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K-median Algorithms: Theory in Practice

K-median Algorithms: Theory in Practice

k-median problem as simply the k-median problem. If X = F = C, a k-median algorithm simply clusters the points in the metric space. 1.3 Existing Theoretical Research There is a large body of existing research on k-median approximation algorithms. A forward greedy algorithm iteratively open facilities by choosing the next unopened facility so as to minimize the cost function de ned above ...

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K-median Algorithms: Theory in Practice

K-median Algorithms: Theory in Practice

K-median Algorithms: Theory in Practice David Dohan, Stefani Karp, Brian Matejek Submitted: January 16, 2015 1 Introduction 1.1 Background and Notation The k-median problem has received signi cant attention for decades, primarily in computer science and operations research. The problem is generally formalized as follows: Given a metric space X, a set of clients C2X, and a set of facilities F2X ...

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K-median Algorithms: Theory in Practice

K-median Algorithms: Theory in Practice

K-median Algorithms: Theory in Practice David Dohan, Stefani Karp, Brian Matejek Submitted: January 13, 2015 1 Introduction 1.1 Background and Notation The k-median problem has received signi cant attention for decades, primarily in computer science and operations research. The problem can be formalized as follows: Given a metric space X, a set of clients C2X, and a set of facilities F2Xsuch ...

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Faster Algorithms for k-Median Problem on Trees with ...

Faster Algorithms for k-Median Problem on Trees with ...

Faster algorithms for k-medianproblem on trees with smaller heights. Rahul Shah* Purdue University Abstract. The k-medilwproblem is one of the classical problems in lo=tion theory and clustering. It has been well-studied for over the decades. Given a distance metric on n

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Interpolating between k-Median and -Center: Approximation ...

Interpolating between k-Median and -Center: Approximation ...

theory and ordered-median models, we refer the reader to [8, 7]. In our work, we develop an (18 + )-approximation algorithm for the ordered k-median problem. In Section 2, we first develop constant-factor approximation algorithms for the case of f0;1g-weights, which introduces many of the ideas needed to handle the general setting. In Section 3, we generalize these ideas to obtain constant ...

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Lecture2—The k-medianclusteringproblem 2.1 Problem formulation

Lecture2—The k-medianclusteringproblem 2.1 Problem formulation

CSE 291: Geometric algorithms Spring 2013 Lecture2—Thek-medianclusteringproblem 2.1 Problem formulation Last time we saw the k-center problem, in which the input is a set S of data points and the goal is to choose k representatives for S. The distortion on a point x ∈S is then the distance to its closest representative. The overall goal is to make sure that every point in S has low ...

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Tight FPT Approximations for k-Median and k-Means

Tight FPT Approximations for k-Median and k-Means

2012ACMSubjectClassification Theoryofcomputation→ Facilitylocationandclustering;Theory ofcomputation→ Fixedparametertractability;Theoryofcomputation→ Submodularoptimization andpolymatroids Keywordsandphrases approximationalgorithms,fixed-parametertractability,k-median,k-means, clustering,core-sets DigitalObjectIdentifier 10.4230/LIPIcs.ICALP.2019.42 Category TrackA:Algorithms ...

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Algorithms and Combinatorics

Algorithms and Combinatorics

Theory and Algorithms Fifth Edition 123. Bernhard Korte Jens Vygen University of Bonn Research Institute for Discrete Mathematics Lennéstr. 2 53113 Bonn Germany [email protected] [email protected] Algorithms and Combinatorics ISSN 0937-5511 ISBN 978-3-642-24487-2 e-ISBN 978-3-642-24488-9 DOI 10.1007/978-3-642-24488-9 Springer Heidelberg Dordrecht London New York Library of Congress Control ...

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Springer Monographs in Mathematics

Springer Monographs in Mathematics

Theory, Algorithms and Applications Second edition. Prof. Jørgen Bang-Jensen University of Southern Denmark Dept. Mathematics & Computer Science Campusvej 55 5230 Odense Denmark [email protected] Prof. Gregory Z. Gutin Royal Holloway Univ. London Dept. Computer Science Egham Hill Egham, Surrey United Kingdom TW20 0EX [email protected] ISSN 1439-7382 ISBN 978-1-84800-997-4 (hardcover) ISBN ...

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GRAPH THEORY, ALGORITHMS - Lagout

GRAPH THEORY, ALGORITHMS - Lagout

The Haifa Workshops on Interdisciplinary Applications of Graph Theory, Combina-torics and Algorithms have been held at the Caesarea Rothschild Institute (C.R.I.), University of Haifa, every year since 2001. This volume consists of survey chapters based on presentations given at the 2001 and 2002 Workshops, as well as other collo- quia given at C.R.I. The Rothschild Lectures of Richard Karp ...

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Social media, Financial Algorithms, and the Hack Crash

Social media, Financial Algorithms, and the Hack Crash

Social media, Financial Algorithms, and the Hack Crash Tero Karppi, State University of New York at Buffalo, [email protected] Kate Crawford, Microsoft Research and MIT Center for Civic Media, [email protected] . Electronic copy available at : http ://ssrn.com /abstract = 2602857 Pre-print version. Reference: Karppi, T & Crawford K (2015) Social media, Financial Algorithms, and the Hack ...

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