An analysis of the redundancy of graph invariants used in chemoinformatics

作者: Boris Hollas

DOI: 10.1016/J.DAM.2006.04.002

关键词: Molecular descriptorRedundancy (information theory)Topological indexVertex (geometry)CombinatoricsInterpretation (model theory)Distribution (mathematics)Discrete mathematicsMathematicsArtificial neural networkRandom graph

摘要: Molecular descriptors play a decisive role for evaluating large virtual libraries and to predict biological or physicochemical properties of compounds. Topological indices are an important class molecular descriptors, based on the graph molecule. A major problem is that many topological considerably correlated, impeding data analysis interpretation. Also, size-dependent variance adversely affects processing by neural nets. Using random graphs as model molecules, we examine correlations abstract index with independent vertex properties. We consider making no assumptions distribution fixed number vertices in which edges selected independently. show may be strongly correlated even On other hand, uncorrelated constant Θ(1) can easily obtained within respective models.

参考文章(24)
Boris Hollas, An Analysis of the Autocorrelation Descriptor for Molecules Journal of Mathematical Chemistry. ,vol. 33, pp. 91- 101 ,(2003) , 10.1023/A:1023247831238
Laurene V. Fausett, Fundamentals of neural networks ,(1993)
Mati. Karelson, Molecular descriptors in QSAR/QSPR ,(2000)
Peter C. Jurs, Quantitative Structure–Property Relationships (QSPR) Encyclopedia of Computational Chemistry. pp. 1314- 1335 ,(2002) , 10.1002/0470845015.CQA007M
W. Patrick Walters, Matthew T. Stahl, Mark A. Murcko, High‐throughput ‘Virtual’ Chemistry Encyclopedia of Computational Chemistry. ,(2002) , 10.1002/0470845015.CDA027
Valerie J. Gillet, Andrew R. Leach, An Introduction to Chemoinformatics ,(2008)
Roberto Todeschini, Viviana Consonni, Handbook of Molecular Descriptors ,(2002)
Richard A Olshen, Charles J Stone, Leo Breiman, Jerome H Friedman, Classification and regression trees ,(1983)