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» Regularization on Discrete Spaces
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126
Voted
COMPGEOM
2010
ACM
15 years 8 months ago
Lines avoiding balls in three dimensions revisited
Let B be a collection of n arbitrary balls in R3 . We establish an almost-tight upper bound of O(n3+ε ), for any ε > 0, on the complexity of the space F(B) of all the lines t...
Natan Rubin
115
Voted
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
15 years 8 months ago
A contractivity approach for probabilistic bisimulations of diffusion processes
— This work is concerned with the problem of characterizing and computing probabilistic bisimulations of diffusion processes. A probabilistic bisimulation relation between two su...
Alessandro Abate
128
Voted
GM
1999
Springer
15 years 8 months ago
Piecewise Linear Wavelets Over Type-2 Triangulations
: The idea of summing pairs of so-called semi-wavelets has been found to be very useful for constructing piecewise linear wavelets over refinements of arbitrary triangulations. In...
Michael S. Floater, Ewald G. Quak
145
Voted
COMPGEOM
1997
ACM
15 years 7 months ago
Approximate Nearest Neighbor Queries Revisited
This paper proposes new methods to answer approximate nearest neighbor queries on a set of n points in d-dimensional Euclidean space. For any xed constant d, a data structure with...
Timothy M. Chan
131
Voted
ICALP
1994
Springer
15 years 7 months ago
On some Relations between Dynamical Systems and Transition Systems
Abstract. In this paper we de ne a precise notion of abstraction relation between continuous dynamical systems and discrete state-transition systems. Our main result states that ev...
Eugene Asarin, Oded Maler