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Multi-sensor data fusion technology plays an important role in real applications. Because of the flexibility and effectiveness in modelling and processing the uncertain information regardless of prior probabilities, Dempster-Shafer evidence…

Artificial Intelligence · Computer Science 2018-06-06 Fuyuan Xiao

Motivated by examples from genetic association studies, this paper considers the model selection problem in a general complex linear model system and in a Bayesian framework. We discuss formulating model selection problems and incorporating…

Methodology · Statistics 2014-03-14 Xiaoquan Wen

Analysis of DNA samples is an important step in forensics, and the speed of analysis can impact investigations. Comparison of DNA sequences is based on the analysis of short tandem repeats (STRs), which are short DNA sequences of 2-5 base…

Performance · Computer Science 2018-03-07 Siddharth Samsi , Brian Helfer , Jeremy Kepner , Albert Reuther , Darrell O. Ricke

Good large sample performance is typically a minimum requirement of any model selection criterion. This article focuses on the consistency property of the Bayes factor, a commonly used model comparison tool, which has experienced a recent…

Statistics Theory · Mathematics 2016-07-04 Siddhartha Chib , Todd A. Kuffner

Bayesian inference, while foundational to probabilistic reasoning, is often hampered by the computational intractability of posterior distributions, particularly through the challenging evidence integral. Conventional approaches like Markov…

Machine Learning · Computer Science 2025-11-11 Di Zhang

This paper considers the problem of model selection within the context of finite element model updating. Given that a number of FEM updating models, with different updating parameters, can be designed, this paper proposes using the Bayesian…

Computation · Statistics 2008-10-16 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

We consider integrative modeling of multiple gene networks and diverse genomic data, including protein-DNA binding, gene expression and DNA sequence data, to accurately identify the regulatory target genes of a transcription factor (TF).…

Applications · Statistics 2012-03-21 Peng Wei , Wei Pan

When computer codes are used for modeling complex physical systems, their unknown parameters are tuned by calibration techniques. A discrepancy function may be added to the computer code in order to capture its discrepancy with the real…

Methodology · Statistics 2019-03-11 Kaniav Kamary , Merlin Keller , Pierre Barbillon , Cédric Gœury , Éric Parent

Violations of the parallel trends assumption pose significant challenges for causal inference in difference-in-differences (DiD) studies, especially in policy evaluations where pre-treatment dynamics and external shocks may bias estimates.…

Methodology · Statistics 2025-08-06 Seong Woo Han , Nandita Mitra , Gary Hettinger , Arman Oganisian

In processing and manufacturing industries, there has been a large push to produce higher quality products and ensure maximum efficiency of processes. This requires approaches to effectively detect and resolve disturbances to ensure optimal…

Machine Learning · Statistics 2021-02-05 Weike Sun , Antonio R. C. Paiva , Peng Xu , Anantha Sundaram , Richard D. Braatz

Using recent results on the occurrence times of a string of symbols in a stochastic process with mixing properties, we present a new method for the search of rare words in biological sequences generally modelled by a Markov chain. We obtain…

Probability · Mathematics 2007-11-16 Nicolas Vergne , Miguel Abadi

There has recently been considerable interest in addressing the problem of unifying distributed statistical analyses into a single coherent inference. This problem naturally arises in a number of situations, including in big-data settings,…

Methodology · Statistics 2021-02-04 Hongsheng Dai , Murray Pollock , Gareth Roberts

Pre-main sequence (PMS) models provide invaluable tools for the study of star forming regions as they allow to assign masses and ages to young stars. Thus it is of primary importance to test the models against observations of PMS stars with…

Solar and Stellar Astrophysics · Physics 2015-05-30 Mario Gennaro , Pier Giorgio Prada Moroni , Emanuele Tognelli

Robust analysis of coauthorship networks is based on high quality data. However, ground-truth data are usually unavailable. Empirical data suffer several types of errors, a typical one of which is called merging error, identifying different…

Physics and Society · Physics 2018-12-27 Zheng Xie

There is a rich literature on Bayesian methods for density estimation, which characterize the unknown density as a mixture of kernels. Such methods have advantages in terms of providing uncertainty quantification in estimation, while being…

Methodology · Statistics 2024-04-10 Shounak Chattopadhyay , Antik Chakraborty , David B. Dunson

Bayesian inference methods are useful in infectious diseases modeling due to their capability to propagate uncertainty, manage sparse data, incorporate latent structures, and address high-dimensional parameter spaces. However, parameter…

Methodology · Statistics 2025-04-29 Xiahui Li , Fergus Chadwick , Ben Swallow

A fully Bayesian approach is proposed for ultrahigh-dimensional nonparametric additive models in which the number of additive components may be larger than the sample size, though ideally the true model is believed to include only a small…

Methodology · Statistics 2013-09-24 Zuofeng Shang , Ping Li

In this work we develop and implement a novel Bayesian method for computing the DOS of a system. This method is based on the use of a test function with adjustable parameters and we use Bayes theorem to find the best parameters given a…

Statistical Mechanics · Physics 2021-12-28 Felipe Moreno , Sergio Davis , Joaquín Peralta

The persistent issue of wrongful convictions in the United States emphasizes the need for scrutiny and improvement of the criminal justice system. While statistical methods for the evaluation of forensic evidence, including glass,…

Applications · Statistics 2024-03-25 Xiangyu Xu , Giuseppe Vinci

Mediation analysis with contemporaneously observed multiple mediators is an important area of causal inference. Recent approaches for multiple mediators are often based on parametric models and thus may suffer from model misspecification.…

Methodology · Statistics 2022-08-30 Samrat Roy , Michael J. Daniels , Brendan J. Kelly , Jason Roy