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Much of scientific data is collected as randomized experiments intervening on some and observing other variables of interest. Quite often, a given phenomenon is investigated in several studies, and different sets of variables are involved…

Methodology · Statistics 2012-10-19 Antti Hyttinen , Frederick Eberhardt , Patrik O. Hoyer

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

Machine Learning · Computer Science 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

We present a methodology for representing probabilistic relationships in a general-equilibrium economic model. Specifically, we define a precise mapping from a Bayesian network with binary nodes to a market price system where consumers and…

Computer Science and Game Theory · Computer Science 2013-02-18 David M. Pennock , Michael P. Wellman

Interaction within small groups can often be represented as a sequence of events, where each event involves a sender and a recipient. Recent methods for modeling network data in continuous time model the rate at which individuals interact…

Methodology · Statistics 2012-08-01 Christopher DuBois , Carter T. Butts , Daniel McFarland , Padhraic Smyth

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

Artificial Intelligence · Computer Science 2010-11-08 Jianguo Ding

Various measures in two-way contingency table analysis have been proposed to express the strength of association between row and column variables in contingency tables. Tomizawa et al. (2004) proposed more general measures, including…

Methodology · Statistics 2023-07-10 Wataru Urasaki , Tomoyuki Nakagawa , Tomotaka Momozaki , Sadao Tomizawa

We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

Artificial Intelligence · Computer Science 2016-09-13 Volker Tresp , Maximilian Nickel

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

Methodology · Statistics 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

A common problem in natural sciences is the comparison of competing models in the light of observed data. Bayesian model comparison provides a statistically sound framework for this comparison based on the evidence each model provides for…

Machine Learning · Statistics 2022-03-23 Jan Boelts

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

Applications · Statistics 2019-07-05 Ali Reza Fotouhi

Correlation analysis is a fundamental step in uncovering meaningful insights from complex datasets. In this paper, we study the problem of detecting correlations between two random graphs following the Gaussian Wigner model with unlabeled…

Statistics Theory · Mathematics 2025-05-21 Dong Huang , Pengkun Yang

In this paper I conceptualise a novel approach for capturing coincidences between events that have not necessarily an observed causal relationship. Building on the Transcendental Information Cascades approach I outline a tensor theory of…

Physics and Society · Physics 2019-11-19 Markus Luczak-Roesch

Research in transportation frequently involve modelling and predicting attributes of events that occur at regular intervals. The event could be arrival of a bus at a bus stop, the volume of a traffic at a particular point, the demand at a…

Machine Learning · Computer Science 2015-08-14 Narayanan U. Edakunni , Aditi Raghunathan , Abhishek Tripathi , John Handley , Fredric Roulland

Social contact matrices are essential tools in infectious disease epidemiology as they quantify close-range human contact patterns which directly drive the transmission of airborne infectious diseases. In this work we propose a Bayesian…

Methodology · Statistics 2026-05-11 Shozen Dan , David A. van Dyk , Zhi Ling , Swapnil Mishra , Oliver Ratmann

The simplicity of a question such as wondering if correlations characterize or not a certain system collides with the experimental difficulty of accessing such information. Here we present a low demanding experimental approach which refers…

The interplay between causal mechanisms and emerging collective behaviors is a central aspect of understanding, controlling, and predicting complex networked systems. In our work, we investigate the relationship between higher-order…

Although a system is described by a well-known set of equations leading to a deterministic behavior, in the real world the value of a measurand obtained by an experiment will mostly scatter. Accordingly, an uncertainty is associated with…

Data Analysis, Statistics and Probability · Physics 2019-06-24 Markus Schiebl

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

Many data sets contain an inherent multilevel structure, for example, because of repeated measurements of the same observational units. Taking this structure into account is critical for the accuracy and calibration of any statistical…

Methodology · Statistics 2020-05-07 Topi Paananen , Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari