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» On variants of the Johnson-Lindenstrauss lemma
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KDD
2010
ACM
195views Data Mining» more  KDD 2010»
13 years 11 months ago
Universal multi-dimensional scaling
In this paper, we propose a unified algorithmic framework for solving many known variants of MDS. Our algorithm is a simple iterative scheme with guaranteed convergence, and is m...
Arvind Agarwal, Jeff M. Phillips, Suresh Venkatasu...
COMPGEOM
2008
ACM
13 years 9 months ago
Tighter bounds for random projections of manifolds
The Johnson-Lindenstrauss random projection lemma gives a simple way to reduce the dimensionality of a set of points while approximately preserving their pairwise distances. The m...
Kenneth L. Clarkson
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
RECOMB
2006
Springer
14 years 7 months ago
A Sublinear-Time Randomized Approximation Scheme for the Robinson-Foulds Metric
The Robinson-Foulds (RF) metric is the measure most widely used in comparing phylogenetic trees; it can be computed in linear time using Day's algorithm. When faced with the n...
Nicholas D. Pattengale, Bernard M. E. Moret
SODA
2008
ACM
144views Algorithms» more  SODA 2008»
13 years 9 months ago
Fast dimension reduction using Rademacher series on dual BCH codes
The Fast Johnson-Lindenstrauss Transform (FJLT) was recently discovered by Ailon and Chazelle as a novel technique for performing fast dimension reduction with small distortion fr...
Nir Ailon, Edo Liberty