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» Proving Time Bounds for Randomized Distributed Algorithms
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CORR
2006
Springer
123views Education» more  CORR 2006»
14 years 9 months ago
Counting good truth assignments of random k-SAT formulae
We present a deterministic approximation algorithm to compute logarithm of the number of `good' truth assignments for a random k-satisfiability (k-SAT) formula in polynomial ...
Andrea Montanari, Devavrat Shah
UAI
2004
14 years 11 months ago
PAC-learning Bounded Tree-width Graphical Models
We show that the class of strongly connected graphical models with treewidth at most k can be properly efficiently PAC-learnt with respect to the Kullback-Leibler Divergence. Prev...
Mukund Narasimhan, Jeff A. Bilmes
FOCS
2009
IEEE
15 years 4 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...
SODA
2010
ACM
181views Algorithms» more  SODA 2010»
14 years 8 months ago
Near-Optimal Sublinear Time Algorithms for Ulam Distance
We give near-tight bounds for estimating the edit distance between two non-repetitive strings (Ulam distance) with constant approximation, in sub-linear time. For two strings of l...
Alexandr Andoni, Huy L. Nguyen
TIT
2008
61views more  TIT 2008»
14 years 9 months ago
A Probabilistic Upper Bound on Differential Entropy
A novel, non-trivial, probabilistic upper bound on the entropy of an unknown one-dimensional distribution, given the support of the distribution and a sample from that distribution...
Erik G. Learned-Miller, Joseph DeStefano