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For small number of equations, systems of linear (and sometimes nonlinear) equations can be solved by simple classical techniques. However, for large number of systems of linear (or nonlinear) equations, solutions using classical method…

Neural and Evolutionary Computing · Computer Science 2013-04-16 A. R. M. Jalal Uddin Jamali , M. M. A. Hashem , Md. Bazlar Rahman

The performance of most evolutionary metaheuristic algorithms relays on various operatives. One of them is the crossover operator, which is divided into two types: application dependent and application independent crossover operators. These…

Neural and Evolutionary Computing · Computer Science 2022-05-17 Aso M. Aladdin , Tarik A. Rashid

Although real-coded differential evolution (DE) algorithms can perform well on continuous optimization problems (CoOPs), it is still a challenging task to design an efficient binary-coded DE algorithm. Inspired by the learning mechanism of…

Neural and Evolutionary Computing · Computer Science 2014-05-13 Yu Chen , Weicheng Xie , Xiufen Zou

An arc-annotated string is a string of characters, called bases, augmented with a set of pairs, called arcs, each connecting two bases. Given arc-annotated strings $P$ and $Q$ the arc-preserving subsequence problem is to determine if $P$…

Data Structures and Algorithms · Computer Science 2010-09-09 Philip Bille , Inge Li Goertz

Much combinatorial optimisation problems constitute a non-polynomial (NP) hard optimisation problem, i.e., they can not be solved in polynomial time. One such problem is finding the shortest route between two nodes on a graph.…

Machine Learning · Statistics 2017-09-08 Alessandro Bay , Biswa Sengupta

Although differential evolution (DE) algorithms perform well on a large variety of complicated optimization problems, only a few theoretical studies are focused on the working principle of DE algorithms. To make the first attempt to reveal…

Neural and Evolutionary Computing · Computer Science 2022-08-16 Cong Wang , Jun He , Yu Chen , Xiufen Zou

This paper presents a new complex optimization problem in the field of automatic design of advanced industrial systems and proposes a hybrid optimization approach to solve the problem. The problem is multi-objective as it aims at finding…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Václav Jirkovský , Jiří Kubalík , Petr Kadera , Arnd Schirrmann , Andreas Mitschke , Andreas Zindel

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 Reinforcement Learning (ERL), which integrates Evolutionary Algorithms (EAs) and Reinforcement Learning (RL) for optimization, has demonstrated remarkable performance advancements. By fusing both approaches, ERL has emerged as…

Neural and Evolutionary Computing · Computer Science 2026-05-26 Pengyi Li , Jianye Hao , Hongyao Tang , Xian Fu , Yan Zheng , Ke Tang

In this article, we study the problem of finding the longest common separable pattern between several permutations. We give a polynomial-time algorithm when the number of input permutations is fixed and show that the problem is NP-hard for…

Combinatorics · Mathematics 2007-06-13 Mathilde Bouvel , Dominique Rossin , Stephane Vialette

3-SAT problem is of great importance to many technical and scientific applications. This paper presents a new hybrid evolutionary algorithm for solving this satisfiability problem. 3-SAT problem has the huge search space and hence it is…

Artificial Intelligence · Computer Science 2013-06-24 Nasser Lotfi , Jamshid Tamouk , Mina Farmanbar

This research proposes a novel indicator-based hybrid evolutionary approach that combines approximate and exact algorithms. We apply it to a new bi-criteria formulation of the travelling thief problem, which is known to the Evolutionary…

Artificial Intelligence · Computer Science 2018-02-08 Junhua Wu , Sergey Polyakovskiy , Markus Wagner , Frank Neumann

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

The multicut problem is an NP-hard combinatorial optimization problem with diverse applications in fields such as bioinformatics, data mining and computer vision. Graph neural networks have been defined for the multicut problem but can be…

Machine Learning · Computer Science 2026-05-14 Jannik Irmai , Lucas Fabian Naumann , Bjoern Andres

Evolutionary algorithms (EAs), simulating the evolution process of natural species, are used to solve optimization problems. Crossover (also called recombination), originated from simulating the chromosome exchange phenomena in zoogamy…

Neural and Evolutionary Computing · Computer Science 2012-06-06 Yang Yu , Chao Qian , Zhi-Hua Zhou

The high-throughput short-reads RNA-seq protocols often produce paired-end reads, with the middle portion of the fragments being unsequenced. We explore if the full-length fragments can be computationally reconstructed from the sequenced…

Genomics · Quantitative Biology 2023-10-06 Xiang Li , Mingfu Shao

The only rigorous approaches for achieving a numerical proof of optimality in global optimization are interval-based methods that interleave branching of the search-space and pruning of the subdomains that cannot contain an optimal…

Artificial Intelligence · Computer Science 2015-10-20 Charlie Vanaret , Jean-Baptiste Gotteland , Nicolas Durand , Jean-Marc Alliot

Machine learning algorithms have made significant advances in many applications. However, their hardware implementation on the state-of-the-art platforms still faces several challenges and are limited by various factors, such as memory…

Neural and Evolutionary Computing · Computer Science 2019-06-24 Xiaocong Du , Gokul Krishnan , Abinash Mohanty , Zheng Li , Gouranga Charan , Yu Cao

Given several number sequences, determining the longest common subsequence is a classical problem in computer science. This problem has applications in bioinformatics, especially determining transposable genes. Nevertheless, related works…

Genomics · Quantitative Biology 2023-11-21 Yue Wang

Recently, Hajirasouliha and Raphael (WABI 2014) proposed a model for deconvoluting mixed tumor samples measured from a collection of high-throughput sequencing reads. This is related to understanding tumor evolution and critical cancer…

Populations and Evolution · Quantitative Biology 2016-07-11 Ademir Hujdurović , Urša Kačar , Martin Milanič , Bernard Ries , Alexandru I. Tomescu