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\textit{Clustering problems} often arise in the fields like data mining, machine learning etc.
Pattern classification and scene analysis
Richard O Duda, Peter E Hart, et al · 1973
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Indexing by latent semantic analysis
Scott C. Deerwester, Susan T. Dumais, Thomas K. Landauer, George W. Furnas, and Richard A. Harshman · 1990
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Finding Groups in Data: An Introduction to Cluster Analysis
L. Kaufman and Peter J. Rousseeuw · 1990
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Michael J. Swain and Dana H. Ballard · 1991
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Efficient and effective querying by image content
Christos Faloutsos, Ron Barber, Myron Flickner, Jim Hafner, Wayne Niblack, Dragutin Petkovic, and William Equitz · 1994
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Applications of weighted voronoi diagrams and randomization to variance-based k -clustering (extended abstract)
Mary Inaba, Naoki Katoh, and Hiroshi Imai · 1994
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Advances in Knowledge Discovery and Data Mining
Usama M. Fayyad, Gregory Piatetsky-Shapiro, Padhraic Smyth, and Ramasamy Uthurusamy, editors · 1996
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Syntactic clustering of the web
Andrei Z. Broder, Steven C. Glassman, Mark S. Manasse, and Geoffrey Zweig · 1997
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Polynomial time approximation schemes for euclidean traveling salesman and other geometric problems
Sanjeev Arora · 1998
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Approximation schemes for euclidean k-medians and related problems
Sanjeev Arora, Prabhakar Raghavan, and Satish Rao · 1998
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Data clustering: A review
Anil K. Jain, M. Narasimha Murty, and Patrick J. Flynn · 1999
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Statistical pattern recognition: A review
Anil K. Jain, Robert P. W. Duin, and Jianchang Mao · 2000
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On approximate geometric k-clustering
Jirí Matousek · 2000
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Local search heuristics for k-median and facility location problems
Vijay Arya, Naveen Garg, Rohit Khandekar, Adam Meyerson, Kamesh Munagala, and Vinayaka Pandit · 2004
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On coresets for k-means and k-median clustering
Sariel Har-Peled and Soham Mazumdar · 2004
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A local search approximation algorithm for k-means clustering
Tapas Kanungo, David M. Mount, Nathan S. Netanyahu, Christine D. Piatko, Ruth Silverman, and Angela Y. Wu · 2004
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Np-hardness of euclidean sum-of-squares clustering
Daniel Aloise, Amit Deshpande, Pierre Hansen, and Preyas Popat · 2009
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PTAS for geometric hitting set problems via local search
Nabil H. Mustafa and Saurabh Ray · 2009
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Stability yields a PTAS for k-median and k-means clustering
Pranjal Awasthi, Avrim Blum, and Or Sheffet · 2010
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Approximation algorithms for maximum independent set of pseudo-disks
Timothy M. Chan and Sariel Har-Peled · 2012
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The planar k-means problem is np-hard
Meena Mahajan, Prajakta Nimbhorkar, and Kasturi R. Varadarajan · 2012
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The effectiveness of lloyd-type methods for the k-means problem
Rafail Ostrovsky, Yuval Rabani, Leonard J. Schulman, and Chaitanya Swamy · 2012
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Linear time algorithms for clustering problems in any dimensions
Amit Kumar, Yogish Sabharwal, and Sandeep Sen · 2005
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Smaller coresets for k-median and k-means clustering
Sariel Har-Peled and Akash Kushal · 2007
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A nearly linear-time approximation scheme for the euclidean k-median problem
Stavros G. Kolliopoulos and Satish Rao · 2007
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Simpler analyses of local search algorithms for facility location
Anupam Gupta and Kanat Tangwongsan · 2008
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Vijay V. S. P. Bhattiprolu and Sariel Har-Peled · 2014
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The hardness of approximation of euclidean k-means
Pranjal Awasthi, Moses Charikar, Ravishankar Krishnaswamy, and Ali Kemal Sinop · 2015
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Effectiveness of local search for geometric optimization
Vincent Cohen-Addad and Claire Mathieu · 2015
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A bi-criteria approximation algorithm for k means
Konstantin Makarychev, Yury Makarychev, Maxim Sviridenko, and Justin Ward · 2015
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