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Understanding how stimuli and synaptic connectivity in uence the statistics of spike patterns in neural networks is a central question in computational neuroscience. Maximum Entropy approach has been successfully used to characterize the…

生物物理 · 物理学 2016-11-26 Rodrigo Cofre , Bruno Cessac

The dynamical responses of complex neuronal networks to external stimulus injected on a \emph{single} neuron are investigated. Stimulating the largest-degree neuron in the network, it is found that as the intensity of the stimulus…

混沌动力学 · 物理学 2016-04-13 Mengjiao Chen , Weijie Lin , Hengtong Wang , Wei Ren , Xingang Wang

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

Several scenarios of interacting neural networks which are trained either in an identical or in a competitive way are solved analytically. In the case of identical training each perceptron receives the output of its neighbour. The symmetry…

无序系统与神经网络 · 物理学 2007-05-23 W. Kinzel , R. Metzler , I. Kanter

We propose a distributionally robust model for the influence maximization problem. Unlike the classic independent cascade model \citep{kempe2003maximizing}, this model's diffusion process is adversarially adapted to the choice of seed set.…

社会与信息网络 · 计算机科学 2022-02-23 Louis Chen , Divya Padmanabhan , Chee Chin Lim , Karthik Natarajan

In real world social networks, there are multiple cascades which are rarely independent. They usually compete or cooperate with each other. Motivated by the reinforcement theory in sociology we leverage the fact that adoption of a user to…

社会与信息网络 · 计算机科学 2016-11-23 Ali Zarezade , Ali Khodadadi , Mehrdad Farajtabar , Hamid R. Rabiee , Hongyuan Zha

The Ising model is an equilibrium stochastic process used as a model in several branches of science including magnetic materials, geophysics, neuroscience, sociology and finance. Real systems of interest have finite size and a fixed…

统计力学 · 物理学 2021-11-10 Konstantin Klemm

Neurons subject to a common non-stationary input may exhibit a correlated firing behavior. Correlations in the statistics of neural spike trains also arise as the effect of interaction between neurons. Here we show that these two situations…

定量方法 · 定量生物学 2021-04-13 Joanna Tyrcha , Yasser Roudi , Matteo Marsili , John Hertz

In the study of social networks, a fundamental problem is that of influence maximization (IM): How can we maximize the collective opinion of individuals in a network given constrained marketing resources? Traditionally, the IM problem has…

无序系统与神经网络 · 物理学 2016-09-30 Christopher Lynn , Daniel D. Lee

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

神经元与认知 · 定量生物学 2021-06-04 Udaya B. Rongala , Henrik Jörntell

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences…

神经元与认知 · 定量生物学 2016-10-12 Jose A. Reinoso , M. C. Torrent , Cristina Masoller

The proliferation of Social Network Sites (SNSs) has greatly reformed the way of information dissemination, but also provided a new venue for hosts with impure motivations to disseminate malicious information. Social trust is the basis for…

计算机科学与博弈论 · 计算机科学 2016-10-04 Hao Fu , Hongxing Li , Zizhan Zheng , Pengfei Hu , Prasant Mohapatra

The inverse Ising model is used in computational neuroscience to infer probability distributions of the synchronous activity of large neuronal populations. This method allows for finding the Boltzmann distribution with single neuron biases…

神经元与认知 · 定量生物学 2022-07-27 Geoffroy Delamare , Ulisse Ferrari

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

动力系统 · 数学 2016-09-07 M. -P. Zorzano , L. Vazquez

We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the…

社会与信息网络 · 计算机科学 2019-01-23 Justin Khim , Varun Jog , Po-Ling Loh

We consider the problem of learning the underlying graph of an unknown Ising model on p spins from a collection of i.i.d. samples generated from the model. We suggest a new estimator that is computationally efficient and requires a number…

机器学习 · 计算机科学 2017-04-17 Marc Vuffray , Sidhant Misra , Andrey Y. Lokhov , Michael Chertkov

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

神经元与认知 · 定量生物学 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Models of biochemical networks are usually presented as connected graphs where vertices indicate proteins and edges are drawn to indicate activation or inhibition relationships. These diagrams are useful for drawing qualitative conclusions…

动力系统 · 数学 2023-09-29 Chathranee Jayathilaka , Robyn Araujo , Lan Nguyen , Mark Flegg

In this paper, we study incentive mechanisms for retrieving information from networked agents. Following the model in [Kleinberg and Raghavan 2005], the agents are represented as nodes in an infinite tree, which is generated by a random…

计算机科学与博弈论 · 计算机科学 2013-08-02 Wei Chen , Yajun Wang , Dongxiao Yu , Li Zhang

Links in many real-world networks activate and deactivate in correspondence to the sporadic interactions between the elements of the system. The activation patterns may be irregular or bursty and play an important role on the dynamics of…

物理与社会 · 物理学 2017-02-03 Oriol Artime , Jose J. Ramasco , Maxi San Miguel