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» Scaled Dimension and Nonuniform Complexity
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SC
2005
ACM
14 years 1 months ago
Intelligent Feature Extraction and Tracking for Visualizing Large-Scale 4D Flow Simulations
Terascale simulations produce data that is vast in spatial, temporal, and variable domains, creating a formidable challenge for subsequent analysis. Feature extraction as a data r...
Fan-Yin Tzeng, Kwan-Liu Ma
FOCM
2007
48views more  FOCM 2007»
13 years 7 months ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
FSTTCS
2004
Springer
14 years 1 months ago
Hardness Hypotheses, Derandomization, and Circuit Complexity
We consider hypotheses about nondeterministic computation that have been studied in different contexts and shown to have interesting consequences: • The measure hypothesis: NP d...
John M. Hitchcock, Aduri Pavan
COMPGEOM
2008
ACM
13 years 9 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
CVPR
2012
IEEE
11 years 10 months ago
Geometric understanding of point clouds using Laplace-Beltrami operator
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zha...