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Author
Miquel Ferrer; Ernest Valveny; F. Serratosa; K. Riesen; Horst Bunke
Title
Generalized Median Graph Computation by Means of Graph Embedding in Vector Spaces
Type
Journal Article
Year
2010
Publication
Pattern Recognition
Abbreviated Journal
PR
Volume
43
Issue
4
Pages
1642–1655
Keywords
Graph matching; Weighted mean of graphs; Median graph; Graph embedding; Vector spaces
Abstract
The median graph has been presented as a useful tool to represent a set of graphs. Nevertheless its computation is very complex and the existing algorithms are restricted to use limited amount of data. In this paper we propose a new approach for the computation of the median graph based on graph embedding. Graphs are embedded into a vector space and the median is computed in the vector domain. We have designed a procedure based on the weighted mean of a pair of graphs to go from the vector domain back to the graph domain in order to obtain a final approximation of the median graph. Experiments on three different databases containing large graphs show that we succeed to compute good approximations of the median graph. We have also applied the median graph to perform some basic classification tasks achieving reasonable good results. These experiments on real data open the door to the application of the median graph to a number of more complex machine learning algorithms where a representative of a set of graphs is needed.
Address
Corporate Author
Thesis
Publisher
Elsevier
Place of Publication
Editor
Language
Summary Language
Original Title
Series Editor
Series Title
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Series Issue
Edition
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ISBN
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Expedition
Conference
Notes
DAG
Approved
no
Call Number
DAG @ dag @ FVS2010
Serial
1294
Permanent link to this record
Author
Josep Llados; Dimosthenis Karatzas; Joan Mas; Gemma Sanchez
Title
A Generic Architecture for the Conversion of Document Collections into Semantically Annotated Digital Archives
Type
Journal
Year
2008
Publication
Journal of Universal Computer Science
Abbreviated Journal
Volume
14
Issue
18
Pages
2912–2935
Keywords
Median Graph, Graph Embedding, Graph Matching, Structural Pattern Recognition
Abstract
Address
Corporate Author
Thesis
Publisher
Place of Publication
Editor
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Summary Language
Original Title
Series Editor
Series Title
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Edition
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ISBN
Medium
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Notes
DAG
Approved
no
Call Number
DAG @ dag @ LKM2008
Serial
1142
Permanent link to this record
Author
Josep Llados; J. Lopez-Krahe; D. Archambault
Title
Special Issue on Information Technologies for Visually Impaired People
Type
Journal
Year
2007
Publication
Novatica
Abbreviated Journal
Volume
186
Issue
Pages
4-7
Keywords
Abstract
Address
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Thesis
Publisher
Guest Editors
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Summary Language
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Edition
ISSN
ISBN
Medium
Area
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Conference
Notes
DAG
Approved
no
Call Number
DAG @ dag @ LLA2007a
Serial
903
Permanent link to this record
Author
Josep Llados; Dorothea Blostein
Title
Special Issue on Graphics Recognition
Type
Journal
Year
2007
Publication
International Journal on Document Analysis and Recognition
Abbreviated Journal
IJDAR
Volume
9
Issue
1
Pages
1–2
Keywords
Abstract
Address
Corporate Author
Thesis
Publisher
Guest Editors
Place of Publication
Editor
Language
Summary Language
Original Title
Series Editor
Series Title
Abbreviated Series Title
Series Volume
Series Issue
Edition
ISSN
ISBN
Medium
Area
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Conference
Notes
DAG
Approved
no
Call Number
DAG @ dag @ LlB2007
Serial
781
Permanent link to this record
Author
Josep Llados; Gemma Sanchez
Title
Graph Matching vs. Graph Parsing in Graphics Recognition: A Combined Approach
Type
Journal
Year
2004
Publication
International Journal of Pattern Recognition and Artificial Intelligence
Abbreviated Journal
IJPRAI
Volume
18
Issue
3
Pages
455–473
Keywords
Abstract
Address
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Summary Language
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Notes
DAG; IF: 0.588
Approved
no
Call Number
DAG @ dag @ LlS2004
Serial
445
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