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» On Failure of 0-1 Laws
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SIAMCO
2000
104views more  SIAMCO 2000»
13 years 4 months ago
Law of the Iterated Logarithm for a Constant-Gain Linear Stochastic Gradient Algorithm
We study almost-sure limiting properties, taken as 0, of the finite horizon sequence of random estimates { 0, 1, 2, . . . , T/ } for the linear stochastic gradient algorithm n+1 ...
J. A. Joslin, A. J. Heunis
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 4 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye
STOC
2009
ACM
106views Algorithms» more  STOC 2009»
14 years 5 months ago
Random graphs and the parity quantifier
The classical zero-one law for first-order logic on random graphs says that for every first-order property in the theory of graphs and every p (0, 1), the probability that the r...
Phokion G. Kolaitis, Swastik Kopparty
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 3 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 15 days ago
A limit process for partial match queries in random quadtrees
We consider the problem of recovering items matching a partially specified pattern in multidimensional trees (quad trees and k-d trees). We assume the classical model where the d...
Nicolas Broutin, Ralph Neininger, Henning Sulzbach