Portland State University. Department of Mathematics and Statistics
Mau Nam Nguyen
Date of Award
Bachelor of Science (B.S.) in Mathematics and University Honors
Mathematics and Statistics
Image processing, Machine learning, Image reconstruction, Nonconvex programming, Mathematical optimization
This thesis explores image dictionary learning via non-convex (difference of convex, DC) programming and its applications to image reconstruction. First, the image reconstruction problem is detailed and solutions are presented. Each such solution requires an image dictionary to be specified directly or to be learned via non-convex programming. The solutions explored are the DCA (DC algorithm) and the boosted DCA. These various forms of dictionary learning are then compared on the basis of both image reconstruction accuracy and number of iterations required to converge.
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Hicks, Lewis M., "Dictionary Learning for Image Reconstruction via Numerical Non-convex Optimization Methods" (2020). University Honors Theses. Paper 837.