-
1
-
-
39649083610
-
Fast rates for estimation error and oracle inequalities for model selection
-
MR2490397
-
BARTLETT, P. L. (2008). Fast rates for estimation error and oracle inequalities for model selection. Econometric Theory 24 545-552. MR2490397
-
(2008)
Econometric Theory
, vol.24
, pp. 545-552
-
-
Bartlett, P.L.1
-
5
-
-
48849115978
-
Statistical performance of support vector machines
-
MR2396805
-
BLANCHARD, G., BOUSQUET, O. and MASSART, P. (2008). Statistical performance of support vector machines. Ann. Statist. 36 489-531. MR2396805
-
(2008)
Ann. Statist
, vol.36
, pp. 489-531
-
-
Blanchard, G.1
Bousquet, O.2
Massart, P.3
-
6
-
-
84957129283
-
Estimates of singular numbers of integral operators
-
MR0438186
-
BIRMAN, M. Š. and SOLOMYAK, M. Z. (1977). Estimates of singular numbers of integral operators. Uspehi Mat. Nauk 32 15-89. MR0438186
-
(1977)
Uspehi Mat. Nauk
, vol.32
, pp. 15-89
-
-
Birman, M.Š.1
Solomyak, M.Z.2
-
7
-
-
34548537866
-
Optimal rates for regularized least-squares algorithm
-
MR2335249
-
CAPONNETTO, A. and DE VITO, E. (2007). Optimal rates for regularized least-squares algorithm. Found. Comput. Math. 7 331-368. MR2335249
-
(2007)
Found. Comput. Math.
, vol.7
, pp. 331-368
-
-
Caponnetto, A.1
De Vito, E.2
-
8
-
-
0036071370
-
On the mathematical foundations of learning
-
MR1864085
-
CUCKER, F. and SMALE, S. (2002). On the mathematical foundations of learning. Bull. Amer. Math. Soc. (N.S.) 39 1-49. MR1864085
-
(2002)
Bull. Amer. Math. Soc. (N.S.)
, vol.39
, pp. 1-49
-
-
Cucker, F.1
Smale, S.2
-
9
-
-
0036436325
-
Best choices for regularization parameters in learning theory: On the bias-variance problem
-
MR1930945
-
CUCKER, F. and SMALE, S. (2002). Best choices for regularization parameters in learning theory: On the Bias-variance problem. Found. Comput. Math. 2 413-428. MR1930945
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 413-428
-
-
Cucker, F.1
Smale, S.2
-
13
-
-
0000145024
-
Some limit theorems for empirical processes
-
MR0757767
-
GINÉ, E. and ZINN, J. (1984). Some limit theorems for empirical processes. Ann. Probab. 12 929-989. MR0757767
-
(1984)
Ann. Probab.
, vol.12
, pp. 929-989
-
-
Giné, E.1
Zinn, J.2
-
14
-
-
34247578706
-
Subspaces and orthogonal decompositions generated by bounded orthogonal systems
-
MR2321621
-
GUEDON, O., MENDELSON, S., PAJOR, A. and TOMCZAK-JAEGERMANN, N. (2007). Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Positivity 11 269-283. MR2321621
-
(2007)
Positivity
, vol.11
, pp. 269-283
-
-
Guedon, O.1
Mendelson, S.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
15
-
-
33751093033
-
p moments of random vectors via majorizing measures
-
MR2304336
-
p moments of random vectors via majorizing measures. Adv. Math. 208 798-823. MR2304336
-
(2007)
Adv. Math
, vol.208
, pp. 798-823
-
-
Guédon, O.1
Rudelson, M.2
-
16
-
-
33746194045
-
Local rademacher complexities and oracle inequalities in risk minimization
-
MR2329442
-
KOLTCHINSKII, V. (2006). Local Rademacher complexities and oracle inequalities in risk minimization. Ann. Statist. 34 2593-2656. MR2329442
-
(2006)
Ann. Statist
, vol.34
, pp. 2593-2656
-
-
Koltchinskii, V.1
-
19
-
-
0032166052
-
The importance of convexity in learning with squared loss
-
MR1664079
-
LEE, W. S., BARLETT, P. L. andWILLIAMSON, R. C. (1996). The importance of convexity in learning with squared loss. IEEE Trans. Inform. Theory 44 1974-1980. MR1664079
-
(1996)
IEEE Trans. Inform. Theory
, vol.44
, pp. 1974-1980
-
-
Lee, W.S.1
Barlett, P.L.2
Williamson, R.C.3
-
20
-
-
0034345597
-
About the constants in Talagrand's concentration inequality for empirical processes
-
MR1782276
-
MASSART, P. (2000). About the constants in Talagrand's concentration inequality for empirical processes. Ann. Probab. 28 863-884. MR1782276
-
(2000)
Ann. Probab
, vol.28
, pp. 863-884
-
-
Massart, P.1
-
22
-
-
3142722249
-
Estimating the performance of kernel classes
-
MR2075996
-
MENDELSON, S. (2003). Estimating the performance of kernel classes. J. Mach. Learn. Res. 4 759-771. MR2075996
-
(2003)
J. Mach. Learn. Res
, vol.4
, pp. 759-771
-
-
Mendelson, S.1
-
23
-
-
38849196916
-
Reconstruction and subgaussian operators in asymptotic geometric analysis
-
MR2373017
-
MENDELSON, S., PAJOR, A. and TOMCZAK-JAEGERMANN, N. (2007). Reconstruction and subgaussian operators in asymptotic geometric analysis. Geom. Funct. Anal. 17 1248-1282. MR2373017
-
(2007)
Geom. Funct. Anal
, vol.17
, pp. 1248-1282
-
-
Mendelson, S.1
Pajor, A.2
Tomczak-Jaegermann, N.3
-
24
-
-
44649102735
-
Obtaining fast error rates in nonconvex situations
-
MR2426759
-
MENDELSON, S. (2009). Obtaining fast error rates in nonconvex situations. J. Complexity 24 380-397. MR2426759
-
(2009)
J. Complexity
, vol.24
, pp. 380-397
-
-
Mendelson, S.1
-
25
-
-
38349162232
-
On weakly bounded empirical processes
-
MR2368981
-
MENDELSON, S. (2008). On weakly bounded empirical processes. Math. Ann. 340 293-314. MR2368981
-
(2008)
Math. Ann
, vol.340
, pp. 293-314
-
-
Mendelson, S.1
-
26
-
-
0001380430
-
Remarques sur les nombres d'entropie d'un opérateur et de son transposé
-
MR0817602
-
PAJOR, A. and TOMCZAK-JAEGERMANN, N. (1985). Remarques sur les nombres d'entropie d'un opérateur et de son transposé. C. R. Acad. Sci. Paris Ser. I Math. 301 743-746. MR0817602
-
(1985)
C. R. Acad. Sci. Paris Ser. i Math
, Issue.301
, pp. 743-746
-
-
Pajor, A.1
Tomczak-Jaegermann, N.2
-
28
-
-
0033541884
-
Random vectors in the isotropic position
-
MR1694526
-
RUDELSON, M. (1999). Random vectors in the isotropic position. J. Funct. Anal. 164 60-72. MR1694526
-
(1999)
J. Funct. Anal
, vol.164
, pp. 60-72
-
-
Rudelson, M.1
-
29
-
-
34247197035
-
Fast rates for support vector machines using Gaussian kernels
-
MR2336860
-
STEINWART, I. and SCOVEL, C. (2007). Fast rates for support vector machines using Gaussian kernels. Ann. Statist. 35 575-607. MR2336860
-
(2007)
Ann. Statist
, vol.35
, pp. 575-607
-
-
Steinwart, I.1
Scovel, C.2
-
30
-
-
0037749769
-
Estimating the approximation error in learning theory
-
MR1959283
-
SMALE, S. and ZHOU, D. X. (2003). Estimating the approximation error in learning theory. Anal. Appl. 1 17-41. MR1959283
-
(2003)
Anal. Appl
, vol.1
, pp. 17-41
-
-
Smale, S.1
Zhou, D.X.2
-
31
-
-
34547455409
-
Learning theory estimates via integral operators and their approximations
-
MR2327597
-
SMALE, S. and ZHOU, D. X. (2007). Learning theory estimates via integral operators and their approximations. Constr. Approx. 26 153-172. MR2327597
-
(2007)
Constr. Approx
, vol.26
, pp. 153-172
-
-
Smale, S.1
Zhou, D.X.2
-
32
-
-
0002662601
-
Regularity of gaussian processes
-
MR0906527
-
TALAGRAND, M. (1987). Regularity of Gaussian processes. Acta Math. 159 99-149. MR0906527
-
(1987)
Acta Math
, vol.159
, pp. 99-149
-
-
Talagrand, M.1
-
33
-
-
0001957366
-
Sharper bounds for gaussian and empirical processes
-
MR1258865
-
TALAGRAND, M. (1994). Sharper bounds for Gaussian and empirical processes. Ann. Probab. 22 28-76. MR1258865
-
(1994)
Ann. Probab.
, vol.22
, pp. 28-76
-
-
Talagrand, M.1
-
35
-
-
0035441827
-
Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators
-
MR1873936
-
WILLIAMSON, R. C., SMOLA, A. J. and SCHÖLKOPF, B. (2001). Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators. IEEE Trans. Inform. Theory 47 2516-2532. MR1873936
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 2516-2532
-
-
Williamson, R.C.1
Smola, A.J.2
Schölkopf, B.3
-
36
-
-
33744772341
-
Learning rates of least-square regularized regression
-
MR2228738
-
WU, Q., YING, Y. and ZHOU, D. (2006). Learning rates of least-square regularized regression. Found. Comput. Math. 6 171-192. MR2228738
-
(2006)
Found. Comput. Math
, vol.6
, pp. 171-192
-
-
Wu, Q.1
Ying, Y.2
Zhou, D.3
-
37
-
-
0036748375
-
The covering number in learning theory
-
MR1928805
-
ZHOU, D. (2002). The covering number in learning theory. J. Complexity 18 739-767. MR1928805
-
(2002)
J. Complexity
, vol.18
, pp. 739-767
-
-
Zhou, D.1
|