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ALT
2005
Springer
14 years 4 months ago
Monotone Conditional Complexity Bounds on Future Prediction Errors
We bound the future loss when predicting any (computably) stochastic sequence online. Solomonoff finitely bounded the total deviation of his universal predictor M from the true ...
Alexey V. Chernov, Marcus Hutter
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 7 months ago
Improved complexity bounds for real root isolation using Continued Fractions
We consider the problem of isolating the real roots of a square-free polynomial with integer coefficients using (variants of) the continued fraction algorithm (CF). We introduce a...
Elias P. Tsigaridas
APPROX
2009
Springer
118views Algorithms» more  APPROX 2009»
14 years 2 months ago
Hellinger Strikes Back: A Note on the Multi-party Information Complexity of AND
The AND problem on t bits is a promise decision problem where either at most one bit of the input is set to 1 (NO instance) or all t bits are set to 1 (YES instance). In this note...
T. S. Jayram
IJCGA
2010
155views more  IJCGA 2010»
13 years 6 months ago
Competitive Complexity of Mobile Robot on-Line Motion Planning Problems
This paper is concerned with on-line problems where a mobile robot of size D has to achieve a task in an unknown planar environment whose geometry is acquired by the robot during ...
Yoav Gabriely, Elon Rimon
AI
2010
Springer
13 years 7 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim