Patent · US Expired

Partially supervised machine learning of data classification based on local-neighborhood Laplacian Eigenmaps

US7412425B2 · kind B2 · utility

6Cited by
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24Claims
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Key dates

Filing dateApr 14, 2005
Grant dateAug 12, 2008
Priority date
Expiry dateSep 21, 2025

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG06F18/21375
  • WIPO fieldComputer technology
  • WIPO sectorElectrical engineering

Abstract

A local-neighborhood Laplacian Eigenmap (LNLE) algorithm is provided for methods and systems for semi-supervised learning on manifolds of data points in a high-dimensional space. In one embodiment, an LNLE based method includes building an adjacency graph over a dataset of labelled and unlabelled points. The adjacency graph is then used for finding a set of local neighbors with respect to an unlabelled data point to be classified. An eigen decomposition of the local subgraph provides a smooth function over the subgraph. The smooth function can be evaluated and based on the function evaluation the unclassified data point can be labelled. In one embodiment, a transductive inference (TI) algorithmic approach is provided. In another embodiment, a semi-supervised inductive inference (SSII) algorithmic approach is provided for classification of subsequent data points. A confidence determination can be provided based on a number of labeled data points within the local neighborhood. Experimental results comparing LNLE and simple LE approaches are presented.

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