Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian Factor Analysis for Inference on Interactions   This article is motivated by the problem of inference on interactions among
chemical exposures impacting human health outcomes. Chemicals often co-occur in
the environment or in synthetic mixtures and as a result exposure levels can be
highly correlated. We propose a latent factor joint model, which includes
shared factors in both the predictor and response components while assuming
conditional independence. By including a quadratic regression in the latent
variables in the response component, we induce flexible dimension reduction in
characterizing main effects and interactions. We propose a Bayesian approach to
inference under this Factor analysis for INteractions (FIN) framework. Through
appropriate modifications of the factor modeling structure, FIN can accommodate
higher order interactions and multivariate outcomes. We provide theory on
posterior consistency and the impact of misspecifying the number of factors. We
evaluate the performance using a simulation study and data from the National
Health and Nutrition Examination Survey (NHANES). Code is available on GitHub.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an