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Kernels and Geometry of Machine Lear...
~
Moeller, John.
Kernels and Geometry of Machine Learning.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Kernels and Geometry of Machine Learning./
作者:
Moeller, John.
面頁冊數:
1 online resource (91 pages)
附註:
Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
標題:
Computer science. -
電子資源:
click for full text (PQDT)
ISBN:
9781369775273
Kernels and Geometry of Machine Learning.
Moeller, John.
Kernels and Geometry of Machine Learning.
- 1 online resource (91 pages)
Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
Thesis (Ph.D.)--The University of Utah, 2017.
Includes bibliographical references
The contributions in the area of kernelized learning techniques have expanded beyond a few basic kernel functions to general kernel functions that could be learned along with the rest of a statistical learning model. This dissertation aims to explore various directions in kernel learning, a setting where we can learn not only a model, but also glean information about the geometry of the data from which we learn, by learning a positive definite (p.d.) kernel. Throughout, we can exploit several properties of kernels that relate to their geometry --- a facet that is often overlooked.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9781369775273Subjects--Topical Terms:
573171
Computer science.
Index Terms--Genre/Form:
554714
Electronic books.
Kernels and Geometry of Machine Learning.
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Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
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Adviser: Suresh Venkatasubramanian.
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Thesis (Ph.D.)--The University of Utah, 2017.
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The contributions in the area of kernelized learning techniques have expanded beyond a few basic kernel functions to general kernel functions that could be learned along with the rest of a statistical learning model. This dissertation aims to explore various directions in kernel learning, a setting where we can learn not only a model, but also glean information about the geometry of the data from which we learn, by learning a positive definite (p.d.) kernel. Throughout, we can exploit several properties of kernels that relate to their geometry --- a facet that is often overlooked.
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We revisit some of the necessary mathematical background required to understand kernel learning in context, such as reproducing kernel Hilbert spaces (RKHSs), the reproducing property, the representer theorem, etc. We then cover kernelized learning with support vector machines (SVMs), multiple kernel learning (MKL), and localized kernel learning (LKL). We move on to Bochner's theorem, a tool vital to one of the kernel learning areas we explore.
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The main portion of the thesis is divided into two parts: (1) kernel learning with SVMs, a.k.a. MKL, and (2) learning based on Bochner's theorem. In the first part, we present efficient, accurate, and scalable algorithms based on the SVM, one that exploits multiplicative weight updates (MWU), and another that exploits local geometry. In the second part, we use Bochner's theorem to incorporate a kernel into a neural network and discover that kernel learning in this fashion, continuous kernel learning (CKL), is superior even to MKL.
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click for full text (PQDT)
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