메뉴 건너뛰기




Volumn 10, Issue , 2009, Pages 857-882

Stable and efficient gaussian process calculations

Author keywords

Gaussian processes; Low rank approximations; Numerical stability; Photometric red shift; Subset of regressors method

Indexed keywords

GAUSSIAN PROCESSES; LOW RANK APPROXIMATIONS; NUMERICAL STABILITY; PHOTOMETRIC RED-SHIFT; SUBSET OF REGRESSORS METHOD;

EID: 66549124160     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (79)

References (30)
  • 1
    • 66549095109 scopus 로고    scopus 로고
    • Ed Anderson, Zhaojun Bai, Christian H. Bischof, Susan Blackford, James W. Demmel, Jack J. Dongarra, Jeremy J. Du Croz, Anne Greenbaum, Sven J. Hammarling, Alan McKenney, and Danny C. Sorensen. LAPACK Users' Guide. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, third edition, 1999. ISBN 0-89871-447-8.
    • Ed Anderson, Zhaojun Bai, Christian H. Bischof, Susan Blackford, James W. Demmel, Jack J. Dongarra, Jeremy J. Du Croz, Anne Greenbaum, Sven J. Hammarling, Alan McKenney, and Danny C. Sorensen. LAPACK Users' Guide. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, third edition, 1999. ISBN 0-89871-447-8.
  • 2
    • 0003852590 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-360-9
    • Åke Björck. Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1996. ISBN 0-89871-360-9.
    • (1996) Numerical Methods for Least Squares Problems
    • Björck, A.1
  • 3
    • 66549111815 scopus 로고    scopus 로고
    • Bem Cayco, Wasin So, Miranda Braselton, Kelley Cartwright, Michael Hurley, Maheen Khan, Miguel Rodriguez, David Shao, Jason Smith, Jimmy Ying, and Genti Zaimi. Camcos project -Fall 2006: Improved linear algebra methods for redshift computation from limited spectrum data. At www.math.sjsu.edu/ ∼foster/camcos07/redshift.html, 2006.
    • Bem Cayco, Wasin So, Miranda Braselton, Kelley Cartwright, Michael Hurley, Maheen Khan, Miguel Rodriguez, David Shao, Jason Smith, Jimmy Ying, and Genti Zaimi. Camcos project -Fall 2006: Improved linear algebra methods for redshift computation from limited spectrum data. At www.math.sjsu.edu/ ∼foster/camcos07/redshift.html, 2006.
  • 4
    • 0038891993 scopus 로고    scopus 로고
    • Sparse on-line gaussian processes
    • Lehel Csato and Manfred Opper. Sparse on-line gaussian processes. Neural Computation, 14: 641-668,2002.
    • (2002) Neural Computation , vol.14 , pp. 641-668
    • Csato, L.1    Opper, M.2
  • 5
    • 0003555195 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-172-X
    • Jack J. Dongarra, James R. Bunch, Cleve B. Moler, and G. W. Stewart. LINPACK Users' Guide. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1979. ISBN 0-89871-172-X.
    • (1979) LINPACK Users' Guide
    • Dongarra, J.J.1    Bunch, J.R.2    Moler, C.B.3    Stewart, G.W.4
  • 7
    • 0041494125 scopus 로고    scopus 로고
    • Efficient svm training using low-rank kernel representations
    • Shai Fine and Katya Scheinberg. Efficient svm training using low-rank kernel representations. J. of Machine Learning Research, 2:243-264, 2001.
    • (2001) J. of Machine Learning Research , vol.2 , pp. 243-264
    • Fine, S.1    Scheinberg, K.2
  • 9
    • 66549112061 scopus 로고    scopus 로고
    • Improved linear algebra methods for redshift computation from limited spectrum data, II, NASA/TM-2008-214571, NASA Ames Research Center, Moffett Field, CA, Available at ntrs.nasa.gov and at
    • Leslie Foster, Alex Waagen, Nabeela Aijaz, Michael Hurley, Apolo Luis, Joel Rinsky, Chandrika Satyavolu, Ashok Srivastava, Paul Gazis, and Michael Way. Improved linear algebra methods for redshift computation from limited spectrum data - II. NASA Technical Report NASA/TM-2008-214571, NASA Ames Research Center, Moffett Field, CA, 2008. Available at ntrs.nasa.gov and at www.math.sjsu.edu/ ∼foster/camcos07/redshift.html.
    • (2008) NASA Technical Report
    • Foster, L.1    Waagen, A.2    Aijaz, N.3    Hurley, M.4    Luis, A.5    Rinsky, J.6    Satyavolu, C.7    Srivastava, A.8    Gazis, P.9    Way, M.10
  • 10
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore, MD, USA, third edition, ISBN 0-8018-5413-X
    • Gene H. Golub and Charles F. Van Loan. Matrix Computations. Johns Hopkins University Press, Baltimore, MD, USA, third edition, 1996. ISBN 0-8018-5413-X, 0-8018-5414-8.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 11
    • 0003216822 scopus 로고    scopus 로고
    • Efficient algorithm for computing a strong rank-revealing qr factorization
    • Ming Gu and Stanley C. Eisenstat. Efficient algorithm for computing a strong rank-revealing qr factorization. SIAMJ. Sci. Comput., 17(4):848-869, 1996.
    • (1996) SIAMJ. Sci. Comput , vol.17 , Issue.4 , pp. 848-869
    • Gu, M.1    Eisenstat, S.C.2
  • 14
    • 0003306408 scopus 로고
    • Analysis of the Cholesky decomposition of a semi-definite matrix
    • M. G. Cox and S. J. Hammarling, editors, Oxford University Press
    • Nicholas J. Higham. Analysis of the Cholesky decomposition of a semi-definite matrix. In M. G. Cox and S. J. Hammarling, editors, Reliable Numerical Computation, pages 161-185. Oxford University Press, 1990.
    • (1990) Reliable Numerical Computation , pp. 161-185
    • Higham, N.J.1
  • 15
    • 0036457301 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition, ISBN 0-89871-521-0
    • Nicholas J. Higham. Accuracy and Stability of Numerical Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition, 2002. ISBN 0-89871-521-0.
    • (2002) Accuracy and Stability of Numerical Algorithms
    • Higham, N.J.1
  • 16
    • 38049007692 scopus 로고    scopus 로고
    • LAPACK-style codes for level 2 and 3 pivoted cholesky factorizations
    • No. 442, Manchester Centre for Computational Mathematics, Manchester, England, LAPACK Working Note 161
    • Craig Lucas. LAPACK-style codes for level 2 and 3 pivoted cholesky factorizations. Numerical Analysis Report No. 442, Manchester Centre for Computational Mathematics, Manchester, England, 2004. LAPACK Working Note 161.
    • (2004) Numerical Analysis Report
    • Lucas, C.1
  • 18
    • 0014827294 scopus 로고
    • The least squares problem and pseudo-inverses
    • Gwen Peters and James H. Wilkinson. The least squares problem and pseudo-inverses. Comput. J., 13(3):309-316, 1970.
    • (1970) Comput. J , vol.13 , Issue.3 , pp. 309-316
    • Peters, G.1    Wilkinson, J.H.2
  • 19
    • 0025490985 scopus 로고
    • Networks for approximation and learning
    • Tomaso Poggio and Fedirico Girosi. Networks for approximation and learning. Proceedings of IEEE, 78:1481-1497, 1990.
    • (1990) Proceedings of IEEE , vol.78 , pp. 1481-1497
    • Poggio, T.1    Girosi, F.2
  • 20
    • 29144453489 scopus 로고    scopus 로고
    • A unifying view of sparse approximate Gaussian process regression
    • Joaquin Quinonero-Candela and Carl E. Rasmussen. A unifying view of sparse approximate Gaussian process regression. J. of Machine Learning Research, 6:1939-1959, 2005.
    • (2005) J. of Machine Learning Research , vol.6 , pp. 1939-1959
    • Quinonero-Candela, J.1    Rasmussen, C.E.2
  • 23
    • 84899000575 scopus 로고    scopus 로고
    • Sparse greedy gaussian process regression
    • T. Leen, T. Diettrich, and V. Tresp, editors, MIT Press
    • Alex J. Smola and Peter Bartlett. Sparse greedy gaussian process regression. In T. Leen, T. Diettrich, and V. Tresp, editors, Advances in Neural Information Processing Systems 13, pages 619-625. MIT Press, 2001.
    • (2001) Advances in Neural Information Processing Systems 13 , pp. 619-625
    • Smola, A.J.1    Bartlett, P.2
  • 24
    • 84864038646 scopus 로고    scopus 로고
    • Sparse gaussian process using pseudo-inputs
    • Y. Weiss, B. Scholkpf, and J. Platt, editors, MIT Press
    • Edward Snelson and Zoubin Ghahramani. Sparse gaussian process using pseudo-inputs. In Y. Weiss, B. Scholkpf, and J. Platt, editors, Advances in Neural Information Processing Systems 18, pages 1257-1264. MIT Press, 2006.
    • (2006) Advances in Neural Information Processing Systems 18 , pp. 1257-1264
    • Snelson, E.1    Ghahramani, Z.2
  • 25
    • 0000485973 scopus 로고
    • The efficient generation of random orthogonal matrices with an application to condition estimators
    • G.W. Stewart. The efficient generation of random orthogonal matrices with an application to condition estimators. SIAMJ. Numer. Anal., 17(3):403-409, 1980.
    • (1980) SIAMJ. Numer. Anal , vol.17 , Issue.3 , pp. 403-409
    • Stewart, G.W.1
  • 26
    • 0003424374 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-361-7
    • Lloyd N. Trefethen and David Bau III. Numerical Linear Algebra. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1997. ISBN 0-89871-361-7.
    • (1997) Numerical Linear Algebra
    • Trefethen, L.N.1    Bau III, D.2
  • 28
    • 0003466536 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
    • Grace Wahba. Spline Models for Observation Data. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1990.
    • (1990) Spline Models for Observation Data
    • Wahba, G.1
  • 29
    • 33748453771 scopus 로고    scopus 로고
    • Novel methods for predicting photometric redshifts from broadband data using virtual sensors
    • Michael J. Way and Ashok Srivastava. Novel methods for predicting photometric redshifts from broadband data using virtual sensors. The Astrophysical Journal, 647:102-115, 2006.
    • (2006) The Astrophysical Journal , vol.647 , pp. 102-115
    • Way, M.J.1    Srivastava, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.