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» The Arithmetical Complexity of Dimension and Randomness
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CACM
2010
104views more  CACM 2010»
15 years 6 months ago
Faster dimension reduction
Data represented geometrically in high-dimensional vector spaces can be found in many applications. Images and videos, are often represented by assigning a dimension for every pix...
Nir Ailon, Bernard Chazelle
FOCM
2007
48views more  FOCM 2007»
15 years 6 months ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
ICALP
2007
Springer
16 years 23 days ago
Reconciling Data Compression and Kolmogorov Complexity
While data compression and Kolmogorov complexity are both about effective coding of words, the two settings differ in the following respect. A compression algorithm or compressor...
Laurent Bienvenu, Wolfgang Merkle
ITC
2003
IEEE
222views Hardware» more  ITC 2003»
15 years 12 months ago
Race: A Word-Level ATPG-Based Constraints Solver System For Smart Random Simulation
Functional verification of complex designs largely relies on the use of simulation in conjunction high-level verification languages (HVL) and test-bench automation (TBA) tools. In...
Mahesh A. Iyer
TCS
1998
15 years 6 months ago
An Improved Zero-One Law for Algorithmically Random Sequences
Results on random oracles typically involve showing that a class {X : P(X)} has Lebesgue measure one, i.e., that some property P(X) holds for “almost every X.” A potentially m...
Steven M. Kautz