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Autori principali: Zhang, Boyang, Nyquist, Sarah, Jones, Andrew, Engelhardt, Barbara E., Li, Didong
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2401.03106
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author Zhang, Boyang
Nyquist, Sarah
Jones, Andrew
Engelhardt, Barbara E.
Li, Didong
author_facet Zhang, Boyang
Nyquist, Sarah
Jones, Andrew
Engelhardt, Barbara E.
Li, Didong
contents Contrastive dimension reduction methods have been developed for case-control study data to identify variation that is enriched in the foreground (case) data X relative to the background (control) data Y. Here, we develop contrastive regression for the setting when there is a response variable r associated with each foreground observation. This situation occurs frequently when, for example, the unaffected controls do not have a disease grade or intervention dosage but the affected cases have a disease grade or intervention dosage, as in autism severity, solid tumors stages, polyp sizes, or warfarin dosages. Our contrastive regression model captures shared low-dimensional variation between the predictors in the cases and control groups, and then explains the case-specific response variables through the variance that remains in the predictors after shared variation is removed. We show that, in one single-nucleus RNA sequencing dataset on autism severity in postmortem brain samples from donors with and without autism and in another single-cell RNA sequencing dataset on cellular differentiation in chronic rhinosinusitis with and without nasal polyps, our contrastive linear regression performs feature ranking and identifies biologically-informative predictors associated with response that cannot be identified using other approaches
format Preprint
id arxiv_https___arxiv_org_abs_2401_03106
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Contrastive linear regression
Zhang, Boyang
Nyquist, Sarah
Jones, Andrew
Engelhardt, Barbara E.
Li, Didong
Methodology
Contrastive dimension reduction methods have been developed for case-control study data to identify variation that is enriched in the foreground (case) data X relative to the background (control) data Y. Here, we develop contrastive regression for the setting when there is a response variable r associated with each foreground observation. This situation occurs frequently when, for example, the unaffected controls do not have a disease grade or intervention dosage but the affected cases have a disease grade or intervention dosage, as in autism severity, solid tumors stages, polyp sizes, or warfarin dosages. Our contrastive regression model captures shared low-dimensional variation between the predictors in the cases and control groups, and then explains the case-specific response variables through the variance that remains in the predictors after shared variation is removed. We show that, in one single-nucleus RNA sequencing dataset on autism severity in postmortem brain samples from donors with and without autism and in another single-cell RNA sequencing dataset on cellular differentiation in chronic rhinosinusitis with and without nasal polyps, our contrastive linear regression performs feature ranking and identifies biologically-informative predictors associated with response that cannot be identified using other approaches
title Contrastive linear regression
topic Methodology
url https://arxiv.org/abs/2401.03106