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We propose a novel algorithm, TR-SVR, for solving unconstrained stochastic optimization problems. This method builds on the trust-region framework, which effectively balances local and global exploration in optimization tasks. TR-SVR…

Optimization and Control · Mathematics 2024-12-03 Xinshou Zheng

In this paper, we perform theoretical analyses on the behaviour of an evolutionary algorithm and a randomised search algorithm for the dynamic vertex cover problem based on its dual formulation. The dynamic vertex cover problem has already…

Data Structures and Algorithms · Computer Science 2019-03-07 Mojgan Pourhassan , Vahid Roostapour , Frank Neumann

Large language models (LLMs) have greatly accelerated the automation of algorithm generation and optimization. However, current methods such as EoH and FunSearch mainly rely on predefined templates and expert-specified functions that focus…

Software Engineering · Computer Science 2025-03-17 Zhe Zhao , Haibin Wen , Pengkun Wang , Ye Wei , Zaixi Zhang , Xi Lin , Fei Liu , Bo An , Hui Xiong , Yang Wang , Qingfu Zhang

We propose a scalable method for computing global solutions of nonlinear, high-dimensional dynamic stochastic economic models. First, within a time iteration framework, we approximate economic policy functions using an adaptive,…

General Economics · Economics 2022-02-15 Aryan Eftekhari , Simon Scheidegger

Learning classifier systems (LCSs) are evolutionary machine learning algorithms, flexible enough to be applied to reinforcement, supervised and unsupervised learning problems with good performance. Recently, self organizing classifiers were…

Neural and Evolutionary Computing · Computer Science 2018-11-21 Danilo Vasconcellos Vargas , Hirotaka Takano , Junichi Murata

Parameter-efficient transfer learning (PETL) aims to adapt large pre-trained models using limited parameters. While most PETL approaches update the added parameters and freeze pre-trained weights during training, the minimal impact of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Ruizi Han , Jinglei Tang

In Constraint Programming, solving discrete minimization problems with hard and soft constraints can be done either using (i) soft global constraints, (ii) a reformulation into a linear program, or (iii) a reformulation into local cost…

Artificial Intelligence · Computer Science 2025-09-24 Pierre Montalbano , Simon de Givry , George Katsirelos

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

Optimization and Control · Mathematics 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang

Open-pit mine scheduling is a complex real world optimization problem that involves uncertain economic values and dynamically changing resource capacities. Evolutionary algorithms are particularly effective in these scenarios, as they can…

Neural and Evolutionary Computing · Computer Science 2026-04-16 Ishara Hewa Pathiranage , Aneta Neumann

Single-objective bilevel optimization is a specialized form of constraint optimization problems where one of the constraints is an optimization problem itself. These problems are typically non-convex and strongly NP-Hard. Recently, there…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Anuraganand Sharma

The development, assessment, and comparison of randomized search algorithms heavily rely on benchmarking. Regarding the domain of constrained optimization, the number of currently available benchmark environments bears no relation to the…

Neural and Evolutionary Computing · Computer Science 2018-07-27 Michael Hellwig , Hans-Georg Beyer

Complex single-objective bounded problems are often difficult to solve. In evolutionary computation methods, since the proposal of differential evolution algorithm in 1997, it has been widely studied and developed due to its simplicity and…

Neural and Evolutionary Computing · Computer Science 2024-04-26 Sichen Tao , Ruihan Zhao , Kaiyu Wang , Shangce Gao

Computing a Single-Linkage Dendrogram (SLD) is a key step in the classic single-linkage hierarchical clustering algorithm. Given an input edge-weighted tree $T$, the SLD of $T$ is a binary dendrogram that summarizes the $n-1$ clusterings…

Data Structures and Algorithms · Computer Science 2024-05-14 Laxman Dhulipala , Xiaojun Dong , Kishen N Gowda , Yan Gu

Symbolic regression (SR), the task of discovering mathematical expressions that best describe a given dataset, remains a fundamental challenge in scientific discovery. Traditional approaches, primarily based on genetic algorithms and…

Artificial Intelligence · Computer Science 2026-05-06 Hao Liu , Xiao-Wen Yang , Atharva Sehgal , Yixin Wang , Lan-Zhe Guo , Yu-Feng Li , Yisong Yue

Theoretical analyses of evolution strategies are indispensable for gaining a deep understanding of their inner workings. For constrained problems, rather simple problems are of interest in the current research. This work presents a…

Neural and Evolutionary Computing · Computer Science 2019-08-12 Patrick Spettel , Hans-Georg Beyer

In this paper, an evolutionary strategy (ES) method is introduced as an optimization approach to solve problems in the manufacturing area. The ES method is applied to a case study for milling operations. The results show that it can…

Optimization and Control · Mathematics 2015-01-08 Zhixin Yang

Genetic Programming yields interpretable programs, but small syntactic mutations can induce large, unpredictable behavioral shifts, degrading locality and sample efficiency. We frame this as an operator-design problem: learn a continuous…

Machine Learning · Computer Science 2026-02-10 Matthew Siper , Muhammad Umair Nasir , Ahmed Khalifa , Lisa Soros , Jay Azhang , Julian Togelius

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used…

Information Theory · Computer Science 2017-02-23 Vardan Papyan , Jeremias Sulam , Michael Elad

Local search is a fundamental optimization technique that is both widely used in practice and deeply studied in theory, yet its computational complexity remains poorly understood. The traditional frameworks, PLS and the standard algorithm…

Computational Complexity · Computer Science 2026-01-05 Robert Ganian , Hung P. Hoang , Christian Komusiewicz , Nils Morawietz