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Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Equilibrium sampling of biomolecules remains an unmet challenge after more than 30 years of atomistic simulation. Efforts to enhance sampling capability, which are reviewed here, range from the development of new algorithms to…

Biomolecules · Quantitative Biology 2010-09-16 Daniel M. Zuckerman

Compiler optimization techniques are inherently complex, and rigorous testing of compiler optimization implementation is critical. Recent years have witnessed the emergence of testing approaches for uncovering incorrect optimization bugs,…

Software Engineering · Computer Science 2025-04-08 Jingwen Wu , Jiajing Zheng , Zhenyu Yang , Zhongxing Yu

We compare automatically and manually parallelized NAS Benchmarks in order to identify code sections that differ. We discuss opportunities for advancing automatic parallelizers. We find ten patterns that pose challenges for current…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Parinaz Barakhshan , Rudolf Eigenmann

We show that every algorithm for testing $n$-variate Boolean functions for monotonicity must have query complexity $\tilde{\Omega}(n^{1/4})$. All previous lower bounds for this problem were designed for non-adaptive algorithms and, as a…

Computational Complexity · Computer Science 2015-11-17 Aleksandrs Belovs , Eric Blais

Adaptivity is known to play a crucial role in property testing. In particular, there exist properties for which there is an exponential gap between the power of \emph{adaptive} testing algorithms, wherein each query may be determined by the…

Data Structures and Algorithms · Computer Science 2017-02-21 Clement Canonne , Tom Gur

Quantum programs exhibit inherent non-deterministic behavior, which poses more significant challenges for error discovery compared to classical programs. While several testing methods have been proposed for quantum programs, they often…

Software Engineering · Computer Science 2024-05-27 Peixun Long , Jianjun Zhao

Static code analysis tools are designed to aid software developers to build better quality software in less time, by detecting defects early in the software development life cycle. Even the most experienced developer regularly introduces…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Manuel Arenaz , Xavier Martorell

We propose novel kernel-based tests for assessing the equivalence between distributions. Traditional goodness-of-fit testing is inappropriate for concluding the absence of distributional differences, because failure to reject the null…

Machine Learning · Statistics 2026-03-17 Xing Liu , Axel Gandy

Equivalence testing plays a key role in several domains, such as the development of generic medical products, which are therapeutically equivalent to brand-name drugs but with reduced cost and increased accessibility. Promoting access to…

Methodology · Statistics 2025-07-31 Luca Insolia , Yanyuan Ma , Younes Boulaguiem , Stéphane Guerrier

In the problem of high-dimensional convexity testing, there is an unknown set $S \subseteq \mathbb{R}^n$ which is promised to be either convex or $\varepsilon$-far from every convex body with respect to the standard multivariate normal…

Computational Complexity · Computer Science 2017-06-29 Xi Chen , Adam Freilich , Rocco A. Servedio , Timothy Sun

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

Methodology · Statistics 2022-05-30 Hoseung Song , Hao Chen

We investigate the statistical task of closeness (or equivalence) testing for multidimensional distributions. Specifically, given sample access to two unknown distributions $\mathbf p, \mathbf q$ on $\mathbb R^d$, we want to distinguish…

Data Structures and Algorithms · Computer Science 2023-11-23 Ilias Diakonikolas , Daniel M. Kane , Sihan Liu

A new approach to adaptive design of clinical trials is proposed in a general multiparameter exponential family setting, based on generalized likelihood ratio statistics and optimal sequential testing theory. These designs are easy to…

Statistics Theory · Mathematics 2011-05-25 Jay Bartroff , Tze Leung Lai

We propose the concept of adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on direct ways of controlling the behavior and location…

Logic in Computer Science · Computer Science 2015-07-01 Mario Bravetti , Cinzia Di Giusto , Jorge A Perez , Gianluigi Zavattaro

In group testing, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether any defective item is present. This problem is relevant in areas such as medical testing, data…

Information Theory · Computer Science 2020-11-11 Nelvin Tan , Jonathan Scarlett

Equivalence testing compares the hypothesis that an effect $\mu$ is large against the alternative that it is negligible. Here, `large' is classically expressed as being larger than some `equivalence margin' $\Delta$. A longstanding problem…

Statistics Theory · Mathematics 2026-03-18 Stan Koobs , Nick W. Koning

Checking two probabilistic automata for equivalence has been shown to be a key problem for efficiently establishing various behavioural and anonymity properties of probabilistic systems. In recent experiments a randomised equivalence test…

Formal Languages and Automata Theory · Computer Science 2012-01-09 Stefan Kiefer , Andrzej S. Murawski , Joël Ouaknine , Björn Wachter , James Worrell

We consider the problem of testing distribution identity. Given a sequence of independent samples from an unknown distribution on a domain of size n, the goal is to check if the unknown distribution approximately equals a known distribution…

Data Structures and Algorithms · Computer Science 2009-10-20 Krzysztof Onak
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