Interpretable Causal Inference for Analyzing Wearable, Sensor, and Distributional Data

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Main Authors: Katta, Srikar, Parikh, Harsh, Rudin, Cynthia, Volfovsky, Alexander
Format: Preprint
Published: 2023
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author Katta, Srikar
Parikh, Harsh
Rudin, Cynthia
Volfovsky, Alexander
author_facet Katta, Srikar
Parikh, Harsh
Rudin, Cynthia
Volfovsky, Alexander
contents Many modern causal questions ask how treatments affect complex outcomes that are measured using wearable devices and sensors. Current analysis approaches require summarizing these data into scalar statistics (e.g., the mean), but these summaries can be misleading. For example, disparate distributions can have the same means, variances, and other statistics. Researchers can overcome the loss of information by instead representing the data as distributions. We develop an interpretable method for distributional data analysis that ensures trustworthy and robust decision-making: Analyzing Distributional Data via Matching After Learning to Stretch (ADD MALTS). We (i) provide analytical guarantees of the correctness of our estimation strategy, (ii) demonstrate via simulation that ADD MALTS outperforms other distributional data analysis methods at estimating treatment effects, and (iii) illustrate ADD MALTS' ability to verify whether there is enough cohesion between treatment and control units within subpopulations to trustworthily estimate treatment effects. We demonstrate ADD MALTS' utility by studying the effectiveness of continuous glucose monitors in mitigating diabetes risks.
format Preprint
id arxiv_https___arxiv_org_abs_2312_10569
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Interpretable Causal Inference for Analyzing Wearable, Sensor, and Distributional Data
Katta, Srikar
Parikh, Harsh
Rudin, Cynthia
Volfovsky, Alexander
Machine Learning
Signal Processing
Methodology
Many modern causal questions ask how treatments affect complex outcomes that are measured using wearable devices and sensors. Current analysis approaches require summarizing these data into scalar statistics (e.g., the mean), but these summaries can be misleading. For example, disparate distributions can have the same means, variances, and other statistics. Researchers can overcome the loss of information by instead representing the data as distributions. We develop an interpretable method for distributional data analysis that ensures trustworthy and robust decision-making: Analyzing Distributional Data via Matching After Learning to Stretch (ADD MALTS). We (i) provide analytical guarantees of the correctness of our estimation strategy, (ii) demonstrate via simulation that ADD MALTS outperforms other distributional data analysis methods at estimating treatment effects, and (iii) illustrate ADD MALTS' ability to verify whether there is enough cohesion between treatment and control units within subpopulations to trustworthily estimate treatment effects. We demonstrate ADD MALTS' utility by studying the effectiveness of continuous glucose monitors in mitigating diabetes risks.
title Interpretable Causal Inference for Analyzing Wearable, Sensor, and Distributional Data
topic Machine Learning
Signal Processing
Methodology
url https://arxiv.org/abs/2312.10569