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Total variation integer optimal control problems admit solutions and necessary optimality conditions via geometric variational analysis. In spite of the existence of said solutions, algorithms which solve the discretized objective suffer…

Optimization and Control · Mathematics 2025-08-07 Robert Baraldi , Paul Manns

Many real-world optimization problems such as engineering design can be eventually modeled as the corresponding multiobjective optimization problems (MOPs) which must be solved to obtain approximate Pareto optimal fronts. Multiobjective…

Neural and Evolutionary Computing · Computer Science 2021-11-12 Wang Chen , Jian Chen , Weitian Wu , Xinmin Yang , Hui Li

The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product…

Optimization and Control · Mathematics 2019-04-25 Sergey Kabanikhin , Olga Krivorotko , Maktagali Bektemessov , Zholaman Bektemessov , Shuhua Zhang

In this paper we introduce a new classification algorithm called Optimization of Distributions Differences (ODD). The algorithm aims to find a transformation from the feature space to a new space where the instances in the same class are as…

Machine Learning · Computer Science 2017-03-06 Mohammad Reza Bonyadi , Quang M. Tieng , David C. Reutens

In this paper, we analyze the convergence of several discretize-then-optimize algorithms, based on either a second-order or a fourth-order finite difference discretization, for solving elliptic PDE-constrained optimization or optimal…

Numerical Analysis · Mathematics 2018-08-14 Jun Liu , Zhu Wang

Evolutionary computation techniques have mostly been used to solve various optimization and learning problems successfully. Evolutionary algorithm is more effective to gain optimal solution(s) to solve complex problems than traditional…

Neural and Evolutionary Computing · Computer Science 2013-03-05 Moslema Jahan , M. M. A. Hashem , Gazi Abdullah Shahriar

Evolutionary algorithms have been successful in solving multi-objective optimization problems (MOPs). However, as a class of population-based search methodology, evolutionary algorithms require a large number of evaluations of the objective…

Neural and Evolutionary Computing · Computer Science 2024-08-16 Xueming Yan , Yaochu Jin

Existing studies have shown that the conventional multi-objective evolutionary algorithms (MOEAs) based on decomposition may lose the population diversity when solving some many-objective optimization problems. In this paper, a simple…

Neural and Evolutionary Computing · Computer Science 2018-06-29 Yingyu Zhang , Bing Zeng

This paper presents an Iterated Tabu Search algorithm (denoted by ITS-PUCC) for solving the problem of Packing Unequal Circles in a Circle. The algorithm exploits the continuous and combinatorial nature of the unequal circles packing…

Optimization and Control · Mathematics 2013-06-05 Tao Ye , Wenqi Huang , Zhipeng Lu

Differential evolution (DE) is an effective population-based metaheuristic algorithm for solving complex optimisation problems. However, the performance of DE is sensitive to the mutation operator. In this paper, we propose a novel DE…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Seyed Jalaleddin Mousavirad , Gerald Schaefer , Iakov Korovin , Mahshid Helali Moghadam , Mehrdad Saadatmand , Mahdi Pedram

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tao Xu , Jun He

Differential evolution(DE) is a conventional algorithm with fast convergence speed. However, DE may be trapped in local optimal solution easily. Many researchers devote themselves to improving DE. In our previously work, whale swarm…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Haozhen Dong , Liang Gao , Xinyu Li , Haoran Zhong , Bing Zeng

Differential evolution (DE) is a well-known type of evolutionary algorithms (EA). Similarly to other EA variants it can suffer from small populations and loose diversity too quickly. This paper presents a new approach to mitigate this…

Neural and Evolutionary Computing · Computer Science 2020-02-10 Jakub M. Tomczak , Ewelina Weglarz-Tomczak , Agoston E. Eiben

A recently new intelligent optimization algorithm called discrete state transition algorithm is considered in this study, for solving unconstrained integer optimization problems. Firstly, some key elements for discrete state transition…

Optimization and Control · Mathematics 2016-04-05 Xiaojun Zhou

Best subset selection is considered the `gold standard' for many sparse learning problems. A variety of optimization techniques have been proposed to attack this non-smooth non-convex problem. In this paper, we investigate the dual forms of…

Machine Learning · Computer Science 2024-12-31 Shaogang Ren , Xiaoning Qian

Process discovery approaches analyze the business data to automatically uncover structured information, known as a process model. The quality of a process model is measured using quality dimensions -- completeness (replay fitness),…

Neural and Evolutionary Computing · Computer Science 2024-06-26 Sonia Deshmukh , Shikha Gupta , Naveen Kumar

Differential Evolution (DE) is a widely used evolutionary algorithm for black-box optimization problems. However, in modern DE implementations, a major challenge lies in the limited population diversity caused by the fixed population size…

Neural and Evolutionary Computing · Computer Science 2025-06-18 Tomofumi Kitamura , Alex Fukunaga

In this paper, a heuristic method based on TabuSearch and TokenRing Search is being used in order to solve the Portfolio Optimization Problem. The seminal mean-variance model of Markowitz is being considered with the addition of cardinality…

Portfolio Management · Quantitative Finance 2022-12-01 Taylan Kabbani

In bi-objective integer optimization the optimal result corresponds to a set of non-dominated solutions. We propose a generic bi-objective branch-and-bound algorithm that uses a problem-independent branching rule exploiting available…

Data Structures and Algorithms · Computer Science 2018-09-19 Sophie N. Parragh , Fabien Tricoire

In this set of papers we formulate a stand alone method to derive maximal number of linearizing transformations for nonlinear ordinary differential equations (ODEs) of any order including coupled ones from a knowledge of fewer number of…

Exactly Solvable and Integrable Systems · Physics 2012-01-26 V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan