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» Dualizability and graph algebras
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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...
ICFP
2012
ACM
11 years 10 months ago
Functional programming with structured graphs
This paper presents a new functional programming model for graph structures called structured graphs. Structured graphs extend conventional algebraic datatypes with explicit defi...
Bruno C. d. S. Oliveira, William R. Cook
MKM
2009
Springer
14 years 2 months ago
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra
Graphical languages provide a powerful tool for describing the behaviour of quantum systems. While the use of graphs vastly reduces the complexity of many calculations [4,10], manu...
Aleks Kissinger
FUIN
2007
122views more  FUIN 2007»
13 years 7 months ago
Behaviour Algebras
The paper is concerned with algebras whose elements can be used to represent runs of a system, called processes. These algebras, called behaviour algebras, are categories with resp...
Józef Winkowski
CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 2 months ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo