Title
Classification of graphical data made easy
Abstract
The classification of graphical patterns (i.e., data that are represented in the form of labeled graphs) is a problem that has been receiving considerable attention by the machine learning community in recent years. Solutions to the problem would be valuable to a number of applications, ranging from bioinformatics and cheminformatics to Web-related tasks, structural pattern recognition for image processing, etc. Several approaches have been proposed so far, e.g. inductive logic programming and kernels for graphs. Connectionist models were introduced too, namely recursive neural nets (RNN) and graph neural nets (GNN). Although their theoretical properties are sound and thoroughly understood, RNNs and GNNs suffer some drawbacks that may limit their application. This paper introduces an alternative connectionist framework for learning discriminant functions over graphical data. The approach is simple and suitable to maximum-a-posteriori classification of broad families of graphs, and overcomes some limitations of RNNs and GNNs. The idea is to describe a graph as an algebraic relation, i.e. as a subset of the Cartesian product. The class-posterior probabilities given the relation are then reduced (under an iid assumption) to products of probabilistic quantities, estimated using a multilayer perceptron. Empirical evidence shows that, in spite of its simplicity, the technique compares favorably with established approaches on several tasks involving different graphical representations of the data. In particular, in the classification of molecules from the Mutagenesis dataset (friendly+unfriendly) the best result to date (93.91%) is obtained.
Year
DOI
Venue
2009
10.1016/j.neucom.2008.07.021
Neurocomputing
Keywords
Field
DocType
cartesian product,connectionist probability estimation,graphical data,mutagenesis dataset,different graphical representation,connectionist model,graph neural net,graph neural network,web-related task,structured pattern recognition,algebraic relation,recursive neural net,relational learning,molecule classification,graphical pattern,pattern recognition,neural network,neural net,discriminant function,empirical evidence,image processing,multilayer perceptron,machine learning,posterior probability
Statistical relational learning,Computer science,Theoretical computer science,Multilayer perceptron,Artificial intelligence,Probabilistic logic,Artificial neural network,Recursion,Connectionism,Cheminformatics,Inductive logic programming,Pattern recognition,Machine learning
Journal
Volume
Issue
ISSN
73
1-3
Neurocomputing
Citations 
PageRank 
References 
2
0.36
25
Authors
2
Name
Order
Citations
PageRank
Edmondo Trentin128629.25
Ernesto Di Iorio2155.01