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In this paper we propose the first effective automated, genetic algorithm (GA)-based jigsaw puzzle solver. We introduce a novel procedure of merging two "parent" solutions to an improved "child" solution by detecting, extracting, and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

In this paper we propose the first effective genetic algorithm (GA)-based jigsaw puzzle solver. We introduce a novel crossover procedure that merges two "parent" solutions to an improved "child" configuration by detecting, extracting, and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

In this paper we propose the first genetic algorithm (GA)-based solver for jigsaw puzzles of unknown puzzle dimensions and unknown piece location and orientation. Our solver uses a novel crossover technique, and sets a new state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

Zen Puzzle Garden (ZPG) is a one-player puzzle game. In this paper, we prove that deciding the solvability of ZPG is NP-complete.

Computational Complexity · Computer Science 2011-06-13 Robin Houston , Joseph White , Martyn Amos

Many games are reliant on creating new and engaging content constantly to maintain the interest of their player-base. One such example are puzzle games, in such it is common to have a recurrent need to create new puzzles. Creating new…

Neural and Evolutionary Computing · Computer Science 2023-02-23 Karine Levonyan , Jesse Harder , Fernando De Mesentier Silva

Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique…

Neural and Evolutionary Computing · Computer Science 2013-06-20 Tanistha Nayak , Tirtharaj Dash

Nowadays genetic algorithm (GA) is greatly used in engineering pedagogy as an adaptive technique to learn and solve complex problems and issues. It is a meta-heuristic approach that is used to solve hybrid computation challenges. GA…

Other Computer Science · Computer Science 2020-07-27 Tanweer Alam , Shamimul Qamar , Amit Dixit , Mohamed Benaida

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

In this work, we show how a genetic algorithm (GA) can be used to find step-by-step solutions to introductory physics problems. Our perspective is that the underlying task for this is one of finding a sequence of equations that will lead to…

Neural and Evolutionary Computing · Computer Science 2025-08-18 Tom Bensky , Justin Kopcinski

Genetic Algorithms (GAs) are known for their efficiency in solving combinatorial optimization problems, thanks to their ability to explore diverse solution spaces, handle various representations, exploit parallelism, preserve good…

Neural and Evolutionary Computing · Computer Science 2023-09-29 Majid Sohrabi , Amir M. Fathollahi-Fard , Vasilii A. Gromov

A genetic algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. We present an algorithm which enhances the classical GA with input from quantum annealers. As in a classical GA,…

Quantum Physics · Physics 2022-09-16 Steven Abel , Luca A. Nutricati , Michael Spannowsky

This paper explores adaptive problem solving with a game designed to support the development of problem-solving skills. Using an adaptive, AI-powered puzzle game, our adaptive problem-solving system dynamically generates pathfinding-based…

Artificial Intelligence · Computer Science 2025-12-09 Matthew McConnell , Richard Zhao

Genetic Algorithms (GA) are a powerful tool for stochastic optimisation and non-parametric symbolic regression, already widely used in cosmology. They are capable of reconstructing analytical functions directly from data points without…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-16 Matteo Peronaci , Matteo Martinelli , Savvas Nesseris

Genetic Algorithms (GAs) are used to solve search and optimization problems in which an optimal solution can be found using an iterative process with probabilistic and non-deterministic transitions. However, depending on the problem's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matheus F. Torquato , Marcelo A. C. Fernandes

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

In this paper we introduce new types of square-piece jigsaw puzzles, where in addition to the unknown location and orientation of each piece, a piece might also need to be flipped. These puzzles, which are associated with a number of real…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

There have been extensive works dealing with genetic algorithms (GAs) for seeking optimal solutions of shop scheduling problems. Due to the NP hardness, the time cost is always heavy. With the development of high performance computing (HPC)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-09 Jia Luo , Didier El Baz

This note presents a simple and effective variation of genetic algorithm (GA) for solving RCPSP, denoted as 2-Phase Genetic Algorithm (2PGA). The 2PGA implements GA parent selection in two phases: Phase-1 includes the best current solutions…

Neural and Evolutionary Computing · Computer Science 2025-09-04 D. Sun , S. Zhou

Genetic algorithms (GAs) emulate the process of biological evolution, in a computational setting, in order to generate good solutions to difficult search and optimisation problems. GA-based optimisers tend to be extremely robust and…

Instrumentation and Methods for Astrophysics · Physics 2012-02-09 Vinesh Rajpaul

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
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