Alejandro Alfredo Morales Sanchez

Mr. Alejandro Alfredo Morales Sanchez


Research Focus & Metrics

Academic Career Length

4Years (2023-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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27 December 2023 in Universe
Verified
Journal Article
Open access
PDF file
RMRicardo Medel-Esquivel
Ricardo Medel-Esquivel
IVIsidro Gomez Vargas
Isidro Gomez Vargas
ASAlejandro Alfredo Morales Sanchez
Alejandro Alfredo Morales Sanchez
RSRicardo García Salcedo
Ricardo García Salcedo
JVJ. Alberto Vazquez
J. Alberto Vazquez
Genetic algorithms are a powerful tool in optimization for single and multimodal functions. This paper provides an overview of their fundamentals with some analytical examples. In addition, we explore how they can be used as a parameter estimation tool in cosmological models to maximize the likelihood function, complementing the analysis with the traditional Markov chain Monte Carlo methods. We analyze that genetic algorithms provide fast estimates by focusing on maximizing the likelihood function, although they cannot provide confidence regions with the same statistical meaning as Bayesian approaches. Moreover, we show that implementing sharing and niching techniques ensures an effective exploration of the parameter space, even in the presence of local optima, always helping to find the global optima. This approach is invaluable in the cosmological context, where an exhaustive space exploration of parameters is essential. We use dark energy models to exemplify the use of genetic algorithms in cosmological parameter estimation, including a multimodal problem, and we also show how to use the output of a genetic algorithm to obtain derived cosmological functions. This paper concludes that genetic algorithms are a handy tool within cosmological data analysis, without replacing the traditional Bayesian methods but providing different advantages.

11 January 2024 in arXiv
Verified
Preprint
Open access
PDF file
RMRicardo Medel-Esquivel
Ricardo Medel-Esquivel
IVIsidro Gomez Vargas
Isidro Gomez Vargas
ASAlejandro Alfredo Morales Sanchez
Alejandro Alfredo Morales Sanchez
RSRicardo García Salcedo
Ricardo García Salcedo
JVJ. Alberto Vazquez
J. Alberto Vazquez
Genetic algorithms are a powerful tool in optimization for single and multi-modal functions. This paper provides an overview of their fundamentals with some analytical examples. In addition, we explore how they can be used as a parameter estimation tool in cosmological models to maximize the likelihood function, complementing the analysis with the traditional Markov Chain Monte Carlo methods. We analyze that genetic algorithms provide fast estimates by focusing on maximizing the likelihood function, although they cannot provide confidence regions with the same statistical meaning as Bayesian approaches. Moreover, we show that implementing sharing and niching techniques ensures an effective exploration of the parameter space, even in the presence of local optima, always helping to find the global optima. This approach is invaluable in the cosmological context, where exhaustive space exploration of parameters is essential. We use dark energy models to exemplify the use of genetic algorithms in cosmological parameter estimation, including a multimodal problem, and we also show how to use the output of a genetic algorithm to obtain derived cosmological functions. This paper concludes that genetic algorithms are a handy tool within cosmological data analysis, without replacing the traditional Bayesian methods but providing different advantages.