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We study the problem of testing discrete distributions with a focus on the high probability regime. Specifically, given samples from one or more discrete distributions, a property $\mathcal{P}$, and parameters $0< \epsilon, \delta <1$, we…

Data Structures and Algorithms · Computer Science 2020-09-15 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , John Peebles , Eric Price

Measuring testability early in the development life cycle especially at design phase is a criterion of crucial importance to software designers, developers, quality controllers and practitioners. However, most of the mechanism available for…

Software Engineering · Computer Science 2015-03-19 M. H. Khan Abdullah , Reena Srivastava

In predictive modeling, overfitting poses a significant risk, particularly when the feature count surpasses the number of observations, a common scenario in high-dimensional data sets. To mitigate this risk, feature selection is employed to…

General Economics · Economics 2024-11-04 Mahdi Goldani , Soraya Asadi Tirvan

With the increasing popularity of continuous integration, algorithms for selecting the minimal test-suite to cover a given set of changes are in order. This paper reports on how polymorphism can handle false negatives in a previous…

Software Engineering · Computer Science 2014-12-15 Ali Parsai , Quinten David Soetens , Alessandro Murgia , Serge Demeyer

This paper concerns a method of testing equality of distribution of random convex compact sets and the way how to use the test to distinguish between two realisations of general random sets. The family of metrics on the space of…

Statistics Theory · Mathematics 2018-01-09 Vesna Gotovac , Kateřina Helisová

It is widely known in the machine learning community that class noise can be (and often is) detrimental to inducing a model of the data. Many current approaches use a single, often biased, measurement to determine if an instance is noisy. A…

Machine Learning · Statistics 2014-03-11 Michael R. Smith , Tony Martinez

Multidimensional scaling (MDS) is the act of embedding proximity information about a set of $n$ objects in $d$-dimensional Euclidean space. As originally conceived by the psychometric community, MDS was concerned with embedding a fixed set…

Machine Learning · Statistics 2024-12-12 Michael W. Trosset , Carey E. Priebe

The innovation process is always required to produce more advanced technology and increasing productivity. PDM (Probes Distance Meter) comes as a technological innovation in measurement, PDM is a digital distance measuring instrument uses a…

Instrumentation and Detectors · Physics 2016-12-28 Ridlo Qomarrullah , Abdurrachman Mappuji , Wahyu Apriliyanto , Ahmad Harist Julianto , Farahiyah Syarafina , Iswandi

Formal methods for verification of programs are extended to testing of programs. Their combination is intended to lead to benefits in reliable program development, testing, and evolution. Our geometric theory of testing is intended to serve…

Software Engineering · Computer Science 2022-06-07 Bernhard Moller , Tony Hoare , Zhe Hou , Jin Song Dong

Group sequential design (GSD) is widely used in clinical trials in which correlated tests of multiple hypotheses are used. Multiple primary objectives resulting in tests with known correlations include evaluating 1) multiple experimental…

Methodology · Statistics 2021-03-22 Keaven M. Anderson , Zifang Guo , Jing Zhao , Linda Z. Sun

Private closeness testing asks to decide whether the underlying probability distributions of two sensitive datasets are identical or differ significantly in statistical distance, while guaranteeing (differential) privacy of the data. As in…

Data Structures and Algorithms · Computer Science 2023-09-14 Clément L. Canonne , Yucheng Sun

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

Information Theory · Computer Science 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

Diversity maximization is an important geometric optimization problem with many applications in recommender systems, machine learning or search engines among others. A typical diversification problem is as follows: Given a finite metric…

Discrete Mathematics · Computer Science 2018-09-26 Alfonso Cevallos , Friedrich Eisenbrand , Sarah Morell

We explore the minimax optimality of goodness-of-fit tests on general domains using the kernelized Stein discrepancy (KSD). The KSD framework offers a flexible approach for goodness-of-fit testing, avoiding strong distributional…

Statistics Theory · Mathematics 2025-01-24 Omar Hagrass , Bharath Sriperumbudur , Krishnakumar Balasubramanian

\textit{Background:} The use of large language models in software testing is growing fast as they support numerous tasks, from test case generation to automation, and documentation. However, their adoption often relies on informal…

Software Engineering · Computer Science 2025-10-21 Maria Deolinda Santana , Cleyton Magalhaes , Ronnie de Souza Santos

Computing devices and associated software govern everyday life, and form the backbone of safety critical systems in banking, healthcare, automotive and other fields. Increasing system complexity, quickly evolving technologies and paradigm…

Software Engineering · Computer Science 2020-09-04 Arthur-Jozsef Molnar , Alexandra Neamţu , Simona Motogna

Having a precise vulnerability discovery model (VDM) would provide a useful quantitative insight to assess software security. Thus far, several models have been proposed with some evidence supporting their goodness-of-fit. In this work we…

Cryptography and Security · Computer Science 2012-03-28 Viet Hung Nguyen , Fabio Massacci

Discrimination mitigation within machine learning (ML) models could be complicated because multiple factors may be interwoven hierarchically and historically. Yet few existing fairness measures can capture the discrimination level within ML…

Machine Learning · Computer Science 2025-05-20 Yijun Bian , Yujie Luo , Ping Xu

The sequential multiple testing problem is considered under two generalized error metrics. Under the first one, the probability of at least $k$ mistakes, of any kind, is controlled. Under the second, the probabilities of at least $k_1$…

Statistics Theory · Mathematics 2019-02-18 Yanglei Song , Georgios Fellouris

Introduction: Taxonomies capture knowledge about a particular domain in a succinct manner and establish a common understanding among peers. Researchers use taxonomies to convey information about a particular knowledge area or to support…

Software Engineering · Computer Science 2024-03-06 Michael Unterkalmsteiner , Waleed Abdeen
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