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Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

Machine Learning · Statistics 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

Solar flares are events of intense scientific interest. Although certain solar conditions are known to be associated with flare activity, the exact location and timing of an individual flare on the Sun cannot as yet be predicted with…

Solar and Stellar Astrophysics · Physics 2021-11-03 Andrew R. Inglis , Jack Ireland , Albert Y. Shih , Steven D. Christe

We study the localization of a cluster of activated vertices in a graph, from adaptively designed compressive measurements. We propose a hierarchical partitioning of the graph that groups the activated vertices into few partitions, so that…

Machine Learning · Statistics 2014-02-17 Akshay Krishnamurthy , James Sharpnack , Aarti Singh

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Sunspots are regions of decreased brightness on the visible surface of the Sun (photosphere) that are associated with strong magnetic fields. They have been found to be locations associated with solar flares, which occur when energy stored…

Solar and Stellar Astrophysics · Physics 2013-01-24 Sophie A. Murray

Multi-view clustering aims at integrating complementary information from multiple heterogeneous views to improve clustering results. Existing multi-view clustering solutions can only output a single clustering of the data. Due to their…

Machine Learning · Computer Science 2019-11-27 Shaowei Wei , Jun Wang , Guoxian Yu , Carlotta , Xiangliang Zhang

A given set of data-points in some feature space may be associated with a Schrodinger equation whose potential is determined by the data. This is known to lead to good clustering solutions. Here we extend this approach into a full-fledged…

Data Analysis, Statistics and Probability · Physics 2010-02-16 Marvin Weinstein , David Horn

Functional magnetic resonance imaging (fMRI) produces data about activity inside the brain, from which spatial maps can be extracted by independent component analysis (ICA). In datasets, there are n spatial maps that contain p voxels. The…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Tuomo Sipola , Fengyu Cong , Tapani Ristaniemi , Vinoo Alluri , Petri Toiviainen , Elvira Brattico , Asoke K. Nandi

The areas of sunspots are the most prominent feature of the development of sunspot groups. Since the size of sunspot areas depend on the strength of the magnetic field, accurate measurements of these areas are important. In this study, a…

Solar and Stellar Astrophysics · Physics 2015-06-19 H. Cakmak

Sunspot groups often emerge in spatial-temporal clusters, known as nests or complexes of activity. Quantifying how frequently such nesting occurs is important for understanding the organisation and recurrence of solar magnetic fields. We…

Solar and Stellar Astrophysics · Physics 2026-03-05 Nurdan Karapinar , Emre Isik , Natalie A. Krivova , Hakan V. Senavci

Critical phase transitions have proven to be a powerful concept to capture the phenomenology of many systems, including deeply non-equilibrium ones like living systems. The study of these phase transitions has overwhelmingly relied on…

Statistical Mechanics · Physics 2025-12-12 Leone V. Luzzatto , Mathias Casiulis , Stefano Martiniani , István A. Kovács

Multiple recent investigations of solar magnetic field measurements have raised claims that the scale-free (fractal) or multiscale (multifractal) parameters inferred from the studied magnetograms may help assess the eruptive potential of…

Solar and Stellar Astrophysics · Physics 2015-05-20 Manolis K. Georgoulis

We investigate the inclusion of clustering maps in a weak lensing Minkowski functional (MF) analysis of DES-like and LSST-like simulations to constrain cosmological parameters. The standard 3x2pt approach to lensing and clustering data uses…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Nisha Grewal , Joe Zuntz , Tilman Tröster , Alexandra Amon

Heavy meson decays provide an important platform for studies of both QCD and electroweak dynamics, which may contain some portals to understanding of nonperturbative QCD and physics beyond the Standard Model. The factorization-assisted…

High Energy Physics - Phenomenology · Physics 2021-11-30 Qin Qin , Chao Wang , Di Wang , Si-Hong Zhou

Solar flares are caused by magnetic eruptions in active regions (ARs) on the surface of the sun. These events can have significant impacts on human activity, many of which can be mitigated with enough advance warning from good forecasts. To…

Solar and Stellar Astrophysics · Physics 2023-09-18 Varad Deshmukh , Thomas Berger , James Meiss , Elizabeth Bradley

Solar irradiance clustering can enhance solar power capacity planning and help improve forecasting models by identifying similar irradiance patterns influenced by seasonal and weather changes. In this study, we adopt an efficient two-level…

Machine Learning · Computer Science 2025-01-20 Roshni Agrawal , Sivakumar Subramanian , Venkataramana Runkana

We consider the flare prediction problem that distinguishes flare-imminent active regions that produce an M- or X-class flare in the future 24 hours, from quiet active regions that do not produce any flare within $\pm 24$ hours. Using…

Solar and Stellar Astrophysics · Physics 2022-06-15 Zeyu Sun , Monica G. Bobra , Xiantong Wang , Yu Wang , Hu Sun , Tamas Gombosi , Yang Chen , Alfred Hero

The systematic variation of solar active region (AR) properties with their magnetic flux has been the subject of numerous studies but the proposed scaling laws still vary rather widely. A correct representation of these laws and the…

Solar and Stellar Astrophysics · Physics 2026-04-24 Guilherme A. L. Nogueira , Robertus Erdelyi , Ruihui Wang , Kristof Petrovay

We demonstrate that for weak flares the dependence on spottedness can be rather weak. The fact is that such flares can occur both in small and large active regions. At the same time, powerful large flares of classes M and X occur much more…

Solar and Stellar Astrophysics · Physics 2022-09-07 M. M. Katsova , V. N. Obridko , D. D. Sokoloff , I. M. Livshits

It is widely assumed that the most probable sites of flare occurrences are the locations of high horizontal magnetic field gradients in the active regions. Instead of magnetograms the present work checks this assumption by using sunspot…

Solar and Stellar Astrophysics · Physics 2014-01-10 M. B. Korsos , T. Baranyi , A. Ludmany