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Metric learning aims at finding a suitable distance metric over the input space, to improve the performance of distance-based learning algorithms. In high-dimensional settings, it can also serve as dimensionality reduction by imposing a…

机器学习 · 计算机科学 2024-04-16 Efstratios Palias , Ata Kabán

In this paper, we provide a statistical testing framework to check whether a random sample splitting in a multi-dimensional space is carried out in a valid way, which could be directly applied to A/B testing and multivariate testing to…

统计方法学 · 统计学 2018-10-11 Jing Miao , Hongyuan Yuan , Zhenyu Yan

We study the equivalence testing problem where the goal is to determine if the given two unknown distributions on $[n]$ are equal or $\epsilon$-far in the total variation distance in the conditional sampling model (CFGM, SICOMP16; CRS,…

数据结构与算法 · 计算机科学 2023-08-23 Diptarka Chakraborty , Sourav Chakraborty , Gunjan Kumar

Metrics for measuring the comparability of corpora or texts need to be developed and evaluated systematically. Applications based on a corpus, such as training Statistical MT systems in specialised narrow domains, require finding a…

计算与语言 · 计算机科学 2014-04-16 Bogdan Babych , Anthony Hartley

Causal variables in Markov boundary (MB) have been widely applied in extensive single-label tasks. While few researches focus on the causal variable discovery in multi-label data due to the complex causal relationships. Since some variables…

机器学习 · 计算机科学 2020-11-10 Xingyu Wu , Bingbing Jiang , Yan Zhong , Huanhuan Chen

A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

数据分析、统计与概率 · 物理学 2018-01-09 Jan Kieseler

Statistical methodology plays a crucial role in drug regulation. Decisions by the FDA or EMA are typically made based on multiple primary studies testing the same medical product, where the two-trials rule is the standard requirement,…

统计方法学 · 统计学 2022-11-08 Leonhard Held

This paper investigates the utilization of maximum and average distance correlations for multivariate independence testing. We characterize their consistency properties in high-dimensional settings with respect to the number of marginally…

机器学习 · 统计学 2025-06-11 Cencheng Shen , Yuexiao Dong

Computing the marginal likelihood or evidence is one of the core challenges in Bayesian analysis. While there are many established methods for estimating this quantity, they predominantly rely on using a large number of posterior samples…

统计计算 · 统计学 2021-02-26 Eric Chuu , Debdeep Pati , Anirban Bhattacharya

Clinical trials often involve the assessment of multiple endpoints to comprehensively evaluate the efficacy and safety of interventions. In the work, we consider a global nonparametric testing procedure based on multivariate rank for the…

统计方法学 · 统计学 2023-06-29 Kexuan Li , Lingli Yang , Shaofei Zhao , Susie Sinks , Luan Lin , Peng Sun

We propose a framework for testing the homogeneity of conditional average treatment effects (CATEs) across multiple experimental and observational studies. Our approach leverages multiple randomized trials to assess whether treatment…

计量经济学 · 经济学 2026-02-25 Ana Armendariz , Martin Huber

Given two relations containing multiple measurements - possibly with uncertainties - our objective is to find which sets of attributes from the first have a corresponding set on the second, using exclusively a sample of the data. This…

数据库 · 计算机科学 2022-07-20 Alejandro Alvarez-Ayllon , Manuel Palomo-Duarte , Juan-Manuel Dodero

We test the hypothesis that simulataneous linear contrasts of multiple variance components equal zero in a Gaussian variance components model via a parametric bootstrap. Applications include but are not limited to nested and crossed…

统计方法学 · 统计学 2026-04-29 Alex Stringer , Jeffrey Negrea

This research seeks to benefit the software engineering society by proposing comparative separation, a novel group fairness notion to evaluate the fairness of machine learning software on comparative judgment test data. Fairness issues have…

软件工程 · 计算机科学 2026-01-13 Xiaoyin Xi , Neeku Capak , Kate Stockwell , Zhe Yu

Matrix-valued data, where each observation is represented as a matrix, frequently arises in various scientific disciplines. Modeling such data often relies on matrix-variate normal distributions, making matrix-variate normality testing…

统计方法学 · 统计学 2025-05-02 Fen Jiang , Jianhua Zhao , Changchun Shang , Xuan Ma , Yue Wang , Ye Tao

Testing whether two multivariate samples exhibit the same extremal behavior is an important problem in various fields including environmental and climate sciences. While several ad-hoc approaches exist in the literature, they often lack…

统计理论 · 数学 2026-02-03 Sebastian Engelke , Philippe Naveau , Chen Zhou

Statistical tests that compare classification algorithms are univariate and use a single performance measure, e.g., misclassification error, $F$ measure, AUC, and so on. In multivariate tests, comparison is done using multiple measures…

机器学习 · 统计学 2014-09-17 Olcay Taner Yildiz , Ethem Alpaydin

Multi-label classification deals with the problem where each instance is associated with multiple class labels. Because evaluation in multi-label classification is more complicated than single-label setting, a number of performance measures…

机器学习 · 计算机科学 2020-07-07 Xi-Zhu Wu , Zhi-Hua Zhou

After rejecting the null hypothesis in the analysis of variance, the next step is to make the pairwise comparisons to find out differences in means. The purpose of this paper is threefold. The foremost aim is to suggest expression for…

统计方法学 · 统计学 2023-06-22 Elsayed A. H. Elamir

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

计量经济学 · 经济学 2023-10-11 Zhenting Sun