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There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, which by directly reasoning on prediction, bypasses inferential…

Statistics Theory · Mathematics 2024-11-22 Sandra Fortini , Sonia Petrone

The Bayesian approach provides powerful methods for variable selection. The ability to incorporate sparsity through prior beliefs and account for parameter uncertainty allows Bayesian variable selection to consistently identify which of the…

Methodology · Statistics 2026-03-05 Beniamino Hadj-Amar , Jack Jewson

Usually one compares the accuracy of two competing classifiers via null hypothesis significance tests (nhst). Yet the nhst tests suffer from important shortcomings, which can be overcome by switching to Bayesian hypothesis testing. We…

Machine Learning · Computer Science 2016-11-23 Giorgio Corani , Alessio Benavoli , Janez Demšar , Francesca Mangili , Marco Zaffalon

In oncology, phase II studies are crucial for clinical development plans as such studies identify potent agents with sufficient activity to continue development in the subsequent phase III trials. Traditionally, phase II studies are…

Methodology · Statistics 2023-08-08 Takuya Yoshimoto , Satoru Shinoda , Kouji Yamamoto , Kouji Tahata

In computational mechanics, multiple models are often present to describe a physical system. While Bayesian model selection is a helpful tool to compare these models using measurement data, it requires the computationally expensive…

Computation · Statistics 2025-04-14 Subhayan De , Reza Farzad , Patrick T. Brewick , Erik A. Johnson , Steven F. Wojtkiewicz

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

Statistics Theory · Mathematics 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

Machine Learning · Computer Science 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Shooting location is a core indicator of offensive style in invasion sports. Existing basketball shot-chart analyses often use spatial information for descriptive visualization, location-based efficiency modeling, or clustering players into…

Methodology · Statistics 2026-03-26 Kazuhiro Yamada , Keisuke Fujii

How much can a pitcher's body reveal about the upcoming pitch? We study this question at scale by classifying eight pitch types from monocular 3D pose sequences, without access to ball-flight data. Our pipeline chains a diffusion-based 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Jerrin Bright , Michelle Lu , John Zelek

In this paper, we develop a logistic regression model to estimate the probability that a particular shot in an NHL game will result in a goal, and use the results to evaluate the performance of NHL skaters, goalies, and teams. We weight…

Applications · Statistics 2012-05-09 Brian Macdonald , Craig Lennon , Rodney Sturdivant

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

Methodology · Statistics 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

The level set approach has proven widely successful in the study of inverse problems for interfaces, since its systematic development in the 1990s. Recently it has been employed in the context of Bayesian inversion, allowing for the…

Probability · Mathematics 2016-09-13 Matthew M. Dunlop , Marco A. Iglesias , Andrew M. Stuart

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

Methodology · Statistics 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

Predicting the winner of an election is of importance to multiple stakeholders. To formulate the problem, we consider an independent sequence of categorical data with a finite number of possible outcomes in each. The data is assumed to be…

Applications · Statistics 2024-10-17 Soudeep Deb , Rishideep Roy , Shubhabrata Das

Continuous-time assessments of game outcomes in sports have become increasingly common in the last decade. In American football, only discrete-time estimates of play value were possible, since the most advanced public football datasets were…

Evaluating sports players based on their performance shares core challenges with evaluating healthcare providers based on patient outcomes. Drawing on recent advances in healthcare provider profiling, we cast sports player evaluation within…

Applications · Statistics 2026-02-27 Herbert P. Susmann , Antonio D'Alessandro

Count data play a crucial role in sports analytics, providing valuable insights into various aspects of the game. Models that accurately capture the characteristics of count data are essential for making reliable inferences. In this paper,…

Methodology · Statistics 2024-09-26 Mauro Florez , Michele Guindani , Marina Vannucci

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

Methodology · Statistics 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

We propose a Bayesian nonparametric matrix clustering approach to analyze the latent heterogeneity structure in the shot selection data collected from professional basketball players in the National Basketball Association (NBA). The…

Methodology · Statistics 2020-10-19 Fan Yin , Guanyu Hu , Weining Shen