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DGCI
2005
Springer
14 years 1 months ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...
COMPGEOM
2004
ACM
14 years 28 days ago
Geodesic ham-sandwich cuts
Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, J...
COLT
2008
Springer
13 years 9 months ago
Learning Rotations
An algorithm is presented for online learning of rotations. The proposed algorithm involves matrix exponentiated gradient updates and is motivated by the von Neumann divergence. T...
Adam M. Smith, Manfred K. Warmuth
JMLR
2012
11 years 10 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...
IMR
2004
Springer
14 years 26 days ago
A Generalized Graph-Theoretic Mesh Optimization Model
This paper presents a generic approach to mesh global optimization via node movement, based on a discrete graph-theoretic model. Mesh is considered as an electric system with lump...
Andrey A. Mezentsev