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We design a class of variable metric evolution strategies well suited for high-dimensional problems. We target problems with many variables, not (necessarily) with many objectives. The construction combines two independent developments:…

Neural and Evolutionary Computing · Computer Science 2024-12-23 Tobias Glasmachers

This paper proposes a multi-step probabilistic forecasting framework using a single neural-network based model to generate simultaneous point and interval forecasts. Our approach ensures non-crossing prediction intervals (PIs) through a…

Machine Learning · Computer Science 2026-04-21 Worachit Amnuaypongsa , Yotsapat Suparanonrat , Pana Wanitchollakit , Jitkomut Songsiri

Residual-based adaptive strategies are widely used in scientific machine learning but remain largely heuristic. We introduce a unifying variational framework that formalizes these methods by integrating convex transformations of the…

Machine Learning · Computer Science 2025-09-29 Juan Diego Toscano , Daniel T. Chen , Vivek Oommen , Jérôme Darbon , George Em Karniadakis

Variable division and optimization (D\&O) is a frequently utilized algorithm design paradigm in Evolutionary Algorithms (EAs). A D\&O EA divides a variable into partial variables and then optimize them respectively. A complicated problem is…

Neural and Evolutionary Computing · Computer Science 2021-01-22 Yi Chen , Aimin Zhou

In this paper, the dynamic constrained optimization problem of weights adaptation for heterogeneous epidemic spreading networks is investigated. Due to the powerful ability of searching global optimum, evolutionary algorithms are employed…

Neural and Evolutionary Computing · Computer Science 2024-12-20 Yun Feng , Bing-Chuan Wang

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Different from most other dynamic multi-objective optimization problems (DMOPs), DMOPs with a changing number of objectives usually result in expansion or contraction of the Pareto front or Pareto set manifold. Knowledge transfer has been…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Gan Ruan , Leandro L. Minku , Stefan Menzel , Bernhard Sendhoff , Xin Yao

We study the Frank-Wolfe algorithm for constrained optimization problems with relatively smooth objectives. Building upon our previous work, we propose a fully adaptive variant of the Frank-Wolfe method that dynamically adjusts the step…

Optimization and Control · Mathematics 2025-08-27 A. A. Vyguzov , F. S. Stonyakin

We propose an accelerated algorithm with a Frank-Wolfe method as an oracle for solving strongly monotone variational inequality problems. While standard solution approaches, such as projected gradient descent (aka value iteration), involve…

Optimization and Control · Mathematics 2025-10-07 Reza Rahimi Baghbadorani , Peyman Mohajerin Esfahani , Sergio Grammatico

Decomposition-based multiobjective evolutionary algorithms (MOEAs) with clustering-based reference vector adaptation show good optimization performance for many-objective optimization problems (MaOPs). Especially, algorithms that employ a…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Takato Kinoshita , Naoki Masuyama , Yiping Liu , Yusuke Nojima , Hisao Ishibuchi

This paper studies an entropy-based multi-objective Bayesian optimization (MBO). The entropy search is successful approach to Bayesian optimization. However, for MBO, existing entropy-based methods ignore trade-off among objectives or…

Machine Learning · Computer Science 2020-02-12 Shinya Suzuki , Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

Dynamic Multi-objective Optimization Problems (DMOPs) refer to optimization problems that objective functions will change with time. Solving DMOPs implies that the Pareto Optimal Set (POS) at different moments can be accurately found, and…

Artificial Intelligence · Computer Science 2019-10-22 Min Jiang , Weizhen Hu , Liming Qiu , Minghui Shi , Kay Chen Tan

Recent literature has demonstrated promising results for training Generative Adversarial Networks by employing a set of discriminators, in contrast to the traditional game involving one generator against a single adversary. Such methods…

Machine Learning · Computer Science 2019-01-28 Isabela Albuquerque , João Monteiro , Thang Doan , Breandan Considine , Tiago Falk , Ioannis Mitliagkas

Multiobjective evolutionary algorithms (MOEAs) have been successfully applied to a number of constrained optimization problems. Many of them adopt mutation and crossover operators from differential evolution. However, these operators do not…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Wei Huang , Tao Xu , Kangshun Li , Jun He

This paper studies preference-shaped expected improvement criteria for Bayesian multiobjective optimization. We consider two indicator families which are often used for similar algorithmic purposes, but which are geometrically different.…

Optimization and Control · Mathematics 2026-05-29 Michael T. M. Emmerich

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

Optimization and Control · Mathematics 2020-03-24 Tao Xu , Jun He , Changjing Shang

Multiobjective design optimization problems require multiobjective optimization techniques to solve, and it is often very challenging to obtain high-quality Pareto fronts accurately. In this paper, the recently developed flower pollination…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , M. Karamanoglu , X. S. He

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive definite matrices in the generic framework. It is proved…

Optimization and Control · Mathematics 2022-07-18 Jian Chen , Gaoxi Li , Xinmin Yang

Although quality indicators play a crucial role in benchmarking evolutionary multi-objective optimization algorithms, their properties are still unclear. One promising approach for understanding quality indicators is the use of the optimal…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Ryoji Tanabe , Hisao Ishibuchi

A typical assumption in supervised machine learning is that the train (source) and test (target) datasets follow completely the same distribution. This assumption is, however, often violated in uncertain real-world applications, which…

Machine Learning · Computer Science 2021-08-17 Masahiro Nomura , Yuta Saito
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