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Large-scale sparse multi-objective optimization problems (LSMOPs) are prevalent in real-world applications, where optimal solutions typically contain only a few nonzero variables, such as in adversarial attacks, critical node detection, and…

Neural and Evolutionary Computing · Computer Science 2026-03-13 Shuai Shao , Yuhao Sun , Xing Chen , Ye Tian , Guan Wang , Jin Li

Courcelle's theorem and its adaptations to cliquewidth have shaped the field of exact parameterized algorithms and are widely considered the archetype of algorithmic meta-theorems. In the past decade, there has been growing interest in…

Computational Complexity · Computer Science 2023-05-04 Jan Dreier , Robert Ganian , Thekla Hamm

In recent years, significant progress has been made in explaining the apparent hardness of improving upon the naive solutions for many fundamental polynomially solvable problems. This progress has come in the form of conditional lower…

Data Structures and Algorithms · Computer Science 2019-05-07 Marek Cygan , Marcin Mucha , Karol Węgrzycki , Michał Włodarczyk

Pareto optimization via evolutionary multi-objective algorithms has been shown to efficiently solve constrained monotone submodular functions. Traditionally when solving multiple problems, the algorithm is run for each problem separately.…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Liam Wigney , Frank Neumann

We describe the decomposition of QSO absorption line ensembles applying an evolutionary forward modelling technique. The modelling is optimized using an evolution strategy (ES) based on a novel concept of completely derandomized…

Astrophysics · Physics 2009-11-10 R. Quast , R. Baade , D. Reimers

Photomosaic images are a type of images consisting of various tiny images. A complete form can be seen clearly by viewing it from a long distance. Small tiny images which replace blocks of the original image can be seen clearly by viewing…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Yaodong He , Jianfeng Zhou , Shiu Yin Yuen

Exponential-time approximation has recently gained attention as a practical way to deal with the bitter NP-hardness of well-known optimization problems. We study for the first time the $(1 + \varepsilon)$-approximate min-sum subset…

Data Structures and Algorithms · Computer Science 2024-08-12 Mihail Stoian

This paper presents a new type of genetic algorithm for the set covering problem. It differs from previous evolutionary approaches first because it is an indirect algorithm, i.e. the actual solutions are found by an external decoder…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Randomized search heuristics such as evolutionary algorithms are frequently applied to dynamic combinatorial optimization problems. Within this paper, we present a dynamic model of the classic Weighted Vertex Cover problem and analyze the…

Neural and Evolutionary Computing · Computer Science 2020-01-27 Feng Shi , Frank Neumann , Jianxin Wang

We extend the work of Narasimhan and Bilmes [30] for minimizing set functions representable as a dierence between submodular functions. Similar to [30], our new algorithms are guaranteed to monotonically reduce the objective function at…

Machine Learning · Computer Science 2014-08-12 Rishabh Iyer , Jeff A. Bilmes

Recent research has examined algorithms to minimize robots' resource footprints. The class of combinatorial filters (discrete variants of widely-used probabilistic estimators) has been studied and methods for reducing their space…

Discrete Mathematics · Computer Science 2022-02-01 Yulin Zhang , Dylan A. Shell

Runtime analysis has recently been applied to popular evolutionary multi-objective (EMO) algorithms like NSGA-II in order to establish a rigorous theoretical foundation. However, most analyses showed that these algorithms have the same…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Duc-Cuong Dang , Andre Opris , Dirk Sudholt

Mixture modeling is a general technique for making any simple model more expressive through weighted combination. This generality and simplicity in part explains the success of the Expectation Maximization (EM) algorithm, in which updates…

Machine Learning · Statistics 2016-03-29 Sida I. Wang , Arun Tejasvi Chaganty , Percy Liang

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

Neural and Evolutionary Computing · Computer Science 2014-04-23 Boris Mitavskiy , Jun He

In this paper, we investigate a class of submodular problems which in general are very hard. These include minimizing a submodular cost function under combinatorial constraints, which include cuts, matchings, paths, etc., optimizing a…

Machine Learning · Computer Science 2019-02-28 Rishabh Iyer , Jeff Bilmes

Submodular functions play a key role in the area of optimization as they allow to model many real-world problems that face diminishing returns. Evolutionary algorithms have been shown to obtain strong theoretical performance guarantees for…

A new algorithm, termed subspace evolution and transfer (SET), is proposed for solving the consistent matrix completion problem. In this setting, one is given a subset of the entries of a low-rank matrix, and asked to find one low-rank…

Information Theory · Computer Science 2010-02-03 Wei Dai , Olgica Milenkovic

A core feature of evolutionary algorithms is their mutation operator. Recently, much attention has been devoted to the study of mutation operators with dynamic and non-uniform mutation rates. Following up on this line of work, we propose a…

Data Structures and Algorithms · Computer Science 2018-11-22 Tobias Friedrich , Andreas Göbel , Francesco Quinzan , Markus Wagner

In general Evolutionary Computation (EC) includes a number of optimization methods inspired by biological mechanisms of evolution. The methods catalogued in this area use the Darwinian principles of life evolution to produce algorithms that…

Artificial Intelligence · Computer Science 2012-04-11 José A. García Gutiérrez , Carlos Cotta , Antonio J. Fernández-Leiva

Numerous multi-objective optimization problems encounter with a number of fitness functions to be simultaneously optimized of which their mutual preferences are not inherently known. Suffering from the lack of underlying generative models,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-20 Arash Broumand
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