An alternative solution to the model structure selection problem

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 31, Issue 6, 2001, Pages 597-608

  Mendes, Eduardo M A M ^a   Billings, Steve A ^b  

^a DCNAT   (Brazil)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; REGRESSION ANALYSIS;

ALTERNATIVE SOLUTION; MODEL STRUCTURE SELECTION PROBLEM; ORTHOGONAL ESTIMATOR;

CYBERNETICS;

EID: 0035521185     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.983416     Document Type: Article

References (68)

1. The analysis and selection of variables in linear regression
2. Selection of variables for fitting equations to data
3. Prediction of chaotic time series with neural networks and the issue of dynamic modeling
4. The best subset in multiple regression analysis
5. Efficient calculation of all possible regressions
6. Regression by leaps and bounds
7. A fast model selection procedure for large families of model
8. An algorithm related to all possible regression and discriminant analysis
9. Selection of variables in linear regression using the sum of weighted absolute errors criterion
10. Developments in linear regression methodology: 1959-1982 (with discussion)
11. Multiple regression analysis
12. Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator
13. Input-output parametric models for nonlinear systems-Part I: Deterministic nonlinear systems
14. Identification of nonlinear systems using parameter estimation techniques
15. Nonlinear systems, stability and rationality
16. Identification of linear and nonlinear models of a turbocharged automotive diesel engine
17. Representations of nonlinear systems: The NARMAX model
18. Identification of nonlinear output-affine systems using an orthogonal least-squares algorithm
19. Least squares parameter estimation algorithms for nonlinear systems
20. Recursive algorithms for computing the frequency response of a class of nonlinear difference equation models
21. Improved structure selection for nonlinear models based on term clustering
22. On identifying global nonlinear discrete models from chaotic data
23. Correlation based model validity tests for nonlinear models
24. Model validity tests for nonlinear signal processing applications
25. Nonlinear model validation using correlation tests
26. Dynamical effects of overparameterization in nonlinear models
27. Chua's circuit: An overview ten years later
28. Discretizing a nonlinear analytic system: Consequences on the model structure problem
29. Extraction of dynamical equations from chaotic data
30. Deterministic nonperiodic flow
31. An equation for continuous chaos
32. Reconstructing the dynamics of Chua's circuit
33. On overparameterization of global nonlinear discrete models
34. Detecting strange attractors in fluid turbulance
35. Topological dimension and local coordinates for time series data
36. Local false nearest neighbors and dynamical dimensions from observer chaotic data
37. Time series and dependent variables
38. Random phenomena resulting from nonlinearity in the system described by Duffing's equation
39. A nonlinear oscillator with a strange attractor
40. Discrete reconstruction of strange attractors in Chua's circuit
41. Don't bleach chaotic data
42. State space reconstruction in the presence of noise
43. Orthogonal identification of nonlinear difference equation models
44. Fast orthogonal identification of nonlinear difference equation and functional expansion models
45. Orthogonal parameter estimation algorithm for nonlinear stochastic systems
46. Application of a general multi-model approach for identification of a highly nonlinear system-a case study
47. Selection of the best subset in regression analysis
48. Cross-validatory choice and assessment of statistical predictions
49. Modeling of dynamic systems
50. A new look at the statistical model identification
51. The determination of the order of an autoregression
52. Estimating the dimension of a model
53. Stochastic complexity and modeling
54. On entropy maximization principle
55. Modeling by shortest data description
56. An asymptotic equivalence of choice of model by cross-validation and akaike's criterion
57. p
58. Mean square error of prediction as a criterion for selection variables
59. Equations of motion from a data series
60. Methods for determining the order of an autoregressive-moving average process: A survey
61. On predictive least squares principles
62. Two algorithms for model structure determination of nonlinear dynamic systems with applications to industrial process
63. Parsimonious dynamical reconstruction