Modeling low-resolution galaxy spectral energy distribution with evolutionary algorithms

Abstract Astrophysics and Cosmology are entering in a new epoch in which an extremely large volume of data is accessible by the researchers. Consequently, the researchers have to modify their procedures for data analysis to adapt them to this new scenario. This requires the incorporation of new scientific computing resources able to maintain, at least, the present scientific production performance. As part of this increment in the data volume, it should be underlined the number of high-quality galaxy spectra produced by the new instruments. Galaxy spectra are important in Astrophysics because of they encode essential information, such as age and metallicity, of the constituent stellar populations, and, therefore the evolutionary history of the corresponding galaxy. In this work, these galaxy spectra are modeled by using Simple Stellar Populations. This mechanism to model the galaxy spectra allows an in-depth understanding of the present state of the galaxy, but also it allows understanding its past evolution. However, this modeling requires to adequately combine more than one Simple Stellar Population to reproduce the galaxy spectral energy distribution. To find high-quality solutions, metaheuristic algorithms are suitable. In this work, a wide portfolio of metaheuristics are evaluated to reproduce the Low-Resolution Spectra Energy Distribution of galaxies: M110, M32, and NGC3190. The final aim of this work is to advance in the evaluation of some metaheuristics for modeling the Spectral Energy Distribution of a galaxy as a combination of predefined Simple Stellar Populations Spectra.

[1]  Miguel A. Vega-Rodríguez,et al.  Metaheuristics for Modelling Low-Resolution Galaxy Spectral Energy Distribution , 2014, HAIS.

[2]  Takuji Nishimura,et al.  Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.

[3]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[4]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[5]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[6]  Patrick P. K. Chan,et al.  An improved differential evolution and its application to determining feature weights in similarity based clustering , 2013, 2013 International Conference on Machine Learning and Cybernetics.

[7]  Francisco Herrera,et al.  A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’2005 Special Session on Real Parameter Optimization , 2009, J. Heuristics.

[8]  Miguel A. Vega-Rodríguez,et al.  Adjustment of Observational Data to Specific Functional Forms Using a Particle Swarm Algorithm and Differential Evolution: Rotational Curves of a Spiral Galaxy as Case Study , 2012 .

[9]  Russell C. Eberhart,et al.  Computational intelligence - concepts to implementations , 2007 .

[10]  Ali R. Yildiz,et al.  A new hybrid differential evolution algorithm for the selection of optimal machining parameters in milling operations , 2013, Appl. Soft Comput..

[11]  Ali Rıza Yıldız,et al.  Structural Damage Detection Using Modal Parameters and Particle Swarm Optimization , 2012 .

[12]  A. Bressan,et al.  PopStar I: evolutionary synthesis model description , 2009, 0905.3664.

[13]  Jiawei Han,et al.  Data Mining: Concepts and Techniques , 2000 .

[14]  C. Maraston Evolutionary population synthesis: models, analysis of the ingredients and application to high‐z galaxies , 2004, astro-ph/0410207.

[15]  Kusum Deep,et al.  Mean particle swarm optimisation for function optimisation , 2009, Int. J. Comput. Intell. Stud..

[16]  David J. Sheskin,et al.  Handbook of Parametric and Nonparametric Statistical Procedures , 1997 .

[17]  Miguel A. Vega-Rodríguez,et al.  Metaoptimization of Differential Evolution by Using Productions of Low-Number of Cycles: The Fitting of Rotation Curves of Spiral Galaxies as Case Study , 2013, HAIS.

[18]  Huosheng Hu,et al.  A novel camera calibration technique based on differential evolution particle swarm optimization algorithm , 2016, Neurocomputing.

[19]  C. Conroy Modeling the Panchromatic Spectral Energy Distributions of Galaxies , 2013, 1301.7095.

[20]  Enrique Alba,et al.  Parallelism and evolutionary algorithms , 2002, IEEE Trans. Evol. Comput..

[21]  P. Charbonneau Genetic algorithms in astronomy and astrophysics , 1995 .

[22]  Ali R. Yildiz,et al.  Hybrid Taguchi-differential evolution algorithm for optimization of multi-pass turning operations , 2013, Appl. Soft Comput..

[23]  Xin Yao,et al.  A new self-adaptation scheme for differential evolution , 2014, Neurocomputing.

[24]  L. Sodré,et al.  Semi‐empirical analysis of Sloan Digital Sky Survey galaxies – I. Spectral synthesis method , 2005 .

[25]  France,et al.  Semi-empirical analysis of Sloan Digital Sky Survey galaxies – II. The bimodality of the galaxy population revisited , 2005, astro-ph/0511578.

[26]  Carlos A. Coello Coello,et al.  A comparative study of differential evolution variants for global optimization , 2006, GECCO.

[27]  Wai Keung Wong,et al.  Differential evolution-based optimal Gabor filter model for fabric inspection , 2016, Neurocomputing.

[28]  R. Cid Fernandes,et al.  Resolving galaxies in time and space - I. Applying STARLIGHT to CALIFA datacubes , 2013, 1304.5788.

[29]  Francisco Herrera,et al.  A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability , 2009, Soft Comput..

[30]  Ales Zamuda,et al.  Differential evolution and underwater glider path planning applied to the short-term opportunistic sampling of dynamic mesoscale ocean structures , 2014, Appl. Soft Comput..

[31]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[32]  B. Groves,et al.  Fitting the integrated spectral energy distributions of galaxies , 2010, 1008.0395.

[33]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[34]  Miguel A. Vega-Rodríguez,et al.  Empirical Study of Performance of Particle Swarm Optimization Algorithms Using Grid Computing , 2010, NICSO.

[35]  Necmettin Kaya,et al.  Neuro-Genetic Design Optimization Framework to Support the Integrated Robust Design Optimization Process in CE , 2006, Concurr. Eng. Res. Appl..

[36]  Vaibhav Srivastava,et al.  Knapsack problems with sigmoid utilities: Approximation algorithms via hybrid optimization , 2014, Eur. J. Oper. Res..

[37]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[38]  Janez Brest,et al.  Self-adaptive control parameters' randomization frequency and propagations in differential evolution , 2015, Swarm Evol. Comput..

[39]  Ali R. Yildiz,et al.  Comparison of evolutionary-based optimization algorithms for structural design optimization , 2013, Eng. Appl. Artif. Intell..