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Evolutionary algorithms are metaheuristic techniques that derive inspiration from the natural process of evolution. They can efficiently solve (generate acceptable quality of solution in reasonable time) complex optimization (NP-Hard)…

Computer Vision and Pattern Recognition · Computer Science 2013-12-20 Anupriya Gogna , Akash Tayal

Deep generative models can learn to generate realistic-looking images, but many of the most effective methods are adversarial and involve a saddlepoint optimization, which requires a careful balancing of training between a generator network…

Machine Learning · Statistics 2020-02-18 Akash Srivastava , Kai Xu , Michael U. Gutmann , Charles Sutton

Non-orthogonal communication is a promising technique for future wireless networks (e.g., 6G and Wi-Fi 7). In the vector channel model, designing efficient non-orthogonal communication schemes amounts to the following extremum problem: \[…

Metric Geometry · Mathematics 2021-05-11 Gergely Ambrus , Bo Bai , Jianfeng Hou

This study explores the application of genetic algorithms in generating highly nonlinear substitution boxes (S-boxes) for symmetric key cryptography. We present a novel implementation that combines a genetic algorithm with the…

Cryptography and Security · Computer Science 2026-04-13 Oleksandr Kuznetsov , Nikolay Poluyanenko , Emanuele Frontoni , Marco Arnesano , Oleksii Smirnov

Topology diagrams are widely seen in power system applications, but their automatic generation is often easier said than done. When facing power transmission systems with strongly-meshed structures, existing approaches can hardly produce…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Jingyu Wang , Jinfu Chen , Dongyuan Shi , Xianzhong Duan

Orthogonal drawings, i.e., embeddings of graphs into grids, are a classic topic in Graph Drawing. Often the goal is to find a drawing that minimizes the number of bends on the edges. A key ingredient for bend minimization algorithms is the…

Computational Geometry · Computer Science 2019-03-13 Benjamin Niedermann , Ignaz Rutter , Matthias Wolf

The properties of lattice-based structures can be enhanced by varying their geometric parameters in a graded manner, and the gradation can be tailored to extremize a particular objective. In this manuscript, we propose a non-gradient-based…

Computational Physics · Physics 2026-04-07 Piyush Agrawal , Manish Agrawal

An algorithm which computes a solution of a set optimization problem is provided. The graph of the objective map is assumed to be given by finitely many linear inequalities. A solution is understood to be a set of points in the domain…

Optimization and Control · Mathematics 2014-05-29 Andreas Löhne , Carola Schrage

Vectorial Genetic Programming (Vec-GP) extends GP by allowing vectors as input features along regular, scalar features, using them by applying arithmetic operations component-wise or aggregating vectors into scalars by some aggregation…

Neural and Evolutionary Computing · Computer Science 2023-03-07 Philipp Fleck , Stephan Winkler , Michael Kommenda , Michael Affenzeller

This paper proposes Genetic Algorithm with Border Trades (GAB), a novel modification of the standard genetic algorithm that enhances exploration by incorporating new chromosome patterns in the breeding process. This approach significantly…

Machine Learning · Computer Science 2025-06-27 Qingchuan Lyu

Optimization problem, nowadays, have more application in all major but they have problem in computation. Calculation of the optimum point in the spaces with the above dimensions is very time consuming. In this paper, there is presented a…

Neural and Evolutionary Computing · Computer Science 2013-07-24 Masoumeh Vali

We consider the densest submatrix problem, which seeks the submatrix of fixed size of a given binary matrix that contains the most nonzero entries. This problem is a natural generalization of fundamental problems in combinatorial…

Optimization and Control · Mathematics 2026-03-13 Valentine Olanubi , Phineas Agar , Brendan Ames

The ability to compare two degenerate probability distributions (i.e. two probability distributions supported on two distinct low-dimensional manifolds living in a much higher-dimensional space) is a crucial problem arising in the…

Machine Learning · Statistics 2017-10-23 Aude Genevay , Gabriel Peyré , Marco Cuturi

This paper presents a novel paradigm in simulation-based engineering sciences by introducing a new framework called Generative Parametric Design (GPD). The GPD framework enables the generation of new designs along with their corresponding…

Computational Engineering, Finance, and Science · Computer Science 2025-12-15 Mohammed El Fallaki Idrissi , Jad Mounayer , Sebastian Rodriguez , Fodil Meraghni , Francisco Chinesta

The article proposes an n-dimensional mathematical model of the visual representation of a linear programming problem. This model makes it possible to use artificial neural networks to solve multidimensional linear optimization problems,…

Optimization and Control · Mathematics 2022-08-18 Nikolay A. Olkhovsky , Leonid B. Sokolinsky

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

Neural and Evolutionary Computing · Computer Science 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen

Packing problems are in general NP-hard, even for simple cases. Since now there are no highly efficient algorithms available for solving packing problems. The two-dimensional bin packing problem is about packing all given rectangular items,…

Neural and Evolutionary Computing · Computer Science 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

This document introduces a strategy to solve linear optimization problems. The strategy is based on the bounding condition each constraint produces on each one of the problem's dimension. The solution of a linear optimization problem is…

Optimization and Control · Mathematics 2018-09-24 Gerardo L. Febres

Low-light image enhancement remains an open problem, and the new wave of artificial intelligence is at the center of this problem. This work describes the use of genetic algorithms for optimizing analytical models that can improve the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Axel Martinez , Emilio Hernandez , Matthieu Olague , Gustavo Olague

We propose a genetic-algorithm-based method to find the unitary transformations for any desired quantum computation. We formulate a simple genetic algorithm by introducing the "genetic parameter vector" of the unitary transformations to be…

Quantum Physics · Physics 2015-01-08 Jeongho Bang , Seokwon Yoo
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