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We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

Machine Learning · Computer Science 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros

We consider the problem of identifying coordinated influence campaigns conducted by automated agents or bots in a social network. We study several different Twitter datasets which contain such campaigns and find that the bots exhibit…

Social and Information Networks · Computer Science 2018-05-28 Nicolas Guenon des Mesnards , Tauhid Zaman

Inference and learning of graphical models are both well-studied problems in statistics and machine learning that have found many applications in science and engineering. However, exact inference is intractable in general graphical models,…

Machine Learning · Statistics 2015-02-04 Jason K. Johnson , Diane Oyen , Michael Chertkov , Praneeth Netrapalli

Doubly-intractable posterior distributions arise in many applications of statistics concerned with discrete and dependent data, including physics, spatial statistics, machine learning, the social sciences, and other fields. A specific…

Computation · Statistics 2021-05-20 Jaewoo Park , Ick Hoon Jin , Michael Schweinberger

The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have…

Physics and Society · Physics 2025-07-01 Pratik Mullick , Parongama Sen

We propose a new Ising-PageRank model of opinion formation on a social network by introducing an Ising- or spin-like structure of the corresponding Google matrix. Each elector or node of the network has two components corresponding to a red…

Physics and Society · Physics 2019-04-18 Klaus M. Frahm , Dima L. Shepelyansky

The use of statistical physics to study problems of social sciences is motivated and its current state of the art briefly reviewed, in particular for the case of discrete choice making. The coupling of two binary choices is studied in some…

Physics and Society · Physics 2011-04-27 Ana Fernández del Río

To understand how the interconnected and interdependent world of the twenty-first century operates and make model-based predictions, joint probability models for networks and interdependent outcomes are needed. We propose a comprehensive…

Methodology · Statistics 2025-07-03 Cornelius Fritz , Michael Schweinberger , Subhankar Bhadra , David R. Hunter

Recent work has shown that probabilistic models based on pairwise interactions-in the simplest case, the Ising model-provide surprisingly accurate descriptions of experiments on real biological networks ranging from neurons to genes.…

Quantitative Methods · Quantitative Biology 2007-12-18 Tamara Broderick , Miroslav Dudik , Gasper Tkacik , Robert E. Schapire , William Bialek

Correlations between two variables of a high-dimensional system can be indicative of an underlying interaction, but can also result from indirect effects. Inverse Ising inference is a method to distinguish one from the other. Essentially,…

Populations and Evolution · Quantitative Biology 2014-12-10 Benedikt Obermayer , Erel Levine

For data with high-dimensional covariates but small to moderate sample sizes, the analysis of single datasets often generates unsatisfactory results. The integrative analysis of multiple independent datasets provides an effective way of…

Methodology · Statistics 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

Statistical Mechanics · Physics 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

This thesis studies two problems in modern statistics. First, we study selective inference, or inference for hypothesis that are chosen after looking at the data. The motiving application is inference for regression coefficients selected by…

Machine Learning · Statistics 2015-07-02 Jason D. Lee

In this paper, we consider the multivariate Bernoulli distribution as a model to estimate the structure of graphs with binary nodes. This distribution is discussed in the framework of the exponential family, and its statistical properties…

Applications · Statistics 2013-11-13 Bin Dai , Shilin Ding , Grace Wahba

This study proposes a novel approach based on the Ising model for analyzing socio-economic emerging patterns between municipalities by investigating the observed configuration of a network of selected territorial units which are classified…

Methodology · Statistics 2025-10-07 Pierpaolo Massoli

Multivariate regression model is a natural generalization of the classical univari- ate regression model for fitting multiple responses. In this paper, we propose a high- dimensional multivariate conditional regression model for…

Machine Learning · Statistics 2016-11-26 Junhui Wang

We consider independent component analysis of binary data. While fundamental in practice, this case has been much less developed than ICA for continuous data. We start by assuming a linear mixing model in a continuous-valued latent space,…

Machine Learning · Computer Science 2022-08-03 Antti Hyttinen , Vitória Barin-Pacela , Aapo Hyvärinen

We investigate a nonlinear version of coevolving voter models, in which node states and network structure update as a coupled stochastic dynamical process. Most prior work on coevolving voter models has focused on linear update rules with…

Physics and Society · Physics 2020-07-01 Yacoub H. Kureh , Mason A. Porter

Collective adaptation, whether in innovation adoption, pro-environmental or organizational change, emerges from the interplay between individual decisions and social influence. Agent-based modeling provides a useful tool for studying such…

Physics and Society · Physics 2025-10-29 Angelika Abramiuk-Szurlej , Katarzyna Sznajd-Weron

We investigate the problem of statistical inference for logistic regression with high-dimensional covariates in settings where dependence among individuals is induced by an underlying Markov random field. Going beyond the pairwise…

Statistics Theory · Mathematics 2026-03-23 Josh Miles , Sohom Bhattacharya