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ENTCS
2006
92views more  ENTCS 2006»
13 years 7 months ago
Nonstandard Meromorphic Groups
Extending the work of [7] on groups definable in compact complex manifolds and of [1] on strongly minimal groups definable in nonstandard compact complex manifolds, we classify al...
Thomas Scanlon
AAAI
2008
13 years 9 months ago
Manifold Integration with Markov Random Walks
Most manifold learning methods consider only one similarity matrix to induce a low-dimensional manifold embedded in data space. In practice, however, we often use multiple sensors...
Heeyoul Choi, Seungjin Choi, Yoonsuck Choe
COLT
2005
Springer
14 years 26 days ago
Towards a Theoretical Foundation for Laplacian-Based Manifold Methods
In recent years manifold methods have attracted a considerable amount of attention in machine learning. However most algorithms in that class may be termed ā€œmanifold-motivatedā€...
Mikhail Belkin, Partha Niyogi
ICASSP
2011
IEEE
12 years 11 months ago
Sampling on locally defined principal manifolds
We start with a locally deļ¬ned principal curve deļ¬nition for a given probability density function (pdf) and deļ¬ne a pairwise manifold score based on local derivatives of the...
Erhan Bas, Deniz Erdogmus
KDD
2007
ACM
276views Data Mining» more  KDD 2007»
14 years 7 months ago
Nonlinear adaptive distance metric learning for clustering
A good distance metric is crucial for many data mining tasks. To learn a metric in the unsupervised setting, most metric learning algorithms project observed data to a lowdimensio...
Jianhui Chen, Zheng Zhao, Jieping Ye, Huan Liu