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Data-driven evolutionary algorithms has shown surprising results in addressing expensive optimization problems through robust surrogate modeling. Though promising, existing surrogate modeling schemes may encounter limitations in complex…

Neural and Evolutionary Computing · Computer Science 2025-12-18 Xian-Rong Zhang , Yue-Jiao Gong , Zeyuan Ma , Jun Zhang

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

Dynamic multi-objective optimization problems (DMOPs) remain a challenge to be settled, because of conflicting objective functions change over time. In recent years, transfer learning has been proven to be a kind of effective approach in…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Zhenzhong Wang , Min Jiang , Xing Gao , Liang Feng , Weizhen Hu , Kay Chen Tan

High-performance scientific simulations, important for comprehension of complex systems, encounter computational challenges especially when exploring extensive parameter spaces. There has been an increasing interest in developing deep…

Machine Learning · Computer Science 2024-07-15 Pradeep Bajracharya , Javier Quetzalcóatl Toledo-Marín , Geoffrey Fox , Shantenu Jha , Linwei Wang

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

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

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

During the design process of an autonomous underwater vehicle (AUV), the pressure vessel has a critical role. The pressure vessel contains dry electronics, power sources, and other sensors that can not be flooded. A traditional design…

Machine Learning · Computer Science 2022-07-12 Harsh Vardhan , Janos Sztipanovits

Deep Operator Networks are emerging as fundamental tools among various neural network types to learn mappings between function spaces, and have recently gained attention due to their ability to approximate nonlinear operators. In…

Machine Learning · Computer Science 2026-01-15 Beatrice Ceccanti , Mattia Galanti , Ivo Roghair , Martin van Sint Annaland

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

The term `surrogate modeling' in computational science and engineering refers to the development of computationally efficient approximations for expensive simulations, such as those arising from numerical solution of partial differential…

Numerical Analysis · Mathematics 2022-08-12 Maarten V. de Hoop , Daniel Zhengyu Huang , Elizabeth Qian , Andrew M. Stuart

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

Neural and Evolutionary Computing · Computer Science 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

We consider a two-stage stochastic optimization problem, in which a long-term optimization variable is coupled with a set of short-term optimization variables in both objective and constraint functions. Despite that two-stage stochastic…

Optimization and Control · Mathematics 2021-07-07 An Liu , Rui Yang , Tony Q. S. Quek , Min-Jian Zhao

Evolutionary computing (EC) is widely used in dealing with combinatorial optimization problems (COP). Traditional EC methods can only solve a single task in a single run, while real-life scenarios often need to solve multiple COPs…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Haoyuan Lv , Ruochen Liu

Surrogate-assisted evolutionary algorithms (SAEAs) hold significant importance in resolving expensive optimization problems~(EOPs). Extensive efforts have been devoted to improving the efficacy of SAEAs through the development of proficient…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Hao Hao , Xiaoqun Zhang , Aimin Zhou

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

Many applications in machine learning require optimizing a function whose true gradient is unknown, but where surrogate gradient information (directions that may be correlated with, but not necessarily identical to, the true gradient) is…

Neural and Evolutionary Computing · Computer Science 2019-06-12 Niru Maheswaranathan , Luke Metz , George Tucker , Dami Choi , Jascha Sohl-Dickstein

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

Optimal experimental design is an essential subfield of statistics that maximizes the chances of experimental success. The D- and A-optimal design is a very challenging problem in the field of optimal design, namely minimizing the…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Lyuyang Tong

Simulation-based optimization is a useful method for practical design problems. However, it is difficult for complicated problems due to expensive-computational costs. A popular way to overcome this issue is to use a surrogate model to save…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Yu Li , Hu Wang , Ziming Wen , Xin Wang