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We introduce a general class of algorithms and supply a number of general results useful for analysing these algorithms when applied to regular graphs of large girth. As a result, we can transfer a number of results proved for random…

Combinatorics · Mathematics 2017-03-06 Carlos Hoppen , Nicholas Wormald

In this paper a Metaheuristic approach for solving the N-Queens Problem is introduced to find the best possible solution in a reasonable amount of time. Genetic Algorithm is used with a novel fitness function as the Metaheuristic. The aim…

Neural and Evolutionary Computing · Computer Science 2018-02-07 Uddalok Sarkar , Sayan Nag

We provide a novel new approach for aligning geometric models using a dual graph structure where local features are mapping probabilities. Alignment of non-rigid structures is one of the most challenging computer vision tasks due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Dvir Ginzburg , Dan Raviv

Gravitational-wave detection strategies are based on a signal analysis technique known as matched filtering. Despite the success of matched filtering, due to its computational cost, there has been recent interest in developing deep…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Dwyer S. Deighan , Scott E. Field , Collin D. Capano , Gaurav Khanna

This paper studies the Craig variant of the Golub-Kahan bidiagonalization algorithm as an iterative solver for linear systems with saddle point structure. Such symmetric indefinite systems in 2x2 block form arise in many applications, but…

Computational Engineering, Finance, and Science · Computer Science 2018-08-24 Mario Arioli , Carola Kruse , Ulrich Ruede , Nicolas Tardieu

In this paper the Sudoku problem is solved using stochastic search techniques and these are: Cultural Genetic Algorithm (CGA), Repulsive Particle Swarm Optimization (RPSO), Quantum Simulated Annealing (QSA) and the Hybrid method that…

Neural and Evolutionary Computing · Computer Science 2012-04-25 Meir Perez , Tshilidzi Marwala

In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is that such functions can approximate typical test cases, such…

Numerical Analysis · Mathematics 2024-01-19 Leon Frischauf , Otmar Scherzer , Cong Shi

Genetic Algorithms (GA) are a class of metaheuristic global optimization methods inspired by the process of natural selection among individuals in a population. Despite their widespread use, a comprehensive theoretical analysis of these…

Optimization and Control · Mathematics 2025-02-24 Giacomo Borghi , Lorenzo Pareschi

The implementation of adaptive genetic algorithms (AGA) for optimization problems has proven to be superior than many other methods due to its nature of producing more robust and high quality solutions. Considering the complexity involved…

Computational Physics · Physics 2024-11-28 Brandon Willnecker , Mervlyn Moodley

Automated assembly of 3D fractures is essential in orthopedics, archaeology, and our daily life. This paper presents Jigsaw, a novel framework for assembling physically broken 3D objects from multiple pieces. Our approach leverages…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Jiaxin Lu , Yifan Sun , Qixing Huang

This paper introduces a new class of algorithms for solving large-scale linear inverse problems based on new flexible and inexact Golub-Kahan factorizations. The proposed methods iteratively compute regularized solutions by approximating a…

Numerical Analysis · Mathematics 2025-10-22 Malena Sabaté Landman , Silvia Gazzola

A probabilistic representation for initial value semilinear parabolic problems based on generalized random trees has been derived. Two different strategies have been proposed, both requiring generating suitable random trees combined with a…

Numerical Analysis · Mathematics 2024-02-13 Juan A. Acebron , Angel Rodriguez-Rozas

Genetic Algorithm (GA) is a popular meta-heuristic evolutionary algorithm that uses stochastic operators to find optimal solution and has proved its effectiveness in solving many complex optimization problems (such as classification,…

Neural and Evolutionary Computing · Computer Science 2023-05-02 Fahad Maqbool , Muhammad Saad Razzaq , Hajira Jabeen

We present a genetic algorithm for the atomistic design and global optimisation of substitutionally disordered bulk materials and surfaces. Premature convergence which hamper conventional genetic algorithms due to problems with…

Materials Science · Physics 2008-09-10 Chris E. Mohn , Walter Kob

Machine learning based partial differential equations (PDEs) solvers have received great attention in recent years. Most progress in this area has been driven by deep neural networks such as physics-informed neural networks (PINNs) and…

Numerical Analysis · Mathematics 2025-09-23 Chunyang Liao

Non-dominated Sorting Genetic Algorithm (NSGA) has established itself as a benchmark algorithm for Multiobjective Optimization. The determination of pareto-optimal solutions is the key to its success. However the basic algorithm suffers…

Data Structures and Algorithms · Computer Science 2010-03-25 Rio G. L. D'Souza , K. Chandra Sekaran , A. Kandasamy

Solving inverse problems continues to be a challenge in a wide array of applications ranging from deblurring, image inpainting, source separation etc. Most existing techniques solve such inverse problems by either explicitly or implicitly…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Timo Bremer

This paper proposes a novel Machine Learning-based approach to solve a Poisson problem with mixed boundary conditions. Leveraging Graph Neural Networks, we develop a model able to process unstructured grids with the advantage of enforcing…

We introduce a Genetic Algorithm (GA) based, open-source project to solve multi-objective optimization problems of materials characterization data analysis including EXAFS, XPS and nanoindentation. The modular design and multiple crossover…

Neural and Evolutionary Computing · Computer Science 2022-03-22 Miu Lun Lau , Min Long , Jeff Terry

We present a probabilistic approach for building, on the fly, 3-D models of unknown objects while being manipulated by a robot. We specifically consider manipulation tasks in piles of clutter that contain previously unseen objects. Most…

Robotics · Computer Science 2019-03-15 Changkyu Song , Abdeslam Boularias