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Evolution strategies (ESs) are zeroth-order stochastic black-box optimization heuristics invariant to monotonic transformations of the objective function. They evolve a multivariate normal distribution, from which candidate solutions are…

Numerical Analysis · Mathematics 2022-02-09 Youhei Akimoto , Anne Auger , Tobias Glasmachers , Daiki Morinaga

The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

Neural and Evolutionary Computing · Computer Science 2018-10-08 A. Maesani , G. Iacca , D. Floreano

Stochastic Boolean networks, or more generally, stochastic discrete networks, are an important class of computational models for molecular interaction networks. The stochasticity stems from the updating schedule. Standard updating schedules…

Molecular Networks · Quantitative Biology 2024-07-09 David Murrugarra , Jacob Miller , Alex Mueller

Baldwinian and Lamarckian evolution have existed for a long time in evolutionary algorithms (EAs) without ever dominating the academic literature or practical applications. In this work, we use modern empirical and theoretical methods to…

Neural and Evolutionary Computing · Computer Science 2026-05-28 Inès Benito , Johannes F. Lutzeyer , Benjamin Doerr

We consider stochastic optimization problems which use observed data to estimate essential characteristics of the random quantities involved. Sample average approximation (SAA) or empirical (plug-in) estimation are very popular ways to use…

Statistics Theory · Mathematics 2021-03-16 Darinka Dentcheva , Yang Lin

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Kamrul Hasan Rahi

Gradient optimization algorithms using epochs, that is those based on stochastic gradient descent without replacement (SGDo), are predominantly used to train machine learning models in practice. However, the mathematical theory of SGDo and…

Machine Learning · Computer Science 2025-12-05 Stefan Perko

In this paper, we propose a surrogate-assisted evolutionary algorithm (EA) for hyperparameter optimization of machine learning (ML) models. The proposed STEADE model initially estimates the objective function landscape using RadialBasis…

Neural and Evolutionary Computing · Computer Science 2020-12-14 Subhodip Biswas , Adam D Cobb , Andreea Sistrunk , Naren Ramakrishnan , Brian Jalaian

The covariance matrix adaptation evolution strategy (CMA-ES) is a powerful optimization method for continuous black-box optimization problems. Several noise-handling methods have been proposed to bring out the optimization performance of…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Kento Uchida , Kenta Nishihara , Shinichi Shirakawa

Evolutionary algorithms (EAs) are general-purpose optimization algorithms, inspired by natural evolution. Recent theoretical studies have shown that EAs can achieve good approximation guarantees for solving the problem classes of submodular…

Neural and Evolutionary Computing · Computer Science 2022-12-19 Chao Qian , Dan-Xuan Liu , Chao Feng , Ke Tang

Evolutionary algorithms are particularly effective for optimisation problems with dynamic and stochastic components. We propose multi-objective evolutionary approaches for the knapsack problem with stochastic profits under static and…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Kokila Kasuni Perera , Aneta Neumann

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Guanghui Huang , Zhifeng Pan

Recent theoretical research has shown that self-adjusting and self-adaptive mechanisms can provably outperform static settings in evolutionary algorithms for binary search spaces. However, the vast majority of these studies focuses on…

Neural and Evolutionary Computing · Computer Science 2020-06-03 Amirhossein Rajabi , Carsten Witt

This survey revisits classical combinatorial optimization algorithms and extends them to two-stage stochastic models, particularly focusing on client-element problems. We reformulate these problems to optimize element selection under…

Optimization and Control · Mathematics 2024-09-04 Phuong Le

Existing black-box portfolio management systems are prevalent in the financial industry due to commercial and safety constraints, though their performance can fluctuate dramatically with changing market regimes. Evaluating these…

Machine Learning · Computer Science 2026-04-30 Zinuo You , John Cartlidge , Karen Elliott , Menghan Ge , Daniel Gold

Bayesian optimization devolves the global optimization of a costly objective function to the global optimization of a sequence of acquisition functions. This inner-loop optimization can be catastrophically difficult if it involves posterior…

Machine Learning · Computer Science 2025-04-02 Taiwo A. Adebiyi , Bach Do , Ruda Zhang

We consider stochastic optimization problems with non-convex functional constraints, such as those arising in trajectory generation, sparse approximation, and robust classification. To this end, we put forth a recursive momentum-based…

Optimization and Control · Mathematics 2025-08-04 Basil M. Idrees , Lavish Arora , Ketan Rajawat

Recent work such as AlphaEvolve has shown that combining LLM-driven optimization with evolutionary search can effectively improve programs, prompts, and algorithms across domains. In this paradigm, previously evaluated solutions are reused…

The covariance matrix adaptation evolution strategy (CMA-ES) is a stochastic search algorithm using a multivariate normal distribution for continuous black-box optimization. In addition to strong empirical results, part of the CMA-ES can be…

Neural and Evolutionary Computing · Computer Science 2024-08-12 Ryoki Hamano , Shinichi Shirakawa , Masahiro Nomura

Stochastic gradient methods for machine learning and optimization problems are usually analyzed assuming data points are sampled \emph{with} replacement. In practice, however, sampling \emph{without} replacement is very common, easier to…

Machine Learning · Computer Science 2016-10-18 Ohad Shamir