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When dealing with modern big data sets, a very common theme is reducing the set through a random process.
A measure of asymptotic efficiency for tests of hypothesis based on the sum of observations
Herman Chernoff · 1952
Earlier work this paper cites.
Probability inequalities for the sum of bounded random variables
Wassily Hoeffding · 1963
Earlier work this paper cites.
On the uniform convergence of relative frequencies of events to their probabilities
Vladimir Vapnik and Alexey Chervonenkis · 1971
Earlier work this paper cites.
Extensions of Lipschitz maps into a Hilbert space
William B. Johnson and Joram Lindenstrauss · 1984
Earlier work this paper cites.
The Johnson-Lindenstrauss lemma and the spericity of some graphs
P. Frankl and H. Maehara · 1987
Earlier work this paper cites.
On the method of bounded differences
Colin McDiarmid · 1989
Earlier work this paper cites.
Sharper bounds for Gaussian and emperical processes
M. Talagrand · 1994
Cited alongside, same era.
Approximate nearest neighbors: Towards removing the curse of dimensionality
Piotr Indyk and Rajeev Motwani · 1998
Cited alongside, same era.
Randomized Algorithms
Rajeev Motwani and Prabhakar Raghaven · 2000
Cited alongside, same era.
Improved bounds on the samples complexity of learning
Yi Li, Philip M. Long, and Aravind Srinivasan · 2001
Cited alongside, same era.
Database-friendly random projections: Johnson-Lindenstrauss with binary coints
Dimitris Achlioptas · 2003
Cited alongside, same era.
An elmentary proof of a theorem of johnson and lindenstrauss
Sanjoy Dasgupta and Anupam Gupta · 2003
Cited alongside, same era.
Emperical processes and random projections
B. Klartag and S. Mendelson · 2005
Later among the works it cites.
Probability and Computing: Randomized Algorithms and Probabilisitic Analysis
Michael Mitzenmacher and Eli Upfal · 2005
Later among the works it cites.
Nearest neighbor preserving embeddings
Piotr Indyk and Assaf Naor · 2007
Later among the works it cites.
On variants of the Johnson-Lindenstrauss lemma
Jirři Matoušek · 2008
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Concentration of Measure for the Analysis of Randomized Algorithms
Devdatt P. Dubhashi and Alessandro Panconesi · 2009
Later among the works it cites.
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