Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-27459
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dc.contributor.authorKook, Lucas-
dc.contributor.authorSick, Beate-
dc.contributor.authorBühlmann, Peter-
dc.date.accessioned2023-03-27T15:28:47Z-
dc.date.available2023-03-27T15:28:47Z-
dc.date.issued2022-
dc.identifier.issn0960-3174de_CH
dc.identifier.issn1573-1375de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/27459-
dc.description.abstractPrediction models often fail if train and test data do not stem from the same distribution. Out-of-distribution (OOD) generalization to unseen, perturbed test data is a desirable but difficult-to-achieve property for prediction models and in general requires strong assumptions on the data generating process (DGP). In a causally inspired perspective on OOD generalization, the test data arise from a specific class of interventions on exogenous random variables of the DGP, called anchors. Anchor regression models, introduced by Rothenhäusler et al. (J R Stat Soc Ser B 83(2):215-246, 2021. 10.1111/rssb.12398), protect against distributional shifts in the test data by employing causal regularization. However, so far anchor regression has only been used with a squared-error loss which is inapplicable to common responses such as censored continuous or ordinal data. Here, we propose a distributional version of anchor regression which generalizes the method to potentially censored responses with at least an ordered sample space. To this end, we combine a flexible class of parametric transformation models for distributional regression with an appropriate causal regularizer under a more general notion of residuals. In an exemplary application and several simulation scenarios we demonstrate the extent to which OOD generalization is possible.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofStatistics and Computingde_CH
dc.rightshttp://creativecommons.org/licenses/by/4.0/de_CH
dc.subjectAnchor regressionde_CH
dc.subjectCovariate shiftde_CH
dc.subjectDiluted causalityde_CH
dc.subjectDistributional regressionde_CH
dc.subjectOut-of-distribution generalizationde_CH
dc.subjectTransformation modelsde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleDistributional anchor regressionde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Datenanalyse und Prozessdesign (IDP)de_CH
dc.identifier.doi10.1007/s11222-022-10097-zde_CH
dc.identifier.doi10.21256/zhaw-27459-
dc.identifier.pmid35582000de_CH
zhaw.funding.euNode_CH
zhaw.issue3de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.start39de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume32de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
Appears in collections:Publikationen School of Engineering

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Kook, L., Sick, B., & Bühlmann, P. (2022). Distributional anchor regression. Statistics and Computing, 32(3), 39. https://doi.org/10.1007/s11222-022-10097-z
Kook, L., Sick, B. and Bühlmann, P. (2022) ‘Distributional anchor regression’, Statistics and Computing, 32(3), p. 39. Available at: https://doi.org/10.1007/s11222-022-10097-z.
L. Kook, B. Sick, and P. Bühlmann, “Distributional anchor regression,” Statistics and Computing, vol. 32, no. 3, p. 39, 2022, doi: 10.1007/s11222-022-10097-z.
KOOK, Lucas, Beate SICK und Peter BÜHLMANN, 2022. Distributional anchor regression. Statistics and Computing. 2022. Bd. 32, Nr. 3, S. 39. DOI 10.1007/s11222-022-10097-z
Kook, Lucas, Beate Sick, and Peter Bühlmann. 2022. “Distributional Anchor Regression.” Statistics and Computing 32 (3): 39. https://doi.org/10.1007/s11222-022-10097-z.
Kook, Lucas, et al. “Distributional Anchor Regression.” Statistics and Computing, vol. 32, no. 3, 2022, p. 39, https://doi.org/10.1007/s11222-022-10097-z.


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