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» Deterministic random walks on the integers
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TCS
2010
12 years 12 months ago
Parametric random generation of deterministic tree automata
Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential l...
Pierre-Cyrille Héam, Cyril Nicaud, Sylvain ...
FOCS
1997
IEEE
13 years 9 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
ENDM
2006
70views more  ENDM 2006»
13 years 5 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich
FSTTCS
2001
Springer
13 years 9 months ago
On Clustering Using Random Walks
Abstract. We propose a novel approach to clustering, based on deterministic analysis of random walks on the weighted graph associated with the clustering problem. The method is cen...
David Harel, Yehuda Koren
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 5 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan