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» Complexity of the Cover Polynomial
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STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 10 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 10 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
ICML
2009
IEEE
14 years 11 months ago
Near-Bayesian exploration in polynomial time
We consider the exploration/exploitation problem in reinforcement learning (RL). The Bayesian approach to model-based RL offers an elegant solution to this problem, by considering...
J. Zico Kolter, Andrew Y. Ng
STOC
2010
ACM
216views Algorithms» more  STOC 2010»
14 years 7 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson
FOCS
1998
IEEE
14 years 2 months ago
A Linguistic Characterization of Bounded Oracle Computation and Probabilistic Polynomial Time
We present a higher-order functional notation for polynomial-time computation with arbitrary 0; 1-valued oracle. This provides a linguistic characterization for classes such as np...
John C. Mitchell, Mark Mitchell, Andre Scedrov