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Main Authors: Agrahari, Gyaneshwar, Bist, Kiran, Pandey, Monika, Kapita, Jacob, James, Zachary, Knox, Jackson, Heymsfield, Steven, Ramirez, Sophia, Wolenski, Peter, Drenska, Nadejda
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.14815
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author Agrahari, Gyaneshwar
Bist, Kiran
Pandey, Monika
Kapita, Jacob
James, Zachary
Knox, Jackson
Heymsfield, Steven
Ramirez, Sophia
Wolenski, Peter
Drenska, Nadejda
author_facet Agrahari, Gyaneshwar
Bist, Kiran
Pandey, Monika
Kapita, Jacob
James, Zachary
Knox, Jackson
Heymsfield, Steven
Ramirez, Sophia
Wolenski, Peter
Drenska, Nadejda
contents Accurate prediction of anthropometric body composition variables, such as Appendicular Lean Mass (ALM), Body Fat Percentage (BFP), and Bone Mineral Density (BMD), is essential for early diagnosis of several chronic diseases. Currently, researchers rely on Dual-Energy X-ray Absorptiometry (DXA) scans to measure these metrics; however, DXA scans are costly and time-consuming. This work proposes an alternative to DXA scans by applying statistical and machine learning models on biomarkers (height, volume, left calf circumference, etc) obtained from 3D optical images. The dataset consists of 847 patients and was sourced from Pennington Biomedical Research Center. Extracting patients' data in healthcare faces many technical challenges and legal restrictions. However, most supervised machine learning algorithms are inherently data-intensive, requiring a large amount of training data. To overcome these limitations, we implemented a semi-supervised model, the $p$-Laplacian regression model. This paper is the first to demonstrate the application of a $p$-Laplacian model for regression. Our $p$-Laplacian model yielded errors of $\sim13\%$ for ALM, $\sim10\%$ for BMD, and $\sim20\%$ for BFP when the training data accounted for 10 percent of all data. Among the supervised algorithms we implemented, Support Vector Regression (SVR) performed the best for ALM and BMD, yielding errors of $\sim 8\%$ for both, while Least Squares SVR performed the best for BFP with $\sim 11\%$ error when trained on 80 percent of the data. Our findings position the $p$-Laplacian model as a promising tool for healthcare applications, particularly in a data-constrained environment.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14815
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Predicting Anthropometric Body Composition Variables Using 3D Optical Imaging and Machine Learning
Agrahari, Gyaneshwar
Bist, Kiran
Pandey, Monika
Kapita, Jacob
James, Zachary
Knox, Jackson
Heymsfield, Steven
Ramirez, Sophia
Wolenski, Peter
Drenska, Nadejda
Machine Learning
68T05, 68Q32 (Primary), 35D40, 65N06, 92C50, 62P10 (Secondary)
I.2.6; I.5.1; I.5.4; J.3; I.2.1; I.4.9
Accurate prediction of anthropometric body composition variables, such as Appendicular Lean Mass (ALM), Body Fat Percentage (BFP), and Bone Mineral Density (BMD), is essential for early diagnosis of several chronic diseases. Currently, researchers rely on Dual-Energy X-ray Absorptiometry (DXA) scans to measure these metrics; however, DXA scans are costly and time-consuming. This work proposes an alternative to DXA scans by applying statistical and machine learning models on biomarkers (height, volume, left calf circumference, etc) obtained from 3D optical images. The dataset consists of 847 patients and was sourced from Pennington Biomedical Research Center. Extracting patients' data in healthcare faces many technical challenges and legal restrictions. However, most supervised machine learning algorithms are inherently data-intensive, requiring a large amount of training data. To overcome these limitations, we implemented a semi-supervised model, the $p$-Laplacian regression model. This paper is the first to demonstrate the application of a $p$-Laplacian model for regression. Our $p$-Laplacian model yielded errors of $\sim13\%$ for ALM, $\sim10\%$ for BMD, and $\sim20\%$ for BFP when the training data accounted for 10 percent of all data. Among the supervised algorithms we implemented, Support Vector Regression (SVR) performed the best for ALM and BMD, yielding errors of $\sim 8\%$ for both, while Least Squares SVR performed the best for BFP with $\sim 11\%$ error when trained on 80 percent of the data. Our findings position the $p$-Laplacian model as a promising tool for healthcare applications, particularly in a data-constrained environment.
title Predicting Anthropometric Body Composition Variables Using 3D Optical Imaging and Machine Learning
topic Machine Learning
68T05, 68Q32 (Primary), 35D40, 65N06, 92C50, 62P10 (Secondary)
I.2.6; I.5.1; I.5.4; J.3; I.2.1; I.4.9
url https://arxiv.org/abs/2506.14815