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» The tidy set: a minimal simplicial set for computing homolog...
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COMPGEOM
2010
ACM
13 years 9 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
COMPGEOM
2011
ACM
12 years 8 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
IDA
2002
Springer
13 years 4 months ago
Classification with sparse grids using simplicial basis functions
Recently we presented a new approach [20] to the classification problem arising in data mining. It is based on the regularization network approach but in contrast to other methods...
Jochen Garcke, Michael Griebel