Towards long-term prediction

[1]  Andrew R. Barron,et al.  Universal approximation bounds for superpositions of a sigmoidal function , 1993, IEEE Trans. Inf. Theory.

[2]  J. Doyne Farmer,et al.  Exploiting Chaos to Predict the Future and Reduce Noise , 1989 .

[3]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[4]  Leonard A. Smith Local optimal prediction: exploiting strangeness and the variation of sensitivity to initial condition , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[5]  David E. Rumelhart,et al.  Predicting the Future: a Connectionist Approach , 1990, Int. J. Neural Syst..

[6]  B. Silverman,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[7]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[8]  Roy,et al.  Nonlinear-time-series analysis of chaotic laser dynamics. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[9]  Kazuyuki Aihara,et al.  Estimating Correlation Dimensions of Biological Time Series with a Reliable Method , 1997, J. Intell. Fuzzy Syst..

[10]  Jiménez,et al.  Forecasting on chaotic time series: A local optimal linear-reconstruction method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[11]  Jorma Rissanen,et al.  Stochastic Complexity in Statistical Inquiry , 1989, World Scientific Series in Computer Science.

[12]  Kevin Judd,et al.  Modeling chaotic motions of a string from experimental data , 1996 .

[13]  J. A. Leonard,et al.  Radial basis function networks for classifying process faults , 1991, IEEE Control Systems.

[14]  N. Rulkov,et al.  MUTUAL SYNCHRONIZATION OF CHAOTIC SELF-OSCILLATORS WITH DISSIPATIVE COUPLING , 1992 .

[15]  Ron Kohavi,et al.  A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection , 1995, IJCAI.

[16]  Mees,et al.  Estimation of Lyapunov exponents of dynamical systems using a spatial average. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  A. Mees,et al.  On selecting models for nonlinear time series , 1995 .

[18]  M. Small,et al.  Variable Prediction Steps and Longer Term Prediction , 1999 .

[19]  V. Haggan,et al.  ON THE SELECTION OF SUBSET AUTOREGRESSIVE TIME SERIES MODELS , 1984 .

[20]  Henry D. I. Abarbanel,et al.  Local Lyapunov exponents computed from observed data , 1992 .

[21]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[22]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[23]  David E. Rumelhart,et al.  BACK-PROPAGATION, WEIGHT-ELIMINATION AND TIME SERIES PREDICTION , 1991 .

[24]  Martin Casdagli,et al.  Nonlinear prediction of chaotic time series , 1989 .

[25]  Nicholas B. Tufillaro,et al.  Torus doubling and chaotic string vibrations: Experimental results , 1990 .

[26]  M. Rosenstein,et al.  A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .

[27]  M Small,et al.  Is breathing in infants chaotic? Dimension estimates for respiratory patterns during quiet sleep. , 1999, Journal of applied physiology.

[28]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[29]  Leonard A. Smith Identification and prediction of low dimensional dynamics , 1992 .