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Here we show how to determine the orbital parameters of a system composed of a star and N companions (that can be planets, brown-dwarfs or other stars), using a simple Fourier analysis of the radial velocity data of the star. This method…

Earth and Planetary Astrophysics · Physics 2022-08-01 Alexandre C. M. Correia

We use simulated strongly lensed gravitational wave events from the Einstein Telescope to demonstrate how the luminosity and angular diameter distances, $d_L(z)$ and $d_A(z)$ respectively, can be combined to test in a model independent…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-13 Rubén Arjona , Hai-Nan Lin , Savvas Nesseris , Li Tang

"AI for science" is widely recognized as a future trend in the development of scientific research. Currently, although machine learning algorithms have played a crucial role in scientific research with numerous successful cases, relatively…

Soft Condensed Matter · Physics 2024-07-11 Changliang Zhu , Chenchao Fang , Zhipeng Jin , Baowen Li , Xiangying Shen , Lei Xu

In the words of the esteemed mathematician Paul Erd\"os, the mathematician's task is to \emph{prove and conjecture}. These two processes form the bedrock of all mathematical endeavours, and in the recent years, the mathematical community…

Combinatorics · Mathematics 2023-07-18 Randy Davila

The classification of galaxies as spirals or ellipticals is a crucial task in understanding their formation and evolution. With the arrival of large-scale astronomical surveys, such as the Sloan Digital Sky Survey (SDSS), astronomers now…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Anusha Guruprasad

Kepler's orbits with corrections due to Special Relativity are explored using the Lagrangian formalism. A very simple model includes only relativistic kinetic energy by defining a Lagrangian that is consistent with both the relativistic…

Earth and Planetary Astrophysics · Physics 2016-04-21 Tyler J. Lemmon , Antonio R. Mondragon

We present a two-component Machine Learning (ML) based approach for classifying astronomical images by data-quality via an examination of sources detected in the images and image pixel values from representative sources within those images.…

Instrumentation and Methods for Astrophysics · Physics 2020-04-01 Hossen Teimoorinia , J. J. Kavelaars , Stephen Gwyn , Daniel Durand , Kennedy Rolston , Alexander Ouellette

In this paper we propose a novel gradient algorithm to learn a policy from an expert's observed behavior assuming that the expert behaves optimally with respect to some unknown reward function of a Markovian Decision Problem. The…

Machine Learning · Computer Science 2012-06-26 Gergely Neu , Csaba Szepesvari

The validation of a theory is commonly based on appealing to clearly distinguishable and describable features in properly reduced experimental data, while the use of ab-initio simulation for interpreting experimental data typically requires…

Plasma Physics · Physics 2018-12-18 A. Gonoskov , E. Wallin , A. Polovinkin , I. Meyerov

While LLMs have shown impressive capabilities in solving math or coding problems, the ability to make scientific discoveries remains a distinct challenge. This paper proposes a "Turing test for an AI scientist" to assess whether an AI agent…

Artificial Intelligence · Computer Science 2024-05-24 Xiaoxin Yin

In this work, we explore how to classify asteroids in co-orbital motion with a given planet using Machine Learning. We consider four different kinds of motion in mean motion resonance with the planet, nominally Tadpole, Horseshoe and…

Earth and Planetary Astrophysics · Physics 2023-09-20 Giulia Ciacci , Andrea Barucci , Sara Di Ruzza , Elisa Maria Alessi

We present AI Poincar\'e, a machine learning algorithm for auto-discovering conserved quantities using trajectory data from unknown dynamical systems. We test it on five Hamiltonian systems, including the gravitational 3-body problem, and…

Machine Learning · Computer Science 2021-05-10 Ziming Liu , Max Tegmark

The application of machine learning (ML) methods to the analysis of astrophysical datasets is on the rise, particularly as the computing power and complex algorithms become more powerful and accessible. As the field of ML enjoys a…

Instrumentation and Methods for Astrophysics · Physics 2020-05-20 K. A. Venn , S. Fabbro , A Liu , Y. Hezaveh , L. Perreault-Levasseur , G. Eadie , S. Ellison , J. Woo , JJ. Kavelaars , K. M. Yi , R. Hlozek , J. Bovy , H. Teimoorinia , S. Ravanbakhsh , L. Spencer

The dream of building machines that can do science has inspired scientists for decades. Remarkable advances have been made recently; however, we are still far from achieving this goal. In this paper, we focus on the scientific discovery…

Artificial Intelligence · Computer Science 2022-03-15 Abdullah Khalili , Abdelhamid Bouchachia

This chapter gives an overview of the core concepts of machine learning (ML) -- the use of algorithms that learn from data, identify patterns, and make predictions or decisions without being explicitly programmed -- that are relevant to…

Data Analysis, Statistics and Probability · Physics 2025-12-15 Javier M. Duarte , Uros Seljak , Kazu Terao

Machine Learning is a powerful tool to reveal and exploit correlations in a multi-dimensional parameter space. Making predictions from such correlations is a highly non-trivial task, in particular when the details of the underlying dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-30 Christoph Englert , Peter Galler , Philip Harris , Michael Spannowsky

The exploration of planetary bodies in our Solar system and beyond relies on the processing and interpretation of large, spatio-temporally inconsistent, and heterogeneous datasets. Recent advances in machine learning (ML) provide…

Attempts to apply Neural Networks (NN) to a wide range of research problems have been ubiquitous and plentiful in recent literature. Particularly, the use of deep NNs for understanding complex physical and chemical phenomena has opened a…

Machine Learning · Computer Science 2021-12-01 Arijit Sehanobish , Hector H. Corzo , Onur Kara , David van Dijk

Astronomy has entered the big data era and Machine Learning based methods have found widespread use in a large variety of astronomical applications. This is demonstrated by the recent huge increase in the number of publications making use…

Instrumentation and Methods for Astrophysics · Physics 2018-07-17 Massimo Brescia , Stefano Cavuoti , Valeria Amaro , Giuseppe Riccio , Giuseppe Angora , Civita Vellucci , Giuseppe Longo

This study applied machine learning models to estimate stellar rotation periods from corrected light curve data obtained by the NASA Kepler mission. Traditional methods often struggle to estimate rotation periods accurately due to noise and…

Solar and Stellar Astrophysics · Physics 2024-09-10 Fatemeh Fazel Hesar , Bernard Foing , Ana M. Heras , Mojtaba Raouf , Victoria Foing , Shima Javanmardi , Fons J. Verbeek