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Bayesian statistics is an integral part of contemporary applied science. bayesics provides a single framework, unified in syntax and output, for performing the most commonly used statistical procedures, ranging from one- and two-sample…

Methodology · Statistics 2026-02-18 Daniel K. Sewell , Alan T. Arakkal

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

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

Increasing number of sectors which affect human lives, are using Machine Learning (ML) tools. Hence the need for understanding their working mechanism and evaluating their fairness in decision-making, are becoming paramount, ushering in the…

Machine Learning · Computer Science 2020-05-11 Sreejita Ghosh , Peter Tino , Kerstin Bunte

The comprehensive integration of machine learning healthcare models within clinical practice remains suboptimal, notwithstanding the proliferation of high-performing solutions reported in the literature. A predominant factor hindering…

Image and Video Processing · Electrical Eng. & Systems 2023-10-12 Ling Huang , Su Ruan , Yucheng Xing , Mengling Feng

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

Computational Physics · Physics 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu

The growing complexity of machine learning and deep learning models has led to an increased reliance on opaque "black box" systems, making it difficult to understand the rationale behind predictions. This lack of transparency is…

Machine Learning · Computer Science 2025-02-06 Pratinav Seth , Yashwardhan Rathore , Neeraj Kumar Singh , Chintan Chitroda , Vinay Kumar Sankarapu

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

Methodology · Statistics 2019-02-08 Fangzheng Xie , Yanxun Xu

In this paper, we present a visual analytics tool for enabling hypothesis-based evaluation of machine learning (ML) models. We describe a novel ML-testing framework that combines the traditional statistical hypothesis testing (commonly used…

Human-Computer Interaction · Computer Science 2020-08-28 Qianwen Wang , William Alexander , Jack Pegg , Huamin Qu , Min Chen

A key goal of empirical research in software engineering is to assess practical significance, which answers whether the observed effects of some compared treatments show a relevant difference in practice in realistic scenarios. Even though…

Software Engineering · Computer Science 2024-10-03 Richard Torkar , Carlo A. Furia , Robert Feldt , Francisco Gomes de Oliveira Neto , Lucas Gren , Per Lenberg , Neil A. Ernst

This paper develops new insights into quantitative methods for the validation of computational model prediction. Four types of methods are investigated, namely classical and Bayesian hypothesis testing, a reliability-based method, and an…

Data Analysis, Statistics and Probability · Physics 2012-06-25 You Ling , Sankaran Mahadevan

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

Methodology · Statistics 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

Students taking statistical courses orientated for business or economics often find the standard presentation of Bayes' Rule challenging. This key concept involves understanding multiple conditional probabilities and how they constitute an…

Applications · Statistics 2021-12-02 Edward D. White , Richard L. Warr

Parameter estimation and inference from complex survey samples typically focuses on global model parameters whose estimators have asymptotic properties, such as from fixed effects regression models. The central challenge is to both mitigate…

Methodology · Statistics 2026-05-13 Matthew R. Williams , F. Hunter McGuire , Terrance D. Savitsky

Researchers got success in mining the Web usage data effectively and efficiently. But representation of the mined patterns is often not in a form suitable for direct human consumption. Hence mechanisms and tools that can represent mined…

Human-Computer Interaction · Computer Science 2009-09-01 Ratnesh Kumar Jain , Dr. Suresh Jain , Dr. R. S. Kasana

How do classification models "see" our data? Based on their success in delineating behaviors, there must be some lens through which it is easy to see the boundary between classes; however, our current set of visualization techniques makes…

Machine Learning · Computer Science 2026-03-17 Christian Jorgensen , Arthur Y. Lin , Rhushil Vasavada , Rose K. Cersonsky

We harness the power of Bayesian emulation techniques, designed to aid the analysis of complex computer models, to examine the structure of complex Bayesian analyses themselves. These techniques facilitate robust Bayesian analyses and/or…

Methodology · Statistics 2017-03-06 Ian Vernon , John Paul Gosling

Assessing image aesthetics is a challenging computer vision task. One reason is that aesthetic preference is highly subjective and may vary significantly among people for certain images. Thus, it is important to properly model and quantify…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Hyeongnam Jang , Yeejin Lee , Jong-Seok Lee

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

Methodology · Statistics 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov
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