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Statistical graph models aim at modeling graphs as random realization among a set of possible graphs. One issue is to evaluate whether or not a graph is likely to have been generated by one particular model. In this paper we introduce the…

Social and Information Networks · Computer Science 2022-03-29 Louis Duvivier , Rémy Cazabet , Céline Robardet

The star discrepancy is a quantitative measure of the uniformity of a point set in the unit cube. A central quantity of interest is the inverse of the star discrepancy, $N(\varepsilon, s)$, defined as the minimum number of points required…

Numerical Analysis · Mathematics 2026-03-06 Josef Dick , Friedrich Pillichshammer

We present two main contributions to the expected star discrepancy theory. First, we derive a sharper expected upper bound for jittered sampling, improving the leading constants and logarithmic terms compared to the state-of-the-art [Doerr,…

Statistics Theory · Mathematics 2026-01-09 Xiaoda Xu , Jun Xian

Recently, Bessa et al. (PODS 2023) showed that sketches based on coordinated weighted sampling theoretically and empirically outperform popular linear sketching methods like Johnson-Lindentrauss projection and CountSketch for the ubiquitous…

Databases · Computer Science 2024-08-23 Majid Daliri , Juliana Freire , Christopher Musco , Aécio Santos , Haoxiang Zhang

We consider the estimation of a common period for a set of functions sampled at irregular intervals. The problem arises in astronomy, where the functions represent a star's brightness observed over time through different photometric…

Applications · Statistics 2016-04-15 James P. Long , Eric C. Chi , Richard G. Baraniuk

A basic premise in graph signal processing (GSP) is that a graph encoding pairwise (anti-)correlations of the targeted signal as edge weights is exploited for graph filtering. However, existing fast graph sampling schemes are designed and…

Signal Processing · Electrical Eng. & Systems 2023-01-18 Chinthaka Dinesh , Gene Cheung , Saghar Bagheri , Ivan V. Bajic

In addition to optical photometry of unprecedented quality, the Sloan Digital Sky Survey (SDSS) is also producing a massive spectroscopic database. We discuss determination of stellar parameters, such as effective temperature, gravity and…

3D point cloud (PC) -- a collection of discrete geometric samples of a physical object's surface -- is typically large in size, which entails expensive subsequent operations like viewpoint image rendering and object recognition. Leveraging…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Chinthaka Dinesh , Gene Cheung , Ivan Bajic

In systems undergoing starbursts the evolution of the young stellar population is expected to drive changes in the emission line properties. This evolution is usually studied theoretically, with a combination of evolutionary synthesis…

In images collected by astronomical surveys, stars and galaxies often overlap visually. Deblending is the task of distinguishing and characterizing individual light sources in survey images. We propose StarNet, a Bayesian method to deblend…

Instrumentation and Methods for Astrophysics · Physics 2023-08-30 Runjing Liu , Jon D. McAuliffe , Jeffrey Regier

Structural disturbances, such as galaxy mergers or instabilities, are key candidates for driving galaxy evolution, so it is important to detect and quantify galaxies hosting these disturbances spanning a range of masses, environments, and…

In this paper, I review to what extent we can understand the photometric properties of star clusters, and of low-mass, unresolved galaxies, in terms of population synthesis models designed to describe `simple stellar populations' (SSPs),…

Astrophysics of Galaxies · Physics 2009-11-05 A. Gustavo Bruzual

The Transiting Exoplanet Survey Satellite (TESS) will observe $\sim$150~million stars brighter than $T_{\rm mag} \approx 16$, with photometric precision from 60~ppm to 3~percent, enabling an array of exoplanet and stellar astrophysics…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Ryan J. Oelkers , Keivan G. Stassun

Star formation is arguably the most important physical process in the cosmos. It is a fundamental driver of galaxy evolution and the ultimate source of most of the energy emitted by galaxies. A correct interpretation of star formation rate…

The advent of space-based observatories such as CoRoT and Kepler has enabled the testing of our understanding of stellar evolution on thousands of stars. Evolutionary models typically require five input parameters, the mass, initial Helium…

Solar and Stellar Astrophysics · Physics 2016-09-07 Kuldeep Verma , Shravan Hanasoge , Jishnu Bhattacharya , H M Antia , Ganapathy Krishnamurthi

Abridged: We have used the well-selected sample of ~1750 embedded, young, massive stars identified by the RMS survey to investigate the Galactic distribution of recent massive star formation. We describe the various methods used to assign…

Astrophysics of Galaxies · Physics 2015-06-17 J. S. Urquhart , C. C. Figura , T. J. T. , Moore , M. G. Hoare , S. L. Lumsden , J. C. Mottram , M. A. Thompson , R. D. Oudmaijer

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Frame sampling is a fundamental component in video understanding and video--language model pipelines, yet evaluating the quality of sampled frames remains challenging. Existing evaluation metrics primarily focus on perceptual quality or…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Shih-Yao Lin

The 15R-North galaxy redshift survey is a uniform spectroscopic survey (S/N $\sim $10) covering the range 3650---7400\AA for 3149 galaxies with median redshift 0.05. The sample is 90% complete to $R=15.4$. The median slit covering fraction…

Astrophysics · Physics 2009-11-06 B. J. Carter , D. G. Fabricant , M. J. Geller , M. J. Kurtz