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» Local Smoothing for Manifold Learning
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COMPGEOM
2008
ACM
13 years 9 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
CAGD
2005
112views more  CAGD 2005»
13 years 7 months ago
Estimating differential quantities using polynomial fitting of osculating jets
This paper addresses the point-wise estimation of differential properties of a smooth manifold S--a curve in the plane or a surface in 3D--assuming a point cloud sampled over S is...
Frédéric Cazals, Marc Pouget
PAKDD
2005
ACM
168views Data Mining» more  PAKDD 2005»
14 years 1 months ago
Adaptive Nonlinear Auto-Associative Modeling Through Manifold Learning
We propose adaptive nonlinear auto-associative modeling (ANAM) based on Locally Linear Embedding algorithm (LLE) for learning intrinsic principal features of each concept separatel...
Junping Zhang, Stan Z. Li
ICIP
1994
IEEE
13 years 11 months ago
Total Variation Based Image Restoration with Free Local Constraints
The two main plagues of image restoration are oscillations and smoothing. Traditional image restoration techniques prevent parasitic oscillations by resorting to smooth regulariza...
Leonid I. Rudin, Stanley Osher
PR
2006
147views more  PR 2006»
13 years 7 months ago
Robust locally linear embedding
In the past few years, some nonlinear dimensionality reduction (NLDR) or nonlinear manifold learning methods have aroused a great deal of interest in the machine learning communit...
Hong Chang, Dit-Yan Yeung