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Weak Formulation for Solving Inverse Problems in Reproducing Kernel Hilbert Spaces (With Applications to Learning Dynamical Systems) /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Weak Formulation for Solving Inverse Problems in Reproducing Kernel Hilbert Spaces (With Applications to Learning Dynamical Systems) /Victor William Rielly.
作者:	Rielly, Victor William,
面頁冊數:	1 electronic resource (196 pages)
附註:	Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
附註:	Advisors: Jedynak, Bruno Committee members: Lahouel, Kamel; Ovall, Jeffrey; Gopalakrishnan, Jay; Younes, Laurent; Rodriguez, Daniel Taylor.
Contained By:	Dissertations Abstracts International86-12B.
標題:	Applied mathematics.
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31995261
ISBN:	9798283168876

Weak Formulation for Solving Inverse Problems in Reproducing Kernel Hilbert Spaces (With Applications to Learning Dynamical Systems) /
Rielly, Victor William,

Weak Formulation for Solving Inverse Problems in Reproducing Kernel Hilbert Spaces (With Applications to Learning Dynamical Systems) /Victor William Rielly. - 1 electronic resource (196 pages)

Source: Dissertations Abstracts International, Volume: 86-12, Section: B.

We combine numerical and machine learning techniques to present a general framework for solving inverse problems using vector valued reproducing kernel Hilbert spaces in a variational formulation. We present this framework in two papers. In the first paper, we present an original state-of-the-art method derived in the context of our general framework for learning dynamical systems. In the second paper, we generalize the method from our first paper to arrive at the framework for solving inverse problems. Then we apply our general framework to the task of learning dynamical systems. In both papers we consider numerous applications of our methods and demonstrate the effectiveness of our methods with experiments on datasets from dynamical systems. Our experiments demonstrate our methods are both computationally efficient and provide compelling performance on the task of learning dynamical systems.

English

ISBN: 9798283168876Subjects--Topical Terms:

377601
Applied mathematics.
Subjects--Index Terms:

Differential equations

Weak Formulation for Solving Inverse Problems in Reproducing Kernel Hilbert Spaces (With Applications to Learning Dynamical Systems) /
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