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Related papers: Exploring symbolic regression and genetic algorith…

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The high-energy physics community is investigating the potential of deploying machine-learning-based solutions on Field-Programmable Gate Arrays (FPGAs) to enhance physics sensitivity while still meeting data processing time constraints. In…

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

Symbolic regression (SR) models complex systems by discovering mathematical expressions that capture underlying relationships in observed data. However, most SR methods prioritize minimizing prediction error over identifying the governing…

Machine Learning · Computer Science 2026-03-31 Giorgio Morales , John W. Sheppard

We present SHEEP, a new machine learning approach to the classic problem of astronomical source classification, which combines the outputs from the XGBoost, LightGBM, and CatBoost learning algorithms to create stronger classifiers. A novel…

Instrumentation and Methods for Astrophysics · Physics 2022-10-19 P. A. C. Cunha , A. Humphrey

This paper explores the application of machine learning methods for classifying astronomical sources using photometric data, including normal and emission line galaxies (ELGs; starforming, starburst, AGN, broad line), quasars, and stars. We…

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

Context. Mathematical optimization can be used as a computational tool to obtain the optimal solution to a given problem in a systematic and efficient way. For example, in twice-differentiable functions and problems with no constraints, the…

Instrumentation and Methods for Astrophysics · Physics 2009-05-25 J. Canto , S. Curiel , E. Martinez-Gomez

Due to the latest advances in technology, telescopes with significant sky coverage will produce millions of astronomical alerts per night that must be classified both rapidly and automatically. Currently, classification consists of…

Instrumentation and Methods for Astrophysics · Physics 2022-08-17 Germán García-Jara , Pavlos Protopapas , Pablo A. Estévez

Symbolic regression encompasses a family of search algorithms that aim to discover the best fitting function for a set of data without requiring an a priori specification of the model structure. The most successful and commonly used…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Bogdan Burlacu

In this paper, we present a machine learning method for the discovery of analytic solutions to differential equations. The method utilizes an inherently interpretable algorithm, genetic programming based symbolic regression. Unlike…

Machine Learning · Computer Science 2023-02-08 Hongsup Oh , Roman Amici , Geoffrey Bomarito , Shandian Zhe , Robert Kirby , Jacob Hochhalter

We apply instance-based machine learning in the form of a k-nearest neighbor algorithm to the task of estimating photometric redshifts for 55,746 objects spectroscopically classified as quasars in the Fifth Data Release of the Sloan Digital…

We describe and analyze algorithms for shape-constrained symbolic regression, which allows the inclusion of prior knowledge about the shape of the regression function. This is relevant in many areas of engineering -- in particular whenever…

Neural and Evolutionary Computing · Computer Science 2021-07-21 Christian Haider , Fabricio Olivetti de França , Bogdan Burlacu , Gabriel Kronberger

The Genetic Algorithm is a heuristic that can be used to produce model independent solutions to an optimization problem, thus making it ideal for use in cosmology and more specifically in the analysis of type Ia supernovae data. In this…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-18 Savvas Nesseris

We introduce a novel symbolic regression framework, namely KAN-SR, built on Kolmogorov Arnold Networks (KANs) which follows a divide-and-conquer approach. Symbolic regression searches for mathematical equations that best fit a given dataset…

Machine Learning · Computer Science 2025-09-15 Marco Andrea Bühler , Gonzalo Guillén-Gosálbez

This paper describes the application of a real coded genetic algorithm (GA) to align two or more 2-D images by means of image registration. The proposed search strategy is a transformation parameters-based approach involving the affine…

Neural and Evolutionary Computing · Computer Science 2012-04-11 Mosab Bazargani , António dos Anjos , Fernando G. Lobo , Ali Mollahosseini , Hamid Reza Shahbazkia

Multi-model inference covers a wide range of modern statistical applications such as variable selection, model confidence set, model averaging and variable importance. The performance of multi-model inference depends on the availability of…

Statistics Theory · Mathematics 2019-06-07 Ching-Wei Cheng , Guang Cheng

Genetic algorithms are a class of heuristic search techniques that apply basic evolutionary operators in a computational setting. We have designed a fully parallel and distributed hardware/software implementation of the generalized…

Astrophysics · Physics 2009-11-07 T. S. Metcalfe , P. Charbonneau

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

Gradient pattern analysis (GPA) is a well-established technique for measuring gradient bilateral asymmetries of a square numerical lattice. This paper introduces an improved version of GPA designed for galaxy morphometry. We show the…

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail