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Experience shows that typical evolutionary algorithms can cope well with stochastic disturbances such as noisy function evaluations. In this first mathematical runtime analysis of the $(1+\lambda)$ and $(1,\lambda)$ evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Denis Antipov , Benjamin Doerr , Alexandra Ivanova

Evolutionary Algorithms (EAs) employ random or simplistic selection methods, limiting their exploration of solution spaces and convergence to optimal solutions. The randomness in performing crossover or mutations may limit the model's…

Neural and Evolutionary Computing · Computer Science 2025-03-06 Shady Ali , Mahmoud Ashraf , Seif Hegazy , Fatty Salem , Hoda Mokhtar , Mohamed Medhat Gaber , Mohamed Taher Alrefaie

We present an evolutionary algorithm evo-SMC for the problem of Submodular Maximization under Cost constraints (SMC). Our algorithm achieves $1/2$-approximation with a high probability $1-1/n$ within $\mathcal{O}(n^2K_{\beta})$ iterations,…

Data Structures and Algorithms · Computer Science 2024-08-20 Yanhui Zhu , Samik Basu , A Pavan

This paper proposes Genetic Algorithm with Border Trades (GAB), a novel modification of the standard genetic algorithm that enhances exploration by incorporating new chromosome patterns in the breeding process. This approach significantly…

Machine Learning · Computer Science 2025-06-27 Qingchuan Lyu

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

Machine Learning · Computer Science 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan

Sweepstakes reproduction refers to a highly skewed individual recruitment success without involving natural selection and may apply to individuals in broadcast spawning populations characterised by Type III survivorship. We consider an…

Populations and Evolution · Quantitative Biology 2026-01-14 Jonathan A Chetwynd-Diggle , Bjarki Eldon

Train timetabling is a difficult and very tightly constrained combinatorial problem that deals with the construction of train schedules. We focus on the particular problem of local reconstruction of the schedule following a small…

Artificial Intelligence · Computer Science 2007-05-23 Marc Schoenauer , Yann Semet

We study the problem of learning in zero-sum matrix games with repeated play and bandit feedback. Specifically, we focus on developing uncoupled algorithms that guarantee, without communication between players, the convergence of the…

Machine Learning · Computer Science 2026-04-20 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Michal Valko , Vianney Perchet

This paper proposes a novel evolutionary algorithm called Epistocracy which incorporates human socio-political behavior and intelligence to solve complex optimization problems. The inspiration of the Epistocracy algorithm originates from a…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Seyed Ziae Mousavi Mojab , Seyedmohammad Shams , Hamid Soltanian-Zadeh , Farshad Fotouhi

The Bulk-Synchronous Parallel model of computation has been used for the architecture independent design and analysis of parallel algorithms whose performance is expressed not only in terms of problem size n but also in terms of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-29 Alexandros V. Gerbessiotis , Constantinos J. Siniolakis

With the development of fast and massively parallel evaluations in many domains, Quality-Diversity (QD) algorithms, that already proved promising in a large range of applications, have seen their potential multiplied. However, we have yet…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Manon Flageat , Bryan Lim , Antoine Cully

Using a bit-string model of evolution, we find a successful route to diploidy and sex in simple organisms. Allowing the sexually reproducing diploid individuals to also perform mitosis, as they do in a haploid-diploid cycle, leads to the…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Volkan Sevim , Ayse Erzan

A genetic algorithm (GA) is a search method that optimises a population of solutions by simulating natural evolution. Good solutions reproduce together to create better candidates. The standard GA assumes that any two solutions can mate.…

Neural and Evolutionary Computing · Computer Science 2021-04-12 Aymeric Vie

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

An automated sizing approach for analog circuits using evolutionary algorithms is presented in this paper. A targeted search of the search space has been implemented using a particle generation function and a repair-bounds function that has…

Neural and Evolutionary Computing · Computer Science 2023-10-20 Ria Rashid , Gopavaram Raghunath , Vasant Badugu , Nandakumar Nambath

In real-world applications, many optimization problems have the time-linkage property, that is, the objective function value relies on the current solution as well as the historical solutions. Although the rigorous theoretical analysis on…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Weijie Zheng , Huanhuan Chen , Xin Yao

The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

Probability · Mathematics 2023-04-26 Ellen Baake , Frederic Alberti

This paper focuses on $\alpha$-divergence minimisation methods for Variational Inference. More precisely, we are interested in algorithms optimising the mixture weights of any given mixture model, without any information on the underlying…

Statistics Theory · Mathematics 2021-06-10 Kamélia Daudel , Randal Douc

Stochastic gradient descent is the most prevalent algorithm to train neural networks. However, other approaches such as evolutionary algorithms are also applicable to this task. Evolutionary algorithms bring unique trade-offs that are worth…

Neural and Evolutionary Computing · Computer Science 2018-06-27 Jonas Prellberg , Oliver Kramer

Quality Diversity (QD) algorithms such as MAP-Elites are a class of optimisation techniques that attempt to find many high performing points that all behave differently according to a user-defined behavioural metric. In this paper we…

Optimization and Control · Mathematics 2023-07-20 Paul Kent , Adam Gaier , Jean-Baptiste Mouret , Juergen Branke
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