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Deep neural networks (DNNs) have a wide range of applications, and software employing them must be thoroughly tested, especially in safety-critical domains. However, traditional software test coverage metrics cannot be applied directly to…

机器学习 · 计算机科学 2019-04-16 Youcheng Sun , Xiaowei Huang , Daniel Kroening , James Sharp , Matthew Hill , Rob Ashmore

Testing hypotheses of goodness-of-fit about mixture distributions on the basis of independent but not necessarily identically distributed random vectors is considered. The hypotheses are given by a specific distribution or by a family of…

统计理论 · 数学 2016-04-21 Daniel Gaigall

We have a large number of samples and we want to find the infected ones using as few number of tests as possible. We can use group testing which tells about a small group of people whether at least one of them is infected. Group testing is…

定量方法 · 定量生物学 2020-05-07 Endre Csóka

Over time, clinical trials have increasingly incorporated complex design and analysis elements such as interim analyses, adaptations, multiple endpoints, and sophisticated multiplicity schemes for multiple endpoints and/or treatment arms…

The present communication addresses a set of observations, obeying both deterministic as well as statistical formal requirements, and serving to operate within the framework of the dynamical systems theory, with a certain emphasis placed on…

物理与社会 · 物理学 2017-06-30 Adam Gadomski , Marcel Ausloos , Tahlia Casey

For many graph-related problems, it can be essential to have a set of structurally diverse graphs. For instance, such graphs can be used for testing graph algorithms or their neural approximations. However, to the best of our knowledge, the…

机器学习 · 计算机科学 2024-12-13 Fedor Velikonivtsev , Mikhail Mironov , Liudmila Prokhorenkova

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

统计方法学 · 统计学 2021-04-28 Sean van der Merwe

The object of study is the problem of testing for uniformity of the multinomial distribution. We consider tests based on symmetric statistics, defined as the sum of some function of cell-frequencies. Mainly, attention is focused on the…

统计理论 · 数学 2022-09-12 Sherzod M. Mirakhmedov

We report our ongoing work about a new deep architecture working in tandem with a statistical test procedure for jointly training texts and their label descriptions for multi-label and multi-class classification tasks. A statistical…

计算与语言 · 计算机科学 2019-06-18 Ahmad Aghaebrahimian , Mark Cieliebak

Medical imaging is an essential tool for diagnosing various healthcare diseases and conditions. However, analyzing medical images is a complex and time-consuming task that requires expertise and experience. This article aims to design a…

图像与视频处理 · 电气工程与系统科学 2023-05-15 Ayyub Alzahem , Shahid Latif , Wadii Boulila , Anis Koubaa

We suggest a dependence coefficient between a categorical variable and some general variable taking values in a metric space. We derive important theoretical properties and study the large sample behaviour of our suggested estimator.…

统计理论 · 数学 2025-10-03 Siegfried Hörmann , Daniel Strenger-Galvis

Integration at a point is a new kind of integration derived from integration over an interval in infinitesimal and infinity domains which are spaces larger than the reals. Consider a continuous monotonic divergent function that is…

综合数学 · 数学 2015-03-04 Chelton D. Evans , William K. Pattinson

We consider a problem of data integration. Consider determining which genes affect a disease. The genes, which we call predictor objects, can be measured in different experiments on the same individual. We address the question of finding…

机器学习 · 统计学 2016-10-04 Xin Gao , Raymond J. Carroll

Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Masoumeh Javanbakhat , Piotr Komorowski , Dilyara Bareeva , Wei-Chang Lai , Wojciech Samek , Christoph Lippert

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

统计方法学 · 统计学 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

We propose a simple yet powerful test statistic to quantify the discrepancy between two conditional distributions. The new statistic avoids the explicit estimation of the underlying distributions in highdimensional space and it operates on…

机器学习 · 计算机科学 2021-01-01 Shujian Yu , Ammar Shaker , Francesco Alesiani , Jose C. Principe

We introduce derangetropy, a novel functional measure designed to characterize the dynamics of information within probability distributions. Unlike scalar measures such as Shannon entropy, derangetropy offers a functional representation…

信息论 · 计算机科学 2025-06-17 Masoud Ataei , Xiaogang Wang

Network meta-analysis of diagnostic test accuracy (NMA-DTA) is a relatively new field, involving combining evidence across studies to evaluate and compare the accuracy of different tests for a given condition. However, the methods proposed…

统计方法学 · 统计学 2026-04-23 Efthymia Derezea , Gabriel Rogers , Nicky J Welton , Hayley E Jones

We consider a new group testing model wherein each item is a binary random variable defined by an a priori probability of being defective. We assume that each probability is small and that items are independent, but not necessarily…

信息论 · 计算机科学 2018-07-24 Tongxin Li , Chun Lam Chan , Wenhao Huang , Tarik Kaced , Sidharth Jaggi

Distance metric learning is a branch of machine learning that aims to learn distances from the data, which enhances the performance of similarity-based algorithms. This tutorial provides a theoretical background and foundations on this…

机器学习 · 计算机科学 2020-08-20 Juan Luis Suárez-Díaz , Salvador García , Francisco Herrera