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A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan

Ranked set sampling (RSS) is a stratified sampling method that improves efficiency over simple random sampling (SRS) by utilizing auxiliary information for ranking and stratification. While balanced RSS (BRSS) assumes equal allocation…

Methodology · Statistics 2025-09-03 Chul Moon , Soohyun Ahn

Stellar metallicity strongly correlates with the presence of planets and their properties. To check for new correlations between stars and the existence of an orbiting planet, we determine precise stellar parameters for a sample of…

Solar and Stellar Astrophysics · Physics 2015-05-20 Sérgio G. Sousa , Nuno C. Santos , Garik Israelian , C. Lovis , Michel Mayor , Pedro B. Silva , Stephane Udry

Star-shaped bodies are an important nonconvex generalization of convex bodies (e.g., linear programming with violations). Here we present an efficient algorithm for sampling a given star-shaped body. The complexity of the algorithm grows…

Data Structures and Algorithms · Computer Science 2009-04-06 Karthekeyan Chandrasekaran , Daniel Dadush , Santosh Vempala

In the area of graph signal processing, a graph is a set of nodes arbitrarily connected by weighted links; a graph signal is a set of scalar values associated with each node; and sampling is the problem of selecting an optimal subset of…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Alejandro Parada-Mayorga , Daniel L. Lau , Jhony H. Giraldo , Gonzalo R. Arce

To further our knowledge of the complex physical process of galaxy formation, it is essential that we characterize the formation and evolution of large databases of galaxies. The spectral synthesis STARLIGHT code of Cid Fernandes et al.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Joseph W. Richards , Peter E. Freeman , Ann B. Lee , Chad M. Schafer

Sampling is a standard approach in big-graph analytics; the goal is to efficiently estimate the graph properties by consulting a sample of the whole population. A perfect sample is assumed to mirror every property of the whole population.…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Nick Duffield , Jennifer Neville , Ramana Kompella

In this paper, we propose a spectroscopy based Stellar Color Regression (SCR) method to perform accurate color calibration for modern imaging surveys, taking advantage of millions of stellar spectra now available. The method is…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Haibo Yuan , Xiaowei Liu , Maosheng Xiang , Yang Huang , Huihua Zhang , Bingqiu Chen

Getting spectra at good signal-to-noise ratios takes orders of magnitudes more time than photometric observations. Building on the technique developed for photometric redshift estimation of galaxies, we develop and demonstrate a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Gyöngyi Kerekes , István Csabai , László Dobos , Márton Trencséni

We present a comprehensive method for determining stellar mass functions, and apply it to samples in the local Universe. We combine the classical 1/Vmax approach with STY, a parametric maximum likelihood method and SWML, a non-parametric…

Astrophysics of Galaxies · Physics 2016-04-20 Anna K. Weigel , Kevin Schawinski , Claudio Bruderer

In this paper, we consider the problem of estimating the distance between any two large data streams in small- space constraint. This problem is of utmost importance in data intensive monitoring applications where input streams are…

Data Structures and Algorithms · Computer Science 2012-08-01 Emmanuelle Anceaume , Yann Busnel

In the current panorama of large surveys, the vast amount of data obtained with different methods, data types, formats, and stellar samples, is making an efficient use of the available information difficult. The Survey of Surveys is a…

Counting the frequency of small subgraphs is a fundamental technique in network analysis across various domains, most notably in bioinformatics and social networks. The special case of triangle counting has received much attention. Getting…

Data Structures and Algorithms · Computer Science 2014-11-19 Madhav Jha , C. Seshadhri , Ali Pinar

A star of length $ \ell $ is defined as the complete bipartite graph $ K_{1,\ell } $. In this paper we deal with the problem of edge decomposition of graphs into stars of varying lengths. Given a graph $ G $ and a list of integers…

Computational Complexity · Computer Science 2025-06-10 Sahab Hajebi , Ramin Javadi

As large graph datasets become increasingly common across many fields, sampling is often needed to reduce the graphs into manageable sizes. This procedure raises critical questions about representativeness as no sample can capture the…

Social and Information Networks · Computer Science 2025-02-25 Alan Zhu , Jiaqi Ma , Qiaozhu Mei

We propose a variant of the Rapidly Exploring Random Tree Star (RRT$^{\star}$) algorithm to synthesize trajectories satisfying a given spatio-temporal specification expressed in a fragment of Signal Temporal Logic (STL) for linear systems.…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Gregorio Marchesini , Siyuan Liu , Lars Lindemann , Dimos V. Dimarogonas

For a set $S$ of vertices of a graph $G$, we define its density $0 \leq \sigma(S) \leq 1$ as the ratio of the number of edges of $G$ spanned by the vertices of $S$ to ${|S| \choose 2}$. We show that, given a graph $G$ with $n$ vertices and…

Combinatorics · Mathematics 2018-07-06 Alexander Barvinok , Anthony Della Pella

Most sampling techniques for online social networks (OSNs) are based on a particular sampling method on a single graph, which is referred to as a statistics. However, various realizing methods on different graphs could possibly be used in…

Social and Information Networks · Computer Science 2015-12-21 Xin Wang , Richard T. B. Ma , Yinlong Xu , Zhipeng Li

We apply a novel spectral graph technique, that of locally-biased semi-supervised eigenvectors, to study the diversity of galaxies. This technique permits us to characterize empirically the natural variations in observed spectra data, and…

Instrumentation and Methods for Astrophysics · Physics 2016-12-14 David Lawlor , Tamás Budavári , Michael W. Mahoney

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