dorsal/arxiv
View SchemaScalar-on-distribution regression via generalized odds with applications to accelerometry-assessed disability in multiple sclerosis
| Authors | Pratim Guha Niyogi, Muraleetharan Sanjayan, Kathryn C. Fitzgerald, Ellen M. Mowry, Vadim Zipunnikov |
|---|---|
| Categories | |
| ArXiv ID | 2601.09126vv1 |
| URL | https://arxiv.org/abs/2601.09126 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Distributional representations of data collected using digital health technologies have been shown to outperform scalar summaries for clinical prediction, with carefully quantified tail-behavior often driving the gains. Motivated by these findings, we propose a unified generalized odds (GO) framework that represents subject-specific distributions through ratios of probabilities over arbitrary regions of the sample space, subsuming hazard, survival, and residual life representations as special cases. We develop a scale-on-odds regression model using spline-based functional representations with penalization for efficient estimation. Applied to wrist-worn accelerometry data from the HEAL-MS study, generalized odds models yield improved prediction of Expanded Disability Status Scale (EDSS) scores compared to classical scalar and survival-based approaches, demonstrating the value of odds-based distributional covariates for modeling DHT data.
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"abstract": "Distributional representations of data collected using digital health technologies have been shown to outperform scalar summaries for clinical prediction, with carefully quantified tail-behavior often driving the gains. Motivated by these findings, we propose a unified generalized odds (GO) framework that represents subject-specific distributions through ratios of probabilities over arbitrary regions of the sample space, subsuming hazard, survival, and residual life representations as special cases. We develop a scale-on-odds regression model using spline-based functional representations with penalization for efficient estimation. Applied to wrist-worn accelerometry data from the HEAL-MS study, generalized odds models yield improved prediction of Expanded Disability Status Scale (EDSS) scores compared to classical scalar and survival-based approaches, demonstrating the value of odds-based distributional covariates for modeling DHT data.",
"arxiv_id": "2601.09126",
"authors": [
"Pratim Guha Niyogi",
"Muraleetharan Sanjayan",
"Kathryn C. Fitzgerald",
"Ellen M. Mowry",
"Vadim Zipunnikov"
],
"categories": [
"stat.ME"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Scalar-on-distribution regression via generalized odds with applications to accelerometry-assessed disability in multiple sclerosis",
"url": "https://arxiv.org/abs/2601.09126",
"version": "v1"
},
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