Statistical Modeling of a Ligand Knowledge Base
Abstract
A range of different statistical models has been fitted to experimental data for the Tolman electronic parameter (TEP) based on a large set of calculated descriptors in a prototype ligand knowledge base (LKB) of phosphorus(III) donor ligands. The models have been fitted by ordinary least squares using subsets of descriptors, principal component regression, and partial least squares which use variables derived from the complete set of descriptors, least angle regression, and the least absolute shrinkage and selection operator. None of these methods is robust against outliers, so we also applied a robust estimation procedure to the linear regression model. Criteria for model evaluation and comparison have been discussed, highlighting the importance of resampling methods for assessing the robustness of models and the scope for making predictions in chemically intuitive models. For the ligands covered by this LKB, ordinary least squares models of descriptor subsets provide a good representation of the data, while partial least squares, principal component regression, and least angle regression models are less suitable for our dual aims of prediction and interpretation. A linear regression model with robustly fitted parameters achieves the best model performance over all classes of models fitted to TEP data, and the weightings assigned to ligands during the robust estimation procedure are chemically intuitive. The increased model complexity when compared to the ordinary least squares linear model is justified by the reduced influence of individual ligands on the model parameters and predictions of new ligands. Robust linear regression models therefore represent the best compromise for achieving statistical robustness in simple, chemically meaningful models.
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ML models, analysis of their key features, and dimensionality reduction represent important tools for building structure-property relationships and mapping chemical space.
“ML models, analysis of their key features (32,52), and dimensionality reduction (i.e., unsupervised learning) (53-56) represent important tools for building structure-property relationships and mapping chemical space (57).”
From Machine Learning for the Discovery, Design, and Engineering of Materials. (2022) · cites this paper as [54]
When most of the data variance can be explained by the first few principal components, they can act as a useful reduced feature set.
“When most of the data variance can be explained by the first few PCs, they can act as a useful reduced feature set (54,66,67).”
From Machine Learning for the Discovery, Design, and Engineering of Materials. (2022) · cites this paper as [54]
Fey and coworkers augmented sets of CSD ligands with quantum chemical descriptors to further distinguish their properties.
“Fey and coworkers (53,54) augmented sets of CSD ligands with quantum chemical descriptors to further distinguish their properties.”
From Machine Learning for the Discovery, Design, and Engineering of Materials. (2022) · cites this paper as [54]
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- Authors
- Mansson, R. A., Welsh, A. H., Fey, N., & Orpen, A. G.
- Affiliations
- University of Southampton (GB)
- University of Bristol (GB)
- Corresponding author
- Fey, Natalie
- Venue
- Journal of Chemical Information and Modeling
- Publisher
- American Chemical Society (ACS)
- Published
- 2006-11-01
- Volume
- 46
- Issue
- 6
- Pages
- 2591-2600
- ISSN
- 1549-9596 (ISSN-L)
- 1549-960X
- OpenAlex
- W2179093498
- Cited by
- 33
- References
- 29
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 4 · 2023: 3 · 2022: 1 · 2021: 2 · 2020: 2 · 2019: 3 · 2018: 1 · 2017: 1 · 2016: 1 · 2014: 1 · 2012: 1
- FWCI
- 2.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Chemical Information and Modeling (publishedVersion)
- PubMed (publishedVersion)
- ANU Open Research (Australian National University) (submittedVersion)
- Explore Bristol Research (submittedVersion)
- Bristol Research (University of Bristol) (submittedVersion)
- Funders
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Physical Sciences › Chemistry › Analytical Chemistry › Spectroscopy and Chemometric Analyses
- Keywords
- Tolman electronic parameter, molecular descriptors, robust linear regression, least angle regression, partial least squares, principal component regression, LASSO, model robustness, resampling
- MeSH terms
- Algorithms, Electrons, Ligands, Models, Chemical, Models, Theoretical, Phosphorus, Regression Analysis, Software, Models, Statistical, Linear Models, Nonlinear Dynamics, Knowledge Bases
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