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Publication
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12 years 5 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
JMLR
2010
102views more  JMLR 2010»
13 years 2 months ago
Efficient Algorithms for Conditional Independence Inference
The topic of the paper is computer testing of (probabilistic) conditional independence (CI) implications by an algebraic method of structural imsets. The basic idea is to transfor...
Remco R. Bouckaert, Raymond Hemmecke, Silvia Lindn...
COMPGEOM
1987
ACM
13 years 11 months ago
Simplified Voronoi Diagrams
We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
John F. Canny, Bruce Randall Donald
COMPGEOM
2001
ACM
13 years 11 months ago
Segment intersection searching problems in general settings
We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess n arcs in time O(n2+ ) into a data structure of si...
Vladlen Koltun
AB
2007
Springer
14 years 1 months ago
Algorithmic Algebraic Model Checking IV: Characterization of Metabolic Networks
A series of papers, all under the title of Algorithmic Algebraic Model Checking (AAMC), has sought to combine techniques from algorithmic algebra, model checking and dynamical syst...
Venkatesh Mysore, Bud Mishra