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In a seminal paper in 2013, Witt showed that the (1+1) Evolutionary Algorithm with standard bit mutation needs time $(1+o(1))n \ln n/p_1$ to find the optimum of any linear function, as long as the probability $p_1$ to flip exactly one bit…

Neural and Evolutionary Computing · Computer Science 2024-10-01 Carola Doerr , Duri Andrea Janett , Johannes Lengler

Real-world optimization problems often involve stochastic and dynamic components. Evolutionary algorithms are particularly effective in these scenarios, as they can easily adapt to uncertain and changing environments but often uncertainty…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Ishara Hewa Pathiranage , Frank Neumann , Denis Antipov , Aneta Neumann

We study the oracle complexity of finding $\varepsilon$-Pareto stationary points in smooth multiobjective optimization with $m$ objectives. Progress is measured by the Pareto stationarity gap $\mathcal{G}(x)$, the norm of the best convex…

Optimization and Control · Mathematics 2026-02-17 Phillipe R. Sampaio

Population diversity is crucial in evolutionary algorithms to enable global exploration and to avoid poor performance due to premature convergence. This book chapter reviews runtime analyses that have shown benefits of population diversity,…

Neural and Evolutionary Computing · Computer Science 2018-01-31 Dirk Sudholt

Domination-based multi-objective (MO) evolutionary algorithms (EAs) are today arguably the most frequently used type of MOEA. These methods however stagnate when the majority of the population becomes non-dominated, preventing convergence…

Neural and Evolutionary Computing · Computer Science 2020-04-13 S. C. Maree , T. Alderliesten , P. A. N. Bosman

We consider whether conditions exist under which block-coordinate descent is asymptotically efficient in evolutionary multi-objective optimization, addressing an open problem. Block-coordinate descent, where an optimization problem is…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Benjamin Doerr , Joshua Knowles , Aneta Neumann , Frank Neumann

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

Optimization and Control · Mathematics 2021-10-01 Rodolphe Le Riche , Victor Picheny

Quality-Diversity (QD) algorithms have recently gained traction as optimisation methods due to their effectiveness at escaping local optima and capability of generating wide-ranging and high-performing solutions. Recently, Multi-Objective…

Neural and Evolutionary Computing · Computer Science 2023-05-17 Hannah Janmohamed , Thomas Pierrot , Antoine Cully

Parallel accelerators, such as GPUs, are key enablers for large-scale Machine Learning (ML) applications. However, ML model developers often lack detailed knowledge of the underlying system architectures, while system programmers usually do…

Machine Learning · Computer Science 2023-10-17 Jhe-Yu Liou , Stephanie Forrest , Carole-Jean Wu

Large language models (LLMs) are increasingly adapted to downstream tasks via reinforcement learning (RL) methods like Group Relative Policy Optimization (GRPO), which often require thousands of rollouts to learn new tasks. We argue that…

Achieving high performance for GPU codes requires developers to have significant knowledge in parallel programming and GPU architectures, and in-depth understanding of the application. This combination makes it challenging to find…

Software Engineering · Computer Science 2022-08-29 Jhe-Yu Liou , Muaaz Awan , Steven Hofmeyr , Stephanie Forrest , Carole-Jean Wu

Normalization of objectives plays a crucial role in evolutionary multi-objective optimization (EMO) to handle objective functions with different scales, which can be found in real-world problems. Although the effect of normalization methods…

Neural and Evolutionary Computing · Computer Science 2023-07-14 Ryoji Tanabe

A decent number of lower bounds for non-elitist population-based evolutionary algorithms has been shown by now. Most of them are technically demanding due to the (hard to avoid) use of negative drift theorems -- general results which…

Neural and Evolutionary Computing · Computer Science 2021-07-27 Benjamin Doerr

Traditional robust multi-objective optimization methods typically prioritize convergence while treating robustness as a secondary consideration. This approach can yield solutions that are not genuinely robust optimal under noise-affected…

Computational Engineering, Finance, and Science · Computer Science 2025-12-01 Lihong Xu , Wenxiang Jiang

This work presents PESMOC, Predictive Entropy Search for Multi-objective Bayesian Optimization with Constraints, an information-based strategy for the simultaneous optimization of multiple expensive-to-evaluate black-box functions under the…

Machine Learning · Statistics 2021-04-15 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

This work conducts a first theoretical analysis studying how well the NSGA-III approximates the Pareto front when the population size $N$ is less than the Pareto front size. We show that when $N$ is at least the number $N_r$ of reference…

Neural and Evolutionary Computing · Computer Science 2025-05-01 Renzhong Deng , Weijie Zheng , Benjamin Doerr

The $(1+(\lambda,\lambda))$ genetic algorithm, first proposed at GECCO 2013, showed a surprisingly good performance on so me optimization problems. The theoretical analysis so far was restricted to the OneMax test function, where this GA…

Neural and Evolutionary Computing · Computer Science 2017-04-17 Maxim Buzdalov , Benjamin Doerr

In the evolutionary computation research community, the performance of most evolutionary algorithms (EAs) depends strongly on their implemented coordinate system. However, the commonly used coordinate system is fixed and not well suited for…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Zhi-Zhong Liu , Yong Wang , Shengxiang Yang , Ke Tang

Handling imbalanced datasets is a challenging problem that if not treated correctly results in reduced classification performance. Imbalanced datasets are commonly handled using minority oversampling, whereas the SMOTE algorithm is a…

Machine Learning · Computer Science 2016-07-25 Xi Zhang , Di Ma , Lin Gan , Shanshan Jiang , Gady Agam

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao
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