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The mathematical runtime analysis of evolutionary algorithms traditionally regards the time an algorithm needs to find a solution of a certain quality when initialized with a random population. In practical applications it may be possible…

Neural and Evolutionary Computing · Computer Science 2025-11-14 Denis Antipov , Maxim Buzdalov , Benjamin Doerr

Theory of evolutionary computation (EC) aims at providing mathematically founded statements about the performance of evolutionary algorithms (EAs). The predominant topic in this research domain is runtime analysis, which studies the time it…

Neural and Evolutionary Computing · Computer Science 2018-12-04 Eduardo Carvalho Pinto , Carola Doerr

A predominant topic in the theory of evolutionary algorithms and, more generally, theory of randomized black-box optimization techniques is running time analysis. Running time analysis aims at understanding the performance of a given…

Neural and Evolutionary Computing · Computer Science 2018-06-13 Carola Doerr

Performance analysis of all kinds of randomised search heuristics is a rapidly growing and developing field. Run time and solution quality are two popular measures of the performance of these algorithms. The focus of this paper is on the…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Jun He , Thomas Jansen , Christine Zarges

Fixed-budget theory is concerned with computing or bounding the fitness value achievable by randomized search heuristics within a given budget of fitness function evaluations. Despite recent progress in fixed-budget theory, there is a lack…

Neural and Evolutionary Computing · Computer Science 2020-06-15 Timo Kötzing , Carsten Witt

While most theoretical run time analyses of discrete randomized search heuristics provide bounds on the expected number of evaluations to find the global optimum, we consider the anytime performance of evolutionary and…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Timo Kötzing , Jurek Sander

We propose a new method based on discrete Fourier analysis to analyze the time evolutionary algorithms spend on plateaus. This immediately gives a concise proof of the classic estimate of the expected runtime of the $(1+1)$ evolutionary…

Neural and Evolutionary Computing · Computer Science 2025-01-30 Benjamin Doerr , Andrew James Kelley

The theory of evolutionary computation for discrete search spaces has made significant progress in the last ten years. This survey summarizes some of the most important recent results in this research area. It discusses fine-grained models…

Neural and Evolutionary Computing · Computer Science 2021-11-01 Benjamin Doerr , Frank Neumann

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

Finding the best configuration of algorithms' hyperparameters for a given optimization problem is an important task in evolutionary computation. We compare in this work the results of four different hyperparameter tuning approaches for a…

Neural and Evolutionary Computing · Computer Science 2022-03-18 Furong Ye , Carola Doerr , Hao Wang , Thomas Bäck

The success of modern deep learning is attributed to two key elements: huge amounts of training data and large model sizes. Where a vast amount of data allows the model to learn more features, the large model architecture boosts the…

Machine Learning · Computer Science 2024-10-08 Muhammad Asif Khan , Ridha Hamila , Hamid Menouar

We empirically evaluate the finite-time performance of several simulation-optimization algorithms on a testbed of problems with the goal of motivating further development of algorithms with strong finite-time performance. We investigate if…

Optimization and Control · Mathematics 2017-05-23 Naijia Dong , David J. Eckman , Matthias Poloczek , Xueqi Zhao , Shane G. Henderson

Evolutionary algorithms have been frequently used for dynamic optimization problems. With this paper, we contribute to the theoretical understanding of this research area. We present the first computational complexity analysis of…

Data Structures and Algorithms · Computer Science 2015-04-27 Frank Neumann , Carsten Witt

Linear functions play a key role in the runtime analysis of evolutionary algorithms and studies have provided a wide range of new insights and techniques for analyzing evolutionary computation methods. Motivated by studies on separable…

Neural and Evolutionary Computing · Computer Science 2022-08-12 Frank Neumann , Carsten Witt

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Runtime analysis, as a branch of the theory of AI, studies how the number of iterations algorithms take before finding a solution (its runtime) depends on the design of the algorithm and the problem structure. Drift analysis is a…

Neural and Evolutionary Computing · Computer Science 2024-05-14 Per Kristian Lehre , Shishen Lin

Evolutionary algorithms (EAs) have found many successful real-world applications, where the optimization problems are often subject to a wide range of uncertainties. To understand the practical behaviors of EAs theoretically, there are a…

Computational Complexity · Computer Science 2022-12-07 Chao Bian , Chao Qian , Ke Tang , Yang Yu

Evolutionary neural architecture search (ENAS) employs evolutionary algorithms to find high-performing neural architectures automatically, and has achieved great success. However, compared to the empirical success, its rigorous theoretical…

Neural and Evolutionary Computing · Computer Science 2024-04-09 Zeqiong Lv , Chao Qian , Yanan Sun

Deep learning applications are usually very compute-intensive and require a long run time for training and inference. This has been tackled by researchers from both hardware and software sides, and in this paper, we propose a Roofline-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Yunsong Wang , Charlene Yang , Steven Farrell , Yan Zhang , Thorsten Kurth , Samuel Williams

Software model optimization is a process that automatically generates design alternatives aimed at improving quantifiable non-functional properties of software systems, such as performance and reliability. Multi-objective evolutionary…

Software Engineering · Computer Science 2025-11-04 J. Andres Diaz-Pace , Daniele Di Pompeo , Michele Tucci
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