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MP
2006
134views more  MP 2006»
15 years 6 months ago
Cubic regularization of Newton method and its global performance
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Yurii Nesterov, Boris T. Polyak
IPPS
2009
IEEE
16 years 29 days ago
Combining multiple heuristics on discrete resources
—In this work we study the portfolio problem which is to find a good combination of multiple heuristics to solve given instances on parallel resources in minimum time. The resou...
Marin Bougeret, Pierre-François Dutot, Alfr...
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
16 years 3 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
TCS
1998
15 years 6 months ago
An Improved Zero-One Law for Algorithmically Random Sequences
Results on random oracles typically involve showing that a class {X : P(X)} has Lebesgue measure one, i.e., that some property P(X) holds for “almost every X.” A potentially m...
Steven M. Kautz
CAAP
1992
15 years 10 months ago
Varieties of Increasing Trees
We extend results about heights of random trees (Devroye, 1986, 1987, 1998b). In this paper, a general split tree model is considered in which the normalized subtree sizes of node...
François Bergeron, Philippe Flajolet, Bruno...