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A method for extracting multiscale geometric features from a data cloud is proposed and analyzed. The basic idea is to map each pair of data points into a real-valued feature function defined on $[0,1]$. The construction of these feature…

Statistics Theory · Mathematics 2019-12-16 Gabriel Chandler , Wolfgang Polonik

One of important aims of astronomical data mining is to systematically search for specific rare objects in a massive spectral dataset, given a small fraction of identified samples with the same type. Most existing methods are mainly based…

Astrophysics of Galaxies · Physics 2016-03-23 Changde Du , Ali Luo , Haifeng Yang , Wen Hou , Yanxin Guo

We present a review of data types and statistical methods often encountered in astronomy. The aim is to provide an introduction to statistical applications in astronomy for statisticians and computer scientists. We highlight the complex,…

Physics Education · Physics 2017-10-23 James P. Long , Rafael S. de Souza

In astronomy, if we denote the dimension of data as $d$ and the number of samples as $n$, we often meet a case with $n \ll d$. Traditionally, such a situation is regarded as ill-posed, and there was no choice but to throw away most of the…

Instrumentation and Methods for Astrophysics · Physics 2024-02-21 Tsutomu T. Takeuchi , Kazuyoshi Yata , Kento Egashira , Makoto Aoshima , Aki Ishii , Suchetha Cooray , Kouichiro Nakanishi , Kotaro Kohno , Kai T. Kono

The current role of data-driven science is constantly increasing its importance within Astrophysics, due to the huge amount of multi-wavelength data collected every day, characterized by complex and high-volume information requiring…

Instrumentation and Methods for Astrophysics · Physics 2021-04-15 Massimo Brescia , Stefano Cavuoti , Oleksandra Razim , Valeria Amaro , Giuseppe Riccio , Giuseppe Longo

The complexity and accuracy of current and future precision cosmology observational campaigns has made it essential to develop an efficient technique for directly combining simulation and observational datasets to determine cosmological and…

Astrophysics · Physics 2009-11-11 Katrin Heitmann , David Higdon , Charles Nakhleh , Salman Habib

Object cross-identification in multiple observations is often complicated by the uncertainties in their astrometric calibration. Due to the lack of standard reference objects, an image with a small field of view can have significantly…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Tamas Budavari , Stephen H. Lubow

With the volume and availability of astronomical data growing rapidly, astronomers will soon rely on the use of machine learning algorithms in their daily work. This proceeding aims to give an overview of what machine learning is and delve…

Instrumentation and Methods for Astrophysics · Physics 2025-08-06 Sara A. Webb , Simon R. Goode

In the era of big data, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are…

Machine Learning · Statistics 2018-10-24 Jie Ding , Vahid Tarokh , Yuhong Yang

Feature selection is frequently used as a pre-processing step to machine learning. It is a process of choosing a subset of original features so that the feature space is optimally reduced according to a certain evaluation criterion. The…

Computer Vision and Pattern Recognition · Computer Science 2014-01-07 Vijendra Singh , Shivani Pathak

Radio-astronomy is about to embark on a new way of doing science. The revolution that is about to take place is not due to the enormous sensitivity of the Square Kilometre Array, which is still a decade away, but due to its pathfinders,…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Ray P. Norris

Wide field small aperture telescopes are widely used for optical transient observations. Detection and classification of astronomical targets in observed images are the most important and basic step. In this paper, we propose an…

Instrumentation and Methods for Astrophysics · Physics 2020-05-06 Peng Jia , Qiang Liu , Yongyang Sun

Along with the flourish of the information age, massive amounts of data are generated day by day. Due to the large-scale and high-dimensional characteristics of these data, it is often difficult to achieve better decision-making in…

Machine Learning · Computer Science 2023-04-04 Peican Zhu , Xin Hou , Keke Tang , Zhen Wang , Feiping Nie

In order to retrieve cosmological parameters from photometric surveys, we need to estimate the distribution of the photometric redshift in the sky with excellent accuracy. We use and apply three different machine learning methods to…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Elcio Abdalla , Filipe B. Abdalla , Alessandro Marins , Amilcar Queiroz , Rafael M. Ribeiro , Alex S. C. Souza

The rate of image acquisition in modern synoptic imaging surveys has already begun to outpace the feasibility of keeping astronomers in the real-time discovery and classification loop. Here we present the inner workings of a framework,…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 J. S. Bloom , J. W. Richards , P. E. Nugent , R. M. Quimby , M. M. Kasliwal , D. L. Starr , D. Poznanski , E. O. Ofek , S. B. Cenko , N. R. Butler , S. R. Kulkarni , A. Gal-Yam , N. Law

All sciences, including astronomy, are now entering the era of information abundance. The exponentially increasing volume and complexity of modern data sets promises to transform the scientific practice, but also poses a number of common…

Astrophysics · Physics 2016-11-17 S. G. Djorgovski

Pattern recognition techniques have been used with increasing success for coping with the tremendous amounts of data being generated by automated surveys. Usually this process involves construction of training sets, the typical examples of…

Astrophysics · Physics 2009-11-11 D. D. Proctor

For classification problems, feature extraction is a crucial process which aims to find a suitable data representation that increases the performance of the machine learning algorithm. According to the curse of dimensionality theorem, the…

Machine Learning · Computer Science 2010-10-12 Ilknur Icke , Andrew Rosenberg

Finding the optimal ordering of k-subsets with respect to an objective function is known to be an extremely challenging problem. In this paper we introduce a new objective for this task, rooted in the problem of star identification on…

Optimization and Control · Mathematics 2017-05-19 Joerg H. Mueller , Carlos Sánchez-Sánchez , Luís F. Simões , Dario Izzo

The aim of our paper is to make high-precision positional stellar catalogs by compiling large astrophysical data bulk and large astrometrical surveys. The data reliability and uniqueness is the primary request. The common precision of 1 arc…

Astrophysics · Physics 2008-10-01 Nuriya T. Ashimbaeva