메뉴 건너뛰기




Volumn 32, Issue 1, 2010, Pages 62-83

Finite element approach to clustering of multidimensional time series

Author keywords

Finite element method; Inverse problems; Regularization; Time series analysis

Indexed keywords

FINITE ELEMENT METHOD; PROBABILITY DISTRIBUTIONS; TIME SERIES ANALYSIS;

EID: 77249138268     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/080715962     Document Type: Conference Paper
Times cited : (57)

References (40)
  • 1
    • 0002805066 scopus 로고
    • Stochastic resonance in climatic change
    • A. SUTERA, R., BENZI, G. PARISI, AND A. VULPIANI, Stochastic resonance in climatic change, Tellus, 3 (1982), pp. 10-16.
    • (1982) Tellus , vol.3 , pp. 10-16
    • Sutera, A.1    Benzi, R.2    Parisi, G.3    Vulpiani, A.4
  • 2
    • 0002567630 scopus 로고
    • Stochastic aspects of climatic transitions-response to a periodic forcing
    • C. NICOLIS, Stochastic aspects of climatic transitions-response to a periodic forcing, Tellus, 34 (1982), pp. 1-9.
    • (1982) Tellus , vol.34 , pp. 1-9
    • Nicolis, C.1
  • 3
    • 0000092075 scopus 로고
    • Multiple attractors, fractal basins and long term climate dynamics
    • A. A. TSONIS AND J. B. ELSNER, Multiple attractors, fractal basins and long term climate dynamics, Beitr. Phys. Atmosph., 63 (1990), pp. 171-176.
    • (1990) Beitr. Phys. Atmosph. , vol.63 , pp. 171-176
    • Tsonis, A.A.1    Elsner, J.B.2
  • 4
    • 0033080118 scopus 로고    scopus 로고
    • A nonlinear dynamical perspective on climate prediction
    • T. N. PALMER, A nonlinear dynamical perspective on climate prediction, J. Climate, 12 (1999), pp. 575-591.
    • (1999) J. Climate , vol.12 , pp. 575-591
    • Palmer, T.N.1
  • 5
    • 0001342006 scopus 로고
    • A new approach to the economic analysis of nonstationary time series and the business cycle
    • J. D. HAMILTON, A new approach to the economic analysis of nonstationary time series and the business cycle, Econometrica, 57 (1989), pp. 357-384.
    • (1989) Econometrica , vol.57 , pp. 357-384
    • Hamilton, J.D.1
  • 7
    • 0023140044 scopus 로고
    • Multiple conformational states of proteins: A molecular dynamics analysis of Myoglobin
    • R. ELBER AND M. KARPLUS, Multiple conformational states of proteins: A molecular dynamics analysis of Myoglobin, Science, 235 (1987), pp. 318-321.
    • (1987) Science , vol.235 , pp. 318-321
    • Elber, R.1    Karplus, M.2
  • 9
    • 0000573002 scopus 로고    scopus 로고
    • A direct approach to conformational dynamics based on hybrid Monte Carlo
    • C. SCHÜTTE, A. FISCHER, W. HUISINGA, AND P. DEUFLHARD, A direct approach to conformational dynamics based on hybrid Monte Carlo, J. Comput. Phys., 151 (1999), pp. 146-168.
    • (1999) J. Comput. Phys. , vol.151 , pp. 146-168
    • Schütte, C.1    Fischer, A.2    Huisinga, W.3    Deuflhard, P.4
  • 12
    • 0023561847 scopus 로고
    • Convergence theory for fuzzy c-means: Counterexamples and repairs
    • J. C. BEZDEK, R. H. HATHAWAY, M. J. SABIN, AND W. T. TUCKER, Convergence theory for fuzzy c-means: Counterexamples and repairs, IEEE Trans. Systems, 17 (1987), pp. 873-877.
    • (1987) IEEE Trans. Systems , vol.17 , pp. 873-877
    • Bezdek, J.C.1    Hathaway, R.H.2    Sabin, M.J.3    Tucker, W.T.4
  • 13
    • 0027647031 scopus 로고
    • Switching regression models and fuzzy clustering
    • R. H. HATHAWAY AND J. C. BEZDEK, Switching regression models and fuzzy clustering, IEEE Trans. Fuzzy Systems, 1 (1993), pp. 195-204.
    • (1993) IEEE Trans. Fuzzy Systems , vol.1 , pp. 195-204
    • Hathaway, R.H.1    Bezdek, J.C.2
  • 17
    • 33750306323 scopus 로고    scopus 로고
    • Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models
    • in R. Glen, M. R. Berthold, and I. Fischer, eds., Springer-Verlag, Berlin, Heidelberg
    • I. HORENKO, J. SCHMIDT-EHRENBERG, AND C. SCHÜTTE, Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models,in R. Glen, M. R. Berthold, and I. Fischer, eds., CompLife 2006, Lecture Notes in Bioinformatics 4216, Springer-Verlag, Berlin, Heidelberg, 2006, pp. 98-115.
    • (2006) CompLife 2006, Lecture Notes in Bioinformatics , vol.4216 , pp. 98-115
    • Horenko, I.1    Schmidt-Ehrenberg, J.2    Schütte, C.3
  • 18
    • 55149085946 scopus 로고    scopus 로고
    • Automated generation of reduced stochastic weather models I: Simultaneous dimension and model reduction for time series analysis
    • I. HORENKO, R. KLEIN, S. DOLAPTCHIEV, AND C. SCHÜTTE, Automated generation of reduced stochastic weather models I: Simultaneous dimension and model reduction for time series analysis, Multiscale Model Simul., 6 (2008), pp. 1125-1145.
    • (2008) Multiscale Model Simul. , vol.6 , pp. 1125-1145
    • Horenko, I.1    Klein, R.2    Dolaptchiev, S.3    Schütte, C.4
  • 19
    • 45849084703 scopus 로고    scopus 로고
    • On simultaneous data-based dimension reduction and hidden phase identification
    • I. HORENKO, On simultaneous data-based dimension reduction and hidden phase identification, J. Atmospheric Sci., 65 (2008), pp. 1941-1954.
    • (2008) J. Atmospheric Sci. , vol.65 , pp. 1941-1954
    • Horenko, I.1
  • 20
    • 0343191447 scopus 로고    scopus 로고
    • Nonlinear principal component analysis by neural networks: Theory and application to the Lorenz system
    • A. H. MONAHAN, Nonlinear principal component analysis by neural networks: Theory and application to the Lorenz system, J. Climate, 13 (2000), pp. 821-835.
    • (2000) J. Climate , vol.13 , pp. 821-835
    • Monahan, A.H.1
  • 23
    • 33750161640 scopus 로고    scopus 로고
    • Newton methods for nonlinear problems. Affine invariance and adaptive algorithms
    • Springer-Verlag, Berlin
    • P. DEUFLHARD, Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms, Springer Ser. Comput. Math. 35, Springer-Verlag, Berlin, 2004.
    • (2004) Springer Ser. Comput. Math. , vol.35
    • Deuflhard, P.1
  • 24
    • 0000418073 scopus 로고
    • On the stability of inverse problems
    • A. TIKHONOV, On the stability of inverse problems, Dokl. Akad. Nauk SSSR, 39 (1943), pp. 195-198.
    • (1943) Dokl. Akad. Nauk SSSR , vol.39 , pp. 195-198
    • Tikhonov, A.1
  • 25
    • 0002161961 scopus 로고
    • Application of ridge analysis to regression problems
    • A. HOERL, Application of ridge analysis to regression problems, Chemical Engineering Progress, 58 (1962), pp. 54-59.
    • (1962) Chemical Engineering Progress , vol.58 , pp. 54-59
    • Hoerl, A.1
  • 28
    • 0141968029 scopus 로고
    • Polynomial solvability of convex quadratic programming
    • M. K. KOZLOV, L. G. KACHIYAN, AND S.P. TARASOV, Polynomial solvability of convex quadratic programming, Sov. Math. Dokl., 20 (1979), pp. 1108-1111.
    • (1979) Sov. Math. Dokl. , vol.20 , pp. 1108-1111
    • Kozlov, M.K.1    Kachiyan, L.G.2    Tarasov, S.P.3
  • 33
  • 34
    • 4043170560 scopus 로고    scopus 로고
    • L-curve and curvature bounds for Tikhonov regularization
    • D. CALVETTI, L. REICHEL, AND A. SHUIBI, L-curve and curvature bounds for Tikhonov regularization, Numer. Algorithms, 35 (2004), pp. 301-314.
    • (2004) Numer. Algorithms , vol.35 , pp. 301-314
    • Calvetti, D.1    Reichel, L.2    Shuibi, A.3
  • 35
    • 36849010656 scopus 로고    scopus 로고
    • Generator estimation of Markov jump processes based on incomplete observations nonequidistant in time
    • P. METZNER, I. HORENKO, AND C. SCHUETTE, Generator estimation of Markov jump processes based on incomplete observations nonequidistant in time, Phys. Rev. E, 76 (2007), 066702.
    • (2007) Phys. Rev. e , vol.76 , pp. 066702
    • Metzner, P.1    Horenko, I.2    Schuette, C.3
  • 36
    • 13544266845 scopus 로고    scopus 로고
    • Biomolecular conformations can be identified as metastable sets of molecular dynamics
    • in P. G. Ciarlet and J.-L. Lions, eds., North-Holland, Amsterdam
    • C. SCHÜTTE AND W. HUISINGA, Biomolecular conformations can be identified as metastable sets of molecular dynamics, in P. G. Ciarlet and J.-L. Lions, eds., Handbook of Numerical Analysis, Volume X, North-Holland, Amsterdam, 2003, pp. 699-744.
    • (2003) Handbook of Numerical Analysis , vol.10 , pp. 699-744
    • Schütte, C.1    Huisinga, W.2
  • 37
    • 77249138701 scopus 로고    scopus 로고
    • Perron cluster cluster analysis
    • M. WEBER AND P. DEUFLHARD, Perron cluster cluster analysis, J. Chem. Phys., 5 (2003), pp. 802-827.
    • (2003) J. Chem. Phys. , vol.5 , pp. 802-827
    • Weber, M.1    Deuflhard, P.2
  • 38
    • 84966241255 scopus 로고
    • An improved version of Marti's method for solving ill-posed linear integral equations
    • H. ENGL AND A. NEUBAUER, An improved version of Marti's method for solving ill-posed linear integral equations, Math. Comp., 45 (1985), pp. 405-416.
    • (1985) Math. Comp. , vol.45 , pp. 405-416
    • Engl, H.1    Neubauer, A.2
  • 39
    • 0034315150 scopus 로고    scopus 로고
    • Morozovs discrepancy principle for Tikhonov regularization of severely ill-posed problems in finite-dimensional subspaces
    • E. SCHOCK, Morozovs discrepancy principle for Tikhonov regularization of severely ill-posed problems in finite-dimensional subspaces, Numer. Funct. Anal. Optim., 21 (2000), pp. 901-916.
    • (2000) Numer. Funct. Anal. Optim. , vol.21 , pp. 901-916
    • Schock, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.