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We present a new method for model-based mutation-driven test case generation. Mutants are generated by making small syntactical modifications to the model or source code of the system under test. A test case kills a mutant if the behavior…

Logic in Computer Science · Computer Science 2019-07-18 Andreas Fellner , Mitra Tabaei Befrouei , Georg Weissenbacher

In a fixed-confidence pure exploration problem in stochastic multi-armed bandits, an algorithm iteratively samples arms and should stop as early as possible and return the correct answer to a query about the arms distributions. We are…

Machine Learning · Computer Science 2025-02-04 Adrienne Tuynman , Rémy Degenne

We develop statistically based methods to detect single nucleotide DNA mutations in next generation sequencing data. Sequencing generates counts of the number of times each base was observed at hundreds of thousands to billions of genome…

Applications · Statistics 2012-10-01 Omkar Muralidharan , Georges Natsoulis , John Bell , Hanlee Ji , Nancy R. Zhang

The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting particles. It can transform the computational complexity from…

Numerical Analysis · Mathematics 2024-12-23 Yanshun Zhao , Jingrun Chen , Zhiwen Zhang

Mesh numbering is a critical issue in Finite Element Methods, as the computational cost of one analysis is highly dependent on the order of the nodes of the mesh. This paper presents some preliminary investigations on the problem of mesh…

Numerical Analysis · Computer Science 2007-06-12 Francis Sourd , Marc Schoenauer

We propose a high-order stochastic-statistical moment closure model for efficient ensemble prediction of leading-order statistical moments and probability density functions in multiscale complex turbulent systems. The statistical moment…

Numerical Analysis · Mathematics 2023-06-21 Di Qi , Jian-Guo Liu

Quantum computing promises polynomial and exponential speedups in many domains, such as unstructured search and prime number factoring. However, quantum programs yield probabilistic outputs from exponentially growing distributions and are…

Software Engineering · Computer Science 2024-10-29 Noah H. Oldfield , Christoph Laaber , Tao Yue , Shaukat Ali

Existing fine-grained predictive mutation testing studies predominantly rely on deep learning, which faces two critical limitations in practice: (1) Exorbitant computational costs. The deep learning models adopted in these studies demand…

Software Engineering · Computer Science 2025-11-18 Zeyu Lu , Peng Zhang , Chun Yong Chong , Shan Gao , Yibiao Yang , Yanhui Li , Lin Chen , Yuming Zhou

We propose a new, flexible approach for dynamically maintaining successful mutation rates in evolutionary algorithms using $k$-bit flip mutations. The algorithm adds successful mutation rates to an archive of promising rates that are…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Martin S. Krejca , Carsten Witt

In this paper, we investigate the popular deep learning optimization routine, Adam, from the perspective of statistical moments. While Adam is an adaptive lower-order moment based (of the stochastic gradient) method, we propose an extension…

Machine Learning · Computer Science 2019-10-16 Zhanhong Jiang , Aditya Balu , Sin Yong Tan , Young M Lee , Chinmay Hegde , Soumik Sarkar

Variational quantum algorithms are a class of techniques intended to be used on near-term quantum computers. The goal of these algorithms is to perform large quantum computations by breaking the problem down into a large number of shallow…

Quantum Physics · Physics 2023-03-24 Ryan Shaffer , Lucas Kocia , Mohan Sarovar

The one-fifth success rule is one of the best-known and most widely accepted techniques to control the parameters of evolutionary algorithms. While it is often applied in the literal sense, a common interpretation sees the one-fifth success…

Neural and Evolutionary Computing · Computer Science 2021-12-30 Benjamin Doerr , Carola Doerr , Johannes Lengler

We propose a variational alternative to the Trotter-Suzuki decomposition that provides greater control over errors while preserving the unitary structure of time evolution. The variational parameters in our ansatz are derived from a global…

Quantum Physics · Physics 2025-11-20 Ibsal Assi , Michael Vogl , Meenu Kumari , J. P. F. LeBlanc

Testing is an important aspect in professional software development, both to avoid and identify bugs as well as to increase maintainability. However, increasing the number of tests beyond a reasonable amount hinders development progress. To…

Programming Languages · Computer Science 2022-05-23 Alexandros Efremidis , Joshua Schmidt , Sebastian Krings , Philipp Körner

Process variations are a major concern in today's chip design since they can significantly degrade chip performance. To predict such degradation, existing circuit and MEMS simulators rely on Monte Carlo algorithms, which are typically too…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Zheng Zhang , Xiu Yang , Giovanni Marucci , Paolo Maffezzoni , Ibrahim , M. Elfadel , George Em Karniadakis , Luca Daniel

Extending previous analyses on function classes like linear functions, we analyze how the simple (1+1) evolutionary algorithm optimizes pseudo-Boolean functions that are strictly monotone. Contrary to what one would expect, not all of these…

Neural and Evolutionary Computing · Computer Science 2015-03-17 Benjamin Doerr , Thomas Jansen , Dirk Sudholt , Carola Winzen , Christine Zarges

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

Methodology · Statistics 2023-11-07 Zhaoyuan Li , Jie Gao

We propose an Extended Hybrid High-Order scheme for the Poisson problem with solution possessing weak singularities. Some general assumptions are stated on the nature of this singularity and the remaining part of the solution. The method is…

Numerical Analysis · Mathematics 2022-05-16 Liam Yemm

This work presents a statistically principled method for estimating the required number of instances in the experimental comparison of multiple algorithms on a given problem class of interest. This approach generalises earlier results by…

Methodology · Statistics 2019-08-06 Felipe Campelo , Elizabeth F. Wanner

While the theoretical analysis of evolutionary algorithms (EAs) has made significant progress for pseudo-Boolean optimization problems in the last 25 years, only sporadic theoretical results exist on how EAs solve permutation-based…

Neural and Evolutionary Computing · Computer Science 2022-10-07 Benjamin Doerr , Yassine Ghannane , Marouane Ibn Brahim
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