TY - GEN
T1 - Alignments of manifold sections of different dimensions in manifold learning
AU - Ye, Qiang
AU - Zhi, Weifeng
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79960142531&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79960142531&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:79960142531
SN - 9781577354888
T3 - AAAI Fall Symposium - Technical Report
SP - 63
EP - 68
BT - Manifold Learning and Its Applications - Papers from the AAAI Fall Symposium, Technical Report
T2 - 2010 AAAI Fall Symposium
Y2 - 11 November 2010 through 13 November 2010
ER -