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There is a growing need for investigating how machine learning models operate. With this work, we aim to understand trained machine learning models by questioning their data preferences. We propose a mathematical framework that allows us to…

Machine Learning · Computer Science 2025-12-22 Eren Mehmet Kıral , Nurşen Aydın , Ş. İlker Birbil

Large scale disease screening is a complicated process in which high costs must be balanced against pressing public health needs. When the goal is screening for infectious disease, one approach is group testing in which samples are…

Applications · Statistics 2021-03-02 Gregory Haber , Yaakov Malinovsky , Paul S. Albert

This paper describes a generalizable model evaluation method that can be adapted to evaluate AI/ML models across multiple criteria including core scientific principles and more practical outcomes. Emerging from prediction competitions in…

Machine Learning · Computer Science 2024-03-19 Jason L. Harman , Jaelle Scheuerman

A learning procedure takes as input a dataset and performs inference for the parameters $\theta$ of a model that is assumed to have given rise to the dataset. Here we consider learning procedures whose output is a probability distribution,…

Statistics Theory · Mathematics 2022-06-17 Jon Cockayne , Matthew M. Graham , Chris J. Oates , T. J. Sullivan , Onur Teymur

Sequence-based specification and usage-driven statistical testing are designed for rigorous and cost-effective software development, offering a semi-formal approach to assessing the behavior of complex systems and interactions between…

Software Engineering · Computer Science 2025-07-01 Seth Wolfgang , Lan Lin , Fengguang Song

Statistically resolving the underlying haplotype pair for a genotype measurement is an important intermediate step in gene mapping studies, and has received much attention recently. Consequently, a variety of methods for this problem have…

Machine Learning · Computer Science 2007-10-29 Matti Kääriäinen , Niels Landwehr , Sampsa Lappalainen , Taneli Mielikäinen

Context: The complexity of modern safety-critical systems in industries keep on increasing due to the rising number of features and functionalities. This calls for formal methods in order to entrust confidence in such systems. Nevertheless,…

Software Engineering · Computer Science 2021-08-17 Arut Prakash Kaleeswaran , Arne Nordmann , Thomas Vogel , Lars Grunske

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

Methodology · Statistics 2017-12-25 Jing Lei

We discuss a general approach to handling "multiple hypotheses" testing in the case when a particular hypothesis states that the vector of parameters identifying the distribution of observations belongs to a convex compact set associated…

Statistics Theory · Mathematics 2016-02-24 A. Goldenshluger , A. Juditski , A. Nemirovski

The usual way of testing probability forecasts in game-theoretic probability is via construction of test martingales. The standard assumption is that all forecasts are output by the same forecaster. In this paper I will discuss possible…

Methodology · Statistics 2024-03-19 Vladimir Vovk

Applied statistical problems often come with pre-specified groupings to predictors. It is natural to test for the presence of simultaneous group-wide signal for groups in isolation, or for multiple groups together. Classical tests for the…

Applications · Statistics 2015-11-25 Stephen Reid , Jonathan Taylor , Robert Tibshirani

The choice of model class is fundamental in statistical learning and system identification, no matter whether the class is derived from physical principles or is a generic black-box. We develop a method to evaluate the specified model class…

Machine Learning · Statistics 2017-12-20 Andreas Svensson , Dave Zachariah , Thomas B. Schön

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

Machine Learning · Statistics 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

Combining test statistics from independent trials or experiments is a popular method of meta-analysis. However, there is very limited theoretical understanding of the power of the combined test, especially in high-dimensional models…

Statistics Theory · Mathematics 2023-10-31 Botond Szabó , Aad van der Vaart , Lasse Vuursteen , Harry van Zanten

We consider the problem of testing the equality of conditional distributions of a response variable given a vector of covariates between two populations. Such a hypothesis testing problem can be motivated from various machine learning and…

Methodology · Statistics 2023-02-24 Xiaoyu Hu , Jing Lei

Predictive uncertainty estimation of pre-trained language models is an important measure of how likely people can trust their predictions. However, little is known about what makes a model prediction uncertain. Explaining predictive…

Computation and Language · Computer Science 2022-10-11 Hanjie Chen , Wanyu Du , Yangfeng Ji

Political scientists are increasingly interested in assessing causal mechanisms, or determining not just if a causal effect exists but also why it occurs. Even so, many researchers avoid formal causal mediation analyses due to their…

Applications · Statistics 2024-11-21 Matthew Blackwell , Ruofan Ma , Aleksei Opacic

A substantial school in the philosophy of science identifies Bayesian inference with inductive inference and even rationality as such, and seems to be strengthened by the rise and practical success of Bayesian statistics. We argue that the…

Statistics Theory · Mathematics 2013-02-21 Andrew Gelman , Cosma Rohilla Shalizi

Comparison studies in methodological research are intended to compare methods in an evidence-based manner to help data analysts select a suitable method for their application. To provide trustworthy evidence, they must be carefully…

Computational models of complex systems are usually elaborate and sensitive to implementation details, characteristics which often affect their verification and validation. Model replication is a possible solution to this issue. It avoids…

Other Computer Science · Computer Science 2017-01-09 Nuno Fachada , Vitor V. Lopes , Rui C. Martins , Agostinho C. Rosa