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» Upper and lower Ramsey bounds in bounded arithmetic
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CORR
2011
Springer
144views Education» more  CORR 2011»
14 years 6 months ago
On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function
— Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we ...
Mehdi Molkaraie, Payam Pakzad
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
16 years 1 days ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 3 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
DAGSTUHL
2004
15 years 1 months ago
Lower Bounds and Non-Uniform Time Discretization for Approximation of Stochastic Heat Equations
We study algorithms for approximation of the mild solution of stochastic heat equations on the spatial domain ]0, 1[ d . The error of an algorithm is defined in L2-sense. We derive...
Klaus Ritter, Thomas Müller-Gronbach
CC
2006
Springer
125views System Software» more  CC 2006»
14 years 11 months ago
A tight lower bound for restricted pir protocols
We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are 1-bit long must ask questions that are at least n - 2 bits long, which is nearly equa...
Richard Beigel, Lance Fortnow, William I. Gasarch