-
1
-
-
0000719973
-
Convergence of vector quantizers with applications to optimal quantization
-
E. ABAYA AND F. WISE, Convergence of vector quantizers with applications to optimal quantization, SIAM J. Appl. Math., 44 (1984), pp. 183-189.
-
(1984)
SIAM J. Appl. Math.
, vol.44
, pp. 183-189
-
-
Abaya, E.1
Wise, F.2
-
2
-
-
85031281851
-
Clustering algorithms based on minimum and maximum spanning trees
-
University of Illinois, Urbana
-
T. ASANO, B. BHATTACHARYA, M. KEIL, AND F. YAO, Clustering algorithms based on minimum and maximum spanning trees, in Proceedings of the Fourth Annual Symposium on Computational Geometry, University of Illinois, Urbana, 1988, pp. 252-257.
-
(1988)
Proceedings of the Fourth Annual Symposium on Computational Geometry
, pp. 252-257
-
-
Asano, T.1
Bhattacharya, B.2
Keil, M.3
Yao, F.4
-
3
-
-
0016333107
-
Hexagonal territories
-
G. BARLOW, Hexagonal territories, Animal Behav., 22 (1974), pp. 876-878.
-
(1974)
Animal Behav.
, vol.22
, pp. 876-878
-
-
Barlow, G.1
-
4
-
-
0001626339
-
A classification EM algorithm for clustering and two stochastic versions
-
G. CELEUX AND G. GOVAERT, A classification EM algorithm for clustering and two stochastic versions, Comput. Statist. Data. Anal., 14 (1992), pp. 315-332.
-
(1992)
Comput. Statist. Data. Anal.
, vol.14
, pp. 315-332
-
-
Celeux, G.1
Govaert, G.2
-
5
-
-
0029196051
-
Optimal adaptive k-means algorithm with dynamic adjustment of learning rate
-
C. CHINRUNGRUENG AND C. SEQUIN, Optimal adaptive k-means algorithm with dynamic adjustment of learning rate, IEEE Trans. Neural Net., 6 (1995), pp. 157-169).
-
(1995)
IEEE Trans. Neural Net.
, vol.6
, pp. 157-169
-
-
Chinrungrueng, C.1
Sequin, C.2
-
6
-
-
0000684663
-
Optisim - An extended, dissimilarity selection method for finding diverse representative, subsets
-
R. CLARK, Optisim - An extended, dissimilarity selection method for finding diverse representative, subsets, J. Chem. Inform. Comput. Sci., 37 (1997), pp. 1181-1188.
-
(1997)
J. Chem. Inform. Comput. Sci.
, vol.37
, pp. 1181-1188
-
-
Clark, R.1
-
8
-
-
0029254034
-
Polynomial approximation and vector quantization - A region-based integration
-
F. DENATALE, G. DESOLI, D. GIUSTO, AND G. VERNAZZA, Polynomial approximation and vector quantization - A region-based integration, IEEE Trans. Comm., 43 (1995), pp. 198-206.
-
(1995)
IEEE Trans. Comm.
, vol.43
, pp. 198-206
-
-
Denatale, F.1
Desoli, G.2
Giusto, D.3
Vernazza, G.4
-
10
-
-
85067544343
-
A remark on Algorithm AS136: K-means clustering algorithm
-
R. ENGLAND AND D. BENYON, A remark on Algorithm AS136: k-means clustering algorithm, Appl. Statist., 30 (1981), pp. 355-356.
-
(1981)
Appl. Statist.
, vol.30
, pp. 355-356
-
-
England, R.1
Benyon, D.2
-
11
-
-
84950754164
-
Exploratory projection pursuit
-
J. FRIEDMAN, Exploratory projection pursuit, J. Amer. Statist. Assoc., 82 (1987), pp. 249-266.
-
(1987)
J. Amer. Statist. Assoc.
, vol.82
, pp. 249-266
-
-
Friedman, J.1
-
13
-
-
0020100099
-
The complexity of the generalized Lloyd-Max problem
-
M. GAREY, D. JOHNSON, AND H. WITSENHAUSEN, The complexity of the generalized Lloyd-Max problem, IEEE Trans. Inform. Theory, 28 (1982), pp. 255-256.
-
(1982)
IEEE Trans. Inform. Theory
, vol.28
, pp. 255-256
-
-
Garey, M.1
Johnson, D.2
Witsenhausen, H.3
-
14
-
-
0018491303
-
Asymptotically optimal block quantization
-
A. GERSHO, Asymptotically optimal block quantization, IEEE Trans. Inform. Theory, 25 (1979), pp. 373-380.
-
(1979)
IEEE Trans. Inform. Theory
, vol.25
, pp. 373-380
-
-
Gersho, A.1
-
16
-
-
0000038794
-
Locally optimal block quantizer design
-
R. GRAY, J. KIEFFER, AND Y. LINDE, Locally optimal block quantizer design, Inform. and Control, 45 (1980), pp. 178-198.
-
(1980)
Inform. and Control
, vol.45
, pp. 178-198
-
-
Gray, R.1
Kieffer, J.2
Linde, Y.3
-
18
-
-
0000552128
-
On polynomial-based projection indices for exploratory projection pursuit
-
P. HALL, On polynomial-based projection indices for exploratory projection pursuit, Ann. Statist., 17 (1989), pp. 589-605.
-
(1989)
Ann. Statist.
, vol.17
, pp. 589-605
-
-
Hall, P.1
-
20
-
-
0000637050
-
Asymptotic distribution for clustering centers
-
J. HARTIGAN, Asymptotic distribution for clustering centers, Ann. Statist., 6 (1978), pp. 117-131.
-
(1978)
Ann. Statist.
, vol.6
, pp. 117-131
-
-
Hartigan, J.1
-
21
-
-
0001138328
-
A k-means clustering algorithm
-
J. HARTIGAN AND M. WONG, A k-means clustering algorithm, Appl. Statist. 28 (1979), pp. 100-108.
-
(1979)
Appl. Statist.
, vol.28
, pp. 100-108
-
-
Hartigan, J.1
Wong, M.2
-
22
-
-
51249187364
-
On the pattern of space division by territories
-
M. HASEGAWA AND M. TANEMURA, On the pattern of space division by territories, Ann. Inst. Statist. Math., 28 (1976), pp. 509-519.
-
(1976)
Ann. Inst. Statist. Math.
, vol.28
, pp. 509-519
-
-
Hasegawa, M.1
Tanemura, M.2
-
23
-
-
0006886310
-
Spatial patterns of territories
-
K. Matusita, ed., North Holland, Amsterdam
-
M. HASEGAWA AND M. TANEMURA, Spatial patterns of territories, Recent Developments in Statistical Inference and Data Analysis, K. Matusita, ed., North Holland, Amsterdam, 1980, pp. 73-78.
-
(1980)
Recent Developments in Statistical Inference and Data Analysis
, pp. 73-78
-
-
Hasegawa, M.1
Tanemura, M.2
-
24
-
-
0040684478
-
Efficient algorithms for variance-based k-clustering
-
World Scientific, River Edge, NJ
-
S. HASEGAWA, H. IMAI, M. INABA, N. KATOH, AND J. NAKANO, Efficient algorithms for variance-based k-clustering, in Proceedings of the First Pacific Conference on Computer Graphics and Applications, World Scientific, River Edge, NJ, 1993, pp. 75-89.
-
(1993)
Proceedings of the First Pacific Conference on Computer Graphics and Applications
, pp. 75-89
-
-
Hasegawa, S.1
Imai, H.2
Inaba, M.3
Katoh, N.4
Nakano, J.5
-
25
-
-
0020153694
-
Color image quantization frame buffer display
-
P. HECKERT, Color image quantization frame buffer display, ACM Trans. Comput. Graph., 16 (1982), pp. 297-304.
-
(1982)
ACM Trans. Comput. Graph.
, vol.16
, pp. 297-304
-
-
Heckert, P.1
-
26
-
-
0038934825
-
The asymptotic efficiency of randomized nets for quadrature
-
F. HICKERNELL AND H. HONG, The asymptotic efficiency of randomized nets for quadrature, Math. Comp., 68 (1999), pp. 767-791.
-
(1999)
Math. Comp.
, vol.68
, pp. 767-791
-
-
Hickernell, F.1
Hong, H.2
-
27
-
-
0017829092
-
Description of cellular patterns by Dirichlet domains: The two-dimensional case
-
H. HONDA, Description of cellular patterns by Dirichlet domains: The two-dimensional case, J. Theoret. Biol., 72 (1978), pp. 523-543.
-
(1978)
J. Theoret. Biol.
, vol.72
, pp. 523-543
-
-
Honda, H.1
-
28
-
-
0020972609
-
Geometrical modelling for cells in tissues
-
H. HONDA, Geometrical modelling for cells in tissues, Inter. Rev. Cytol., 81 (1983), pp. 191-248.
-
(1983)
Inter. Rev. Cytol.
, vol.81
, pp. 191-248
-
-
Honda, H.1
-
29
-
-
0000263797
-
Projection pursuit, with discussion
-
P. HUBER, Projection pursuit, with discussion, Ann. Statist., 13 (1985), pp. 435-525.
-
(1985)
Ann. Statist.
, vol.13
, pp. 435-525
-
-
Huber, P.1
-
31
-
-
0027928863
-
Applications of weighted Voronoi diagrams and randomization to variance-based k-clustering
-
H. IMAI, N. KATOH, AND M. INABA, Applications of weighted Voronoi diagrams and randomization to variance-based k-clustering, Proceedings of the 10th ACM Symposium on Computational Geometry, 1994, pp. 332-339.
-
(1994)
Proceedings of the 10th ACM Symposium on Computational Geometry
, pp. 332-339
-
-
Imai, H.1
Katoh, N.2
Inaba, M.3
-
33
-
-
0021290720
-
A fast Voronoi-diagram algorithm with applications to geographical optimization problems
-
Proceedings of the 11th IFIP Conference on System Modelling and Optimzation, Springer-Verlag, New York
-
M. IRI, K. MUROTA, AND T. OHYA, A fast Voronoi-diagram algorithm with applications to geographical optimization problems, in Proceedings of the 11th IFIP Conference on System Modelling and Optimzation, Lecture Notes in Control and Inform. Sci. 59, Springer-Verlag, New York, pp. 273-288.
-
Lecture Notes in Control and Inform. Sci.
, vol.59
, pp. 273-288
-
-
Iri, M.1
Murota, K.2
Ohya, T.3
-
35
-
-
0003377226
-
Bootstrapping k-means clustering
-
M. JHUN, Bootstrapping k-means clustering, J. Japanese Soc. Comput. Statist., 3 (1990), pp. 1-14.
-
(1990)
J. Japanese Soc. Comput. Statist.
, vol.3
, pp. 1-14
-
-
Jhun, M.1
-
36
-
-
0005458213
-
Uniqueness of locally optimal quantizer for log-concave density and convex error function
-
J. KIEFFER, Uniqueness of locally optimal quantizer for log-concave density and convex error function, IEEE Trans. Inform. Theory, 29 (1983), pp. 42-47.
-
(1983)
IEEE Trans. Inform. Theory
, vol.29
, pp. 42-47
-
-
Kieffer, J.1
-
37
-
-
0003351855
-
Concrete and abstract voronoi diagrams
-
Springer, New York
-
R. KLEIN, Concrete and Abstract Voronoi Diagrams, Lecture Notes in Comput. Sci. 400, Springer, New York, 1989.
-
(1989)
Lecture Notes in Comput. Sci.
, vol.400
-
-
Klein, R.1
-
38
-
-
0018918171
-
An algorithm for vector quantizer design
-
Y. LINDE, A. BUZO, AND R. GRAY, An algorithm for vector quantizer design, IEEE Trans. Comm., 28 (1980), pp. 84-95.
-
(1980)
IEEE Trans. Comm.
, vol.28
, pp. 84-95
-
-
Linde, Y.1
Buzo, A.2
Gray, R.3
-
39
-
-
0020102027
-
Least square quantization in PCM
-
S. LLOYD, Least square quantization in PCM, IEEE Trans. Inform. Theory, 28 (1982), pp. 129-137.
-
(1982)
IEEE Trans. Inform. Theory
, vol.28
, pp. 129-137
-
-
Lloyd, S.1
-
40
-
-
0001457509
-
Some methods for classification and analysis of multivariate observations
-
L. Le Cam and J. Neyman, eds., University of California, Berkeley
-
J. MACQUEEN, Some methods for classification and analysis of multivariate observations, in Proceedings, Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. I, L. Le Cam and J. Neyman, eds., University of California, Berkeley, 1967, pp. 281-297.
-
(1967)
Proceedings, Fifth Berkeley Symposium on Mathematical Statistics and Probability
, vol.1
, pp. 281-297
-
-
Macqueen, J.1
-
41
-
-
0003357560
-
Dynamic grid adaptation and grid quality
-
CRC, Boca Raton, FL
-
D. MCRAE AND K. LAFLIN, Dynamic grid adaptation and grid quality, in CRC Handbook of Grid Generation, CRC, Boca Raton, FL, 1998, pp. 34-1-33.
-
(1998)
CRC Handbook of Grid Generation
, pp. 34-31
-
-
Mcrae, D.1
Laflin, K.2
-
43
-
-
0032162992
-
An efficient vector quantizer providing globally optimal-solutions
-
U. MOLLER, M. GALICKI, E. BARESOVA, AND H. WITTE, An efficient vector quantizer providing globally optimal-solutions, IEEE Trans. Signal Proc., 46 (1998), pp. 2515-2529.
-
(1998)
IEEE Trans. Signal Proc.
, vol.46
, pp. 2515-2529
-
-
Moller, U.1
Galicki, M.2
Baresova, E.3
Witte, H.4
-
45
-
-
0026822185
-
Direct discretization of planar div-curl problems
-
R. NICOLAIDES, Direct discretization of planar div-curl problems, SIAM J. Numer. Anal., 29 (1992), pp. 32-56.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 32-56
-
-
Nicolaides, R.1
-
47
-
-
0003760944
-
-
Wiley, Chichester, UK
-
A. OKABE, B. BOOTS, AND K. SUGIHARA, Spatial. Tessellations; Concepts and Applications of Voronoi Diagrams, Wiley, Chichester, UK, 1992.
-
(1992)
Spatial. Tessellations; Concepts and Applications of Voronoi Diagrams
-
-
Okabe, A.1
Boots, B.2
Sugihara, K.3
-
49
-
-
0000875750
-
Fast evaluation of multidimensional integrals
-
A. PAPAGEORGIOU AND J. TRAUB, Fast evaluation of multidimensional integrals, Comput. Phys., 11 (1997), pp. 574-579.
-
(1997)
Comput. Phys.
, vol.11
, pp. 574-579
-
-
Papageorgiou, A.1
Traub, J.2
-
50
-
-
0009629484
-
Strong consistency of k-means clustering criterion in separable metric spaces
-
K. PARNA, Strong consistency of k-means clustering criterion in separable metric spaces, Tartu Riikl. Ul. Toimetised, 733 (1986), pp. 86-96.
-
(1986)
Tartu Riikl. Ul. Toimetised
, vol.733
, pp. 86-96
-
-
Parna, K.1
-
51
-
-
0009574243
-
On the stability of k-means clustering in metric spaces
-
K. PARNA, On the stability of k-means clustering in metric spaces, Tartu Riikl. Ul. Toimetised, 798 (1988), pp. 19-36.
-
(1988)
Tartu Riikl. Ul. Toimetised
, vol.798
, pp. 19-36
-
-
Parna, K.1
-
52
-
-
0000963889
-
Strong consistency of k-mean clustering
-
D. POLLARD Strong consistency of k-mean clustering, Ann. Statist., 9 (1981), pp. 135-140.
-
(1981)
Ann. Statist.
, vol.9
, pp. 135-140
-
-
Pollard, D.1
-
53
-
-
0000963885
-
A central limit theorem for k-means clustering
-
D. POLLARD, A central limit theorem for k-means clustering, Ann. Statist., 10 (1982), pp. 919-926.
-
(1982)
Ann. Statist.
, vol.10
, pp. 919-926
-
-
Pollard, D.1
-
55
-
-
0021202650
-
K-means-type algorithms: A generalized convergence theorem and characterization of local optimality
-
S. SELIM AND M. ISMAIL, K-means-type algorithms: A generalized convergence theorem and characterization of local optimality, IEEE Trans. Pattern Anal. Mach. Intell., PAMI-6 (1984), pp. 81-87.
-
(1984)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.PAMI-6
, pp. 81-87
-
-
Selim, S.1
Ismail, M.2
-
56
-
-
84960586939
-
On the calculation of the most probable values of frequency constants for data arranged according to equidistant divisions of a scale
-
W. SHEPPARD, On the calculation of the most probable values of frequency constants for data arranged according to equidistant divisions of a scale, Proc. London Math. Soc., 24 (1898), pp. 353-390.
-
(1898)
Proc. London Math. Soc.
, vol.24
, pp. 353-390
-
-
Sheppard, W.1
-
57
-
-
0002522806
-
When are Quasi-Monte Carlo algorithms efficient for high-dimensional integrals?
-
I. SLOAN AND H. WOŹNIAKOWSKI, When are quasi-Monte Carlo algorithms efficient for high-dimensional integrals?, J. Complexity, 14 (1998), pp. 1-33.
-
(1998)
J. Complexity
, vol.14
, pp. 1-33
-
-
Sloan, I.1
Woźniakowski, H.2
-
58
-
-
0001254122
-
Asymptotics of k-means clustering based on projection pursuit
-
W. STUTE AND L. ZHU, Asymptotics of k-means clustering based on projection pursuit, Sankhyā Ser. A, 57 (1995), pp. 462-471.
-
(1995)
Sankhyā Ser. A
, vol.57
, pp. 462-471
-
-
Stute, W.1
Zhu, L.2
-
59
-
-
0039581956
-
Approximation of a tessellation of the plane by a Voronoi diagram
-
A. SUZUKI AND M. IRI, Approximation of a tessellation of the plane by a Voronoi diagram, J. Oper. Res. Soc. Japan, 29 (1986), pp. 69-96.
-
(1986)
J. Oper. Res. Soc. Japan
, vol.29
, pp. 69-96
-
-
Suzuki, A.1
Iri, M.2
-
60
-
-
0019318541
-
Geometrical models of territory. I. Models for synchronous and asynchronous settlement of territories
-
M. TANEMURA AND M. HASEGAWA, Geometrical models of territory. I. Models for synchronous and asynchronous settlement of territories, J. Theoret. Biol., 82 (1980), pp. 477-496.
-
(1980)
J. Theoret. Biol.
, vol.82
, pp. 477-496
-
-
Tanemura, M.1
Hasegawa, M.2
-
61
-
-
0027878665
-
On the design of an optimal quantizer
-
A. TRUSHKIN, On the design of an optimal quantizer, IEEE Trans. Inform. Theory, 39 (1993), pp. 1180-1194.
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, pp. 1180-1194
-
-
Trushkin, A.1
-
62
-
-
0024032487
-
An algorithm for multidimensional data clustering
-
S. WAN, S. WONG, AND P. PRUSINKIEWICZ, An algorithm for multidimensional data clustering ACM Trans. Math. Software, 14 (1988), pp. 153-162.
-
(1988)
ACM Trans. Math. Software
, vol.14
, pp. 153-162
-
-
Wan, S.1
Wong, S.2
Prusinkiewicz, P.3
-
63
-
-
0001042639
-
Asymptotic properties of univariate sample k-means clusters
-
M. WONG, Asymptotic properties of univariate sample k-means clusters, J. Classification, 1 (1984), pp. 255-270.
-
(1984)
J. Classification
, vol.1
, pp. 255-270
-
-
Wong, M.1
-
64
-
-
0005825080
-
-
Tech. Report, Department of Computer Science, University of Calgary, Alberta, Canada
-
X. WU AND I. WITTEN, A Fast k-Means Type Clustering Algorithm, Tech. Report, Department of Computer Science, University of Calgary, Alberta, Canada, 1985.
-
(1985)
A Fast k-means Type Clustering Algorithm
-
-
Wu, X.1
Witten, I.2
|