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» On the number of minima of a random polynomial
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SIAMREV
2010
132views more  SIAMREV 2010»
13 years 2 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone
FOCS
2007
IEEE
14 years 2 months ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor
FOCS
2009
IEEE
14 years 2 months ago
2-Source Extractors under Computational Assumptions and Cryptography with Defective Randomness
Abstract— We show how to efficiently extract truly random bits from two independent sources of linear min-entropy, under a computational assumption. The assumption we rely on is...
Yael Tauman Kalai, Xin Li, Anup Rao
ICCD
2003
IEEE
109views Hardware» more  ICCD 2003»
14 years 4 months ago
Independent Test Sequence Compaction through Integer Programming
We discuss the compaction of independent test sequences for sequential circuits. Our first contribution is the formulation of this problem as an integer program, which we then so...
Petros Drineas, Yiorgos Makris
CAAP
1992
13 years 11 months ago
Varieties of Increasing Trees
We extend results about heights of random trees (Devroye, 1986, 1987, 1998b). In this paper, a general split tree model is considered in which the normalized subtree sizes of node...
François Bergeron, Philippe Flajolet, Bruno...