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There is a class of models for pol/mil/econ bargaining and conflict that is loosely based on the Median Voter Theorem which has been used with great success for about 30 years. However, there are fundamental mathematical limitations to…

Computer Science and Game Theory · Computer Science 2015-05-12 Ben Wise , Steven Bankes

Motivated by a study of United Nations voting behaviors, we introduce a regression model for a series of networks that are correlated over time. Our model is a dynamic extension of the additive and multiplicative effects network model…

Applications · Statistics 2023-03-23 Bomin Kim , Xiaoyue Niu , David R. Hunter , Xun Cao

Distortion-based analysis has established itself as a fruitful framework for comparing voting mechanisms. m voters and n candidates are jointly embedded in an (unknown) metric space, and the voters submit rankings of candidates by…

Computer Science and Game Theory · Computer Science 2019-12-17 David Kempe

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

Methodology · Statistics 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

Bayesian methods have been widely used in the last two decades to infer statistical properties of spatially variable coefficients in partial differential equations from measurements of the solutions of these equations. Yet, in many cases…

Numerical Analysis · Mathematics 2022-03-01 David Aristoff , Wolfgang Bangerth

We describe a new method for evaluating Bayes factors. The key idea is to introduce a hypermodel in which the competing models are components of a mixture distribution. Inference for the mixing probabilities then yields estimates of the…

Methodology · Statistics 2016-02-16 Philip D. O'Neill , Theodore Kypraios

Multivariate data that combine binary, categorical, count and continuous outcomes are common in the social and health sciences. We propose a semiparametric Bayesian latent variable model for multivariate data of arbitrary type that does not…

Applications · Statistics 2014-01-14 Jonathan Gruhl , Elena A. Erosheva , Paul K. Crane

Clustering is widely studied in statistics and machine learning, with applications in a variety of fields. As opposed to classical algorithms which return a single clustering solution, Bayesian nonparametric models provide a posterior over…

Methodology · Statistics 2019-02-11 Sara Wade , Zoubin Ghahramani

Roll call data are widely used to assess legislators' preferences and ideology, as well as test theories of legislative behavior. In particular, roll call data is often used to determine whether the revealed preferences of legislators are…

Applications · Statistics 2016-01-29 Chelsea Lofland , Abel Rodriguez , Scott Moser

Bayesian models that mix multiple Dirichlet prior parameters, called Multi-Dirichlet priors (MD) in this paper, are gaining popularity. Inferring mixing weights and parameters of mixed prior distributions seems tricky, as sums over…

Machine Learning · Statistics 2017-08-18 Christoph Carl Kling

In variety testing, multi-environment trials (MET) are essential for evaluating the genotypic performance of crop plants. A persistent challenge in the statistical analysis of MET data is the estimation of variance components, which are…

Methodology · Statistics 2026-04-20 Stephan Bark , Waqas Ahmed Malik , Maryna Prus , Hans-Peter Piepho , Volker Schmid

We explore the voter model dynamics on a directed random graph model ensemble (digraphs), given by the Directed Configuration Model. The voter model captures the evolution of opinions over time on a graph where each vertex represents an…

Probability · Mathematics 2024-07-10 Federico Capannoli

Influence among individuals is at the core of collective social phenomena such as the dissemination of ideas, beliefs or behaviors, social learning and the diffusion of innovations. Different mechanisms have been proposed to implement…

Physics and Society · Physics 2015-03-29 Toni Pérez , Juan Fernández-Gracia , Jose J. Ramasco , Víctor M. Eguíluz

In computational biology, gene expression datasets are characterized by very few individual samples compared to a large number of measurements per sample. Thus, it is appealing to merge these datasets in order to increase the number of…

Methodology · Statistics 2011-08-18 Meili Baragatti

We analyze the network of relations between parliament members according to their voting behavior. In particular, we examine the emergent community structure with respect to political coalitions and government alliances. We rely on tools…

Physics and Society · Physics 2015-06-22 Carlo Dal Maso , Gabriele Pompa , Michelangelo Puliga , Gianni Riotta , Alessandro Chessa

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

A central problem in analyzing networks is partitioning them into modules or communities. One of the best tools for this is the stochastic block model, which clusters vertices into blocks with statistically homogeneous pattern of links.…

Machine Learning · Statistics 2016-05-24 Xiaoran Yan

In nonlinear voter models the transitions between two states depend in a nonlinear manner on the frequencies of these states in the neighborhood. We investigate the role of these nonlinearities on the global outcome of the dynamics for a…

Statistical Mechanics · Physics 2009-04-05 Frank Schweitzer , Laxmidhar Behera

Gene-gene interactions are often regarded as playing significant roles in influencing variabilities of complex traits. Although much research has been devoted to this area, to date a comprehensive statistical model that addresses the…

Applications · Statistics 2018-04-18 Durba Bhattacharya , Sourabh Bhattacharya

For more than a decade, graphs have been used to model the voting behavior taking place in parliaments. However, the methods described in the literature suffer from several limitations. The two main ones are that 1) they rely on some…

Social and Information Networks · Computer Science 2020-01-07 Nejat Arinik , Rosa Figueiredo , Vincent Labatut