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We study the problem of determining exactly the number of defective items in an adaptive Group testing by using a minimum number of tests. We improve the existing algorithm and prove a lower bound that shows that the number of tests in our…

Information Theory · Computer Science 2020-01-03 Nader H. Bshouty , Catherine A. Haddad-Zaknoon , Raghd Boulos , Foad Moalem , Jalal Nada , Elias Noufi , Yara Zaknoon

The article focuses on word (or string) attractors, which are sets of positions related to the text compression efficiency of the underlying word. The article presents two combinatorial algorithms based on Suffix automata or Directed…

Data Structures and Algorithms · Computer Science 2025-09-11 Marie-Pierre Béal , Maxime Crochemore , Giuseppe Romana

The purpose of testing a system with respect to a requirement is to refute the hypothesis that the system satisfies the requirement. We build a theory of tests and refutation based on the elementary notions of satisfaction and refinement.…

Software Engineering · Computer Science 2020-06-19 Mohammad Torabi Dashti , David Basin

In this paper we present a novel algorithm for automatic performance testing that uses an online variant of the Generative Adversarial Network (GAN) to optimize the test generation process. The objective of the proposed approach is to…

Software Engineering · Computer Science 2021-04-23 Ivan Porres , Hergys Rexha , Sébastien Lafond

The main contribution of this paper is to design an Information Retrieval (IR) technique based on Algorithmic Information Theory (using the Normalized Compression Distance- NCD), statistical techniques (outliers), and novel organization of…

Information Retrieval · Computer Science 2016-11-17 Rafael Martinez , Manuel Cebrian , Francisco de Borja Rodriguez , David Camacho

In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules. The requirements of operating characteristic function can be satisfied by adjusting the…

Statistics Theory · Mathematics 2012-02-10 Xinjia Chen

Grover's algorithm relies on the superposition and interference of quantum mechanics, which is more efficient than classical computing in specific tasks such as searching an unsorted database. Due to the high complexity of quantum…

Quantum Physics · Physics 2026-01-07 H. Sun , Z. Shi , S. Chen , G. Wang , X. Li , Y. Guan , Q. Zhang , Z. Shao

A hypothesis testing algorithm is replicable if, when run on two different samples from the same distribution, it produces the same output with high probability. This notion, defined by by Impagliazzo, Lei, Pitassi, and Sorell [STOC'22],…

Data Structures and Algorithms · Computer Science 2025-09-05 Anders Aamand , Maryam Aliakbarpour , Justin Y. Chen , Shyam Narayanan , Sandeep Silwal

Artificial intelligent (AI) algorithms, such as deep learning and XGboost, are used in numerous applications including computer vision, autonomous driving, and medical diagnostics. The robustness of these AI algorithms is of great interest…

Machine Learning · Statistics 2020-10-30 Jiayi Lian , Laura Freeman , Yili Hong , Xinwei Deng

Physico-chemical continuum battery models are typically parameterized by manual fits, relying on the individual expertise of researchers. In this article, we introduce a computer algorithm that directly utilizes the experience of battery…

Data Analysis, Statistics and Probability · Physics 2023-02-08 Yannick Kuhn , Hannes Wolf , Arnulf Latz , Birger Horstmann

We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are…

Physics Education · Physics 2009-11-13 Jan Tobochnik , Harvey Gould

Ubiquitous use of lithium-ion batteries across multiple industries presents an opportunity to explore cost saving initiatives as the price to performance ratio continually decreases in a competitive environment. Manufacturers using…

Signal Processing · Electrical Eng. & Systems 2021-10-20 Anmol Singh , Caitlin Feltner , Jamie Peck , Kurt I. Kuhn

In the future, ab initio quantum simulations of heavy ion collisions may become possible with large-scale fault-tolerant quantum computers. We propose a quantum algorithm for studying these collisions by looking at a class of observables…

High Energy Physics - Lattice · Physics 2021-12-08 Thomas D. Cohen , Henry Lamm , Scott Lawrence , Yukari Yamauchi

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…

Quantitative Methods · Quantitative Biology 2020-05-07 Endre Csóka

This document presents a combinatorial framework for analyzing assembly systems using generating functions. We explore the theory through concrete examples, such as linear polymers, and develop recursive equations to characterize valid…

Combinatorics · Mathematics 2025-01-22 Andrés Ortiz-Muñoz

Intelligent machine learning approaches are finding active use for event detection and identification that allow real-time situational awareness. Yet, such machine learning algorithms have been shown to be susceptible to adversarial attacks…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Obai Bahwal , Oliver Kosut , Lalitha Sankar

The statistical literature is known to be inconsistent in the use of the terms "permutation test" and "randomization test". Several authors succesfully argue that these terms should be used to refer to two distinct classes of tests and that…

Methodology · Statistics 2020-12-23 Jesse Hemerik , Jelle J. Goeman

A test oracle determines whether a system behaves correctly for a given input. Automatic testing techniques rely on an automated test oracle to test the system without user interaction. Important families of automated test oracles include…

Software Engineering · Computer Science 2022-10-21 Manuel Rigger , Zhendong Su

Accurate parameter dependent electro-chemical numerical models for lithium-ion batteries are essential in industrial application. The exact parameters of each battery cell are unknown and a process of estimation is necessary to infer them.…

Statistics Theory · Mathematics 2024-04-25 Andrea Petrocchi , Matthias K. Scharrer , Franz Pichler , Stefan Volkwein

Neural networks are powerful predictive models, but they provide little insight into the nature of relationships between predictors and outcomes. Although numerous methods have been proposed to quantify the relative contributions of input…

Methodology · Statistics 2023-01-30 Francesca Mandel , Ian Barnett