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Best basis algorithms for tree-struc...

Ho, Hsin-Han.

Best basis algorithms for tree-structured Haar transforms and their application.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Best basis algorithms for tree-structured Haar transforms and their application.
作者:	Ho, Hsin-Han.
面頁冊數:	98 p.
附註:	Source: Dissertation Abstracts International, Volume: 71-05, Section: B, page: 3225.
附註:	Adviser: Sanjit K. Mitra.
Contained By:	Dissertation Abstracts International71-05B.
標題:	Engineering, Computer.
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3398795
ISBN:	9781109726756

Best basis algorithms for tree-structured Haar transforms and their application.
Ho, Hsin-Han.

Best basis algorithms for tree-structured Haar transforms and their application. - 98 p.

Source: Dissertation Abstracts International, Volume: 71-05, Section: B, page: 3225.

Thesis (Ph.D.)--University of California, Santa Barbara, 2010.

In this dissertation, we report our contributions on one-dimensional tree-structured Haar (TSH) transforms, with a focus on the development of a best basis search given an information cost function for the approximation of a discrete one-dimensional signal. We begin by going from single binary tree to multiple disjoint binary trees, which we call multiple TSH transforms. Next, we use a lattice structure to visualize hierarchical dependencies among the dictionary of discrete TSH functions in multiple TSH transforms. We also outline a new, space-efficient implementation of fast transform computation based on generating a parameter table fully specifying the butterfly network. We then provide best basis algorithms for TSH transforms and multiple TSH transforms, respectively. Both algorithms are later combined with greedy approximation to form a heuristic solution for B-term approximation under normalized &ell;p-norm error metric and normalized &ell; p-norm relative error metric with sanity bound. Lastly, we mention one potential application of our heuristic solution and provide performance comparisons with state-of-the-art algorithms.

ISBN: 9781109726756Subjects--Topical Terms:

384375
Engineering, Computer.

Best basis algorithms for tree-structured Haar transforms and their application.
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520 $a In this dissertation, we report our contributions on one-dimensional tree-structured Haar (TSH) transforms, with a focus on the development of a best basis search given an information cost function for the approximation of a discrete one-dimensional signal. We begin by going from single binary tree to multiple disjoint binary trees, which we call multiple TSH transforms. Next, we use a lattice structure to visualize hierarchical dependencies among the dictionary of discrete TSH functions in multiple TSH transforms. We also outline a new, space-efficient implementation of fast transform computation based on generating a parameter table fully specifying the butterfly network. We then provide best basis algorithms for TSH transforms and multiple TSH transforms, respectively. Both algorithms are later combined with greedy approximation to form a heuristic solution for B-term approximation under normalized &ell;p-norm error metric and normalized &ell; p-norm relative error metric with sanity bound. Lastly, we mention one potential application of our heuristic solution and provide performance comparisons with state-of-the-art algorithms.
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