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A new method is developed to represent probabilistic relations on multiple random events. Where previously knowledge bases containing probabilistic rules were used for this purpose, here a probability distribution over the relations is…

Artificial Intelligence · Computer Science 2013-02-08 Manfred Jaeger

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

Methodology · Statistics 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

In this paper we introduce a novel Bayesian approach for linking multiple social networks in order to discover the same real world person having different accounts across networks. In particular, we develop a latent model that allow us to…

Applications · Statistics 2018-08-15 Juan Sosa , Abel Rodriguez

A statistical estimation model with qualitative input provides a mechanism to fuse human intuition in the form of qualitative information into a statistical model. We investigate the statistical properties of this model and devise a…

Applications · Statistics 2025-10-21 Seksan Kiatsupaibul , Pariyakorn Maneekul

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

Methodology · Statistics 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

Approach-level models were developed to accommodate the diversity of approaches within the same intersection. A random effect term, which indicates the intersection-specific effect, was incorporated into each crash type model to deal with…

Applications · Statistics 2018-05-17 Xuesong Wang , Jinghui Yuan , Xiaohan Yang

This paper describes a Bayesian method for combining an arbitrary mixture of observational and experimental data in order to learn causal Bayesian networks. Observational data are passively observed. Experimental data, such as that produced…

Artificial Intelligence · Computer Science 2013-01-30 Gregory F. Cooper , Changwon Yoo

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

Methodology · Statistics 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

To construct models of large, multivariate complex systems, such as those in biology, one needs to constrain which variables are allowed to interact. This can be viewed as detecting "local" structures among the variables. In the context of…

Data Analysis, Statistics and Probability · Physics 2023-10-19 Mahajabin Rahman , Ilya Nemenman

We define a model for the joint distribution of multiple continuous latent variables which includes a model for how their correlations depend on explanatory variables. This is motivated by and applied to social scientific research questions…

Methodology · Statistics 2022-10-27 Siliang Zhang , Jouni Kuha , Fiona Steele

This study presents a generalization for a method examining the correlation function of an arbitrary system with interactions in an Ising model to obtain a value of correlation between two arbitrary points on a network. The establishment of…

General Physics · Physics 2017-06-13 Akira Saito

This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

Machine Learning · Statistics 2007-09-20 Longhai Li

Research in Cognitive Science suggests that humans understand and represent knowledge of the world through causal relationships. In addition to observations, they can rely on experimenting and counterfactual reasoning -- i.e. referring to…

Artificial Intelligence · Computer Science 2021-05-24 Kanvaly Fadiga , Etienne Houzé , Ada Diaconescu , Jean-Louis Dessalles

This note is concerned with an accurate and computationally efficient variational bayesian treatment of mixed-effects modelling. We focus on group studies, i.e. empirical studies that report multiple measurements acquired in multiple…

Machine Learning · Statistics 2019-03-22 Jean Daunizeau

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

This study introduces a novel model that effectively captures asymmetric structures in multivariate contingency tables with ordinal categories. Leveraging the principle of maximum entropy, our approach employs f-divergence to provide a…

Methodology · Statistics 2025-12-22 Hisaya Okahara , Kouji Tahata

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

Humans have a remarkable ability to make decisions by accurately reasoning about future events, including the future behaviors and states of mind of other agents. Consider driving a car through a busy intersection: it is necessary to reason…

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