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ADCM
2006
61views more  ADCM 2006»
13 years 5 months ago
Inequalities on time-concentrated or frequency-concentrated functions
We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients van...
Say Song Goh, Tim N. T. Goodman
CISS
2010
IEEE
12 years 9 months ago
Concentration of measure for block diagonal matrices with repeated blocks
Abstract—The theoretical analysis of randomized compressive operators often relies on the existence of a concentration of measure inequality for the operator of interest. Though ...
Christopher J. Rozell, Han Lun Yap, Jae Young Park...
DAGSTUHL
2006
13 years 7 months ago
How fast does the stationary distribution of the Markov chain modelling EAs concentrate on the homogeneous populations for small
One of the main difficulties faced when analyzing Markov chains modelling evolutionary algorithms is that their cardinality grows quite fast. A reasonable way to deal with this iss...
Boris Mitavskiy, Jonathan E. Rowe
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 7 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
JMLR
2012
11 years 8 months ago
PAC-Bayes-Bernstein Inequality for Martingales and its Application to Multiarmed Bandits
We develop a new tool for data-dependent analysis of the exploration-exploitation trade-off in learning under limited feedback. Our tool is based on two main ingredients. The fi...
Yevgeny Seldin, Nicolò Cesa-Bianchi, Peter ...