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Scalable Gaussian Processes and Bayesian Optimization with Application to Hyperparameter Tuning
Scalable Gaussian Processes and Bayesian Optimization with Application to Hyperparameter T...
Scalable Gaussian Processes and Bayesian Optimization with Application to Hyperparameter Tuning

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자료유형  
 학위논문 서양
최종처리일시  
20250211150940
ISBN  
9798382840833
DDC  
519
저자명  
Zhu, Xinran.
서명/저자  
Scalable Gaussian Processes and Bayesian Optimization with Application to Hyperparameter Tuning
발행사항  
[Sl] : Cornell University, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
211 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
주기사항  
Advisor: Bindel, David.
학위논문주기  
Thesis (Ph.D.)--Cornell University, 2024.
초록/해제  
요약This dissertation delves into the advanced realms of Gaussian Processes (GPs) and Bayesian Optimization (BO), presenting novel methodologies that enhance their performance and applicability. GPs, as a principled probabilistic approach, are powerful in modeling complex and noisy functions due to their non-parametric nature and capability for uncertainty quantification. However, exact GPs become intractable for large datasets since the computational cost scales cubically with the size of the dataset. In particular, this dissertation focuses on improving variational GPs, which is able to handle large-scale data by sparsifying the model via inducing points and approximating the posterior. Despite advances, variational GPs still may require many inducing points (and significant computational costs) to achieve good accuracy, a gap this dissertation aims to bridge.This dissertation also studies efficient computational methods for Bayesian transformed GPs (BTG), which is particularly useful when the Gaussian assumption is not satisfied and data is limited. Furthermore, the dissertation explores BO as a method for optimizing complex and expensive objective functions, with an emphasis on its application in hyperparameter tuning. By leveraging the probabilistic modeling strengths of GPs, BO can efficiently traverse the hyperparameter space, thus reducing the need for extensive model evaluations. Through the introduction of novel algorithms and methodologies, this research not only enhances the performance of BTG and variational GPs but also broadens the scope of BO in hyperparameter tuning.
일반주제명  
Applied mathematics
일반주제명  
Statistics
키워드  
Gaussian processes
키워드  
Bayesian optimization
키워드  
Hyperparameters
키워드  
Parameter tuning
기타저자  
Cornell University Applied Mathematics
기본자료저록  
Dissertations Abstracts International. 85-12B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)AAI30991702
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a519
■1001  ▼aZhu,  Xinran.▼0(orcid)0000-0003-4988-0734
■24510▼aScalable  Gaussian  Processes  and  Bayesian  Optimization  with  Application  to  Hyperparameter  Tuning
■260    ▼a[Sl]▼bCornell  University▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a211  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-12,  Section:  B.
■500    ▼aAdvisor:  Bindel,  David.
■5021  ▼aThesis  (Ph.D.)--Cornell  University,  2024.
■520    ▼aThis  dissertation  delves  into  the  advanced  realms  of  Gaussian  Processes  (GPs)  and  Bayesian  Optimization  (BO),  presenting  novel  methodologies  that  enhance  their  performance  and  applicability.  GPs,  as  a  principled  probabilistic  approach,  are  powerful  in  modeling  complex  and  noisy  functions  due  to  their  non-parametric  nature  and  capability  for  uncertainty  quantification.  However,  exact  GPs  become  intractable  for  large  datasets  since  the  computational  cost  scales  cubically  with  the  size  of  the  dataset.  In  particular,  this  dissertation  focuses  on  improving  variational  GPs,  which  is  able  to  handle  large-scale  data  by  sparsifying  the  model  via  inducing  points  and  approximating  the  posterior.  Despite  advances,  variational  GPs  still  may  require  many  inducing  points  (and  significant  computational  costs)  to  achieve  good  accuracy,  a  gap  this  dissertation  aims  to  bridge.This  dissertation  also  studies  efficient  computational  methods  for  Bayesian  transformed  GPs  (BTG),  which  is  particularly  useful  when  the  Gaussian  assumption  is  not  satisfied  and  data  is  limited.  Furthermore,  the  dissertation  explores  BO  as  a  method  for  optimizing  complex  and  expensive  objective  functions,  with  an  emphasis  on  its  application  in  hyperparameter  tuning.  By  leveraging  the  probabilistic  modeling  strengths  of  GPs,  BO  can  efficiently  traverse  the  hyperparameter  space,  thus  reducing  the  need  for  extensive  model  evaluations.  Through  the  introduction  of  novel  algorithms  and  methodologies,  this  research  not  only  enhances  the  performance  of  BTG  and  variational  GPs  but  also  broadens  the  scope  of  BO  in  hyperparameter  tuning.
■590    ▼aSchool  code:  0058.
■650  4▼aApplied  mathematics
■650  4▼aStatistics
■653    ▼aGaussian  processes
■653    ▼aBayesian  optimization
■653    ▼aHyperparameters
■653    ▼aParameter  tuning
■690    ▼a0364
■690    ▼a0463
■71020▼aCornell  University▼bApplied  Mathematics.
■7730  ▼tDissertations  Abstracts  International▼g85-12B.
■790    ▼a0058
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160236▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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