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We build simple models for the distribution of voting patterns in a group, using the Supreme Court of the United States as an example. The least structured, or maximum entropy, model that is consistent with the observed pairwise…

物理与社会 · 物理学 2017-09-30 Edward D. Lee , Chase P. Broedersz , William Bialek

We implement the Ising model on a structural connectivity matrix describing the brain at a coarse scale. Tuning the model temperature to its critical value, i.e. at the susceptibility peak, we find a maximal amount of total information…

神经元与认知 · 定量生物学 2013-09-03 Daniele Marinazzo , Mario Pellicoro , Guorong Wu , Leonardo Angelini , Jesus M Cortes , Sebastiano Stramaglia

Living systems break detailed balance at small scales, consuming energy and producing entropy in the environment in order to perform molecular and cellular functions. However, it remains unclear how broken detailed balance manifests at…

Network control refers to a very large and diverse set of problems including controllability of linear time-invariant dynamical systems, where the objective is to select an appropriate input to steer the network to a desired state. There…

数据结构与算法 · 计算机科学 2016-03-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Global integration of information in the brain results from complex interactions of segregated brain networks. Identifying the most influential neuronal populations that efficiently bind these networks is a fundamental problem of systems…

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

神经与进化计算 · 计算机科学 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

We propose a data-driven framework to enable the modeling and optimization of human-machine interaction processes, e.g., systems aimed at assisting humans in decision-making or learning, work-load allocation, and interactive advertising.…

机器学习 · 计算机科学 2019-03-19 Jiaxiao Zheng , Gustavo de Veciana

The responses of synapses in the neocortex show highly stochastic and nonlinear behavior. The microscopic dynamics underlying this behavior, and its computational consequences during natural patterns of synaptic input, are not explained by…

神经元与认知 · 定量生物学 2007-05-23 Ingo C. Kleppe , Hugh P. C. Robinson

This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations, and compares them to very simple reduced models driven by the same mean excitatory and…

神经元与认知 · 定量生物学 2017-11-07 Yao Li , Logan Chariker , Lai-Sang Young

Animals perform near-optimal probabilistic inference in a wide range of psychophysical tasks. Probabilistic inference requires trial-to-trial representation of the uncertainties associated with task variables and subsequent use of this…

神经元与认知 · 定量生物学 2017-04-25 A. Emin Orhan , Wei Ji Ma

Multi-task learning is frequently used to model a set of related response variables from the same set of features, improving predictive performance and modeling accuracy relative to methods that handle each response variable separately.…

统计方法学 · 统计学 2023-08-11 Snigdha Panigrahi , Natasha Stewart , Chandra Sekhar Sripada , Elizaveta Levina

Cortical neurons include many sub-cellular processes, operating at multiple timescales, which may affect their response to stimulation through non-linear and stochastic interaction with ion channels and ionic concentrations. Since new…

神经元与认知 · 定量生物学 2014-05-01 Daniel Soudry , Ron Meir

The principle of maximum entropy is a broadly applicable technique for computing a distribution with the least amount of information possible while constrained to match empirically estimated feature expectations. However, in many real-world…

机器学习 · 计算机科学 2022-08-16 Kenneth Bogert , Yikang Gui , Prashant Doshi

A complex interplay of single-neuron properties and the recurrent network structure shapes the activity of cortical neurons. The single-neuron activity statistics differ in general from the respective population statistics, including…

神经元与认知 · 定量生物学 2021-11-02 Alexander van Meegen , Sacha J. van Albada

Graph mining to extract interesting components has been studied in various guises, e.g., communities, dense subgraphs, cliques. However, most existing works are based on notions of frequency and connectivity and do not capture subjective…

社会与信息网络 · 计算机科学 2016-08-15 Hao Wu , Maoyuan Sun , Jilles Vreeken , Nikolaj Tatti , Chris North , Naren Ramakrishnan

Nonparametric estimation of nonlocal interaction kernels is crucial in various applications involving interacting particle systems. The inference challenge, situated at the nexus of statistical learning and inverse problems, arises from the…

统计理论 · 数学 2025-04-24 Xiong Wang , Inbar Seroussi , Fei Lu

We study a simple model for a neuron function in a collective brain system. The neural network is composed of uncorrelated random scale-free network for eliminating the degree correlation of dynamical processes. The interaction of neurons…

统计力学 · 物理学 2007-05-23 Kyoung Eun Lee , Jae Woo Lee

Statistical inference using pairwise comparison data is an effective approach to analyzing large-scale sparse networks. In this paper, we propose a general framework to model the mutual interactions in a network, which enjoys ample…

机器学习 · 统计学 2022-03-11 Ruijian Han , Yiming Xu , Kani Chen

Tree tensor networks, or tree-based tensor formats, are prominent model classes for the approximation of high-dimensional functions in computational and data science. They correspond to sum-product neural networks with a sparse connectivity…

统计理论 · 数学 2022-03-25 Bertrand Michel , Anthony Nouy

In this paper, we determine which non-random sampling of fixed size gives the best linear predictor of the sum of a finite spatial population. We employ different multiscale superpopulation models and use the minimum mean-squared error as…

统计理论 · 数学 2007-06-13 Vinay J. Ribeiro , Rudolf H. Riedi , Richard G. Baraniuk