2009
DOI: 10.3390/ijms10051978
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Current Mathematical Methods Used in QSAR/QSPR Studies

Abstract: This paper gives an overview of the mathematical methods currently used in quantitative structure-activity/property relationship (QASR/QSPR) studies. Recently, the mathematical methods applied to the regression of QASR/QSPR models are developing very fast, and new methods, such as Gene Expression Programming (GEP), Project Pursuit Regression (PPR) and Local Lazy Regression (LLR) have appeared on the QASR/QSPR stage. At the same time, the earlier methods, including Multiple Linear Regression (MLR), Partial Leas… Show more

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Cited by 182 publications
(91 citation statements)
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“…New descriptors have been introduced, including topological indices [1], group bond contributions [2], and a wide range of classical or quantum descriptors [3,4]. On the other hand, in addition to linear models, neural networks [5] and related artificial intelligence approaches [6], as well as support vector machines [7] and other learning methods [8] are now in use to predict complex properties.…”
Section: Introductionmentioning
confidence: 99%
“…New descriptors have been introduced, including topological indices [1], group bond contributions [2], and a wide range of classical or quantum descriptors [3,4]. On the other hand, in addition to linear models, neural networks [5] and related artificial intelligence approaches [6], as well as support vector machines [7] and other learning methods [8] are now in use to predict complex properties.…”
Section: Introductionmentioning
confidence: 99%
“…Recent advances in statistical, algorithmic and chemoinformatics in relation to LBDD have been discussed elsewhere in depth 39-42 . This chapter will briefly overview LBDD followed by a detailed presentation of new developments in the areas of conformational sampling and force fields (FF) with respect to LBDD.…”
Section: Introductionmentioning
confidence: 99%
“…Classical methods, such as single or multiple linear regression (MLR), partial least squares (PLS), neural networks (NN), and support vector machine (SVM), are being upgraded by improving the kernel algorithms or by combining them with other methods, including novel approaches, such as gene expression programming (GEP), project pursuit regression (PPR), and local lazy regression (LLR) [28].…”
Section: Regression Analysismentioning
confidence: 99%