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The performance of multi-objective evolutionary algorithms deteriorates appreciably in solving many-objective optimization problems which encompass more than three objectives. One of the known rationales is the loss of selection pressure…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

Estimation of distribution algorithms (EDAs) constitute a new branch of evolutionary optimization algorithms, providing effective and efficient optimization performance in a variety of research areas. Recent studies have proposed new EDAs…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Dae-Won Kim , Song Ko , Bo-Yeong Kang

Estimation of distribution algorithms (EDAs) provide a distribution - based approach for optimization which adapts its probability distribution during the run of the algorithm. We contribute to the theoretical understanding of EDAs and…

Neural and Evolutionary Computing · Computer Science 2022-11-28 Tobias Friedrich , Timo Kötzing , Frank Neumann , Aishwarya Radhakrishnan

Since Estimation of Distribution Algorithms (EDA) were proposed, many attempts have been made to improve EDAs' performance in the context of global optimization. So far, the studies or applications of multivariate probabilistic model based…

Neural and Evolutionary Computing · Computer Science 2011-11-10 Weishan Dong , Tianshi Chen , Peter Tino , Xin Yao

Schedules can be built in a similar way to a human scheduler by using a set of rules that involve domain knowledge. This paper presents an Estimation of Distribution Algorithm (eda) for the nurse scheduling problem, which involves choosing…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Jingpeng Li

We show that a large class of Estimation of Distribution Algorithms, including, but not limited to, Covariance Matrix Adaption, can be written as a Monte Carlo Expectation-Maximization algorithm, and as exact EM in the limit of infinite…

Machine Learning · Computer Science 2022-06-14 David H. Brookes , Akosua Busia , Clara Fannjiang , Kevin Murphy , Jennifer Listgarten

Estimation of Distribution Algorithms (EDAs) are one branch of Evolutionary Algorithms (EAs) in the broad sense that they evolve a probabilistic model instead of a population. Many existing algorithms fall into this category. Analogous to…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Benjamin Doerr , Weijie Zheng

In their recent work, Lehre and Nguyen (FOGA 2019) show that the univariate marginal distribution algorithm (UMDA) needs time exponential in the parent populations size to optimize the DeceptiveLeadingBlocks (DLB) problem. They conclude…

Neural and Evolutionary Computing · Computer Science 2022-04-28 Benjamin Doerr , Martin S. Krejca

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

Neural and Evolutionary Computing · Computer Science 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

Compact optimization algorithms are a class of Estimation of Distribution Algorithms (EDAs) characterized by extremely limited memory requirements (hence they are called "compact"). As all EDAs, compact algorithms build and update a…

Artificial Intelligence · Computer Science 2019-04-11 Giovanni Iacca , Fabio Caraffini

The population-based optimization algorithms have provided promising results in feature selection problems. However, the main challenges are high time complexity. Moreover, the interaction between features is another big challenge in FS…

Neural and Evolutionary Computing · Computer Science 2021-10-26 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

In this paper, we obtain bounds on the probability of convergence to the optimal solution for the compact Genetic Algorithm (cGA) and the Population Based Incremental Learning (PBIL). We also give a sufficient condition for convergence of…

Neural and Evolutionary Computing · Computer Science 2010-09-14 Reza Rastegar

Estimation of distribution algorithms (EDA) as one of the EAs is a stochastic optimization problem which establishes a probability model to describe the distribution of solutions and randomly samples the probability model to create…

Neural and Evolutionary Computing · Computer Science 2020-03-17 Zhenyu Liang , Yunfan Li , Zhongwei Wan

We introduce a new benchmark problem called Deceptive Leading Blocks (DLB) to rigorously study the runtime of the Univariate Marginal Distribution Algorithm (UMDA) in the presence of epistasis and deception. We show that simple Evolutionary…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Per Kristian Lehre , Phan Trung Hai Nguyen

We introduce an order-invariant reinforcement learning framework for black-box combinatorial optimization. Classical estimation-of-distribution algorithms (EDAs) often rely on learning explicit variable dependency graphs, which can be…

Machine Learning · Computer Science 2026-01-30 Olivier Goudet , Quentin Suire , Adrien Goëffon , Frédéric Saubion , Sylvain Lamprier

The randomized unbiased estimators of Rhee and Glynn (Operations Research:63(5), 1026-1043, 2015) can be highly efficient at approximating expectations of path functionals associated with stochastic differential equations (SDEs). However,…

Statistics Theory · Mathematics 2026-04-09 Chao Zheng , Jiangtao Pan , Qun Wang

We introduce Exponential Family Discriminant Analysis (EFDA), a unified generative framework that extends classical Linear Discriminant Analysis (LDA) beyond the Gaussian setting to any member of the exponential family. Under the assumption…

Machine Learning · Computer Science 2026-03-25 Anish Lakkapragada

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

Neural and Evolutionary Computing · Computer Science 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt

Understanding how the time-complexity of evolutionary algorithms (EAs) depend on their parameter settings and characteristics of fitness landscapes is a fundamental problem in evolutionary computation. Most rigorous results were derived…

Neural and Evolutionary Computing · Computer Science 2016-10-28 Dogan Corus , Duc-Cuong Dang , Anton V. Eremeev , Per Kristian Lehre

The Simple Genetic Algorithm, the Univariate Marginal Distribution Algorithm, the Extended Compact Genetic Algorithm, and the Hierarchical Bayesian Optimization Algorithm are all well known Evolutionary Algorithms. In this report we present…

Neural and Evolutionary Computing · Computer Science 2015-06-29 José C. Pereira , Fernando G. Lobo