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Parameterized analysis provides powerful mechanisms for obtaining fine-grained insights into different types of algorithms. In this work, we combine this field with evolutionary algorithms and provide parameterized complexity analysis of…

Combinatorics · Mathematics 2023-03-22 Samuel Baguley , Tobias Friedrich , Aneta Neumann , Frank Neumann , Marcus Pappik , Ziena Zeif

Several real-world applications could be modeled as Mixed-Integer Non-Linear Programming (MINLP) problems, and some prominent examples include portfolio optimization, remote sensing technology, and so on. Most of the models for these…

Computational Engineering, Finance, and Science · Computer Science 2021-01-22 Yi Chen , Aimin Zhou , Swagatam Das

This paper proposes a novel constraint-handling mechanism named angle-based constrained dominance principle (ACDP) embedded in a decomposition-based multi-objective evolutionary algorithm (MOEA/D) to solve constrained multi-objective…

Neural and Evolutionary Computing · Computer Science 2018-02-13 Zhun Fan , Yi Fang , Wenji Li , Xinye Cai , Caimin Wei , Erik Goodman

Scalability of evolutionary algorithms refers to assessing how their performance changes as problem size increases. In the area of multi-objective optimisation, research on the scalability of multi-objective evolutionary algorithms (MOEAs)…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Menghao Tang , Zimin Liang , Miqing Li

In general, a multi-objective optimization problem does not have a single optimal solution but a set of Pareto optimal solutions, which forms the Pareto front in the objective space. Various evolutionary algorithms have been proposed to…

Neural and Evolutionary Computing · Computer Science 2020-06-16 Hisao Ishibuchi , Lie Meng Pang , Ke Shang

Multi-task learning (MTL), which aims to improve performance by learning multiple tasks simultaneously, inherently presents an optimization challenge due to multiple objectives. Hence, multi-objective optimization (MOO) approaches have been…

Artificial Intelligence · Computer Science 2021-10-08 Simyung Chang , KiYoon Yoo , Jiho Jang , Nojun Kwak

In this article, we propose a Newton-based method for solving multiobjective interval optimization problems (MIOPs). We first provide a connection between weakly Pareto optimal points and Pareto critical points in the context of MIOPs.…

Optimization and Control · Mathematics 2026-03-09 Tapas Mondal , Debdas Ghosh , Do Sang Kim

Decomposition-based multi-objective evolutionary algorithms (MOEAs) are widely used for solving multi-objective optimisation problems. However, their effectiveness depends on the consistency between the problems Pareto front shape and the…

Neural and Evolutionary Computing · Computer Science 2025-02-25 Xiaofeng Han , Xiaochen Chu , Tao Chao , Ming Yang , Miqing Li

In evolutionary algorithms, a preselection operator aims to select the promising offspring solutions from a candidate offspring set. It is usually based on the estimated or real objective values of the candidate offspring solutions. In a…

Neural and Evolutionary Computing · Computer Science 2017-08-04 Jinyuan Zhang , Aimin Zhou , Ke Tang , Guixu Zhang

Optimization problems find widespread use in both single-objective and multi-objective scenarios. In practical applications, users aspire for solutions that converge to the region of interest (ROI) along the Pareto front (PF). While the…

Artificial Intelligence · Computer Science 2025-03-10 Tian Huang , Shengbo Wang , Ke Li

The research area of evolutionary multiobjective optimization (EMO) is reaching better understandings of the properties and capabilities of EMO algorithms, and accumulating much evidence of their worth in practical scenarios. An urgent…

Neural and Evolutionary Computing · Computer Science 2009-08-24 David Corne , Joshua Knowles

Deep Optimisation (DO) combines evolutionary search with Deep Neural Networks (DNNs) in a novel way - not for optimising a learning algorithm, but for finding a solution to an optimisation problem. Deep learning has been successfully…

Machine Learning · Computer Science 2018-11-05 J. R. Caldwell , R. A. Watson , C. Thies , J. D. Knowles

There are existing standard solvers for tackling discrete optimization problems. However, in practice, it is uncommon to apply them directly to the large input space typical of this class of problems. Rather, the input is preprocessed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Bolarinwa Olayemi Saheed

Large Language Model (LLM)-based optimization has recently shown promise for autonomous problem solving, yet most approaches still cast LLMs as passive constraint checkers rather than proactive strategy designers, limiting their…

Artificial Intelligence · Computer Science 2026-04-06 Beidan Liu , Zhengqiu Zhu , Chen Gao , Tianle Pu , Yong Zhao , Wei Qi , Quanjun Yin

Early advancements in convolutional neural networks (CNNs) architectures are primarily driven by human expertise and by elaborate design processes. Recently, neural architecture search was proposed with the aim of automating the network…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Zhichao Lu , Ian Whalen , Yashesh Dhebar , Kalyanmoy Deb , Erik Goodman , Wolfgang Banzhaf , Vishnu Naresh Boddeti

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

Combinatorics · Mathematics 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

Image reconstruction of low-count positron emission tomography (PET) data is challenging. Kernel methods address the challenge by incorporating image prior information in the forward model of iterative PET image reconstruction. The…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Siqi Li , Kuang Gong , Ramsey D. Badawi , Edward J. Kim , Jinyi Qi , Guobao Wang

The accuracy and complexity of machine learning algorithms based on kernel optimization are limited by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Computer Science 2020-06-16 Brendon K. Colbert , Matthew M. Peet

The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Statistics 2024-10-30 Aleksandr Talitckii , Brendon K. Colbert , Matthew M. Peet

We design two classes of ultra-fast meta-solvers for linear systems arising after discretizing PDEs by combining neural operators with either simple iterative solvers, e.g., Jacobi and Gauss-Seidel, or with Krylov methods, e.g., GMRES and…

Numerical Analysis · Mathematics 2024-12-03 Youngkyu Lee , Shanqing Liu , Jerome Darbon , George Em Karniadakis
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