SmoothTensorDecompositionABPM

This is a repository for the implementation of the paper "Smooth Tensor Decomposition with Application to Ambulatory Blood Pressure Monitoring Data". The implementation depends on the SmoothHOOI R package.

Data used in HYPNOS Application are confidential. Synthetically generated ABPM data that mimics the characteristics of data analyzed in the paper is presented in Synthetic Example.

HYPNOS Application

This folder includes code for reproducing the results in Section 4 of the paper.

• 1a_Data Preprocessing.R: data preprocessing, including low-quality data detection and removal
• 1b_Tensor Generation.R: organization of original data into tensor structure
• 2_Hyperparameter Tuning.R: hyperparameter tuning, including rank reduction for parsimony
• 3_Algorithm Run.R: implementation of SmoothHOOI algorithm, with optimal hyperparameter applied
• 4a_Result Visualization.R: visualization of temporal components and estimated curves
• 4b_Chronotype Analysis.R: validation of the interpretation of the third temporal component (plot of g score vs sleep times)
• 4c_Regression.R: regression analysis
• 4d_Regression Interpretation.R: visualization of effect sizes and estimation of DBP, SBP, and HR values for different groups of subjects

Simulation Studies

This folder includes code for reproducing the results in Section 3 of the paper.

In Case 1-Fixed ranks and Case 2-Flexible ranks folders, the following abbreviations were used to name the files:

• missing_rate: random missingness
• missing_struc: structured missingness
• noise_level: noise level
• p: sample size

sim_analysis.R includes the code for plotting the figures related to simulation studies.

Synthetic Example

This folder presents a synthetic example that shows the workflow of this study and the usage of the SmoothHOOI R package.

• synthetic_raw.Rda: L, R, mean of G scores, covariance of G scores, and empirical residuals generated from HYPNOS Application, used to generate synthetic_data.Rda
• synthetic_data.Rda: synthetic data
• Synthetic Example.Rmd: code for this synthetic example
• Synthetic-Example.pdf: output for this synthetic example