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COMBINATORICS
2006
221views more  COMBINATORICS 2006»
14 years 9 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
ICML
2008
IEEE
15 years 10 months ago
Graph kernels between point clouds
Point clouds are sets of points in two or three dimensions. Most kernel methods for learning on sets of points have not yet dealt with the specific geometrical invariances and pra...
Francis R. Bach
ECCV
2004
Springer
15 years 3 months ago
Multi-label Image Segmentation for Medical Applications Based on Graph-Theoretic Electrical Potentials
Abstract. A novel method is proposed for performing multi-label, semi-automated image segmentation. Given a small number of pixels with user-defined labels, one can analytically (...
Leo Grady, Gareth Funka-Lea
ICASSP
2011
IEEE
14 years 1 months ago
Polytope kernel density estimates on Delaunay graphs
We present a polytope-kernel density estimation (PKDE) methodology that allows us to perform exact mean-shift updates along the edges of the Delaunay graph of the data. We discuss...
Erhan Bas, Deniz Erdogmus
DM
2008
79views more  DM 2008»
14 years 9 months ago
The reconstruction conjecture and edge ideals
Given a simple graph G on n vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of G, that is, from the collection o...
Kia Dalili, Sara Faridi, Will Traves