Method, system and computer program product for non-linear...

G - Physics – 06 – F

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G06F 17/00 (2006.01) G06F 17/10 (2006.01) G06F 17/17 (2006.01)

Patent

CA 2371649

A method, system and computer program product for scaling, or dimensionally reducing, multi-dimensional data sets. The invention selects a sample of points from an n-dimensional data set and non-linearly maps the sample of points to obtain the corresponding set of m-dimensional points. Any suitable non-linear mapping or multi-dimensional scaling technique can be employed. The process then trains a system (e.g., a neural network), using the corresponding sets of points. During, or at the conclusion of the training process, the system develops or determines a relationship between the two sets of points. In an embodiment, the relationship is in the form of one or more non-linear functions. The one or more non-linear functions are then implemented in a system. Thereafter, additional n-dimensional points are provided to the system, which maps the additional points using the one or more non-linear functions.

Procédé, système et programme informatique servant à échelonner ou à réduire les dimensions d'ensembles de données multidimensionnelles. L'invention consiste à sélectionner un échantillonnage de points dans un ensemble de données n-dimensionnelles et à appliquer de façon non linéaire cet échantillonnage de points afin d'obtenir l'ensemble correspondant de points m-dimensionnels. On peut mettre en application toute technique appropriée d'application non linéaire ou d'échelonnement multidimensionnel. Le processus consiste ensuite à entraîner un système (par exemple, un réseau neural) au moyen des ensembles correspondants de points. Pendant le déroulement ou à la fin du processus d'entraînement, ce système développe ou détermine un rapport entre les deux ensembles de points. Dans un mode de réalisation, le rapport se présente sous la forme d'une ou de plusieurs fonctions non linéaires. On met ensuite ces dernières en application dans un système. On introduit ensuite des points n-dimensionnels supplémentaires dans le système, qui applique les points supplémentaires au moyen de cette fonction ou de ces fonctions non linéaires.

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