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Gaussian Processes in Semi-Parametric Models.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Gaussian Processes in Semi-Parametric Models./
作者:
Thompson, Marten Lee.
面頁冊數:
1 online resource (215 pages)
附註:
Source: Dissertations Abstracts International, Volume: 85-01, Section: B.
Contained By:
Dissertations Abstracts International85-01B.
標題:
Applied mathematics. -
電子資源:
click for full text (PQDT)
ISBN:
9798379952327
Gaussian Processes in Semi-Parametric Models.
Thompson, Marten Lee.
Gaussian Processes in Semi-Parametric Models.
- 1 online resource (215 pages)
Source: Dissertations Abstracts International, Volume: 85-01, Section: B.
Thesis (Ph.D.)--University of Minnesota, 2023.
Includes bibliographical references
Gaussian processes provide a flexible, non-parametric prior for function estimation. We investigate the applicability of Gaussian processes in semi-parametric models to relax otherwise restrictive assumptions. Our first application of this perspective is climate time series, where we see both the advantage of Gaussian processes in semi-parametric models as well as their computational restrictions. Next, we use Gaussian processes to relax the assumed error distribution of traditional small area models. Finally, we turn our attention to stripping away assumptions on Gaussian processes themselves: can data be used to inform their parameterization? We detail our work on each of these problems and provide software for future researchers.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024
Mode of access: World Wide Web
ISBN: 9798379952327Subjects--Topical Terms:
1069907
Applied mathematics.
Subjects--Index Terms:
BayesianIndex Terms--Genre/Form:
554714
Electronic books.
Gaussian Processes in Semi-Parametric Models.
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Source: Dissertations Abstracts International, Volume: 85-01, Section: B.
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Gaussian processes provide a flexible, non-parametric prior for function estimation. We investigate the applicability of Gaussian processes in semi-parametric models to relax otherwise restrictive assumptions. Our first application of this perspective is climate time series, where we see both the advantage of Gaussian processes in semi-parametric models as well as their computational restrictions. Next, we use Gaussian processes to relax the assumed error distribution of traditional small area models. Finally, we turn our attention to stripping away assumptions on Gaussian processes themselves: can data be used to inform their parameterization? We detail our work on each of these problems and provide software for future researchers.
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click for full text (PQDT)
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