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COMPGEOM
2007
ACM
13 years 11 months ago
Embeddings of surfaces, curves, and moving points in euclidean space
In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and...
Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu
CVPR
2010
IEEE
13 years 5 months ago
Spherical embeddings for non-Euclidean dissimilarities
Richard C. Wilson, Edwin R. Hancock, Elzbieta Peka...
DCG
2010
76views more  DCG 2010»
13 years 7 months ago
The Euclidean Distortion of the Lamplighter Group
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
Tim Austin, Assaf Naor, Alain Valette
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 7 months ago
The Euclidean Distortion of Flat Tori
We show that for every n-dimensional lattice L the torus Rn /L can be embedded with distortion O(n
Ishay Haviv, Oded Regev
ICASSP
2008
IEEE
14 years 1 months ago
Fine: Information embedding for document classification
The problem of document classification considers categorizing or grouping of various document types. Each document can be represented as a bag of words, which has no straightforw...
Kevin M. Carter, Raviv Raich, Alfred O. Hero