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» A HOL Theory of Euclidean Space
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COMPGEOM
2008
ACM
13 years 9 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
SIAMMAX
2010
164views more  SIAMMAX 2010»
13 years 2 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
GLOBECOM
2007
IEEE
14 years 1 months ago
Volume Growth and General Rate Quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu
ADCM
2008
136views more  ADCM 2008»
13 years 7 months ago
Learning and approximation by Gaussians on Riemannian manifolds
Learning function relations or understanding structures of data lying in manifolds embedded in huge dimensional Euclidean spaces is an important topic in learning theory. In this ...
Gui-Bo Ye, Ding-Xuan Zhou
CIE
2005
Springer
14 years 1 months ago
Computability in Computational Geometry
We promote the concept of object directed computability in computational geometry in order to faithfully generalise the wellestablished theory of computability for real numbers and...
Abbas Edalat, Ali Asghar Khanban, André Lie...