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In recent years, newly developed methods to train spiking neural networks (SNNs) have rendered them as a plausible alternative to Artificial Neural Networks (ANNs) in terms of accuracy, while at the same time being much more energy…

神经与进化计算 · 计算机科学 2023-05-17 Nicolas Perez-Nieves , Dan F. M Goodman

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

系统与控制 · 电气工程与系统科学 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

混沌动力学 · 物理学 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

We introduce propagation kernels, a general graph-kernel framework for efficiently measuring the similarity of structured data. Propagation kernels are based on monitoring how information spreads through a set of given graphs. They leverage…

机器学习 · 统计学 2014-10-14 Marion Neumann , Roman Garnett , Christian Bauckhage , Kristian Kersting

Mutual learning process between two parity feed-forward networks with discrete and continuous weights is studied analytically, and we find that the number of steps required to achieve full synchronization between the two networks in the…

统计力学 · 物理学 2009-11-07 Michal Rosen-Zvi , Ido Kanter , Wolfgang Kinzel

Starting from a spectral expansion of the Fokker-Plank equation for the membrane potential density in a network of spiking neurons, a low-dimensional dynamics of the collective firing rate is derived. As a result a $n$-order ordinary…

神经元与认知 · 定量生物学 2016-09-29 Maurizio Mattia

The representation of the natural-density, heterogeneous connectivity of neuronal network models at relevant spatial scales remains a challenge for Computational Neuroscience and Neuromorphic Computing. In particular, the memory demands…

神经元与认知 · 定量生物学 2022-09-16 Stefan Dasbach , Tom Tetzlaff , Markus Diesmann , Johanna Senk

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

The process of pattern formation for a multi-species model anchored on a time varying network is studied. A non homogeneous perturbation superposed to an homogeneous stable fixed point can amplify, as follows a novel mechanism of…

统计力学 · 物理学 2017-10-11 Julien Petit , Ben Lauwens , Duccio Fanelli , Timoteo Carletti

Spiking Neural Networks (SNNs) that operate in an event-driven manner and employ binary spike representation have recently emerged as promising candidates for energy-efficient computing. However, a cost bottleneck arises in obtaining…

神经与进化计算 · 计算机科学 2024-01-22 Yunpeng Yao , Man Wu , Zheng Chen , Renyuan Zhang

Spreading processes, e.g. epidemics, wildfires and rumors, are often modeled on static networks. However, their underlying network structures, e.g. changing contacts in social networks, different weather forecasts for wildfires, are due to…

系统与控制 · 电气工程与系统科学 2023-02-07 Vera L. J. Somers , Ian R. Manchester

The dynamics of spatially-structured networks of $N$ interacting stochastic neurons can be described by deterministic population equations in the mean-field limit. While this is known, a general question has remained unanswered: does…

概率论 · 数学 2025-04-08 Pierre-Emmanuel Jabin , Valentin Schmutz , Datong Zhou

We propose consensus propagation, an asynchronous distributed protocol for averaging numbers across a network. We establish convergence, characterize the convergence rate for regular graphs, and demonstrate that the protocol exhibits better…

信息论 · 计算机科学 2007-07-13 Ciamac C. Moallemi , Benjamin Van Roy

We address the problem of a front propagation in chains with a bi-stable nondegenerate on-site potential and a nonlinear gradient coupling. For a generic nonlinear coupling, one encounters a special regime of transitions, characterized by…

斑图形成与孤子 · 物理学 2018-03-14 I. B. Shiroky , O. V. Gendelman

For networks of pulse-coupled oscillators with complex connectivity, we demonstrate that in the presence of coupling heterogeneity precisely timed periodic firing patterns replace the state of global synchrony that exists in homogenous…

无序系统与神经网络 · 物理学 2009-11-10 Michael Denker , Marc Timme , Markus Diesmann , Fred Wolf , Theo Geisel

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of the topological structure of the network in these processes…

统计力学 · 物理学 2009-11-10 Yamir Moreno , Maziar Nekovee , Alessandro Vespignani

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

物理与社会 · 物理学 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

We break the linear link between the layer size and its inference cost by introducing the fast feedforward (FFF) architecture, a log-time alternative to feedforward networks. We demonstrate that FFFs are up to 220x faster than feedforward…

机器学习 · 计算机科学 2023-09-19 Peter Belcak , Roger Wattenhofer

Spreading of bacteria in a highly advective, disordered environment is examined. Predictions of super-diffusive spreading for a simplified reaction-diffusion equation are tested. Concentration profiles display anomalous growth and…

生物物理 · 物理学 2007-05-23 John H. Carpenter , Karin A. Dahmen

We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at the input of the network. In the framework of the statistical…

无序系统与神经网络 · 物理学 2012-05-07 Iakov Karandashev , Boris Kryzhanovsky , Leonid Litinskii
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