GitHub - gkirtzou/wlpyramid: The Pyramid Quantized Weisfeiler-Lehman Graph Representation (WLpyramid) is a method that tackles the graph comparison and representation problem for continuous vector labeled graphs. Our algorithm considers statistics of subtree patterns with discrete labels based on the Weisfeiler-Lehman algorithm. The key advantage of these subtree statistics is their linear complexity to the number of edges in the graph under investigation. Moreover, they make use of an efficient hashing scheme enumerating the relevant dimensions of an exponentially sized feature space. To take advantage of this efficient scheme when working on continuous vector labeled graphs, we use a pyramid quantization strategy to determine a logarithmic number of discrete labelings that results in a representation that guarantees a multiplicative error bound on an approximation to the optimal partial matching. As a result, we approximate a graph representation with continuous or vector valued labels as a sequence of graphs discrete labels with increasingly granular discrete labels.

gkirtzou / wlpyramid Public

Notifications You must be signed in to change notification settings
Fork 0
Star 1

The Pyramid Quantized Weisfeiler-Lehman Graph Representation (WLpyramid) is a method that tackles the graph comparison and representation problem for continuous vector labeled graphs. Our algorithm considers statistics of subtree patterns with discrete labels based on the Weisfeiler-Lehman algorithm. The key advantage of these subtree statistics…

GPL-3.0 license

1 star 0 forks Branches Tags Activity

Star

Notifications

Branches Tags

Name		Name	Last commit message	Last commit date
Latest commit History 1 Commit
ToyExample		ToyExample
COPYING.txt		COPYING.txt
MultiDimensionalToyExample.mat		MultiDimensionalToyExample.mat
README.txt		README.txt
SVMMKcrossvalidate.m		SVMMKcrossvalidate.m
ToyExample.m		ToyExample.m
WLkernel.m		WLkernel.m
WLpyramid.m		WLpyramid.m
WLpyramidSimpleMKL.m		WLpyramidSimpleMKL.m

Repository files navigation

    %%%%%%%%%%%%%%%%%%%%%%%%% LINCENSE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    WLpyramid package is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    WLpyramid package is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU General Public License for more details.
    You should have received a copy of the GNU General Public License
    along with KsupportNormFMRICode. If not, see <http://www.gnu.org/licenses/>.
   
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DISCLAIMER %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    WLpyramid package contains an implementation of the pyramid quantized
    Weisfeiler-Lehman graph representation, which is code for pyramid
    quantization of the label space and code of Weisfeiler-Lehman kernel
    (file WLkernel.m), provided in the webpage ::
    http://www.di.ens.fr/~shervashidze/code.html
    It was tested in matlab version 20013 and provides no warranties.

    When using the provided WLpyramid package for scientific work
    please cite the following two papers
    1) fMRI Analysis with Sparse Weisfeiler-Lehman Graph Statistics.
    Gkirtzou Katerina, Honorio Jean, Samaras Dimitris, Goldstein Rita and
    Blaschko B. Matthew
    4th International Workshop on Machine Learning in Medical Imaging 
    (MLMI), 2013.

    2) The pyramid quantized Weisfeiler-Lehman graph representation.
    Gkirtzou Katerina and Blaschko B. Matthew
    Journal of Pattern Recognition, Under submission.