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Volumn 194, Issue 3-4, 2004, Pages 283-296

Optimal embedding parameters: A modelling paradigm

Author keywords

Embedding dimension; Lag; Minimum description length; Window

Indexed keywords

ALGORITHMS; CHAOS THEORY; FLUID DYNAMICS; MATHEMATICAL MODELS; PROBLEM SOLVING; TIME SERIES ANALYSIS;

EID: 2942618690     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.03.006     Document Type: Article
Times cited : (92)

References (25)
  • 1
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Takens F., Detecting strange attractors in turbulence. Lecture Notes in Mathematics. 898:1981;366-381.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 4
    • 0000497870 scopus 로고    scopus 로고
    • Embedding as a modelling problem
    • Judd K., Mees A., Embedding as a modelling problem. Physica D. 120:1998;273-286.
    • (1998) Physica D , vol.120 , pp. 273-286
    • Judd, K.1    Mees, A.2
  • 5
    • 0007287463 scopus 로고    scopus 로고
    • Delay time window and plateau onset of the correlation dimension for small data sets
    • Kim H.S., Eykholt R., Salas J.D., Delay time window and plateau onset of the correlation dimension for small data sets. Phys. Rev. E. 58:1998;5676-5682.
    • (1998) Phys. Rev. E , vol.58 , pp. 5676-5682
    • Kim, H.S.1    Eykholt, R.2    Salas, J.D.3
  • 6
    • 0000822478 scopus 로고
    • Plateau onset for correlation dimension: When does it occur?
    • Ding M., Grebogi C., Ott E., Sauer T., Yorke J.A., Plateau onset for correlation dimension: when does it occur? Phys. Rev. Lett. 70:1993;3872-3875.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3872-3875
    • Ding, M.1    Grebogi, C.2    Ott, E.3    Sauer, T.4    Yorke, J.A.5
  • 7
    • 35949006791 scopus 로고
    • Determining embedding dimension for phase-space reconstruction using a geometric construction
    • Kennel M.B., Brown R., Abarbanel H.D.I., Determining embedding dimension for phase-space reconstruction using a geometric construction. Phys. Rev. A. 45:1992;3403-3411.
    • (1992) Phys. Rev. A , vol.45 , pp. 3403-3411
    • Kennel, M.B.1    Brown, R.2    Abarbanel, H.D.I.3
  • 8
    • 0002587376 scopus 로고    scopus 로고
    • Effective scaling regime for computing the correlation dimension from chaotic time series
    • Lai Y.-C., Lerner D., Effective scaling regime for computing the correlation dimension from chaotic time series. Physica D. 115:1998;1-18.
    • (1998) Physica D , vol.115 , pp. 1-18
    • Lai, Y.-C.1    Lerner, D.2
  • 10
    • 41349101486 scopus 로고    scopus 로고
    • Minimum description length neural networks for time series prediction
    • M. Small, C.K. Tse, Minimum description length neural networks for time series prediction, Phys. Rev. E 66 (2002) 066706 (Reprinted in Virtual Journal of Biological Physics Research 4 (2002)).
    • (2002) Phys. Rev. E , vol.66 , pp. 066706
    • Small, M.1    Tse, C.K.2
  • 11
    • 41349101486 scopus 로고    scopus 로고
    • Reprinted in
    • M. Small, C.K. Tse, Minimum description length neural networks for time series prediction, Phys. Rev. E 66 (2002) 066706 (Reprinted in Virtual Journal of Biological Physics Research 4 (2002)).
    • (2002) Virtual Journal of Biological Physics Research , vol.4
  • 12
    • 0001025418 scopus 로고
    • Bayesian interpolation
    • MacKay D.J.C., Bayesian interpolation. Neural Comp. 4:1992;415-447.
    • (1992) Neural Comp. , vol.4 , pp. 415-447
    • Mackay, D.J.C.1
  • 14
    • 0001263962 scopus 로고
    • On selecting models for nonlinear time series
    • Judd K., Mees A., On selecting models for nonlinear time series. Physica D. 82:1995;426-444.
    • (1995) Physica D , vol.82 , pp. 426-444
    • Judd, K.1    Mees, A.2
  • 15
    • 0000611452 scopus 로고
    • Dynamical systems and tesselations: Detecting determinism in data
    • Mees A.I., Dynamical systems and tesselations: detecting determinism in data. Int. J. Bifurcat. Chaos. 1:1991;777-794.
    • (1991) Int. J. Bifurcat. Chaos , vol.1 , pp. 777-794
    • Mees, A.I.1
  • 16
    • 0000810560 scopus 로고    scopus 로고
    • Practical implementation of nonlinear time series methods: The TISEAN package
    • Hegger R., Kantz H., Schreiber T., Practical implementation of nonlinear time series methods: the TISEAN package. Chaos. 9:1999;413-435.
    • (1999) Chaos , vol.9 , pp. 413-435
    • Hegger, R.1    Kantz, H.2    Schreiber, T.3
  • 17
    • 0035968844 scopus 로고    scopus 로고
    • A surrogate test for pseudo-periodic time series data
    • Small M., Yu D., Harrison R.G., A surrogate test for pseudo-periodic time series data. Phys. Rev. Lett. 87:2001;188101.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 188101
    • Small, M.1    Yu, D.2    Harrison, R.G.3
  • 19
    • 0001238862 scopus 로고    scopus 로고
    • Efficient implementation of the Gaussian kernel algorithm in estimating invariants and noise level from noisy time series data
    • Yu D., Small M., Harrison R.G., Diks C., Efficient implementation of the Gaussian kernel algorithm in estimating invariants and noise level from noisy time series data. Phys. Rev. E. 61:2000;3750-3756.
    • (2000) Phys. Rev. E , vol.61 , pp. 3750-3756
    • Yu, D.1    Small, M.2    Harrison, R.G.3    Diks, C.4
  • 23
    • 0000358422 scopus 로고
    • Time series prediction by using a connectionist network with internal delay lines
    • A.S Weigend, N.A. Gershenfeld (Eds.), Time Series Prediction: Forecasting the Future and Understanding the Past, Santa Fe Institute/Addison-Wesley, Reading, MA
    • E.A. Wan, Time series prediction by using a connectionist network with internal delay lines, in: A.S Weigend, N.A. Gershenfeld (Eds.), Time Series Prediction: Forecasting the Future and Understanding the Past, vol. XV of Studies in the Sciences of Complexity, Santa Fe Institute/Addison-Wesley, Reading, MA, 1993, pp. 195-217.
    • (1993) Studies in the Sciences of Complexity , vol.15 , pp. 195-217
    • Wan, E.A.1
  • 24
    • 0000497094 scopus 로고
    • Time series prediction by using delay coordinate embedding
    • A.S Weigend, N.A. Gershenfeld (Eds.), Time Series Prediction: Forecasting the Future and Understanding the Past, Santa Fe Institute/Addison-Wesley, Reading, MA
    • T. Sauer, Time series prediction by using delay coordinate embedding, in: A.S Weigend, N.A. Gershenfeld (Eds.), Time Series Prediction: Forecasting the Future and Understanding the Past, vol. XV of Studies in the Sciences of Complexity, Santa Fe Institute/Addison-Wesley, Reading, MA, 1993, pp. 175-193.
    • (1993) Studies in the Sciences of Complexity , vol.15 , pp. 175-193
    • Sauer, T.1
  • 25
    • 0001874436 scopus 로고    scopus 로고
    • Practical method for determining the minimum embedding dimension of a scalar time series
    • Cao L., Practical method for determining the minimum embedding dimension of a scalar time series. Physica D. 120:1997;43-50.
    • (1997) Physica D , vol.120 , pp. 43-50
    • Cao, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.