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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

This work discusses single-objective constrained genetic algorithm with floating-point, integer, binary and permutation representation. Floating-point genetic algorithm tuning with use of test functions is done and leads to a…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Tomasz Tarkowski

Application of Genetic Algorithm (GA) for determination of parameters of an analytical representation of diatomic molecule potential is presented. GA can be used for finding potential characteristics of an electronic energy state which can…

Chemical Physics · Physics 2020-05-12 Tomasz Urbanczyk , Jaroslaw Koperski

Genetic algorithms (GAs) are an optimization technique that has been successfully used on many real-world problems. There exist different approaches to their theoretical study. In this paper we complete a recently presented approach to…

Neural and Evolutionary Computing · Computer Science 2017-07-04 Mauro Castelli , Gianpiero Cattaneo , Luca Manzoni , Leonardo Vanneschi

The rapid advances in the field of optimization methods in many pure and applied science pose the difficulty of keeping track of the developments as well as selecting an appropriate technique that best suits the problem in-hand. From a…

Neural and Evolutionary Computing · Computer Science 2011-12-30 Loris Serafino

How should statistical procedures be designed so as to be scalable computationally to the massive datasets that are increasingly the norm? When coupled with the requirement that an answer to an inferential question be delivered within a…

Machine Learning · Statistics 2013-10-01 Michael I. Jordan

Learning algorithms need bias to generalize and perform better than random guessing. We examine the flexibility (expressivity) of biased algorithms. An expressive algorithm can adapt to changing training data, altering its outcome based on…

Machine Learning · Statistics 2019-11-13 Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti , George D. Montanez

Here a genetic algorithm (GA) is presented that creates a teaching schedule for a university physics department by algorithmically assigning ${\sim}200$ classes to ${\sim}50$ professors for each of three academic terms per year. The…

Neural and Evolutionary Computing · Computer Science 2025-09-10 Tom Bensky , Karl Saunders

We study the problem of PAC learning $\gamma$-margin halfspaces with Random Classification Noise. We establish an information-computation tradeoff suggesting an inherent gap between the sample complexity of the problem and the sample…

Machine Learning · Computer Science 2023-06-29 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Puqian Wang , Nikos Zarifis

Sample average approximation (SAA), a popular method for tractably solving stochastic optimization problems, enjoys strong asymptotic performance guarantees in settings with independent training samples. However, these guarantees are not…

Optimization and Control · Mathematics 2021-12-13 Yafei Wang , Bo Pan , Wei Tu , Peng Liu , Bei Jiang , Chao Gao , Wei Lu , Shangling Jui , Linglong Kong

The valuation process that economic agents undergo for investments with uncertain payoff typically depends on their statistical views on possible future outcomes, their attitudes toward risk, and, of course, the payoff structure itself.…

Pricing of Securities · Quantitative Finance 2010-01-11 Constantinos Kardaras

We return to the geometry optimization problem of Lennard-Jones clusters to analyze the performance dependence of "cut and splice" genetic algorithms (GAs) on the employed population size. We generally find that admixing twinning mutation…

Materials Science · Physics 2015-05-13 Vladimir A. Froltsov , Karsten Reuter

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Generative Adversarial Networks (GAN) are generative neural networks which can be trained to implicitly model the…

Neural and Evolutionary Computing · Computer Science 2016-08-09 Malte Probst

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

Genetic switch systems with mutual repression of two transcription factors are studied using deterministic methods (rate equations) and stochastic methods (the master equation and Monte Carlo simulations). These systems exhibit bistability,…

Molecular Networks · Quantitative Biology 2007-05-23 Adiel Loinger , Azi Lipshtat , Nathalie Q. Balaban , Ofer Biham

We investigate a family of $(\mu+\lambda)$ Genetic Algorithms (GAs) which creates offspring either from mutation or by recombining two randomly chosen parents. By scaling the crossover probability, we can thus interpolate from a fully…

Neural and Evolutionary Computing · Computer Science 2021-02-16 Furong Ye , Hao Wang , Carola Doerr , Thomas Bäck

The compact genetic algorithm is an Estimation of Distribution Algorithm for binary optimisation problems. Unlike the standard Genetic Algorithm, no cross-over or mutation is involved. Instead, the compact Genetic Algorithm uses a virtual…

Neural and Evolutionary Computing · Computer Science 2017-08-08 Simon M. Lucas , Jialin Liu , Diego Pérez-Liébana

In this paper, we apply genetic algorithms to the field of electoral studies. Forecasting election results is one of the most exciting and demanding tasks in the area of market research, especially due to the fact that decisions have to be…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

Neural and Evolutionary Computing · Computer Science 2020-05-14 Karan Nayak
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