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ALGORITHMICA
2006
174views more  ALGORITHMICA 2006»
13 years 5 months ago
Profiles of Random Trees: Limit Theorems for Random Recursive Trees and Binary Search Trees
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger
AIPS
2003
13 years 7 months ago
Synthesis of Hierarchical Finite-State Controllers for POMDPs
We develop a hierarchical approach to planning for partially observable Markov decision processes (POMDPs) in which a policy is represented as a hierarchical finite-state control...
Eric A. Hansen, Rong Zhou
SIAMSC
2008
147views more  SIAMSC 2008»
13 years 5 months ago
Global and Finite Termination of a Two-Phase Augmented Lagrangian Filter Method for General Quadratic Programs
We present a two-phase algorithm for solving large-scale quadratic programs (QPs). In the first phase, gradient-projection iterations approximately minimize an augmented Lagrangian...
Michael P. Friedlander, Sven Leyffer
SIAMDM
2008
99views more  SIAMDM 2008»
13 years 5 months ago
Phase Changes in Subtree Varieties in Random Recursive and Binary Search Trees
We study the variety of subtrees lying on the fringe of recursive trees and binary search trees by analyzing the distributional behavior of Xn,k, which counts the number of subtree...
Qunqiang Feng, Hosam M. Mahmoud, Alois Panholzer
COCOA
2010
Springer
13 years 3 months ago
Feasibility-Based Bounds Tightening via Fixed Points
Abstract. The search tree size of the spatial Branch-and-Bound algorithm for Mixed-Integer Nonlinear Programming depends on many factors, one of which is the width of the variable ...
Pietro Belotti, Sonia Cafieri, Jon Lee, Leo Libert...