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Random sinusoidal features are a popular approach for speeding up kernel-based inference in large datasets. Prior to the inference stage, the approach suggests performing dimensionality reduction by first multiplying each data vector by a…

Machine Learning · Statistics 2017-07-12 Mohammadreza Soltani , Chinmay Hegde

This work investigates symbolic regression (SR) as an interpretable alternative to black-box machine learning for the classification of stars, galaxies, and quasars in the Sloan Digital Sky Survey Data Release 17 (SDSS DR17). We conduct a…

Instrumentation and Methods for Astrophysics · Physics 2026-03-02 Rachit Deshpande , Shantanu Desai

Compressive-sensing-based uncertainty quantification methods have become a pow- erful tool for problems with limited data. In this work, we use the sliced inverse regression (SIR) method to provide an initial guess for the alternating…

Numerical Analysis · Mathematics 2018-09-11 Xiu Yang , Weixuan Li , Alexandre Tartakovsky

Localised modelling error in the near-surface layers of evolutionary stellar models causes the frequencies of their normal modes of oscillation to differ from those of actual stars with matching interior structures. These frequency…

Solar and Stellar Astrophysics · Physics 2021-01-13 J. M. Joel Ong , Sarbani Basu , Jean M. McKeever

We present a proof-of-concept study of the inverse problem of inferring neutron-star properties directly from the post-merger gravitational-wave spectrum of equal-mass binary neutron-star mergers. Using noise-free spectra from…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Dimitrios Pesios , Nikolaos Stergioulas

Determining the physical parameters of pulsating variable stars such as RR Lyrae is essential for understanding their internal structure, pulsation mechanisms, and evolutionary state. In this study, we present a machine learning framework…

Solar and Stellar Astrophysics · Physics 2025-07-08 Nitesh Kumar , Harinder P. Singh , Oleg Malkov , Santosh Joshi , Kefeng Tan , Philippe Prugniel , Anupam Bhardwaj

This paper describes an algorithm obtained by merging a recursive star identification algorithm with a recently developed adaptive SVD-based estimator of the angular velocity vector (QuateRA). In a recursive algorithm, the more accurate the…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Hunter Johnston , Carl Leake , Marcelino M. de Almeida , Daniele Mortari

Most existing star-galaxy classifiers use the reduced summary information from catalogs, requiring careful feature extraction and selection. The latest advances in machine learning that use deep convolutional neural networks allow a machine…

Instrumentation and Methods for Astrophysics · Physics 2016-10-20 Edward J. Kim , Robert J. Brunner

We implemented non-solar-scaled opacities in a simultaneous derivation of fundamental parameters and abundances. We carried out a high-precision stellar parameters and abundance determination by applying non-solar-scaled opacities and model…

Solar and Stellar Astrophysics · Physics 2018-12-05 C. Saffe , M. Flores , P. Miquelarena , F. M. Lopez , M. Jaque Arancibia , A. Collado , E. Jofre , R. Petrucci

Stellar structure and evolution can be studied in great detail by asteroseismic methods, provided data of high precision are available. We determine the effective temperature (Teff), surface gravity (log g), metallicity, and the projected…

Solar and Stellar Astrophysics · Physics 2015-05-20 Joanna Molenda-Zakowicz , David W. Latham , Giovanni Catanzaro , Antonio Frasca , Samuel N. Quinn

Stellar population studies provide unique clues to constrain galaxy formation models. So far, detailed studies based on absorption line strengths have mainly focused on the optical spectral range although many diagnostic features are…

Astrophysics of Galaxies · Physics 2022-05-27 Elham Eftekhari , Alexandre Vazdekis , Francesco La Barbera

Estimating stellar masses for billions of galaxies in upcoming surveys requires methods that are both accurate and computationally efficient. We present a new approach using symbolic regression trained on a simulation to derive simple,…

A heuristic procedure based on novel recursive formulation of sinusoid (RFS) and on regression with predictive least-squares (LS) enables to decompose both uniformly and nonuniformly sampled 1-d signals into a sparse set of sinusoids (SSS).…

Information Theory · Computer Science 2017-04-13 Ivan Maric

Space-based projects are providing a wealth of high-quality asteroseismic data, including frequencies for a large number of stars showing solar-like oscillations. These data open the prospect for precise determinations of key stellar…

Solar and Stellar Astrophysics · Physics 2015-05-20 P. -O. Quirion , J. Christensen-Dalsgaard , T. Arentoft

Stochastic differential equations have been an important tool in modeling complex financial relations, equipped with the possibility of being multidimensional to better oversee complexities inherent in finance. This multidimensionality,…

Mathematical Finance · Quantitative Finance 2025-08-22 Ahmet Umur Özsoy

A challenging problem in estimating high-dimensional graphical models is to choose the regularization parameter in a data-dependent way. The standard techniques include $K$-fold cross-validation ($K$-CV), Akaike information criterion (AIC),…

Machine Learning · Statistics 2010-06-18 Han Liu , Kathryn Roeder , Larry Wasserman

Asteroseismology is a powerful way of determining stellar parameters and properties of stars like the Sun. However, main-sequence F-type stars exhibit short mode lifetimes relative to their oscillation frequency, resulting in overlapping…

Solar and Stellar Astrophysics · Physics 2019-02-18 Douglas L. Compton , Timothy R. Bedding , Dennis Stello

The accuracy of the estimated stellar atmospheric parameter decreases evidently with the decreasing of spectral signal-to-noise ratio (SNR) and there are a huge amount of this kind observations, especially in case of SNR$<$30. Therefore, it…

Astrophysics of Galaxies · Physics 2023-12-27 Xiangru Li , Zhu Wang , Si Zeng , Caixiu Liao , Bing Du , X. Kong , Haining Li

It is known that stellar differential rotation can be detected by analyzing the Fourier transform of spectral line profiles, since the ratio of the 1st- and 2nd-zero frequencies is a useful indicator. This approach essentially relies on the…

Solar and Stellar Astrophysics · Physics 2020-02-19 Yoichi Takeda