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This thesis is concerned with continuous, static, and single-objective optimization problems subject to inequality constraints. Nevertheless, some methods to handle other kinds of problems are briefly reviewed. The particle swarm…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente

When trying to solve a computational problem, we are often faced with a choice between algorithms that are guaranteed to return the right answer but differ in their runtime distributions (e.g., SAT solvers, sorting algorithms). This paper…

Artificial Intelligence · Computer Science 2023-06-06 Devon R. Graham , Kevin Leyton-Brown , Tim Roughgarden

While most theoretical run time analyses of discrete randomized search heuristics focused on finite search spaces, we consider the search space $\mathbb{Z}^n$. This is a further generalization of the search space of multi-valued decision…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Jonathan Gadea Harder , Timo Kötzing , Xiaoyue Li , Aishwarya Radhakrishnan

Adaptive random search approaches have been shown to be effective for global optimization problems, where under certain conditions, the expected performance time increases only linearly with dimension. However, previous analyses assume that…

Optimization and Control · Mathematics 2022-03-22 David D. Linz , Zelda B. Zabinsky

The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/M$ ratio between the network size $N$ and the number of…

Quantum Physics · Physics 2024-10-22 Sergio A. Ortega , Miguel A. Martin-Delgado

The interplay between mutation and selection plays a fundamental role in the behaviour of evolutionary algorithms (EAs). However, this interplay is still not completely understood. This paper presents a rigorous runtime analysis of a…

Neural and Evolutionary Computing · Computer Science 2010-12-15 Per Kristian Lehre , Xin Yao

In this paper, we focus on the problem of dynamically analysing concurrent software against high-level temporal specifications. Existing techniques for runtime monitoring against such specifications are primarily designed for sequential…

Programming Languages · Computer Science 2026-01-09 Zhendong Ang , Umang Mathur

It is essential that all algorithms are exhaustively, somewhat, and intelligently evaluated. Nonetheless, evaluating the effectiveness of optimization algorithms equitably and fairly is not an easy process for various reasons. Choosing and…

In this work, we consider the problem of planning for temporal logic tasks in large robot environments. When full task compliance is unattainable, we aim to achieve the best possible task satisfaction by integrating user preferences for…

Robotics · Computer Science 2025-11-24 Disha Kamale , Xi Yu , Cristian-Ioan Vasile

Quantum computer algorithms can exploit the structure of random satisfiability problems. This paper extends a previous empirical evaluation of such an algorithm and gives an approximate asymptotic analysis accounting for both the average…

Quantum Physics · Physics 2007-05-23 Tad Hogg

Recently, Wang and Landau proposed a new random walk algorithm that can be very efficiently applied to many problems. Subsequently, there has been numerous studies on the algorithm itself and many proposals for improvements were put…

Statistical Mechanics · Physics 2009-11-11 Hwee Kuan Lee , Yutaka Okabe , D. P. Landau

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. However, theoretical results regarding the $(\mu+\lambda)$ evolutionary algorithm (EA) for combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Min Huang , Pengxiang Chen , Han Huang , Tongli He , Yushan Zhang , Zhifeng Hao

The development, assessment, and comparison of randomized search algorithms heavily rely on benchmarking. Regarding the domain of constrained optimization, the number of currently available benchmark environments bears no relation to the…

Neural and Evolutionary Computing · Computer Science 2018-07-27 Michael Hellwig , Hans-Georg Beyer

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…

Optimization and Control · Mathematics 2021-10-05 Courtney Paquette , Bart van Merriënboer , Elliot Paquette , Fabian Pedregosa

Two complementary techniques for analyzing search spaces are proposed: (i) an algorithm to detect search points with potential to be local optima; and (ii) a slightly adjusted Wang-Landau sampling algorithm to explore larger search spaces.…

Neural and Evolutionary Computing · Computer Science 2012-06-26 Susan Khor

We consider the visual feature selection to improve the estimation quality required for the accurate navigation of a robot. We build upon a key property that asserts: contributions of trackable features (landmarks) appear linearly in the…

Robotics · Computer Science 2019-02-05 Hossein K. Mousavi , Nader Motee

Monotonicity is a simple yet significant qualitative characteristic. We consider the problem of segmenting an array in up to K segments. We want segments to be as monotonic as possible and to alternate signs. We propose a quality metric for…

Data Structures and Algorithms · Computer Science 2007-05-23 Daniel Lemire , Martin Brooks , Yuhong Yan

We consider the problem of developing automated techniques for solving recurrence relations to aid the expected-runtime analysis of programs. Several classical textbook algorithms have quite efficient expected-runtime complexity, whereas…

Programming Languages · Computer Science 2017-05-02 Krishnendu Chatterjee , Hongfei Fu , Aniket Murhekar

A recently introduced general-purpose heuristic for finding high-quality solutions for many hard optimization problems is reviewed. The method is inspired by recent progress in understanding far-from-equilibrium phenomena in terms of {\em…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stefan Boettcher , Allon G. Percus

We study the problem of optimizing a function under a \emph{budgeted number of evaluations}. We only assume that the function is \emph{locally} smooth around one of its global optima. The difficulty of optimization is measured in terms of…

Machine Learning · Computer Science 2019-02-26 Peter L. Bartlett , Victor Gabillon , Michal Valko