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An Extension to Kolmogorov Theorem and Functional Link Network.

An Extension to Kolmogorov Theorem and Functional Link Network. Hirota Laboratory. Dr. Lopez Gomez Angel ( 現在メキシコ自治大学ＵＮＡＭ助手 ) . Kolmogorov Theorem. Algorithmic Implementation of the Kolmogorov Theorem.

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An Extension to Kolmogorov Theorem and Functional Link Network.

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  1. An Extension to Kolmogorov Theorem and Functional Link Network. Hirota Laboratory Dr. Lopez Gomez Angel (現在メキシコ自治大学ＵＮＡＭ助手)

  2. Kolmogorov Theorem Algorithmic Implementation of the Kolmogorov Theorem. represents an arbitrary continuous given function of n number of variables, and each one belongs to the unitinterval [0,1]. is a real continuous function; its construction is pointwise and dependent of The functions are monotonic, strictly increasing, and independent of . The constants are linearly independent over the rational numbers

  3. Kolmogorov Theorem Algorithmic Implementation of the Kolmogorov Theorem.

  4. - Extended Kolmogorov Theorem - Extension of the Kolmogorov Theorem. - Kolmogorov Theorem - Fuzzification

  5. Kolmogorov Theorem Definition of concepts in fuzzy topological spaces Prove the continuity of and with respect Hausdorff metric Prove the extended Kolmogorov theorem by mathematical induction Extended Kolmogorov Theorem Extension of the Kolmogorov Theorem. [Lopez Gomez (2001)]

  6. Mappings among singletons Kolmogorov Theorem Extended Kolmogorov Theorem Mappings among fuzzy sets Extension of the Kolmogorov Theorem. Representation Space of Arbitrary Continuous Functions Performance Improvements of System Modeling and Prediction Systems

  7. Extension of the Kolmogorov Theorem. Simulation of the projection over the functions

  8. Extension of the Kolmogorov Theorem. Simulation of the projection over the function 1 0.8 0.6 0.4 0.2

  9. Fuzzification of the Functional Link Network. Functional Link Networks are single-layerneural networks that are able to handle linearly nonseparable taskusing the appropriately enhanced input representation. The principal restriction in the set of functions to transform the input in the networks is that these must be a subset of orthonormal basis functions. Examples of functional link successfully applied in diverse problems are: The idea of the functional link is very close to that of series expansion. It is clear that the functional link can implement truncated series.

  10. Fuzzy Functional Link Network. [Lopez Gomez (2002)] - Architecture of the Fuzzy Functional Link Network -

  11. Functional Link Network Description of the fuzzy vector space to consider Prove that this fuzzy basis is fuzzy linearly independent Prove that a orthogonal basis is also a fuzzy basis Fuzzy Functional Link Network Fuzzy Functional Link Network. [Lopez Gomez (2002)]

  12. Extended Kolmogorov Theorem Kolmogorov Theorem Functional Link Network Fuzzy Functional Link Network Representation of the Extended Kolmogorov Theorem using FFLN

  13. Representation of the Extended Kolmogorov Theorem with a Neural Network

  14. Application: The function to be approximated is unknown and is constructed using expert knowledge. Prediction System to estimate the best moment to crop some fruits Input Process Unit Color Moments Zernike Moments Output Estimated Ripeness of the Fruit

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