-
1
-
-
5844297152
-
Theory of reproducing kernels
-
Aronszajn N. Theory of reproducing kernels. Trans. Amer. Math. Soc. 68 (1950) 337-404
-
(1950)
Trans. Amer. Math. Soc.
, vol.68
, pp. 337-404
-
-
Aronszajn, N.1
-
2
-
-
33846817962
-
-
P.L. Bartlett, M.J. Jordan, J.D. McAuliffe, Convexity, classification, and risk bounds, Technical Report 638, Department of Statistics, U.C. Berkeley, 2003.
-
-
-
-
4
-
-
33846848558
-
-
N. Bissantz, T. Hohage, A, Munk, F. Ruymgaart, Convergence rates of general regularization methods for statistical inverse problems and applications, preprint, 2006.
-
-
-
-
5
-
-
33846313242
-
-
Springer, Heidelberg, Germany, Wiley-Interscience Publication
-
Bousquet O., Boucheron S., and Lugosi G. Introduction to Statistical Learning Theory, Lectures Notes in Artificial Intelligence vol. 3176 (2004), Springer, Heidelberg, Germany, Wiley-Interscience Publication 169-207
-
(2004)
Introduction to Statistical Learning Theory, Lectures Notes in Artificial Intelligence
, vol.3176
, pp. 169-207
-
-
Bousquet, O.1
Boucheron, S.2
Lugosi, G.3
-
6
-
-
33846784549
-
-
O. Bousquet, S. Boucheron, G. Lugosi, Theory of classification: a survey of recent advances, ESAIM Probab. Statist. (2004), to appear.
-
-
-
-
7
-
-
33846799960
-
-
A. Caponnetto, E. De Vito, Fast rates for regularized least-squares algorithm, Technical Report CBCL Paper 248/AI Memo 2005-033, Massachusetts Institute of Technology, Cambridge, MA, 2005.
-
-
-
-
8
-
-
33846817961
-
-
A. Caponnetto, E. De Vito, Optimal rates for regularized least-squares algorithm, Foundation Comput. Math. (2005), accepted for publication.
-
-
-
-
9
-
-
33846840101
-
-
A. Caponnetto, L. Rosasco, E. De Vito, A. Verri, Empirical effective dimensions and fast rates for regularized least-squares algorithm, Technical Report CBCL Paper 252/AI Memo 2005-019, Massachusetts Institute of Technology, Cambridge, MA, 2005.
-
-
-
-
10
-
-
33846817960
-
-
C. Carmeli, E. De Vito, A. Toigo, Reproducing kernel Hilbert spaces and mercer theorem, eprint arXiv: math/0504071. Available at 〈http://arxiv.org〉, 2005.
-
-
-
-
11
-
-
0036071370
-
On the mathematical foundations of learning
-
(electronic)
-
Cucker F., and Smale S. On the mathematical foundations of learning. Bull. Amer. Math. Soc. (N.S.) 39 1 (2002) 1-49 (electronic)
-
(2002)
Bull. Amer. Math. Soc. (N.S.)
, vol.39
, Issue.1
, pp. 1-49
-
-
Cucker, F.1
Smale, S.2
-
12
-
-
33846793848
-
-
E. De Vito, L. Rosasco, A. Caponnetto, Discretization error analysis for tikhonov regularization, Anal. Appl. (2005), to appear.
-
-
-
-
13
-
-
21844447610
-
Learning from examples as an inverse problem
-
De Vito E., Rosasco L., Caponnetto A., De Giovannini U., and Odone F. Learning from examples as an inverse problem. J. Mach. Learning Res. 6 (2005) 883-904
-
(2005)
J. Mach. Learning Res.
, vol.6
, pp. 883-904
-
-
De Vito, E.1
Rosasco, L.2
Caponnetto, A.3
De Giovannini, U.4
Odone, F.5
-
14
-
-
33846801989
-
-
R. DeVore, G. Kerkyacharian, D. Picard, V. Temlyakov, On mathematical methods of learning, Technical Report 2004:10, Industrial Mathematics Institute, Department of Mathematics University of South Carolina, retrievable at 〈http://www.math/sc/edu/imip/04papers/0410.ps〉, 2004.
-
-
-
-
15
-
-
0004019773
-
-
Springer, New York
-
Devroye L., Györfi L., and Lugosi G. A Probabilistic Theory of Pattern Recognition, Applications of Mathematics vol. 31 (1996), Springer, New York
-
(1996)
A Probabilistic Theory of Pattern Recognition, Applications of Mathematics
, vol.31
-
-
Devroye, L.1
Györfi, L.2
Lugosi, G.3
-
16
-
-
0003531188
-
-
Kluwer Academic Publishers Group, Dordrecht
-
Engl H.W., Hanke M., and Neubauer A. Regularization of Inverse Problems, Mathematics and its Applications vol. 375 (1996), Kluwer Academic Publishers Group, Dordrecht
-
(1996)
Regularization of Inverse Problems, Mathematics and its Applications
, vol.375
-
-
Engl, H.W.1
Hanke, M.2
Neubauer, A.3
-
17
-
-
0034419669
-
Regularization networks and support vector machines
-
Evgeniou T., Pontil M., and Poggio T. Regularization networks and support vector machines. Adv. Comp. Math. 13 (2000) 1-50
-
(2000)
Adv. Comp. Math.
, vol.13
, pp. 1-50
-
-
Evgeniou, T.1
Pontil, M.2
Poggio, T.3
-
18
-
-
0003624357
-
-
Springer Series in Statistics, New York
-
Györfi L., Kohler M., Krzyzak A., and Walk H. A Distribution-free Theory of Non-parametric Regression (1996), Springer Series in Statistics, New York
-
(1996)
A Distribution-free Theory of Non-parametric Regression
-
-
Györfi, L.1
Kohler, M.2
Krzyzak, A.3
Walk, H.4
-
19
-
-
33846784548
-
-
F. Hansen, Operator inequalities associated to Jensen's inequality, survey of "Classical Inequalities", pp. 67-i98.
-
-
-
-
20
-
-
0036697653
-
Moduli of continuity for operator monotone functions
-
Mathé P., and Pereverzev S. Moduli of continuity for operator monotone functions. Numer. Funct. Anal. Optim. 23 (2002) 623-631
-
(2002)
Numer. Funct. Anal. Optim.
, vol.23
, pp. 623-631
-
-
Mathé, P.1
Pereverzev, S.2
-
21
-
-
0038339461
-
Geometry of linear ill-posed problems in variable Hilbert scale
-
Mathé P., and Pereverzev S. Geometry of linear ill-posed problems in variable Hilbert scale. Inverse Problems 19 (2003) 789-803
-
(2003)
Inverse Problems
, vol.19
, pp. 789-803
-
-
Mathé, P.1
Pereverzev, S.2
-
22
-
-
33846838126
-
-
P. Mathé, S. Pereverzev, Regularization of some linear ill-posed problems with discretized random noisy data, Math. Comput. (2005), accepted for publication.
-
-
-
-
23
-
-
0000631438
-
Remarks on inequalities for probabilities of large deviations
-
Pinelis I.F., and Sakhanenko A.I. Remarks on inequalities for probabilities of large deviations. Theory Probab. Appl. 30 1 (1985) 143-148
-
(1985)
Theory Probab. Appl.
, vol.30
, Issue.1
, pp. 143-148
-
-
Pinelis, I.F.1
Sakhanenko, A.I.2
-
24
-
-
33846821062
-
-
L. Rosasco, E. De Vito, A. Verri, Spectral methods for regularization in learning theory, Technical Report DISI-TR-05-18, DISI, Universitá degli Studi di Genova, Italy, retrievable at 〈http://www.disi.unige.it/person/RosascoL〉, 2005.
-
-
-
-
26
-
-
51649141644
-
Sous-espaces hilbertiens d'espaces vectoriels topologiques et noyaux associés (noyaux reproduisants)
-
Schwartz L. Sous-espaces hilbertiens d'espaces vectoriels topologiques et noyaux associés (noyaux reproduisants). J. Analyse Math. 13 (1964) 115-256
-
(1964)
J. Analyse Math.
, vol.13
, pp. 115-256
-
-
Schwartz, L.1
-
27
-
-
33846786067
-
-
S. Smale, D. Zhou, Learning theory estimates via integral operators and their approximations, submitted for publication, retrievable at 〈http://www.tti-c.org/smale.html〉, 2005.
-
-
-
-
28
-
-
33846830523
-
-
S. Smale, D. Zhou, Shannon sampling ii: connections to learning theory, retrievable at 〈http://www.tti-c.org/smale.html〉, 2005, to appear.
-
-
-
-
29
-
-
3142725508
-
Optimal aggregation of classifiers in statistical learning
-
Tsybakov A.B. Optimal aggregation of classifiers in statistical learning. Ann. Statist. 32 (2004) 135-166
-
(2004)
Ann. Statist.
, vol.32
, pp. 135-166
-
-
Tsybakov, A.B.1
-
31
-
-
0003679019
-
-
Springer, New York
-
van de Vaart S.W., and Wellner J.A. Weak Convergence and Empirical Process Theory, Springer Series in Statistics, New York, 1996 (1996), Springer, New York
-
(1996)
Weak Convergence and Empirical Process Theory, Springer Series in Statistics, New York, 1996
-
-
van de Vaart, S.W.1
Wellner, J.A.2
-
32
-
-
0003991806
-
-
a Wiley-Interscience Publication
-
Vapnik V.N. Statistical learning theory, Adaptive and Learning Systems for Signal Processing, Communications, and Control, Wiley, New York (1998), a Wiley-Interscience Publication
-
(1998)
Statistical learning theory, Adaptive and Learning Systems for Signal Processing, Communications, and Control, Wiley, New York
-
-
Vapnik, V.N.1
-
33
-
-
33846827885
-
-
Y. Yao, L. Rosasco, A. Caponnetto, On early stopping in gradient descent learning, Constructive Approximation (2005), submitted for publication.
-
-
-
|