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Spiking Neural Networks (SNNs) offer a biologically plausible and energy-efficient framework for temporal information processing. However, existing studies overlook a fundamental property widely observed in biological neurons-synaptic…

Neurons and Cognition · Quantitative Biology 2025-08-19 Zhichao Deng , Zhikun Liu , Junxue Wang , Shengqian Chen , Xiang Wei , Qiang Yu

This paper aims at proposing a sufficient matrix inequality condition to carry out the global exponential stability of the wave equation under an event-triggering mechanism that updates a damping source term. The damping is distributed in…

Analysis of PDEs · Mathematics 2021-07-02 Florent Koudohode , Lucie Baudouin , Sophie Tarbouriech

In this work it is described how to enhance and generalize the equivalent model (arXiv:0802.0421) of integrate-and-fire dynamics in order to treat any complex neuronal networks, especially those exibiting modular structure. It has been…

Physics and Society · Physics 2008-02-12 Luciano da Fontoura Costa

Computational modelling of metal-electrolyte reactions is central to the understanding and prediction of a wide range of physical phenomena, yet this is often challenging owing to the presence of numerical oscillations that arise due to…

Chemical Physics · Physics 2023-02-07 T. Hageman , E. Martínez-Pañeda

We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of…

Numerical Analysis · Mathematics 2020-08-14 Frédéric Marazzato , Alexandre Ern , Christian Mariotti , Laurent Monasse

Timed Transition Models (TTMs) are event-based descriptions for modelling, specifying, and verifying discrete real-time systems. An event can be spontaneous, fair, or timed with specified bounds. TTMs have a textual syntax, an operational…

Software Engineering · Computer Science 2015-06-12 Chen-Wei Wang , Jonathan S. Ostroff , Simon Hudon

We present two Bayesian procedures to infer the interactions and external currents in an assembly of stochastic integrate-and-fire neurons from the recording of their spiking activity. The first procedure is based on the exact calculation…

Machine Learning · Statistics 2011-02-28 Remi Monasson , Simona Cocco

This work develops a flexible inferential framework for nonparametric causal inference in time-to-event settings, based on stochastic interventions defined through multiplicative scaling of the intensity governing an intermediate event…

Methodology · Statistics 2026-02-04 Helene Charlotte Wiese Rytgaard , Mark van der Laan

The Reynolds-Averaged Navier-Stokes equations and the Large-Eddy Simulation equations can be coupled using a transition function to switch from a set of equations applied in some areas of a domain to the other set in the other part of the…

Computational Physics · Physics 2019-04-11 Laurent Muscat , Guillaume Puigt , Marc Montagnac , Pierre Brenner

In this paper, we investigate convergence of a class of analytic neural networks with event-triggered rule. This model is general and include Hopfield neural network as a special case. The event-trigger rule efficiently reduces the…

Adaptation and Self-Organizing Systems · Physics 2015-05-01 Wenlian Lu , Ren Zheng , Xinlei Yi , Tianping Chen

A central challenge in cognitive neuroscience is to explain how semantic and episodic memory, two major forms of declarative memory, typically associated with cortical and hippocampal processing, interact to support learning, recall, and…

Neurons and Cognition · Quantitative Biology 2026-02-19 Marco D'Alessandro , Leo D'Amato , Mikel Elkano , Mikel Uriz , Giovanni Pezzulo

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

Strongly coupled, recurrent, balanced network models have been successful in describing and predicting many phenomena observed in cortical neural recordings. However, most balanced network models use current-based synapse models in place of…

Neurons and Cognition · Quantitative Biology 2026-05-13 Vicky Zhu , Gabriel Ocker , Robert Rosenbaum

Strong inhibitory input to neurons, which occurs in balanced states of neural networks, increases synaptic current fluctuations. This has led to the assumption that inhibition contributes to the high spike-firing irregularity observed in…

Neurons and Cognition · Quantitative Biology 2021-02-19 Tomas Barta , Lubomir Kostal

Circadian and other physiological rhythms play a key role in both normal homeostasis and disease processes. Such is the case of circadian and infradian seizure patterns observed in epilepsy. In this paper we explore a new implantable…

We perform simulations of feedback from supernovae and black holes with smoothed particle hydrodynamics (SPH). Such strong perturbations are inaccurately handled with standard time integration schemes, leading to poor energy conservation, a…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-09 Fabrice Durier , Claudio Dalla Vecchia

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

This project was motivated by a dialysis study in northern Taiwan. Dialysis patients, after shunt implantation, may experience two types ("acute" or "non-acute") of shunt thrombosis, both of which may recur. We formulate the problem under…

Methodology · Statistics 2017-07-07 Bowen Li

In a Spiking Neural Networks (SNN), spike emissions are sparsely and irregularly distributed both in time and in the network architecture. Since a current feature of SNNs is a low average activity, efficient implementations of SNNs are…

Neural and Evolutionary Computing · Computer Science 2016-08-16 Anthony Mouraud , Didier Puzenat , Hélène Paugam-Moisy

We introduce REPRISE, a REtrospective and PRospective Inference SchEme, which learns temporal event-predictive models of dynamical systems. REPRISE infers the unobservable contextual event state and accompanying temporal predictive models…

Machine Learning · Computer Science 2019-05-03 Martin V. Butz , David Bilkey , Dania Humaidan , Alistair Knott , Sebastian Otte