-
1
-
-
27544434853
-
On the spectral properties of the matrix-valued Friedrichs model
-
Amer. Math. Soc, Providence, RI, MR 1130183
-
ABDULLAEV, Z. and LAKAEV, S. (1991). On the spectral properties of the matrix-valued Friedrichs model. In Many-Particle Hamiltonians: Spectra and Scattering. Adv. Soviet Math. 5 1-37. Amer. Math. Soc., Providence, RI, MR 1130183
-
(1991)
Many-Particle Hamiltonians: Spectra and Scattering. Adv. Soviet Math
, vol.5
, pp. 1-37
-
-
ABDULLAEV, Z.1
LAKAEV, S.2
-
3
-
-
51049121433
-
-
ANSELONE, P. (1971). Collectively Compact Operator Approximation Theory. Prentice-Hall, Englewood Cliffs, NJ. MR0443383
-
ANSELONE, P. (1971). Collectively Compact Operator Approximation Theory. Prentice-Hall, Englewood Cliffs, NJ. MR0443383
-
-
-
-
4
-
-
51049096652
-
Uniform Glivenko - Cantelli theorems and concentration of measure in the mathematical modelling of learning
-
LSE-CDAM-2002-07
-
ANTHONY, M. (2002). Uniform Glivenko - Cantelli theorems and concentration of measure in the mathematical modelling of learning. Research Report LSE-CDAM-2002-07.
-
(2002)
Research Report
-
-
ANTHONY, M.1
-
5
-
-
21244451297
-
The numerical solution of the eigenvalue problem for compact integral operators
-
MR0220105
-
ATKINSON, K. (1967). The numerical solution of the eigenvalue problem for compact integral operators. Trans. Amer. Math. Soc. 129 458-465. MR0220105
-
(1967)
Trans. Amer. Math. Soc
, vol.129
, pp. 458-465
-
-
ATKINSON, K.1
-
6
-
-
0347989448
-
Methodologies in spectral analysis of large dimensional random matrices
-
MR1711663
-
BAI, Z. D. (1999). Methodologies in spectral analysis of large dimensional random matrices. Statist. Sinica 9 611-677. MR1711663
-
(1999)
Statist. Sinica
, vol.9
, pp. 611-677
-
-
BAI, Z.D.1
-
7
-
-
51049117133
-
-
BAKER, C. ( 1977). The Numerical Treatment of Integral Equations. Clarendon Press, Oxford. MR0467215
-
BAKER, C. ( 1977). The Numerical Treatment of Integral Equations. Clarendon Press, Oxford. MR0467215
-
-
-
-
8
-
-
84985349885
-
A spectral algorithm for envelope reduction of sparse matrices
-
MR 1349276
-
BARNARD, S., POTHEN, A. and SIMON, H. (1995). A spectral algorithm for envelope reduction of sparse matrices. Numer. Linear Algebra Appl. 2 317-334, MR 1349276
-
(1995)
Numer. Linear Algebra Appl
, vol.2
, pp. 317-334
-
-
BARNARD, S.1
POTHEN, A.2
SIMON, H.3
-
9
-
-
0032167175
-
-
BARTLETT, P., LINDER, T. and LUGOSI, G. (1998). The minimax distortion redundancy in empirical quantizer design. IEEE Trans. Inform. Theory 44 1802-1813. MR1664098
-
BARTLETT, P., LINDER, T. and LUGOSI, G. (1998). The minimax distortion redundancy in empirical quantizer design. IEEE Trans. Inform. Theory 44 1802-1813. MR1664098
-
-
-
-
10
-
-
0042378381
-
Laplacian eigenmaps for dimensionality reduction and data representation
-
MR0203473
-
BELKIN. M. and NIYOGI, P. (2003). Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput.151373-1396. MR0203473
-
(2003)
Neural Comput
, vol.15
, pp. 1373-1396
-
-
BELKIN, M.1
NIYOGI, P.2
-
11
-
-
9444254174
-
-
BEN-DAVID, S. (2004). A framework for statistical clustering with constant time approximation algorithms for K-median clustering. In Proceedings of the 17th Annual Conference on Learning Theory (COLT) (J. Shawe-Taylor and Y. Singer, eds.) 415-426. Springer, Berlin, MR2177925
-
BEN-DAVID, S. (2004). A framework for statistical clustering with constant time approximation algorithms for K-median clustering. In Proceedings of the 17th Annual Conference on Learning Theory (COLT) (J. Shawe-Taylor and Y. Singer, eds.) 415-426. Springer, Berlin, MR2177925
-
-
-
-
12
-
-
4344599431
-
Learning eigenfunctions links spectral embedding and kernel PCA
-
BENGIO, Y., VINCENT, P., PAIEMENT, J.-F., DELALLEAU, O. M. OUIMET, and LE ROUX, N. (2004). Learning eigenfunctions links spectral embedding and kernel PCA. Neural Comput. 16 2197-2219.
-
(2004)
Neural Comput
, vol.16
, pp. 2197-2219
-
-
BENGIO, Y.1
VINCENT, P.2
PAIEMENT, J.-F.3
DELALLEAU4
OUIMET, O.M.5
LE ROUX, N.6
-
13
-
-
51049112563
-
-
CHATELIN, F. (1983). Spectral Approximation of Linear Operators. Academic Press, New York. MR0716134
-
CHATELIN, F. (1983). Spectral Approximation of Linear Operators. Academic Press, New York. MR0716134
-
-
-
-
16
-
-
78149301227
-
A min-max cut algorithm for graph partitioning and data clustering
-
IEEE Computer Society, Washington, DC
-
DING, C., HE, X., ZHA, H., GU, M. and SIMON, H. (2001). A min-max cut algorithm for graph partitioning and data clustering. In Proceedings of the First IEEE International Conference on Data Mining (ICDM) 107-114. IEEE Computer Society, Washington, DC.
-
(2001)
Proceedings of the First IEEE International Conference on Data Mining (ICDM)
, pp. 107-114
-
-
DING, C.1
HE, X.2
ZHA, H.3
GU, M.4
SIMON, H.5
-
17
-
-
0015661138
-
Lower bounds for the partitioning of graphs
-
MR0329965
-
DONATH, W. E. and HOFFMAN, A. J. (1973). Lower bounds for the partitioning of graphs. IBM J. Res. Develop. 17 420-425. MR0329965
-
(1973)
IBM J. Res. Develop
, vol.17
, pp. 420-425
-
-
DONATH, W.E.1
HOFFMAN, A.J.2
-
18
-
-
51049120556
-
-
DUDLEY, R. M. (1999). Uniform Central Limit Theorems. Cambridge Univ. Press. MR 1720712
-
DUDLEY, R. M. (1999). Uniform Central Limit Theorems. Cambridge Univ. Press. MR 1720712
-
-
-
-
19
-
-
0001350119
-
Algebraic connectivity of graphs
-
MR0318007
-
FIEDLER, M. (1973). Algebraic connectivity of graphs. Czechoslovak Math. J. 23 298-305. MR0318007
-
(1973)
Czechoslovak Math. J
, vol.23
, pp. 298-305
-
-
FIEDLER, M.1
-
20
-
-
0032380450
-
On the quality of spectral separators
-
MR1611179
-
GUATTERY, S. and MILLER, G. (1998). On the quality of spectral separators. SIAM J. Matrix Anal. Appl. 19 701-719. MR1611179
-
(1998)
SIAM J. Matrix Anal. Appl
, vol.19
, pp. 701-719
-
-
GUATTERY, S.1
MILLER, G.2
-
21
-
-
0026925324
-
New spectral methods for ratio cut partitioning and clustering
-
HAGEN, L. and KAHNG, A. (1992). New spectral methods for ratio cut partitioning and clustering. IEEE Trans. Computer-Aided Design 11 1074-1085.
-
(1992)
IEEE Trans. Computer-Aided Design
, vol.11
, pp. 1074-1085
-
-
HAGEN, L.1
KAHNG, A.2
-
22
-
-
0001482122
-
Consistency of single linkage for high-density clusters
-
MR0624340
-
HARTIGAN, J. ( 1981). Consistency of single linkage for high-density clusters. J. Amer. Statist. Assoc. 76 388-394. MR0624340
-
(1981)
J. Amer. Statist. Assoc
, vol.76
, pp. 388-394
-
-
HARTIGAN, J.1
-
24
-
-
0000063845
-
An improved spectral graph partitioning algorithm for mapping parallel computations
-
MR 1317066
-
HENDRICKSON, B. and LELAND, R. (1995). An improved spectral graph partitioning algorithm for mapping parallel computations. SIAM J. Sci. Comput. 16 452-469. MR 1317066
-
(1995)
SIAM J. Sci. Comput
, vol.16
, pp. 452-469
-
-
HENDRICKSON, B.1
LELAND, R.2
-
25
-
-
18544384479
-
A unified view of spectral clustering
-
Univ. Strathclyde
-
HIGHAM, D. and KIBBLE, M. (2004). A unified view of spectral clustering. Mathematics Research Report 2, Univ. Strathclyde.
-
(2004)
Mathematics Research Report
, vol.2
-
-
HIGHAM, D.1
KIBBLE, M.2
-
26
-
-
22044454999
-
On the discrete spectrum of the nonanalytic matrix-valued Friedrichs model
-
MR 1627263, Available at
-
IKROMOV, I. and SHARIPOV, F. (1998). On the discrete spectrum of the nonanalytic matrix-valued Friedrichs model. Funct. Anal. Appl 32 49-50. Available at http://www.arxiv.org/ pdf/funct-an/9502004, MR 1627263
-
(1998)
Funct. Anal. Appl
, vol.32
, pp. 49-50
-
-
IKROMOV, I.1
SHARIPOV, F.2
-
28
-
-
0034497389
-
On clusterings - good, bad and spectral
-
CA, IEEE Comput. Soc. Press, Los Alamitos, CA. MR 1931834
-
KANNAN, R., VEMPALA, S. and VETTA. A. (2000). On clusterings - good, bad and spectral. In 41st Annual Symposium on Foundations Of Computer Science (Redondo Beach, CA, 2000) 367-377. IEEE Comput. Soc. Press, Los Alamitos, CA. MR 1931834
-
(2000)
41st Annual Symposium on Foundations Of Computer Science (Redondo Beach
, pp. 367-377
-
-
KANNAN, R.1
VEMPALA, S.2
VETTA, A.3
-
30
-
-
9444244014
-
Asymptotics of spectral projections of some random matrices approximating integral operators
-
Birkhäuser. Basel. MR 1652327
-
KOLTCHINSKII, V. (1998). Asymptotics of spectral projections of some random matrices approximating integral operators. In Progr. Probab. 43 191-227. Birkhäuser. Basel. MR 1652327
-
(1998)
Progr. Probab
, vol.43
, pp. 191-227
-
-
KOLTCHINSKII, V.1
-
31
-
-
4344709031
-
Random matrix approximation of spectra of integral operators
-
MR1781185
-
KOLTCHINSKII, V. and GINÉ, E. (2000). Random matrix approximation of spectra of integral operators. Bernoulli 6 113-167. MR1781185
-
(2000)
Bernoulli
, vol.6
, pp. 113-167
-
-
KOLTCHINSKII, V.1
GINÉ, E.2
-
32
-
-
27544502198
-
The discrete spectrum of a generalized Friedrichs model
-
MR0539360
-
LAKAEV, S. N. (1979). The discrete spectrum of a generalized Friedrichs model. Dokl. Akad. Nauk UzSSR 4 9-10. MR0539360
-
(1979)
Dokl. Akad. Nauk UzSSR
, vol.4
, pp. 9-10
-
-
LAKAEV, S.N.1
-
34
-
-
35248851077
-
A few notes on statistical learning theory
-
Advanced Lectures in Machine Learning, Springer, Berlin
-
MENDELSON, S. (2003). A few notes on statistical learning theory. Advanced Lectures in Machine Learning. Lecture Notes in Comput. Sci. 2600 1-40. Springer, Berlin.
-
(2003)
Lecture Notes in Comput. Sci
, vol.2600
, pp. 1-40
-
-
MENDELSON, S.1
-
35
-
-
51049094757
-
-
MOHAR, B. (1991). The Laplacian spectrum of graphs. In Graph Theory, Combinatorics, and Applications 2 (Kalamazoo, MI, 1988) 871-898. Wiley, New York. MR1170831
-
MOHAR, B. (1991). The Laplacian spectrum of graphs. In Graph Theory, Combinatorics, and Applications 2 (Kalamazoo, MI, 1988) 871-898. Wiley, New York. MR1170831
-
-
-
-
36
-
-
84899013108
-
On spectral clustering: Analysis and an algorithm
-
T. Dietterich, S. Becker and Z. Ghahramani, eds, MIT Press
-
NG, A., JORDAN, M. and WEISS, Y. (2002). On spectral clustering: Analysis and an algorithm. In Advances in Neural Information Processing Systems (T. Dietterich, S. Becker and Z. Ghahramani, eds.) 14 849-856. MIT Press.
-
(2002)
Advances in Neural Information Processing Systems
, vol.14
, pp. 849-856
-
-
NG, A.1
JORDAN, M.2
WEISS, Y.3
-
37
-
-
9444255929
-
An approach to data reduction and clustering with theoretical guarantees
-
P. Langley, ed, Morgan Kaufmann, San Francisco, CA
-
NIYOGI, P. and KARMARKAR, N. K. (2000). An approach to data reduction and clustering with theoretical guarantees. In Proceedings of the Seventeenth International Conference on Machine Learning (P. Langley, ed.) 679-686. Morgan Kaufmann, San Francisco, CA.
-
(2000)
Proceedings of the Seventeenth International Conference on Machine Learning
, pp. 679-686
-
-
NIYOGI, P.1
KARMARKAR, N.K.2
-
38
-
-
0000963889
-
Strong consistency of k-means clustering
-
MR0600539
-
POLLARD, D. (1981). Strong consistency of k-means clustering. Ann. Statist. 9 135-140. MR0600539
-
(1981)
Ann. Statist
, vol.9
, pp. 135-140
-
-
POLLARD, D.1
-
39
-
-
51049105355
-
-
POLLARD, D. ( 1984). Convergence of Stochastic Processes. Springer. New York. MR0762984
-
POLLARD, D. ( 1984). Convergence of Stochastic Processes. Springer. New York. MR0762984
-
-
-
-
40
-
-
0000812783
-
Partitioning sparse matrices with eigenvectors of graphs
-
MR 1054210
-
POTHEN, A., SIMON, H. D. and LIOU. K. P. (1990). Partitioning sparse matrices with eigenvectors of graphs. SIAM J. Matrix Anal. Appl. 11 430-452. MR 1054210
-
(1990)
SIAM J. Matrix Anal. Appl
, vol.11
, pp. 430-452
-
-
POTHEN, A.1
SIMON, H.D.2
LIOU, K.P.3
-
41
-
-
51049088260
-
-
REED, M. and SIMON, B. (1980). Functional Analysis. I, 2nd ed. Academic Press, New York. MR0751959
-
REED, M. and SIMON, B. (1980). Functional Analysis. I, 2nd ed. Academic Press, New York. MR0751959
-
-
-
-
42
-
-
84942814250
-
-
SHAWE-TAYLOR, J., WILLIAMS. C., CRISTIANINI, N. and KANDOLA. J. (2002). On the eigenspectrum of the Gram matrix and its relationship to the operator eigenspectrum. In Proceedings of the 13th International Conference on Algorithmic Learning Theory (N. Cesa-Bianchi, M. Numao and R. Reischuk. eds.) 23-40. Springer, Berlin. MR2071605
-
SHAWE-TAYLOR, J., WILLIAMS. C., CRISTIANINI, N. and KANDOLA. J. (2002). On the eigenspectrum of the Gram matrix and its relationship to the operator eigenspectrum. In Proceedings of the 13th International Conference on Algorithmic Learning Theory (N. Cesa-Bianchi, M. Numao and R. Reischuk. eds.) 23-40. Springer, Berlin. MR2071605
-
-
-
-
44
-
-
0030381960
-
-
SPIELMAN, D. and TENG, S. (1996). Spectral partitioning works: planar graphs and finite element meshes. In 37th Annual Symposium on Foundations of Computer Science (Burling-ton, VT, 1996) 96-105. IEEE Comput. Soc. Press. Los Alamitos, CA. MR1450607
-
SPIELMAN, D. and TENG, S. (1996). Spectral partitioning works: planar graphs and finite element meshes. In 37th Annual Symposium on Foundations of Computer Science (Burling-ton, VT, 1996) 96-105. IEEE Comput. Soc. Press. Los Alamitos, CA. MR1450607
-
-
-
-
46
-
-
0029197190
-
An improved spectral bisection algorithm and its application to dynamic load balancing
-
MR 1314376
-
VAN DRIESSCHE, R. and ROOSE, D. (1995). An improved spectral bisection algorithm and its application to dynamic load balancing. Parallel Comput. 21 29-48. MR 1314376
-
(1995)
Parallel Comput
, vol.21
, pp. 29-48
-
-
VAN DRIESSCHE, R.1
ROOSE, D.2
-
48
-
-
34548583274
-
A tutorial on spectral clustering
-
To appear
-
VON LUXBURG, U. (2007). A tutorial on spectral clustering. Stat. Comput. 17. To appear.
-
(2007)
Stat. Comput
, vol.17
-
-
VON LUXBURG, U.1
-
50
-
-
0039722607
-
The effect of the input density distribution on kernel-based classifiers
-
P. Langley, ed, Morgan Kaufmann, San Francisco
-
WILLIAMS, C. K. I. and SEEGER, M. (2000). The effect of the input density distribution on kernel-based classifiers. In Proceedings of the 17th International Conference on Machine Learning (P. Langley, ed.) 1159-1166. Morgan Kaufmann, San Francisco.
-
(2000)
Proceedings of the 17th International Conference on Machine Learning
, pp. 1159-1166
-
-
WILLIAMS, C.K.I.1
SEEGER, M.2
-
51
-
-
0036748375
-
The covering number in learning theory
-
MR 1928805
-
ZHOU, D.-X. (2002). The covering number in learning theory. J. Complexity 18 739-767. MR 1928805
-
(2002)
J. Complexity
, vol.18
, pp. 739-767
-
-
ZHOU, D.-X.1
|