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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

A lot of Machine Learning (ML) and Deep Learning (DL) research is of an empirical nature. Nevertheless, statistical significance testing (SST) is still not widely used. This endangers true progress, as seeming improvements over a baseline…

Machine Learning · Computer Science 2022-04-15 Dennis Ulmer , Christian Hardmeier , Jes Frellsen

Automated machine learning (AutoML) systems aim to enable training machine learning (ML) models for non-ML experts. A shortcoming of these systems is that when they fail to produce a model with high accuracy, the user has no path to improve…

Machine Learning · Computer Science 2021-02-23 Behnaz Arzani , Kevin Hsieh , Haoxian Chen

We propose a framework to construct practical kernel-based two-sample tests from the family of $f$-divergences. The test statistic is computed from the witness function of a regularized variational representation of the divergence, which we…

Machine Learning · Statistics 2026-01-28 Mónica Ribero , Antonin Schrab , Arthur Gretton

The estimation of an f-divergence between two probability distributions based on samples is a fundamental problem in statistics and machine learning. Most works study this problem under very weak assumptions, in which case it is provably…

Machine Learning · Statistics 2019-10-25 Paul K. Rubenstein , Olivier Bousquet , Josip Djolonga , Carlos Riquelme , Ilya Tolstikhin

When monitoring machine learning systems, two-sample tests of homogeneity form the foundation upon which existing approaches to drift detection build. They are used to test for evidence that the distribution underlying recent deployment…

Machine Learning · Statistics 2022-08-03 Oliver Cobb , Arnaud Van Looveren

Two-sample tests are important areas aiming to determine whether two collections of observations follow the same distribution or not. We propose two-sample tests based on integral probability metric (IPM) for high-dimensional samples…

Machine Learning · Statistics 2023-04-21 Jie Wang , Minshuo Chen , Tuo Zhao , Wenjing Liao , Yao Xie

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Software testing is an essential part of the software lifecycle and requires a substantial amount of time and effort. It has been estimated that software developers spend close to 50% of their time on testing the code they write. For these…

Software Engineering · Computer Science 2020-02-20 Cody Watson , Michele Tufano , Kevin Moran , Gabriele Bavota , Denys Poshyvanyk

The zeitgeist of the digital era has been dominated by an expanding integration of Artificial Intelligence~(AI) in a plethora of applications across various domains. With this expansion, however, questions of the safety and reliability of…

Artificial Intelligence · Computer Science 2023-12-19 Al-Harith Farhad , Ioannis Sorokos , Mohammed Naveed Akram , Koorosh Aslansefat , Daniel Schneider

Kernel two-sample tests have been widely used for multivariate data to test equality of distributions. However, existing tests based on mapping distributions into a reproducing kernel Hilbert space mainly target specific alternatives and do…

Methodology · Statistics 2023-11-21 Hoseung Song , Hao Chen

In this article, we introduce a novel discrepancy called the maximum variance discrepancy for the purpose of measuring the difference between two distributions in Hilbert spaces that cannot be found via the maximum mean discrepancy. We also…

Statistics Theory · Mathematics 2020-12-08 Natsumi Makigusa

Randomized algorithms depend on accurate sampling from probability distributions, as their correctness and performance hinge on the quality of the generated samples. However, even for common distributions like Binomial, exact sampling is…

Computation · Statistics 2025-06-17 Uddalok Sarkar , Sourav Chakraborty , Kuldeep S. Meel

Adapting to dynamic data distributions is a practical yet challenging task. One effective strategy is to use a model ensemble, which leverages the diverse expertise of different models to transfer knowledge to evolving data distributions.…

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

Methodology · Statistics 2023-10-03 Dan D. Erdmann-Pham

This paper describes an R package implementing large sample tests and confidence intervals (based on the central limit theorem) for various parameters. The one and two sample mean and variance contexts are considered. The statistics for all…

The surge in digitized text data requires reliable inferential methods on observed textual patterns. This article proposes a novel two-sample text test for comparing similarity between two groups of documents. The hypothesis is whether the…

Machine Learning · Statistics 2025-05-09 Jingbin Xu , Chen Qian , Meimei Liu , Feng Guo

The basic underlying assumption of machine learning (ML) models is that the training and test data are sampled from the same distribution. However, in daily practice, this assumption is often broken, i.e. the distribution of the test data…

Computation and Language · Computer Science 2026-01-16 Adriana Valentina Costache , Silviu Florin Gheorghe , Eduard Gabriel Poesina , Paul Irofti , Radu Tudor Ionescu

Comparing different AutoML frameworks is notoriously challenging and often done incorrectly. We introduce an open and extensible benchmark that follows best practices and avoids common mistakes when comparing AutoML frameworks. We conduct a…

We study distribution-free property testing and learning problems where the unknown probability distribution is a product distribution over $\mathbb{R}^d$. For many important classes of functions, such as intersections of halfspaces,…

Data Structures and Algorithms · Computer Science 2021-11-17 Nathaniel Harms , Yuichi Yoshida