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We present a pseudopolynomial-time algorithm for the Knapsack problem that has running time $\widetilde{O}(n + t\sqrt{p_{\max}})$, where $n$ is the number of items, $t$ is the knapsack capacity, and $p_{\max}$ is the maximum item profit.…

Data Structures and Algorithms · Computer Science 2024-07-02 Karl Bringmann , Anita Dürr , Adam Polak

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

Neural and Evolutionary Computing · Computer Science 2020-04-22 Yiming Peng , Hisao Ishibuchi

The \Problem{knapsack} problem is a fundamental problem in combinatorial optimization. It has been studied extensively from theoretical as well as practical perspectives as it is one of the most well-known NP-hard problems. The goal is to…

Computer Science and Game Theory · Computer Science 2018-12-03 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Saeed Seddighin , Cliff Stein

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

In this paper, a novel mutation operator of differential evolution algorithm is proposed. A new algorithm called divergence differential evolution algorithm (DDEA) is developed by combining the new mutation operator with divergence operator…

Neural and Evolutionary Computing · Computer Science 2011-08-18 Yifeng Gao , Shuhong Gong , Ge Zhao

Two weighted selection combining (WSC) schemes are proposed for a differential decode-and-forward relaying system in Rayleigh fading channels. Compared to the conventional selection combining scheme, the decision variable of the relay link…

Information Theory · Computer Science 2017-08-02 Yi Lou , Qiyue Yu , Julian Cheng , Honglin Zhao

In this article, we illustrate an algorithm for the computation of the weight distribution of CRC codes. The recursive structure of CRC codes will give us an iterative way to compute the weight distribution of their dual codes starting from…

Information Theory · Computer Science 2007-07-13 Felice Manganiello

Decomposition has been the mainstream approach in classic mathematical programming for multi-objective optimization and multi-criterion decision-making. However, it was not properly studied in the context of evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2024-10-23 Ke Li

Evolutionary algorithms (EAs) have emerged as a powerful framework for optimization, especially for black-box optimization. Existing evolutionary algorithms struggle to comprehend and effectively utilize task-specific information for…

Neural and Evolutionary Computing · Computer Science 2024-12-24 Kai Wu , Xiaobin Li , Penghui Liu , Jing Liu

Variational quantum algorithms, such as the Recursive Quantum Approximate Optimization Algorithm (RQAOA), have become increasingly popular, offering promising avenues for employing Noisy Intermediate-Scale Quantum devices to address…

Emerging Technologies · Computer Science 2025-06-04 Shuaiqun Pan , Yash J. Patel , Aneta Neumann , Frank Neumann , Thomas Bäck , Hao Wang

This work presents two new algorithms for performing constraint satisfaction. The first algorithm presented, DMaxWalkSat, is a constraint solver specialized for solving dynamic, weighted constraint satisfaction problems. The second…

Artificial Intelligence · Computer Science 2015-07-23 Gregory Hasseler

Self-evolution methods enhance code generation through iterative "generate-verify-refine" cycles, yet existing approaches suffer from low exploration efficiency, failing to discover solutions with superior complexity within limited budgets.…

Computation and Language · Computer Science 2026-02-13 Tu Hu , Ronghao Chen , Shuo Zhang , Jianghao Yin , Mou Xiao Feng , Jingping Liu , Shaolei Zhang , Wenqi Jiang , Yuqi Fang , Sen Hu , Huacan Wang , Yi Xu

An important challenge in reinforcement learning, including evolutionary robotics, is to solve multimodal problems, where agents have to act in qualitatively different ways depending on the circumstances. Because multimodal problems are…

Neural and Evolutionary Computing · Computer Science 2019-12-12 Joost Huizinga , Jeff Clune

The weighted ensemble (WE) method, an enhanced sampling approach based on periodically replicating and pruning trajectories in a set of parallel simulations, has grown increasingly popular for computational biochemistry problems, due in…

Computational Physics · Physics 2023-06-23 D. Aristoff , J. Copperman , G. Simpson , R. J. Webber , D. M. Zuckerman

The weighted OWA (WOWA) is a function that aggregates a set of values with weights assigned based on the rank and relative importance of each value. The weighted OWA of uncertain objective functions can generalize many of the criteria that…

Optimization and Control · Mathematics 2021-04-16 Jaeyoong Lim , Sungsoo Park

Large-scale optimization problems that involve thousands of decision variables have extensively arisen from various industrial areas. As a powerful optimization tool for many real-world applications, evolutionary algorithms (EAs) fail to…

Neural and Evolutionary Computing · Computer Science 2023-09-26 Peng Yang , Ke Tang , Xin Yao

Classification accuracy provided by a machine learning model depends a lot on the feature set used in the learning process. Feature Selection (FS) is an important and challenging pre-processing technique which helps to identify only the…

Machine Learning · Computer Science 2020-09-01 Ritam Guha , Manosij Ghosh , Shyok Mutsuddi , Ram Sarkar , Seyedali Mirjalili

Evolutionary algorithms (EAs) serve as powerful black-box optimizers inspired by biological evolution. However, most existing EAs predominantly focus on heuristic operators such as crossover and mutation, while usually overlooking…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Kaichen Ouyang , Mingyang Yu , Zong Ke , Junbo Jacob Lian , Shengwei Fu , Xiaoyang Hao , Shengju Yu , Dayu Hu

In this paper, the dynamic constrained optimization problem of weights adaptation for heterogeneous epidemic spreading networks is investigated. Due to the powerful ability of searching global optimum, evolutionary algorithms are employed…

Neural and Evolutionary Computing · Computer Science 2024-12-20 Yun Feng , Bing-Chuan Wang

One important classifier ensemble for multiclass classification problems is Error-Correcting Output Codes (ECOCs). It bridges multiclass problems and binary-class classifiers by decomposing multiclass problems to a serial binary-class…

Machine Learning · Computer Science 2014-04-24 Xiao-Lei Zhang
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