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COMPGEOM
2008
ACM
13 years 10 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
AAAI
2008
13 years 10 months ago
Clustering via Random Walk Hitting Time on Directed Graphs
In this paper, we present a general data clustering algorithm which is based on the asymmetric pairwise measure of Markov random walk hitting time on directed graphs. Unlike tradi...
Mo Chen, Jianzhuang Liu, Xiaoou Tang
DAM
2008
88views more  DAM 2008»
13 years 8 months ago
Stochastic applications of media theory: Random walks on weak orders or partial orders
This paper presents the axioms of a real time random walk on the set of states of a medium and some of their consequences, such as the asymptotic probabilities of the states. The ...
Jean-Claude Falmagne, Yung-Fong Hsu, Fabio Leite, ...
ICML
2006
IEEE
14 years 9 months ago
A new approach to data driven clustering
We consider the problem of clustering in its most basic form where only a local metric on the data space is given. No parametric statistical model is assumed, and the number of cl...
Arik Azran, Zoubin Ghahramani
ICML
2004
IEEE
14 years 9 months ago
Learning random walk models for inducing word dependency distributions
Many NLP tasks rely on accurately estimating word dependency probabilities P(w1|w2), where the words w1 and w2 have a particular relationship (such as verb-object). Because of the...
Kristina Toutanova, Christopher D. Manning, Andrew...