SCOPUS 정보 검색 플랫폼

Journal of Complexity

Volumn 21, Issue 3, 2005, Pages 337-349

Mercer theorem for RKHS on noncompact sets

(1) Sun, Hongwei a

a UNIVERSITY OF JINAN (China)

Author keywords

Mercer kernel; Nondegenerate Borel measure; Positive semidefiniteness; Reproducing kernel Hilbert spaces

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; LEARNING SYSTEMS; MATHEMATICAL OPERATORS; THEOREM PROVING;

FUNCTIONAL ANALYSIS; KERNEL MACHINE LEARNING; MERCER THEOREM; NONDEGENERATE BOREL MEASURE; POSITIVE SEMIDEFINITENESS; REPRODUCING KERNEL HILBERT SPACE (RKHS);

COMPUTATION THEORY;

EID: 18144431335 PISSN: 0885064X EISSN: None Source Type: Journal
DOI: 10.1016/j.jco.2004.09.002 Document Type: Article

Times cited : (108)

References (13)

1
- 5844297152
- Theory of reproducing kernels
- N. Aronszajn 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
- 0036071370
- On the mathematical foundations of learning
- F. Cucker S. Smale On the mathematical foundations of learning Bull. Amer. Soc. 39 2001 1-49
- (2001) Bull. Amer. Soc. , vol.39 , pp. 1-49
- Cucker, F.¹ Smale, S.²

3
- 0036436325
- Best choices for regularization parameters in learning theory: On the bias-variance problem
- F. Cucker S. Smale Best choices for regularization parameters in learning theory on the bias-variance problem Found. Comput. Math. 2 2002 413-428
- (2002) Found. Comput. Math. , vol.2 , pp. 413-428
- Cucker, F.¹ Smale, S.²

4
- 33744770935
- Cambridge University Press, Cambridge
- F. Cucker, D.X. Zhou, Learning Theory, Cambridge University Press, Cambridge.
- Learning Theory
- Cucker, F.¹ Zhou, D.X.²

5
- 0034419669
- Regularization networks and support vector machines
- T. Evgeniou M. Pontil T. Poggio Regularization networks and support vector machines Adv. Comput. Math. 13 2000 1-50
- (2000) Adv. Comput. Math. , vol.13 , pp. 1-50
- Evgeniou, T.¹ Pontil, M.² Poggio, T.³

6
- 0004002099
- New York: Wiley
- H. Hochstadt Integral Equations 1973 Wiley New York
- (1973) Integral Equations
- Hochstadt, H.¹

7
- 0001500115
- Functions of positive and negative type and their connection with the theory of integral equations
- J. Mercer Functions of positive and negative type and their connection with the theory of integral equations Philos. Trans. Royal Soc. London 209 1909 415-446
- (1909) Philos. Trans. Royal Soc. London , vol.209 , pp. 415-446
- Mercer, J.¹

8
- 0037749769
- Estimating the approximation error in learning theory
- S. Smale D.X. Zhou Estimating the approximation error in learning theory Anal. Appl. 1 2003 17-41
- (2003) Anal. Appl. , vol.1 , pp. 17-41
- Smale, S.¹ Zhou, D.X.²

9
- 0003991806
- New York: Wiley
- V. Vapnik Statistical Learning Theory 1998 Wiley New York
- (1998) Statistical Learning Theory
- Vapnik, V.¹

10
- 0003466536
- SIAM, Philadelphia
- G. Wahba, Spline Models for Observational Data, Series in Applied Mathematics, vol. 59, SIAM, Philadelphia, 1990.
- (1990) Spline Models for Observational Data, Series in Applied Mathematics , vol.59
- Wahba, G.¹

11
- 0000249788
- An equivalence between sparse approximation and support vector machines neural computation
- F. Girosi An equivalence between sparse approximation and support vector machines neural computation Neural Comput. 10 1998 1455-1480
- (1998) Neural. Comput. , vol.10 , pp. 1455-1480
- Girosi, F.¹

12
- 0038105204
- Capacity of reproducing kernel spaces in learning theory
- D.X. Zhou Capacity of reproducing kernel spaces in learning theory IEEE Trans. Inform. Theory 49 2003 1743-1752
- (2003) IEEE Trans. Inform. Theory , vol.49 , pp. 1743-1752
- Zhou, D.X.¹

13
- 0036748375
- The covering number in learning theory
- D.X. Zhou The covering number in learning theory J. Complexity 18 2002 739-767
- (2002) J. Complexity , vol.18 , pp. 739-767
- Zhou, D.X.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.