Alignments of manifold sections of different dimensions in manifold learning

Qiang Ye, Weifeng Zhi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We consider an alignment algorithm for reconstructing global coordinates from local coordinates constructed for sections of manifolds. We show that, under certain conditions, the alignment algorithm can successfully recover global coordinates even when local neighborhoods have different dimensions. Our results generalize an earlier analysis to allow alignment of sections of different dimensions. We also apply our result to a semisupervised learning problem.

Original languageEnglish
Title of host publicationManifold Learning and Its Applications - Papers from the AAAI Fall Symposium, Technical Report
Pages63-68
Number of pages6
StatePublished - 2010
Event2010 AAAI Fall Symposium - Arlington, VA, United States
Duration: Nov 11 2010Nov 13 2010

Publication series

NameAAAI Fall Symposium - Technical Report
VolumeFS-10-06

Conference

Conference2010 AAAI Fall Symposium
Country/TerritoryUnited States
CityArlington, VA
Period11/11/1011/13/10

ASJC Scopus subject areas

  • Engineering (all)

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