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Volumn 33, Issue 9, 2002, Pages 737-750

Identification of non-linear time series via kernels

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FORECASTING; FUNCTION EVALUATION; LINEARIZATION; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; REGRESSION ANALYSIS; STATE SPACE METHODS; TIME SERIES ANALYSIS;

EID: 0037063251     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720210147070     Document Type: Article
Times cited : (9)

References (36)
  • 1
    • 0001576305 scopus 로고
    • Local false nearest neighbours and dynamical dimensions from observed chaotic data
    • Abarbanel, H. D., and Kennel, M. B., 1993, Local false nearest neighbours and dynamical dimensions from observed chaotic data. Physical Review E, 47, 3057-3068.
    • (1993) Physical Review E , vol.47 , pp. 3057-3068
    • Abarbanel, H.D.1    Kennel, M.B.2
  • 2
    • 0019610283 scopus 로고
    • Generic observability of differentiable systems
    • Aeyels, D., 1981, Generic observability of differentiable systems. SIAM Journal on Control and Optimization, 19, 595-603.
    • (1981) SIAM Journal on Control and Optimization , vol.19 , pp. 595-603
    • Aeyels, D.1
  • 3
    • 0001176372 scopus 로고
    • Linear inverse problems with discrete data. I: General formulation and singular system analysis
    • Bertero, M., De Mol, C., and Pike, E., 1985, Linear inverse problems with discrete data. I: General formulation and singular system analysis. Inverse Problems, 1, 301-330.
    • (1985) Inverse Problems , vol.1 , pp. 301-330
    • Bertero, M.1    De Mol, C.2    Pike, E.3
  • 4
    • 34249988665 scopus 로고
    • Extracting qualitative dynamics from experimental data
    • Broomhead, D., and King, G. P., 1986, Extracting qualitative dynamics from experimental data. Physica D, 20, 217-236.
    • (1986) Physica D , vol.20 , pp. 217-236
    • Broomhead, D.1    King, G.P.2
  • 5
    • 44949273552 scopus 로고
    • State space reconstruction in the presence of noise
    • Casdagli, M., Eubank, S., Farmer, J. D., and Gibson, J., 1991, State space reconstruction in the presence of noise. Physica D, 51, 52-98.
    • (1991) Physica D , vol.51 , pp. 52-98
    • Casdagli, M.1    Eubank, S.2    Farmer, J.D.3    Gibson, J.4
  • 6
    • 0003043646 scopus 로고
    • Exploring the continuum between deterministic and stochastic modeling
    • In A. Weigend and N. Gershenfeld (eds); (Reading: Addison-Wesley)
    • Casdagli, M. C., and Weigend, A. S., 1993, Exploring the continuum between deterministic and stochastic modeling. In A. Weigend and N. Gershenfeld (eds), Time Series Prediction: Forecasting the Future and Understanding the Past (Reading: Addison-Wesley), pp. 347-369.
    • (1993) Time Series Prediction: Forecasting the Future and Understanding the Past , pp. 347-369
    • Casdagli, M.C.1    Weigend, A.S.2
  • 7
    • 84954943722 scopus 로고
    • Neural networks for nonlinear dynamic system modeling and identification
    • Chen, S., and Billings, S., 1992, Neural networks for nonlinear dynamic system modeling and identification. International Journal of Control, 56, 319-346.
    • (1992) International Journal of Control , vol.56 , pp. 319-346
    • Chen, S.1    Billings, S.2
  • 9
  • 10
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • Fraser, A. M., and Swinney, H. L., 1986, Independent coordinates for strange attractors from mutual information. Physical Review A, 33, 1134-1140.
    • (1986) Physical Review A , vol.33 , pp. 1134-1140
    • Fraser, A.M.1    Swinney, H.L.2
  • 11
    • 0003424741 scopus 로고    scopus 로고
    • Bayesian Gaussian processes for regression and classification
    • PhD thesis, University of Cambridge
    • Gibbs, M. N., 1997, Bayesian Gaussian processes for regression and classification. PhD thesis, University of Cambridge.
    • (1997)
    • Gibbs, M.N.1
  • 14
    • 0015125548 scopus 로고
    • RKHS approach to detection and estimation problems - Part I: Deterministic signals in Gaussian noise
    • Kailath, T., 1971, RKHS approach to detection and estimation problems - Part I: Deterministic signals in Gaussian noise. IEEE Transactions on Information Theory IT, 17, 530-549.
    • (1971) IEEE Transactions on Information Theory IT , vol.17 , pp. 530-549
    • Kailath, T.1
  • 15
    • 0000383132 scopus 로고
    • Mathematical description of linear dynamical systems
    • Kalman, R. E., 1963, Mathematical description of linear dynamical systems. SIAM Journal on Control Series A, 1, 152-192.
    • (1963) SIAM Journal on Control Series A , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 17
    • 0022011031 scopus 로고
    • Input-output parametric models for non-linear systems part I: Deterministic non-linear systems
    • Leontaritis, I., and Billings, S., 1985a, Input-output parametric models for non-linear systems part I: Deterministic non-linear systems. International Journal of Control, 41, 303-328.
    • (1985) International Journal of Control , vol.41 , pp. 303-328
    • Leontaritis, I.1    Billings, S.2
  • 18
    • 0022011215 scopus 로고
    • Input-output parametric models for non-linear systems part II: Stochastic non-linear systems
    • Leontaritis, I., and Billings, S., 1985b, Input-output parametric models for non-linear systems part II: Stochastic non-linear systems. International Journal of Control, 41, 329-344.
    • (1985) International Journal of Control , vol.41 , pp. 329-344
    • Leontaritis, I.1    Billings, S.2
  • 19
    • 0002941010 scopus 로고    scopus 로고
    • Support vector machines for dynamic reconstruction of a chaotic system
    • Im B. Schölkopf, C. J. Burges and A. J. Smola (eds); (Cambridge, MA: MIT Press)
    • Mattera, D., and Haykin, S., 1999, Support vector machines for dynamic reconstruction of a chaotic system. In B. Schölkopf, C. J. Burges and A. J. Smola (eds), Advances in Kernel Methods: Support Vector Learning (Cambridge, MA: MIT Press), pp. 211-241.
    • (1999) Advances in Kernel Methods: Support Vector Learning , pp. 211-241
    • Mattera, D.1    Haykin, S.2
  • 21
    • 0001413362 scopus 로고
    • Identifying and quantifying chaos by using information-theoretic functionals
    • In A. Weigend and N. Gershenfeld (eds); (Reading: Addison-Wesley)
    • Palus, M., 1993, Identifying and quantifying chaos by using information-theoretic functionals. In A. Weigend and N. Gershenfeld (eds), Time Series Prediction: Forecasting the Future and Understanding the Past, (Reading: Addison-Wesley), pp. 387-413.
    • (1993) Time Series Prediction: Forecasting the Future and Understanding the Past , pp. 387-413
    • Palus, M.1
  • 22
    • 0000461110 scopus 로고
    • An approach to time series analysis
    • Parzen, E., 1961, An approach to time series analysis. Annals of Mathematical Statistics, 32, 951-989.
    • (1961) Annals of Mathematical Statistics , vol.32 , pp. 951-989
    • Parzen, E.1
  • 25
    • 84986817195 scopus 로고
    • State-dependent models: A general approach to non-linear time series analysis
    • Priestley, M. B., 1980, State-dependent models: A general approach to non-linear time series analysis. Journal of Time Series Analysis, 1, 47-71.
    • (1980) Journal of Time Series Analysis , vol.1 , pp. 47-71
    • Priestley, M.B.1
  • 26
    • 0000497094 scopus 로고
    • Time series prediction by using delay coordinate embedding
    • In A. Weigend and N. Gershenfeld (eds); (Reading: Addison-Wesley)
    • Sauer, T., 1993, Time series prediction by using delay coordinate embedding. In A. Weigend and N. Gershenfeld (eds), Time Series Prediction: Forecasting the Future and Understanding the Past (Reading: Addison-Wesley), pp. 175-193.
    • (1993) Time Series Prediction: Forecasting the Future and Understanding the Past , pp. 175-193
    • Sauer, T.1
  • 28
    • 0004094721 scopus 로고    scopus 로고
    • Learning with kernels
    • PhD thesis, Informatik der Technischen Universitat Berlin
    • Smola, A. J., 1998, Learning with kernels. PhD thesis, Informatik der Technischen Universitat Berlin.
    • (1998)
    • Smola, A.J.1
  • 30
    • 0032821057 scopus 로고    scopus 로고
    • RKHS-based functional analysis for exact incremental learning
    • Vijayakumar. S., and Ogawa, H., 1999, RKHS-based functional analysis for exact incremental learning. Neurocomputing, 29, 85-113.
    • (1999) Neurocomputing , vol.29 , pp. 85-113
    • Vijayakumar, S.1    Ogawa, H.2
  • 32
    • 0000358422 scopus 로고
    • Time series prediction using a connectionist network with internal delay lines
    • In A. Weigend and N. Gershenfeld (eds); (Reading: Addison-Wesley)
    • Wan, E., 1993, Time series prediction using a connectionist network with internal delay lines. In A. Weigend and N. Gershenfeld (eds), Times Series Prediction: Forecasting the Future and Understanding the Past. (Reading: Addison-Wesley), pp. 195-217.
    • (1993) Times Series Prediction: Forecasting the Future and Understanding the Past , pp. 195-217
    • Wan, E.1
  • 33
    • 4243381633 scopus 로고
    • Time series analysis and prediction
    • Technical Report, Department of Computer Science and Institute of Cognitive Science, University of Colorado
    • Weigend, A. S., 1994, Time series analysis and prediction. Technical Report, Department of Computer Science and Institute of Cognitive Science, University of Colorado.
    • (1994)
    • Weigend, A.S.1
  • 35
    • 0003017575 scopus 로고    scopus 로고
    • Prediction with Gaussian processes: From linear regression to linear prediction and beyond
    • In M. Jordan (ed.); (Cambridge, MA: The MIT Press)
    • Williams C., 1999, Prediction with Gaussian processes: from linear regression to linear prediction and beyond. In M. Jordan (ed.), Learning in Graphical Models. (Cambridge, MA: The MIT Press), pp. 599-621.
    • (1999) Learning in Graphical Models , pp. 599-621
    • Williams, C.1
  • 36
    • 0000246757 scopus 로고
    • Time variable and state dependent modelling of non-stationary and nonlinear time series
    • In T. S. Rao (ed.); (London: Chapman & Hall)
    • Young, P., 1993, Time variable and state dependent modelling of non-stationary and nonlinear time series. In T. S. Rao (ed.), Developments in Time Series Analysis. (London: Chapman & Hall), pp. 374-413.
    • (1993) Developments in Time Series Analysis , pp. 374-413
    • Young, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.