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» Finite-State Dimension and Real Arithmetic
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CORR
2006
Springer
89views Education» more  CORR 2006»
13 years 5 months ago
Finite-State Dimension and Real Arithmetic
We use entropy rates and Schur concavity to prove that, for every integer k 2, every nonzero rational number q, and every real number , the base-k expansions of , q + , and q all...
David Doty, Jack H. Lutz, Satyadev Nandakumar
COLT
1993
Springer
13 years 9 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum
MKM
2009
Springer
13 years 11 months ago
Combined Decision Techniques for the Existential Theory of the Reals
Methods for deciding quantifier-free non-linear arithmetical conjectures over R are crucial in the formal verification of many realworld systems and in formalised mathematics. Wh...
Grant Olney Passmore, Paul B. Jackson
COCOON
2007
Springer
13 years 11 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan
ACIVS
2006
Springer
13 years 11 months ago
Dedicated Hardware for Real-Time Computation of Second-Order Statistical Features for High Resolution Images
We present a novel dedicated hardware system for the extraction of second-order statistical features from high-resolution images. The selected features are based on gray level co-o...
Dimitris G. Bariamis, Dimitrios K. Iakovidis, Dimi...