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Graph-Based Models and Transforms fo...

Egilmez, Hilmi Enes.

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Graph-Based Models and Transforms for Signal/data Processing With Applications to Video Coding.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Graph-Based Models and Transforms for Signal/data Processing With Applications to Video Coding./
Author:	Egilmez, Hilmi Enes.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	135 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-06(E), Section: B.
Contained By:	Dissertation Abstracts International79-06B(E).
Subject:	Electrical engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10820433

Graph-Based Models and Transforms for Signal/data Processing With Applications to Video Coding.
Egilmez, Hilmi Enes.

Graph-Based Models and Transforms for Signal/data Processing With Applications to Video Coding. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 135 p.

Source: Dissertation Abstracts International, Volume: 79-06(E), Section: B.

Thesis (Ph.D.)--University of Southern California, 2017.

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. Particularly in signal processing, machine learning and statistics, structured modeling of signals and data by means of graphs is essential for a broad number of applications. In this thesis, we develop novel techniques to build graph-based models and transforms for signal/data processing, where the models and transforms of interest are defined based on graph Laplacian matrices. For graph-based modeling, various graph Laplacian estimation problems are studied. Firstly, we consider estimation of three types of graph Laplacian matrices from data and develop efficient algorithms by incorporating associated Laplacian and structural constraints. Then, we propose a graph signal processing framework to learn graph-based models from classes of filtered signals, defined based on functions of graph Laplacians. The proposed approach can also be applied to learn diffusion (heat) kernels, which are popular in various fields for modeling diffusion processes. Additionally, we study the problem of multigraph combining, which is estimating a single optimized graph from multiple graphs, and develop an algorithm. Finally, we propose graph-based transforms for video coding and develop two different techniques, based on graph learning and image edge adaptation, to design orthogonal transforms capturing the statistical characteristics of video signals. Theoretical justifications and comprehensive experimental results for the proposed methods are presented.Subjects--Topical Terms:

649834
Electrical engineering.

Graph-Based Models and Transforms for Signal/data Processing With Applications to Video Coding.
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300 $a 135 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-06(E), Section: B.
500 $a Adviser: Antonio Ortega.
502 $a Thesis (Ph.D.)--University of Southern California, 2017.
520 $a Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. Particularly in signal processing, machine learning and statistics, structured modeling of signals and data by means of graphs is essential for a broad number of applications. In this thesis, we develop novel techniques to build graph-based models and transforms for signal/data processing, where the models and transforms of interest are defined based on graph Laplacian matrices. For graph-based modeling, various graph Laplacian estimation problems are studied. Firstly, we consider estimation of three types of graph Laplacian matrices from data and develop efficient algorithms by incorporating associated Laplacian and structural constraints. Then, we propose a graph signal processing framework to learn graph-based models from classes of filtered signals, defined based on functions of graph Laplacians. The proposed approach can also be applied to learn diffusion (heat) kernels, which are popular in various fields for modeling diffusion processes. Additionally, we study the problem of multigraph combining, which is estimating a single optimized graph from multiple graphs, and develop an algorithm. Finally, we propose graph-based transforms for video coding and develop two different techniques, based on graph learning and image edge adaptation, to design orthogonal transforms capturing the statistical characteristics of video signals. Theoretical justifications and comprehensive experimental results for the proposed methods are presented.
590 $a School code: 0208.
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