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» One-Way Functions in Complexity Theory
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111
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TIT
2010
107views Education» more  TIT 2010»
14 years 5 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
84
Voted
JACM
2002
122views more  JACM 2002»
14 years 10 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
100
Voted
COMPGEOM
2005
ACM
15 years 26 days ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
LPNMR
2009
Springer
15 years 5 months ago
The Complexity of Circumscriptive Inference in Post's Lattice
Circumscription is one of the most important formalisms for reasoning with incomplete information. It is equivalent to reasoning under the extended closed world assumption, which a...
Michael Thomas
99
Voted
COMPGEOM
2003
ACM
15 years 4 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...