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For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the…

统计理论 · 数学 2022-02-17 Jack Noonan , Anatoly Zhigljavsky

It is frequently of interest to jointly analyze two paired sequences of multiple tests. This paper studies the problem of detecting whether there are more pairs of tests that are significant in both sequences than would be expected by…

统计方法学 · 统计学 2017-06-26 Sihai Dave Zhao , T. Tony Cai , Hongzhe Li

Exceptions allow developers to handle error cases expected to occur infrequently. Ideally, good test suites should test both normal and exceptional behaviors to catch more bugs and avoid regressions. While current research analyzes…

软件工程 · 计算机科学 2026-02-06 Andre Hora , Gordon Fraser

In a group testing scheme, a set of tests is designed to identify a small number $t$ of defective items that are present among a large number $N$ of items. Each test takes as input a group of items and produces a binary output indicating…

信息论 · 计算机科学 2016-11-17 Arya Mazumdar

This paper tackles the problem of the worst-class error rate, instead of the standard error rate averaged over all classes. For example, a three-class classification task with class-wise error rates of 10%, 10%, and 40% has a worst-class…

机器学习 · 统计学 2025-07-18 Yuya Saito , Shinnosuke Matsuo , Seiichi Uchida , Daiki Suehiro

We investigate a new fault ordering heuristic for test generation in full-scan circuits. The heuristic is referred to as the accidental detection index. It associates a value ADI (f) with every circuit fault f. The heuristic estimates the…

其他计算机科学 · 计算机科学 2011-11-09 Irith Pomeranz , Sudhakar M. Reddy

Goodness-of-fit tests are often used in data analysis to test the agreement of a distribution to a set of data. These tests can be used to detect an unknown signal against a known background or to set limits on a proposed signal…

统计方法学 · 统计学 2023-03-20 Lolian Shtembari , Allen Caldwell

We introduce a framework for statistical estimation that leverages knowledge of how samples are collected but makes no distributional assumptions on the data values. Specifically, we consider a population of elements $[n]={1,\ldots,n}$ with…

数据结构与算法 · 计算机科学 2020-10-27 Justin Y. Chen , Gregory Valiant , Paul Valiant

In this paper, we introduce a variation of the group testing problem capturing the idea that a positive test requires a combination of multiple ``types'' of item. Specifically, we assume that there are multiple disjoint \emph{semi-defective…

信息论 · 计算机科学 2024-05-10 Thach V. Bui , Jonathan Scarlett

Universal outlier hypothesis testing refers to a hypothesis testing problem where one observes a large number of length-$n$ sequences -- the majority of which are distributed according to the typical distribution $\pi$ and a small number…

信息论 · 计算机科学 2026-01-05 Bernhard C. Geiger , Tobias Koch , Josipa Mihaljević , Maximilian Toller

The testing phase is an essential part of software development, but manually creating test cases can be time-consuming. Consequently, there is a growing need for more efficient testing methods. To reduce the burden on developers, various…

软件工程 · 计算机科学 2025-12-15 Sasara Shimizu , Yoshiki Higo

Accurately evaluating model performance is crucial for deploying machine learning systems in real-world applications. Traditional methods often require a sufficiently large labeled test set to ensure a reliable evaluation. However, in many…

机器学习 · 计算机科学 2025-11-04 Hai Hoang Thanh , Duy-Tung Nguyen , Hung The Tran , Khoat Than

The performance of coverage-based fault localization greatly depends on the quality of test cases being executed. These test cases execute some lines of the given program and determine whether the underlying tests are passed or failed. In…

软件工程 · 计算机科学 2020-06-17 Shuvalaxmi Dass , Xiaozhen Xue , Akbar Siami Namin

Recent work has shown that deep generative models can assign higher likelihood to out-of-distribution data sets than to their training data (Nalisnick et al., 2019; Choi et al., 2019). We posit that this phenomenon is caused by a mismatch…

机器学习 · 统计学 2019-10-17 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Balaji Lakshminarayanan

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

统计方法学 · 统计学 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

Average-case analysis computes the complexity of an algorithm averaged over all possible inputs. Compared to worst-case analysis, it is more representative of the typical behavior of an algorithm, but remains largely unexplored in…

最优化与控制 · 数学 2021-10-05 Courtney Paquette , Bart van Merriënboer , Elliot Paquette , Fabian Pedregosa

We study the basic statistical problem of testing whether normally distributed $n$-dimensional data has been truncated, i.e. altered by only retaining points that lie in some unknown truncation set $S \subseteq \mathbb{R}^n$. As our main…

数据结构与算法 · 计算机科学 2024-11-25 Anindya De , Shivam Nadimpalli , Rocco A. Servedio

In model-based testing (MBT) we may have to deal with a non-deterministic model, e.g. because abstraction was applied, or because the software under test itself is non-deterministic. The same test case may then trigger multiple possible…

软件工程 · 计算机科学 2019-09-13 I. S. W. B. Prasetya , Rick Klomp

When $k$ factors each taking one of $v$ levels may affect the correctness or performance of a complex system, a test is selected by setting each factor to one of its levels and determining whether the system functions as expected (passes…

组合数学 · 数学 2021-01-06 Charles J. Colbourn , Bingli Fan , Daniel Horsley

Testing deep learning-based systems is crucial but challenging due to the required time and labor for labeling collected raw data. To alleviate the labeling effort, multiple test selection methods have been proposed where only a subset of…

机器学习 · 计算机科学 2023-08-03 Qiang Hu , Yuejun Guo , Xiaofei Xie , Maxime Cordy , Wei Ma , Mike Papadakis , Yves Le Traon