Patent
Method, system and computer program product for non-linear mapping of multi-dimensional data
Dimitris K. Agrafiotis,Victor S. Lobanov,Francis R. Salemme +2 more
- 03 May 2000
105
TL;DR: In this article, a method, system and computer program product for scaling, or dimensionally reducing, multi-dimensional data sets is presented, where a sample of points from an n-dimensional dataset is selected and non-linearly mapped to obtain the corresponding set of m-dimensional points.
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Abstract: 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.
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