Moran, Kelly R.; Dunson, David; Wheeler, Matthew W.; Herring, Amy H. Bayesian joint modeling of chemical structure and dose response curves. (English) Zbl 1478.62337 Ann. Appl. Stat. 15, No. 3, 1405-1430 (2021). Summary: Today there are approximately 85,000 chemicals regulated under the Toxic Substances Control Act, with around 2,000 new chemicals introduced each year. It is impossible to screen all of these chemicals for potential toxic effects, either via full organism in vivo studies or in vitro high-throughput screening (HTS) programs. Toxicologists face the challenge of choosing which chemicals to screen, and predicting the toxicity of as yet unscreened chemicals. Our goal is to describe how variation in chemical structure relates to variation in toxicological response to enable in silico toxicity characterization designed to meet both of these challenges. With our Bayesian partially Supervised Sparse and Smooth Factor Analysis \((\text{BS}^3 \text{FA})\) model, we learn a distance between chemicals targeted to toxicity, rather than one based on molecular structure alone. Our model also enables the prediction of chemical dose-response profiles based on chemical structure (i.e., without in vivo or in vitro testing) by taking advantage of a large database of chemicals that have already been tested for toxicity in HTS programs. We show superior simulation performance in distance learning and modest to large gains in predictive ability compared to existing methods. Results from the high-throughput screening data application elucidate the relationship between chemical structure and a toxicity-relevant high-throughput assay. An R package for \(\text{BS}^3\text{FA}\) is available online at https://github.com/kelrenmor/bs3fa. Cited in 1 Document MSC: 62P10 Applications of statistics to biology and medical sciences; meta analysis 62M20 Inference from stochastic processes and prediction 62H25 Factor analysis and principal components; correspondence analysis 62R10 Functional data analysis Keywords:dimension reduction; distance learning; functional prediction; high-throughput screening; toxicity; ToxCast; QSAR Software:R; GitHub; JIVE; bs3fa × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Barber, R. F., Reimherr, M. and Schill, T. (2017). The function-on-scalar LASSO with applications to longitudinal GWAS. Electron. J. Stat. 11 1351-1389. · Zbl 1362.62084 · doi:10.1214/17-EJS1260 [2] Bhattacharya, A. and Dunson, D. B. (2011). Sparse Bayesian infinite factor models. Biometrika 98 291-306. · Zbl 1215.62025 · doi:10.1093/biomet/asr013 [3] Canale, A. and Dunson, D. B. (2013). Nonparametric Bayes modelling of count processes. 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