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A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

Machine Learning · Computer Science 2015-03-03 Miguel Á. Carreira-Perpiñán

We consider a system of interacting diffusions labeled by a geographic space that is given by the hierarchical group $\Omega_N$ of order $N\in\mathbb{N}$. Individuals live in colonies and are subject to resampling and migration as long as…

Probability · Mathematics 2021-10-07 Andreas Greven , Frank den Hollander , Margriet Oomen

Since the Solar Dynamics Observatory (SDO) began recording ~ 1 TB of data per day, there has been an increased need to automatically extract features and events for further analysis. Here we compare the overall detection performance,…

Solar and Stellar Astrophysics · Physics 2011-09-05 Cis Verbeeck , Paul A. Higgins , Tufan Colak , Fraser T. Watson , Veronique Delouille , Benjamin Mampaey , Rami Qahwaji

At modest radii from the centre of galaxy clusters, individual galaxies may be infalling to the cluster for the first time, or have already visited the cluster core and are coming back out again. This latter population of galaxies is known…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Kevin A. Pimbblet

The masses of galaxy clusters can be measured using data obtained exclusively from wide photometric surveys in one of two ways: directly from the amplitude of the weak lensing signal or, indirectly, through the use of scaling relations…

We analyzed the size, intensity, and magnetic field strength of sunspot umbrae to compare the present cycle 24 with the previous one. We used data of the Helioseismic and Magnetic Imager onboard the Solar Dynamics Observatory and selected…

Solar and Stellar Astrophysics · Physics 2015-06-18 Christoph Kiess , Reza Rezaei , Wolfgang Schmidt

Data from three solar observatories, Learmonth, Holloman, and San Vito, are used to study the variations in the average number of sunspots per sunspot group. It is found that the different types of sunspot groups and the number of sunspots…

Solar and Stellar Astrophysics · Physics 2017-10-06 K. Georgieva , A. Kilcik , Yu. Nagovitsyn , B. Kirov

We present a comprehensive kinematic analysis of the solar neighborhood (d < 50 pc) using high-precision astrometric data from the third Gaia Data Release (DR3). By leveraging the full six dimensional phase space information (positions and…

General Physics · Physics 2025-12-18 Anmay Raj

The long term study of the Sun is necessary if we are to determine the evolution of sunspot properties and thereby inform modeling of the solar dynamo, particularly on scales of a solar cycle. We aim to determine a number of sunspot…

Solar and Stellar Astrophysics · Physics 2011-08-23 Fraser T. Watson , Lyndsay Fletcher , Stephen Marshall

Relative Sunspot Number is one of the major parameters for the study of long-term solar activity. The automatic calculation of the Relative Sunspot Number is more stable and accurate as compared to manual methods. In this paper, we propose…

Solar and Stellar Astrophysics · Physics 2024-01-18 Cui Zhao , Shangbin Yang , Tingmei Wang , Haiyan Zhao , Shiyuan Liu , Fangyuan He , Zhengkun Hu

We present sDBSCAN, a scalable density-based clustering algorithm in high dimensions with cosine distance. Utilizing the neighborhood-preserving property of random projections, sDBSCAN can quickly identify core points and their…

Machine Learning · Computer Science 2025-05-20 Haochuan Xu , Ninh Pham

Aims: Develop a data-driven and statistically based method for finding such clumps in Integrals of Motion space for nearby halo stars and evaluating their significance robustly. Methods: We use data from Gaia EDR3 extended with radial…

Astrophysics of Galaxies · Physics 2022-09-14 S. Sofie Lövdal , Tomás Ruiz-Lara , Helmer H. Koppelman , Tadafumi Matsuno , Emma Dodd , Amina Helmi

The sunspot activity is the end result of the cyclic destruction and regeneration of magnetic fields by the dynamo action. We propose a new method to analyze the daily sunspot areas data recorded since 1874. By computing the power spectral…

Solar and Stellar Astrophysics · Physics 2015-05-20 Ilidio Lopes , Hugo G. Silva

A cluster mean-field method is introduced and the applications to the Ising and Heisenberg models are demonstrated. We divide the lattice sites into clusters whose size and shape are selected so that the equivalence of all sites in a…

Strongly Correlated Electrons · Physics 2013-05-29 Daisuke Yamamoto

We make use of a catalog of 1600 Pan-STARRS1 groups produced by the probability friends-of-friends algorithm to explore how the galaxy properties, i.e. the specific star formation rate (SSFR) and quiescent fraction, depend on stellar mass…

The historical record of sunspot areas is a valuable and widely used proxy of solar activity and variability. The Royal Greenwich Observatory (RGO) regularly measured this and other parameters between 1874 and 1976. After that time records…

Solar and Stellar Astrophysics · Physics 2014-11-20 L. Balmaceda , S. K. Solanki , N. Krivova , S. Foster

Density-based clustering methodology has been widely considered in the statistical literature for classifying Euclidean observations. However, this approach has not been contemplated for directional data yet. In this work, directional…

Methodology · Statistics 2023-03-07 Paula Saavedra-Nieves , Martín Fernández-Pérez

Density-based clustering techniques are used in a wide range of data mining applications. One of their most attractive features con- sists in not making use of prior knowledge of the number of clusters that a dataset contains along with…

Machine Learning · Computer Science 2018-07-24 Roberto Pirrone , Vincenzo Cannella , Sergio Monteleone , Gabriella Giordano

Combining galaxy clustering information from regions of different environmental densities can help break cosmological parameter degeneracies and access non-Gaussian information from the density field that is not readily captured by the…

The method of active day fraction (ADF) was proposed recently to calibrate different solar observers to the standard observational conditions. The result of the calibration may depend on the overall level of solar activity during the…

Solar and Stellar Astrophysics · Physics 2018-05-02 Teemu Willamo , Ilya G. Usoskin , Gennady A. Kovaltsov