Information Networks · Computer Science 2021-07-21 Rafael Kaufmann , Pranav Gupta , Jacob Taylor

Artificial neural networks (ANNs) have been extensively used for the description of problems arising from biological systems and for constructing neuromorphic computing models. The third generation of ANNs, namely, spiking neural networks…

Neurons and Cognition · Quantitative Biology 2022-06-18 Thi Kim Thoa Thieu , Roderick Melnik

Neuromorphic computing and spiking neural networks (SNNs) are gaining traction across various artificial intelligence (AI) tasks thanks to their potential for efficient energy usage and faster computation speed. This comparative advantage…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Theofilos Spyrou , Said Hamdioui , Haralampos-G. Stratigopoulos

When handling real-world data modeled by a complex network dynamical system, the number of the parameters is always even much more than the size of the data. Therefore, in many cases, it is impossible to estimate these parameters and…

Dynamical Systems · Mathematics 2022-06-08 Wenyong Zhang , Boyu Chen , Jianfeng Feng , Wenlian Lu

This paper is concerned with the inverse problem of recovering the unknown signal components, along with extraction of their instantaneous frequencies (IFs), governed by the adaptive harmonic model (AHM), from discrete (and possibly…

Machine Learning · Computer Science 2020-02-03 Charles K. Chui , Ningning Han , Hrushikesh N. Mhaskar

Leaky integrate-and-fire (LIF) models are mean-field limits, with a large number of neurons, used to describe neural networks. We consider inhomogeneous networks structured by a connec-tivity parameter (strengths of the synaptic weights)…

Neurons and Cognition · Quantitative Biology 2017-06-20 Benoît Perthame , Delphine Salort , Gilles Wainrib

Neural processing systems typically represent data using leaky integrate and fire (LIF) neuron models that generate spikes or pulse trains at a rate proportional to their input amplitudes. This mechanism requires high firing rates when…

Emerging Technologies · Computer Science 2019-05-07 Manu V Nair , Giacomo Indiveri
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