1 code implementation • 30 Aug 2023 • Jiuzhou Wang, Eric F. Lock
To address variation architectures correctly and comprehensively for high-dimensional data across multiple sample sets (i. e., cohorts), we propose multiple augmented reduced rank regression (maRRR), a flexible matrix regression and factorization method to concurrently learn both covariate-driven and auxiliary structured variation.
2 code implementations • 29 Nov 2022 • Sarah Samorodnitsky, Chris H. Wendt, Eric F. Lock
We show via simulation that BSFP is competitive in recovering latent variation structure, as well as the importance of propagating uncertainty from the estimated factorization to prediction.
1 code implementation • 5 Aug 2022 • Jonathan Kim, Brian J. Sandri, Raghavendra B. Rao, Eric F. Lock
We develop a Bayesian approach to predict a continuous or binary outcome from data that are collected from multiple sources with a multi-way (i. e.. multidimensional tensor) structure.
1 code implementation • 11 Oct 2021 • Bin Guo, Lynn E. Eberly, Pierre-Gilles Henry, Christophe Lenglet, Eric F. Lock
We conducted extensive simulation studies, showing that our model is robust to the degree of sparsity and improves classification accuracy when the data have multiway structure.
1 code implementation • 26 Feb 2021 • Elise F. Palzer, Christine Wendt, Russell Bowler, Craig P. Hersh, Sandra E. Safo, Eric F. Lock
We propose a method called supervised joint and individual variation explained (sJIVE) that can simultaneously (1) identify shared (joint) and source-specific (individual) underlying structure and (2) build a linear prediction model for an outcome using these structures.
1 code implementation • 7 Oct 2020 • Eric F. Lock
In this article we show that DWD identifies the mode of a proper Bayesian posterior distribution, that results from a particular link function for the class probabilities and a shrinkage-inducing proper prior distribution on the coefficients.
2 code implementations • 7 Feb 2020 • Eric F. Lock, Jun Young Park, Katherine A. Hoadley
This builds on a growing literature for the factorization and decomposition of linked matrices, which has primarily focused on multiple matrices that are linked in one dimension (rows or columns) only.
1 code implementation • 9 Jun 2019 • Jun Young Park, Eric F. Lock
This is limiting for data that take the form of bidimensionally linked matrices (e. g., multiple cohorts measured on multiple platforms), which are increasingly common in large-scale biomedical studies.
1 code implementation • 31 Jan 2019 • Eric F. Lock, Dipankar Bandyopadhyay
We introduce a Bayesian nonparametric regression model for data with multiway (tensor) structure, motivated by an application to periodontal disease (PD) data.
1 code implementation • 29 Oct 2017 • Eric F. Lock, Nidhi Kohli, Maitreyee Bose
A random changepoint allows for individual differences in the transition time within each class.
Methodology
1 code implementation • 4 Jan 2017 • Eric F. Lock
We propose a framework for the linear prediction of a multi-way array (i. e., a tensor) from another multi-way array of arbitrary dimension, using the contracted tensor product.
1 code implementation • 11 Sep 2016 • Eric F. Lock, Gen Li
We describe a likelihood-based latent variable representation of the CP factorization, in which the latent variables are informed by additional covariates.
1 code implementation • 26 Jun 2016 • Tianmeng Lyu, Eric F. Lock, Lynn E. Eberly
However, their use is limited to applications where a single vector of features is measured for each subject.
1 code implementation • 20 Feb 2011 • Eric F. Lock, Katherine A. Hoadley, J. S. Marron, Andrew B. Nobel
In this paper we introduce Joint and Individual Variation Explained (JIVE), a general decomposition of variation for the integrated analysis of such data sets.