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We analyze theoretical properties of the hybrid test for superior predictability. We demonstrate with a simple example that the test may not be pointwise asymptotically of level $\alpha$ at commonly used significance levels and may lead to…

Econometrics · Economics 2021-09-13 Deborah Kim

Much research on Machine Learning testing relies on empirical studies that evaluate and show their potential. However, in this context empirical results are sensitive to a number of parameters that can adversely impact the results of the…

Software Engineering · Computer Science 2023-09-12 Salah Ghamizi , Maxime Cordy , Yuejun Guo , Mike Papadakis , And Yves Le Traon

Score-based divergences have been widely used in machine learning and statistics applications. Despite their empirical success, a blindness problem has been observed when using these for multi-modal distributions. In this work, we discuss…

Machine Learning · Statistics 2025-11-25 Mingtian Zhang , Oscar Key , Peter Hayes , David Barber , Brooks Paige , François-Xavier Briol

Binary observations are often repeated to improve data quality, creating technical replicates. Several scoring methods are commonly used to infer the actual individual state and obtain a probability for each state. The common practice of…

Methodology · Statistics 2025-01-24 Manuela Royer-Carenzi , Hadrien Lorenzo , Pierre Pudlo

An ongoing "reproducibility crisis" calls into question scientific discoveries across a variety of disciplines ranging from life to social sciences. Replication studies aim to investigate the validity of findings in published research, and…

Applications · Statistics 2023-05-09 Konstantinos Bourazas , Guido Consonni , Laura Deldossi

We examine the problem of construction of confidence intervals within the basic single-parameter, single-iteration variation of the method of quasi-optimal weights. Two kinds of distortions of such intervals due to insufficiently large…

Data Analysis, Statistics and Probability · Physics 2020-05-27 A. D. Morozov , A. V. Lokhov , F. V. Tkachov

The growing awareness of safety concerns in large language models (LLMs) has sparked considerable interest in the evaluation of safety. This study investigates an under-explored issue about the evaluation of LLMs, namely the substantial…

Computation and Language · Computer Science 2024-04-02 Yixu Wang , Yan Teng , Kexin Huang , Chengqi Lyu , Songyang Zhang , Wenwei Zhang , Xingjun Ma , Yu-Gang Jiang , Yu Qiao , Yingchun Wang

Clustering is part of unsupervised analysis methods that consist in grouping samples into homogeneous and separate subgroups of observations also called clusters. To interpret the clusters, statistical hypothesis testing is often used to…

Methodology · Statistics 2022-10-25 Benjamin Hivert , Denis Agniel , Rodolphe Thiébaut , Boris P Hejblum

We introduce equivalence testing procedures for linear regression analyses. Such tests can be very useful for confirming the lack of a meaningful association between a continuous outcome and a continuous or binary predictor. Specifically,…

Methodology · Statistics 2023-05-17 Harlan Campbell

This paper is concerned with the simultaneous estimation of $k$ population means when one suspects that the $k$ means are nearly equal. As an alternative to the preliminary test estimator based on the test statistics for testing hypothesis…

Statistics Theory · Mathematics 2018-09-13 Ryo Imai , Tatsuya Kubokawa , Malay Ghosh

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

Methodology · Statistics 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

Annotated datasets are an essential ingredient to train, evaluate, compare and productionalize supervised machine learning models. It is therefore imperative that annotations are of high quality. For their creation, good quality management…

Machine Learning · Computer Science 2024-05-30 Jan-Christoph Klie , Juan Haladjian , Marc Kirchner , Rahul Nair

The problem of binary hypothesis testing between two probability measures is considered. New sharp bounds are derived for the best achievable error probability of such tests based on independent and identically distributed observations.…

Information Theory · Computer Science 2024-05-30 Valentinian Lungu , Ioannis Kontoyiannis

Label noise in data has long been an important problem in supervised learning applications as it affects the effectiveness of many widely used classification methods. Recently, important real-world applications, such as medical diagnosis…

Machine Learning · Statistics 2021-12-02 Shunan Yao , Bradley Rava , Xin Tong , Gareth James

A common issue for classification in scientific research and industry is the existence of imbalanced classes. When sample sizes of different classes are imbalanced in training data, naively implementing a classification method often leads…

Methodology · Statistics 2021-07-02 Yang Feng , Min Zhou , Xin Tong

With their increasing size, large language models (LLMs) are becoming increasingly good at language understanding tasks. But even with high performance on specific downstream task, LLMs fail at simple linguistic tests for negation or…

Computation and Language · Computer Science 2023-12-01 Akshat Gupta

We derive a Bell-type inequality for observables with arbitrary spectra. For the case of continuous variable systems we propose a possible experimental violation of this inequality, by using squeezed light and homodyne detection together…

Quantum Physics · Physics 2009-02-24 E. Shchukin W. Vogel

Hypothesis tests under order restrictions arise in a wide range of scientific applications. By exploiting inequality constraints, such tests can achieve substantial gains in power and interpretability. However, these gains come at a cost:…

Methodology · Statistics 2026-02-18 Ori Davidov

The ability to accurately estimate the sample size required by a stepped-wedge (SW) cluster randomized trial (CRT) routinely depends upon the specification of several nuisance parameters. If these parameters are mis-specified, the trial…

Methodology · Statistics 2017-10-10 Michael Grayling , Adrian Mander , James Wason

Large Language Models (LLMs) are increasingly used to evaluate information retrieval (IR) systems, generating relevance judgments traditionally made by human assessors. Recent empirical studies suggest that LLM-based evaluations often align…

Information Retrieval · Computer Science 2026-01-21 Laura Dietz , Oleg Zendel , Peter Bailey , Charles Clarke , Ellese Cotterill , Jeff Dalton , Faegheh Hasibi , Mark Sanderson , Nick Craswell
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