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» Bounds of Graph Characteristics
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SODA
2001
ACM
79views Algorithms» more  SODA 2001»
13 years 9 months ago
Learning Markov networks: maximum bounded tree-width graphs
Markov networks are a common class of graphical models used in machine learning. Such models use an undirected graph to capture dependency information among random variables in a ...
David R. Karger, Nathan Srebro
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 2 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
ESA
2009
Springer
106views Algorithms» more  ESA 2009»
14 years 2 months ago
Fast Evaluation of Interlace Polynomials on Graphs of Bounded Treewidth
Abstract. We consider the multivariate interlace polynomial introduced by Courcelle (2008), which generalizes several interlace polynomials defined by Arratia, Bollob´as, and Sor...
Markus Bläser, Christian Hoffmann
FOCM
2007
76views more  FOCM 2007»
13 years 7 months ago
Risk Bounds for Random Regression Graphs
We consider the regression problem and describe an algorithm approximating the regression function by estimators piecewise constant on the elements of an adaptive partition. The pa...
Andrea Caponnetto, Steve Smale
IPL
2002
89views more  IPL 2002»
13 years 7 months ago
New bounds on the barycenter heuristic for bipartite graph drawing
The barycenter heuristic is often used to solve the NP-hard two-layer edge crossing minimization problem. It is well-known that the barycenter heuristic can give solutions as bad a...
Xiao Yu Li, Matthias F. M. Stallmann