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» Clustering by Random Projections
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BIOWIRE
2007
Springer
15 years 5 months ago
Beta Random Projection
Random projection (RP) is a common technique for dimensionality reduction under L2 norm for which many significant space embedding results have been demonstrated. In particular, r...
Yu-En Lu, Pietro Liò, Steven Hand
ISIPTA
2003
IEEE
127views Mathematics» more  ISIPTA 2003»
15 years 5 months ago
Climate Projections for the 21st Century Using Random Sets
We apply random set theory to an analysis of future climate change. Bounds on cumulative probability are used to quantify uncertainties in natural and socio-economic factors that ...
Elmar Kriegler, Hermann Held
PODS
2001
ACM
120views Database» more  PODS 2001»
15 years 11 months ago
Database-friendly random projections
A classic result of Johnson and Lindenstrauss asserts that any set of n points in d-dimensional Euclidean space can be embedded into k-dimensional Euclidean space -- where k is lo...
Dimitris Achlioptas
ICIP
2008
IEEE
16 years 1 months ago
On the estimation of geodesic paths on sampled manifolds under random projections
In this paper, we focus on the use of random projections as a dimensionality reduction tool for sampled manifolds in highdimensional Euclidean spaces. We show that geodesic paths ...
Mona Mahmoudi, Pierre Vandergheynst, Matteo Sorci
CORR
2008
Springer
110views Education» more  CORR 2008»
14 years 11 months ago
Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications
Let A be an n by N real valued random matrix, and HN denote the N-dimensional hypercube. For numerous random matrix ensembles, the expected number of k-dimensional faces of the ran...
David L. Donoho, Jared Tanner