Thesis
Random convex hulls and kernel quadrature
- Abstract:
-
Discretization of probability measures is ubiquitous in the field of applied mathematics, from classical numerical integration to data compression and algorithmic acceleration in machine learning. In this thesis, starting from generalized Tchakaloff-type cubature, we investigate random convex hulls and kernel quadrature.
In the first two chapters after the introduction, we investigate the probability that a given vector θ is contained in the convex hull of independent copies of a r...
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Authors
Contributors
+ Lyons, T
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
ORCID:
0000-0002-9972-2809
+ Oberhauser, H
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
+ Nakatsukasa, Y
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Examiner
+ Oates, C
Institution:
Newcastle University
Role:
Examiner
Funding
+ Toyota Physical and Chemical Research Institute
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Funder identifier:
https://ror.org/03q75vf28
Programme:
Toyota Riken Overseas Scholarship
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- DOI:
Item Description
- Language:
-
English
- Keywords:
- Subjects:
- Deposit date:
-
2024-01-19
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Terms of use
- Copyright holder:
- Hayakawa, S
- Copyright date:
- 2023
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