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» Partition Theorems and Computability Theory
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FOCM
2002
83views more  FOCM 2002»
14 years 9 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
COLT
1999
Springer
15 years 1 months ago
Regret Bounds for Prediction Problems
We present a unified framework for reasoning about worst-case regret bounds for learning algorithms. This framework is based on the theory of duality of convex functions. It brin...
Geoffrey J. Gordon
APAL
2010
115views more  APAL 2010»
14 years 9 months ago
Kripke semantics for provability logic GLP
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
Lev D. Beklemishev
IM
2007
14 years 9 months ago
In-Degree and PageRank: Why Do They Follow Similar Power Laws?
PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that PageRank values obey a power law with the same exponent as In-Degree values. This ...
Nelly Litvak, Werner R. W. Scheinhardt, Yana Volko...
ARITH
2003
IEEE
15 years 3 months ago
SRT Division Algorithms as Dynamical Systems
SRT division, as it was discovered in the late 1950s represented an important improvement in the speed of division algorithms for computers at the time. A variant of SRT division ...
Mark McCann, Nicholas Pippenger