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» The Complexity of Integer Bound Propagation
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CORR
2010
Springer
179views Education» more  CORR 2010»
14 years 7 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
DAGSTUHL
2008
14 years 11 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
15 years 3 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel
JMLR
2010
106views more  JMLR 2010»
14 years 4 months ago
Improving posterior marginal approximations in latent Gaussian models
We consider the problem of correcting the posterior marginal approximations computed by expectation propagation and Laplace approximation in latent Gaussian models and propose cor...
Botond Cseke, Tom Heskes
CPAIOR
2005
Springer
15 years 3 months ago
A Search-Infer-and-Relax Framework for Integrating Solution Methods
Abstract. We present an algorithmic framework for integrating solution methods that is based on search, inference, and relaxation and their interactions. We show that the following...
John N. Hooker