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SDM
2003
SIAM
120views Data Mining» more  SDM 2003»
13 years 6 months ago
Estimation of Topological Dimension
We present two extensions of the algorithm by Broomhead et al [2] which is based on the idea that singular values that scale linearly with the radius of the data ball can be explo...
Douglas R. Hundley, Michael J. Kirby
APVIS
2010
12 years 11 months ago
Visual analysis of high dimensional point clouds using topological landscapes
In this paper, we present a novel three-stage process to visualize the structure of point clouds in arbitrary dimensions. To get insight into the structure and complexity of a dat...
Patrick Oesterling, Christian Heine, Heike Jä...
TSP
2010
12 years 11 months ago
On local intrinsic dimension estimation and its applications
In this paper, we present multiple novel applications for local intrinsic dimension estimation. There has been much work done on estimating the global dimension of a data set, typi...
Kevin M. Carter, Raviv Raich, Alfred O. Hero
JMLR
2012
11 years 7 months ago
Minimax rates for homology inference
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sh...
GRAPHICSINTERFACE
2000
13 years 6 months ago
Automatic Joint Parameter Estimation from Magnetic Motion Capture Data
This paper describes a technique for using magnetic motion capture data to determine the joint parameters of an articulated hierarchy. This technique makes it possible to determin...
James F. O'Brien, Robert E. Bodenheimer, Gabriel J...