Function Approximation; Tesselations and Dynamical Systems (Alistair I. Mees); Supervised Learning: A Theoretical Framework (Sara A. Solla); Prediction of Chaotic Time Series Using CNLS-Net-Example: The Mackey-Glass Equation (W. C. Mead, R. D. Jone, Y. C. Lee, C. W. Barnes, G. W. Flake, L. A. Lee, and M. K. ORourke); Forecasting with Weighted Maps (L. Stokbro and D. K. Umberger); Multivariate Function and Operator Estimation, Based on Smoothing Splines and Reproducing Kernels (Grace Wahba); Statistics; Optimal Estimation of Fractal Dimension (Richard L. Smith); Diagnostic Testing for Nonlinearity, Chaos, and General Dependence in Time-Series Data (W. A. Brock and S. M. Potter); Using Surrogate Data to Detect Nonlinearity in Time Series (James Theiler, Bryan Galdrikian, Andre Longtin, Stephen Eubank, and J. Doyne Farmer); Experiments in Modeling Nonlinear Relationships Between Time Series (Clive W.J. Granger and Timo Terasvirta); Analysis of Nonlinear Time Series (and Chaos) by Bispectral Methods (T. Subba Rao); Dynamical Systems; Local and Global Lyapunov Exponents on a Strange Attractor (Henry D. I. Abarbanel); Local Forecasting of High-Dimensional Chaotic Dynamics (Thomas P. Meyer and Norman H. Packard); A Dynamical Systems Approach to Modeling Input-Output Systems (Martin Casdagli); Identification and Filtering of Nonlinear Systems Using Canonical Variate Analysis (Wallace E. Larimore); Forecasting Probabilities with Neural Networks (Aviv Bergman, Peter Grassberger, and Thomas P. Meyer); Semantics and Thermodynamics (James P. Crutchfield); Use of Recurrence Plots in the Analysis of Time-Series Data (Matthew Koebbe and Gottfried Mayer-Kress); Application; Nonlinear Forecasts for the S&P Stock Index (Blake LeBaron); Predicting Sunspots and Exchange Rates with Connectionist Networks (Andreas S. Weigend, Bernardo A. Huberman, and David E. Rumelhart); Nonlinear Prediction of Speech Signals (Brent Townsend); Application of Nonlinear Prediction to Signal Separation (William W. Taylor); Application of Nonlinear Time-Series Models to Driven Systems (Norman F. Hunter Jr.); Periodic Saddle Orbits in Experimental Strange Attractors (Daniel P. Lathrop and Eric J. Kostelich); Memory-Based Approaches to Approximating C.