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Statistical Approaches for Understanding Atmospheric Dynamics From Noisy Data
Statistical Approaches for Understanding Atmospheric Dynamics From Noisy Data
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202104959
- ISBN
- 9798293841486
- DDC
- 551.5
- 저자명
- Vishny, David N.
- 서명/저자
- Statistical Approaches for Understanding Atmospheric Dynamics From Noisy Data
- 발행사항
- [Sl] : University of California, San Diego, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 145 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
- 주기사항
- Advisor: Lutsko, Nicholas J.
- 학위논문주기
- Thesis (Ph.D.)--University of California, San Diego, 2025.
- 초록/해제
- 요약The chaotic nature of the atmosphere limits its predictability, while the sparsity and measurement uncertainty intrinsic to atmospheric observations limits our knowledge of the current atmospheric state. Our limited knowledge of current and future atmospheric states can be expressed through frameworks that combine probabilistic theories with statistical methods for learning from data. This thesis focuses on probabilistic and statistical frameworks for understanding atmospheric predictability and for data assimilation. Such frameworks should be built on accurate assumptions, though interpretability and computational efficiency are also important criteria. For example, if the framework's purpose is to understand mechanisms underlying the predictability of jet stream variability, then a complex deep learning model is probably too opaque, and a simple linear-Gaussian model might be preferable. In this thesis, I promote methods of probabilistic and statistical inference that relax overly-restrictive assumptions while retaining conceptual simplicity, computational speed, and ease of implementation. I apply such methods toward improving our understanding of midlatitude atmospheric predictability in Chapters 1 and 2, and toward improving the robustness of ensemble data assimilation in Chapter 3. In Chapter 1, I introduce a nonparametric technique for relating the autocorrelation of jet shifts to the momentum budget; in Chapter 2, I use autoregressive linear-Gaussian models to quantify lag-dependent feedbacks between eddies and the background flow, and to understand the importance of these feedbacks for midlatitude predictability. Both of these approaches avoid conventional oversimplifications, such as the notion that eddy-mean flow feedbacks are exclusively positive. In Chapter 3, I introduce a technique for improving covariance matrix estimates from limited samples that does not require assumptions about the matrix structure, allowing the technique to be used in situations where conventional covariance localization fails. The minimal assumptions, simplicity and computational efficiency of these statistical methods makes them attractive for a wide variety of applications.
- 일반주제명
- Atmospheric sciences
- 일반주제명
- Applied mathematics
- 일반주제명
- Statistics
- 키워드
- Nature
- 기타저자
- University of California, San Diego Scripps Institution of Oceanography
- 기본자료저록
- Dissertations Abstracts International. 87-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798293841486
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■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a551.5
■1001 ▼aVishny, David N.
■24510▼aStatistical Approaches for Understanding Atmospheric Dynamics From Noisy Data
■260 ▼a[Sl]▼bUniversity of California, San Diego▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a145 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-03, Section: B.
■500 ▼aAdvisor: Lutsko, Nicholas J.
■5021 ▼aThesis (Ph.D.)--University of California, San Diego, 2025.
■520 ▼aThe chaotic nature of the atmosphere limits its predictability, while the sparsity and measurement uncertainty intrinsic to atmospheric observations limits our knowledge of the current atmospheric state. Our limited knowledge of current and future atmospheric states can be expressed through frameworks that combine probabilistic theories with statistical methods for learning from data. This thesis focuses on probabilistic and statistical frameworks for understanding atmospheric predictability and for data assimilation. Such frameworks should be built on accurate assumptions, though interpretability and computational efficiency are also important criteria. For example, if the framework's purpose is to understand mechanisms underlying the predictability of jet stream variability, then a complex deep learning model is probably too opaque, and a simple linear-Gaussian model might be preferable. In this thesis, I promote methods of probabilistic and statistical inference that relax overly-restrictive assumptions while retaining conceptual simplicity, computational speed, and ease of implementation. I apply such methods toward improving our understanding of midlatitude atmospheric predictability in Chapters 1 and 2, and toward improving the robustness of ensemble data assimilation in Chapter 3. In Chapter 1, I introduce a nonparametric technique for relating the autocorrelation of jet shifts to the momentum budget; in Chapter 2, I use autoregressive linear-Gaussian models to quantify lag-dependent feedbacks between eddies and the background flow, and to understand the importance of these feedbacks for midlatitude predictability. Both of these approaches avoid conventional oversimplifications, such as the notion that eddy-mean flow feedbacks are exclusively positive. In Chapter 3, I introduce a technique for improving covariance matrix estimates from limited samples that does not require assumptions about the matrix structure, allowing the technique to be used in situations where conventional covariance localization fails. The minimal assumptions, simplicity and computational efficiency of these statistical methods makes them attractive for a wide variety of applications.
■590 ▼aSchool code: 0033.
■650 4▼aAtmospheric sciences
■650 4▼aApplied mathematics
■650 4▼aStatistics
■653 ▼aNature
■653 ▼aAtmospheric observations
■653 ▼aMidlatitude predictability
■690 ▼a0725
■690 ▼a0364
■690 ▼a0463
■71020▼aUniversity of California, San Diego▼bScripps Institution of Oceanography.
■7730 ▼tDissertations Abstracts International▼g87-03B.
■790 ▼a0033
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359271▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


