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Now that spike trains from many neurons can be recorded simultaneously, there is a need for methods to decode these data to learn about the networks that these neurons are part of. One approach to this problem is to adjust the parameters of…

定量方法 · 定量生物学 2011-06-10 John Hertz , Yasser Roudi , Joanna Tyrcha

We show the existence of a competition-induced resonance effect for a generic globally coupled bistable system. In particular, we demonstrate that the response of the macroscopic variable to an external signal is optimal for a particular…

统计力学 · 物理学 2013-05-29 T. Vaz Martins , V. N. Livina , A. P. Majtey , R. Toral

Ising models with pairwise interactions are the least structured, or maximum-entropy, probability distributions that exactly reproduce measured pairwise correlations between spins. Here we use this equivalence to construct Ising models that…

神经元与认知 · 定量生物学 2007-05-23 Gasper Tkacik , Elad Schneidman , Michael J Berry , William Bialek

Several recent experiments in biology study systems composed of several interacting elements, for example neuron networks. Normally, measurements describe only the collective behavior of the system, even if in most cases we would like to…

无序系统与神经网络 · 物理学 2010-10-12 Vitor Sessak

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

计算机科学与博弈论 · 计算机科学 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

分子网络 · 定量生物学 2017-11-06 Gabriel A. Silva

The Ising model was originally developed to model magnetisation of solids in statistical physics. As a network of binary variables with the probability of becoming 'active' depending only on direct neighbours, the Ising model appears…

统计理论 · 数学 2018-07-31 Lourens Waldorp , Maarten Marsman , Gunter Maris

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

物理与社会 · 物理学 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

We study pairwise Ising models for describing the statistics of multi-neuron spike trains, using data from a simulated cortical network. We explore efficient ways of finding the optimal couplings in these models and examine their…

定量方法 · 定量生物学 2009-05-21 Yasser Roudi , Joanna Tyrcha , John Hertz

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

数据分析、统计与概率 · 物理学 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

无序系统与神经网络 · 物理学 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

We study a model for a statistical network formed by interactions between its nodes and links. Each node can be in one of two states (Ising spin up or down) and the node-link interaction facilitates linking between the like nodes. For high…

统计力学 · 物理学 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

统计力学 · 物理学 2007-05-23 Dafang Zheng , Guler Ergun

Real-world attacks can be interpreted as the result of competitive interactions between networks, ranging from predator-prey networks to networks of countries under economic sanctions. Although the purpose of an attack is to damage a target…

社会与信息网络 · 计算机科学 2015-10-22 Boris Podobnik , Davor Horvatic , Tomislav Lipic , Matjaz Perc , Javier M. Buldu , H. Eugene Stanley

Reverberating dynamics of neural network is modelled on PC in order to illustrate possible role of inhibition as binding controller in the network. The network is composed of binding neurons. In the binding neuron model the degree of…

神经元与认知 · 定量生物学 2013-05-17 Alexander Vidybida

The pairwise maximum entropy model, also known as the Ising model, has been widely used to analyze the collective activity of neurons. However, controversy persists in the literature about seemingly inconsistent findings, whose significance…

无序系统与神经网络 · 物理学 2019-03-13 Cristian Zanoci , Nima Dehghani , Max Tegmark

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

神经元与认知 · 定量生物学 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

最优化与控制 · 数学 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

Several types of biological networks have recently been shown to be accurately described by a maximum entropy model with pairwise interactions, also known as the Ising model. Here we present an approach for finding the optimal mappings…

生物物理 · 物理学 2015-05-14 Jeffrey D. Fitzgerald , Tatyana O. Sharpee

The construction of biologically plausible models of neural circuits is crucial for understanding the computational properties of the nervous system. Constructing functional networks composed of separate excitatory and inhibitory neurons…

无序系统与神经网络 · 物理学 2020-07-01 Alessandro Ingrosso , L. F. Abbott
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