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ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
13 years 7 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée
NIPS
2008
13 years 9 months ago
On the Complexity of Linear Prediction: Risk Bounds, Margin Bounds, and Regularization
This work characterizes the generalization ability of algorithms whose predictions are linear in the input vector. To this end, we provide sharp bounds for Rademacher and Gaussian...
Sham M. Kakade, Karthik Sridharan, Ambuj Tewari
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 11 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
JCT
2007
112views more  JCT 2007»
13 years 7 months ago
On generalized Kneser hypergraph colorings
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
Carsten E. M. C. Lange, Günter M. Ziegler
APPROX
2011
Springer
284views Algorithms» more  APPROX 2011»
12 years 7 months ago
On Approximating the Number of Relevant Variables in a Function
In this work we consider the problem of approximating the number of relevant variables in a function given query access to the function. Since obtaining a multiplicative factor ap...
Dana Ron, Gilad Tsur