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» Lower Bounds Using Kolmogorov Complexity
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TIT
2010
107views Education» more  TIT 2010»
13 years 2 months ago
Rate distortion and denoising of individual data using Kolmogorov complexity
We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a so...
Nikolai K. Vereshchagin, Paul M. B. Vitányi
SODA
2012
ACM
245views Algorithms» more  SODA 2012»
11 years 10 months ago
Lower bounds for number-in-hand multiparty communication complexity, made easy
In this paper we prove lower bounds on randomized multiparty communication complexity, both in the blackboard model (where each message is written on a blackboard for all players ...
Jeff M. Phillips, Elad Verbin, Qin Zhang
STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 7 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek
MCU
2007
95views Hardware» more  MCU 2007»
13 years 9 months ago
Slightly Beyond Turing's Computability for Studying Genetic Programming
Inspired by genetic programming (GP), we study iterative algorithms for non-computable tasks and compare them to naive models. This framework justifies many practical standard tri...
Olivier Teytaud
CORR
2011
Springer
147views Education» more  CORR 2011»
13 years 2 months ago
Symmetry of information and bounds on nonuniform randomness extraction via Kolmogorov extractors
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
Marius Zimand