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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
|
P. Arabie, L. J. Hubert, and G. De Soete, editors. Clustering and Classification. World Scientific, 1996.
|
 |
2
|
Sanjeev Arora , David Karger , Marek Karpinski, Polynomial time approximation schemes for dense instances of NP-hard problems, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.284-293, May 29-June 01, 1995, Las Vegas, Nevada, United States
[doi> 10.1145/225058.225140]
|
 |
3
|
Sanjeev Arora , Prabhakar Raghavan , Satish Rao, Approximation schemes for Euclidean k-medians and related problems, Proceedings of the thirtieth annual ACM symposium on Theory of computing, p.106-113, May 24-26, 1998, Dallas, Texas, United States
[doi> 10.1145/276698.276718]
|
| |
4
|
|
 |
5
|
|
| |
6
|
J. P. Benz~cri. Construction d'une classification ascendante hi~rarchique par la recherche en chaine des voisins r~ciproques. Les Cahiers de l'Analyse des Danndes, VII(2):209-218, 1982.
|
| |
7
|
|
| |
8
|
|
 |
9
|
Moses Charikar , Sudipto Guha , Éva Tardos , David B. Shmoys, A constant-factor approximation algorithm for the k-median problem (extended abstract), Proceedings of the thirty-first annual ACM symposium on Theory of computing, p.1-10, May 01-04, 1999, Atlanta, Georgia, United States
[doi> 10.1145/301250.301257]
|
| |
10
|
R. M. Cormack. A review of classification. J. Roy. Star. Soc. A, 134:321-367, 1971.
|
| |
11
|
H. E. Day and H. Edelsbrunner. Efficient algorithms for agglomerative hierarchical clusteriag methods. Journal of Classification, 1:7-24, 1984.
|
| |
12
|
|
| |
13
|
W. Fernandez de la Vega and M. Karpinski. Polynomial time approximation of dense weighted instances of maxcut. manuscript.
|
| |
14
|
|
| |
15
|
P. Drineas , Alan Frieze , Ravi Kannan , Santosh Vempala , V. Vinay, Clustering in large graphs and matrices, Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms, p.291-299, January 17-19, 1999, Baltimore, Maryland, United States
|
| |
16
|
A. W. F. Edwards and L. L. Cavalli-Sforza. A method for cluster analysis. Biometrics, 21:362-375, 1965.
|
| |
17
|
W. D. Fisher. On grouping for maximum homogeneity. Journal of the American Statistical Association, 53:789-798, 1958.
|
| |
18
|
R. M. Garey, D. S. Johnson, and L. Stockmeyer. Some simplified NP-complete graph problems. Theor. Cornput. Sci., 1:237-267, 1976.
|
| |
19
|
'A. D. Gordon. Classification. Chapman and Hall, 1981.
|
| |
20
|
J. C. Gower. A comparison of some methods of cluster analysis. Biometrics, 23:623-637, 1967.
|
| |
21
|
C. Greene and D. J. Kleitman. Proof techniques in the theory of finite sets. In G.-C. Rota, editor, Studies in Combinatorics. The Mathematical Association of America, 1978.
|
| |
22
|
P. Hansen, B. Jaumard, and N. Mladenovid. Minimum sum of squares clustering in a low dimensional space. Journal of Classification, 15:37-55, 1998.
|
| |
23
|
|
 |
24
|
Mary Inaba , Naoki Katoh , Hiroshi Imai, Applications of weighted Voronoi diagrams and randomization to variance-based k-clustering: (extended abstract), Proceedings of the tenth annual symposium on Computational geometry, p.332-339, June 06-08, 1994, Stony Brook, New York, United States
[doi> 10.1145/177424.178042]
|
| |
25
|
|
| |
26
|
|
| |
27
|
R. C. Jancey. Multidimensional group analysis. Australian Journal of Botany, 14:127-130, 1966.
|
| |
28
|
N. Jardine and R. Sibson. Mathematical Taxonomy. Wiley, 1971.
|
| |
29
|
W. B. Johnson and J. Lindenstrauss. Extensions of Lip~ schitz mappings into a Hfibert space. Contemp. Math., 26:189-206, 1984.
|
| |
30
|
J. Juan. Programme de classification hi~rarchique par l'algorithme de la recherche en chaine des voisins r~ciproques. Les Cahiers de l'Analyse des Dann4es, Vii(2):229-225, 1982.
|
| |
31
|
R. M. Karp. Reducibility among combinatorial problems. In R. E. Miller and J. W. Thatcher, editors, Complexity of Computer Computations, pages 85-103. Plenum Press, 1972.
|
| |
32
|
N. E. Kiseleva, I. B. Muchnik, and S. G. Novikov. Stratified samples in the problem of representative sampling. Automation and Remote Control, 47(5):684-693, 1986.
|
| |
33
|
|
| |
34
|
N. Linial, E. London, and Y. Rabinovich. The geometry of graphs and some of its algorithmic applications. In Proc. 35'th Annual Symposium on Foundations of Computer Science, pages 577-591. IEEE Press, 1994.
|
| |
35
|
J. MacQueen. Some methods for classification and analysis of multivariate observations. In L. M. Le Cam and J. Neyman, editors, Proceedings of the 5'th Berkeley Symposium on Mathematical Statistics and Probability, volume 1, pages 281-297. U. California Press, 1967.
|
| |
36
|
G. J. McLachlan and K. E. Basford. Mixture Models: Inference and Applications to Clustering. Marcel Dekker, 1988.
|
| |
37
|
B. Mirkin. Mathematical Classification and Clustering. Kluwer, 1996.
|
| |
38
|
B. G. Mirkin and I. Muchnik. Clustering and multidimensional scaling in Russia (1960-1990): a review. In P. Arabie, L. J. Hubert, and G. De Soete, editors, Clustering and Classification, pages 295-339. World Scientific, 1996.
|
| |
39
|
J. Neyman. On the two different aspects of the representative model: the method of stratified sampling and the method of purposive selection. J. R. Statis. Soc., 97:558-606, 1934.
|
| |
40
|
D. Pollard. Quantization and the method of k-means. iEEE Trans. In/orm. Theory, IT-28:199-205, March 1982.
|
| |
41
|
|
| |
42
|
S. Sahni and T. Gonzales. P-complete problems and approximate solutions. In 15th Annual Symposium on Switching and Automata Theory, pages 28-32. IEEE, 1974.
|
| |
43
|
A. J. Scott and M. J. Symons. On the Edwards and Cavalli-Sforza method of cluster analysis. Biometrics, 27:217-219, 1971.
|
| |
44
|
|
| |
45
|
M. I. Shlezinger. On unsupervised pattern recognition. In V. M. Glushkov, editor, Reading Automata, pages 62-70. Naukova Dumka, 1965.
|
| |
46
|
R. R. Sokal and P. H. A. Sneath. Principles of Numerical Taxonomy. Freeman, 1963.
|
| |
47
|
J. van Ryzin, editor. Classification and Clustering. Academic Press, 1977.
|
| |
48
|
J. H. Ward. Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association, 58:236-244, 1963.
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CITED BY 10
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Nina Mishra , Dan Oblinger , Leonard Pitt, Sublinear time approximate clustering, Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms, p.439-447, January 07-09, 2001, Washington, D.C., United States
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W. Fernandez de la Vega , Marek Karpinski , Claire Kenyon , Yuval Rabani, Approximation schemes for clustering problems, Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, June 09-11, 2003, San Diego, CA, USA
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