Wing-Chung Chan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 81-85). / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Multiresolution Signal Decomposition --- p.5 / Chapter 2.1 --- Introduction --- p.5 / Chapter 2.2 --- Laplacian Pyramid --- p.6 / Chapter 2.2.1 --- Gaussian Pyramid Generation --- p.7 / Chapter 2.2.2 --- Laplacian Pyramid Generation --- p.7 / Chapter 2.2.3 --- Decoding --- p.8 / Chapter 2.2.4 --- Limitation --- p.9 / Chapter 2.3 --- Multiresolution Transform --- p.9 / Chapter 2.3.1 --- Multiresolution Approximation of L2(R) --- p.9 / Chapter 2.3.2 --- Implementation of a Multiresolution Transform --- p.12 / Chapter 2.3.3 --- Orthogonal Wavelet Representation --- p.16 / Chapter 2.3.4 --- Implementation of an Orthogonal Wavelet Representation --- p.18 / Chapter 2.3.5 --- Signal Reconstruction --- p.21 / Chapter 3 --- Multiresolution Learning Method --- p.23 / Chapter 3.1 --- Introduction --- p.23 / Chapter 3.2 --- Input Vector Representation --- p.24 / Chapter 3.2.1 --- Representation at the resolution 1 --- p.24 / Chapter 3.2.2 --- Representation at the resolution 2j --- p.25 / Chapter 3.2.3 --- Border Problem --- p.26 / Chapter 3.3 --- Back-Propagation Network Architecture --- p.26 / Chapter 3.4 --- Training Procedure Strategy --- p.27 / Chapter 3.4.1 --- Sum Squared Error (SSE) --- p.28 / Chapter 3.4.2 --- Intermediate Stopping Criteria --- p.30 / Chapter 3.5 --- Connection Weight Transformation --- p.31 / Chapter 3.5.1 --- Weights between the Input and Hidden Layers --- p.31 / Chapter 3.5.2 --- Weights between the Hidden and Output Layers --- p.33 / Chapter 4 --- Simulations --- p.36 / Chapter 4.1 --- Introduction --- p.36 / Chapter 4.2 --- Choices of the Impulse Response h(n) --- p.36 / Chapter 4.3 --- XOR Problem --- p.39 / Chapter 4.3.1 --- Setting of Experiments --- p.39 / Chapter 4.3.2 --- Experimental Results --- p.41 / Chapter 4.4 --- Numeric Recognition Problem --- p.50 / Chapter 4.4.1 --- Setting of Experiments --- p.50 / Chapter 4.4.2 --- Experimental Results --- p.52 / Chapter 4.5 --- Discussions --- p.72 / Chapter 5 --- Conclusions --- p.75 / Chapter A --- Proof of Equation (4.9) --- p.77 / Chapter B --- Proof of Equation (4.11) --- p.79 / Bibliography --- p.81
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_318139 |
| Date | January 1994 |
| Contributors | Chan, Wing-chung., Chinese University of Hong Kong Graduate School. Division of Computer Science. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, x, 85 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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