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Volumn 9, Issue , 2008, Pages 1615-1646

Universal multi-task Kernels

Author keywords

Multi task kernels; Multi task learning; Universal approximation; Vector valued reproducing kernel Hilbert spaces

Indexed keywords

BANACH SPACES;

EID: 48849098893     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (146)

References (35)
  • 1
    • 48849115416 scopus 로고    scopus 로고
    • Reproducing kernels of vector-valued function spaces
    • A. Le Meehaute et al. Eds
    • L. Amodei. Reproducing kernels of vector-valued function spaces. In Proc. of Chamonix, A. Le Meehaute et al. Eds., pages 1-9, 1997.
    • (1997) Proc. of Chamonix , pp. 1-9
    • Amodei, L.1
  • 2
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn. Theory of reproducing kernels. Trans. Amer. Math. Soc. 68:337-404, 1950.
    • (1950) Trans. Amer. Math. Soc , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 6
    • 48849086653 scopus 로고    scopus 로고
    • Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem
    • C. Carmeli, E. De Vito, and A. Toigo. Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. Analysis and Applications, 4:377-408, 2006.
    • (2006) Analysis and Applications , vol.4 , pp. 377-408
    • Carmeli, C.1    De Vito, E.2    Toigo, A.3
  • 7
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • F. Cucker and S. Smale. On the mathematical foundations of learning. Bull. Amer. Math. Soc., 39:1-49, 2001.
    • (2001) Bull. Amer. Math. Soc , vol.39 , pp. 1-49
    • Cucker, F.1    Smale, S.2
  • 9
    • 0008548569 scopus 로고
    • On measurable positive definite operator functions
    • A. Devinatz. On measurable positive definite operator functions. J. Lonon Math. Soc., 35:417-424, 1960.
    • (1960) J. Lonon Math. Soc , vol.35 , pp. 417-424
    • Devinatz, A.1
  • 11
    • 48849086467 scopus 로고    scopus 로고
    • J. Diestel and J. J. Uhl, Jr. Vector Measures. AMS, Providence (Math Surveys 15), 1977.
    • J. Diestel and J. J. Uhl, Jr. Vector Measures. AMS, Providence (Math Surveys 15), 1977.
  • 16
    • 17444417421 scopus 로고    scopus 로고
    • A density theorem for matrix-valued radial basis functions
    • S. Lowitzsch. A density theorem for matrix-valued radial basis functions. Numerical Algorithms, 39:253-256, 2005.
    • (2005) Numerical Algorithms , vol.39 , pp. 253-256
    • Lowitzsch, S.1
  • 17
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distances matrices and conditionally positive definite functions
    • C. A. Micchelli, Interpolation of scattered data: distances matrices and conditionally positive definite functions. Constructive Approximation, 2:11-22, 1986.
    • (1986) Constructive Approximation , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 19
    • 14544299611 scopus 로고    scopus 로고
    • On leaning vector-valued functions
    • C. A. Micchelli and M. Pontil. On leaning vector-valued functions. Neural Computation, 17:177-204, 2005.
    • (2005) Neural Computation , vol.17 , pp. 177-204
    • Micchelli, C.A.1    Pontil, M.2
  • 20
    • 33847662483 scopus 로고    scopus 로고
    • Feature space perspectives for learning the kernel
    • C.A. Micchelli and M. Pontil. Feature space perspectives for learning the kernel. Machine Learning, 66:297-319, 2007.
    • (2007) Machine Learning , vol.66 , pp. 297-319
    • Micchelli, C.A.1    Pontil, M.2
  • 21
    • 48849098587 scopus 로고    scopus 로고
    • C. A. Micchelli, Y. Xu, and P. Ye. Cucker Smale learning theory in Besov spaces. NATO Science Series sub Series III Computer and System Science, 190:47-68, 2003.
    • C. A. Micchelli, Y. Xu, and P. Ye. Cucker Smale learning theory in Besov spaces. NATO Science Series sub Series III Computer and System Science, 190:47-68, 2003.
  • 24
    • 48849102845 scopus 로고    scopus 로고
    • T. Poggio, S. Mukherjee, R. Rifkin, A. Rakhlin, and A. Verri. b. In Uncertainty in Geometric Computations, J. Winkler and M. Niranjan (eds.), Kluwer, 131-141, 2002.
    • T. Poggio, S. Mukherjee, R. Rifkin, A. Rakhlin, and A. Verri. b. In Uncertainty in Geometric Computations, J. Winkler and M. Niranjan (eds.), Kluwer, 131-141, 2002.
  • 26
    • 33947215991 scopus 로고    scopus 로고
    • Learning equivariant functions with matrix valued kernels
    • M. Reisert and H. Burkhardt. Learning equivariant functions with matrix valued kernels. J. Machine Learning Research, 8:385-408, 2007.
    • (2007) J. Machine Learning Research , vol.8 , pp. 385-408
    • Reisert, M.1    Burkhardt, H.2
  • 31
    • 0010786475 scopus 로고    scopus 로고
    • On the influence of the kernel on the consistency of support vector machines
    • I. Steinwart. On the influence of the kernel on the consistency of support vector machines. J. Machine Learning Research, 2:67-93, 2001.
    • (2001) J. Machine Learning Research , vol.2 , pp. 67-93
    • Steinwart, I.1
  • 35
    • 33744769015 scopus 로고    scopus 로고
    • Density problem and approximation error in learning theory
    • Preprint
    • D. X. Zhou. Density problem and approximation error in learning theory. Preprint, 2003.
    • (2003)
    • Zhou, D.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.