Title of the talk: Geometric Methods in Image Processing, Networks, and Machine Learning
Abstract: Geometric methods have revolutionized the field of image processing and
image analysis. I will review some of these classical methods including
image snakes, total variation minimization, image segmentation methods
based on curve minimization, diffuse interface methods, and state of the
art fast computational algorithms that include ideas from compressive
sensing. Recently some of these concepts have shown promise for problems
in high dimensional data analysis and machine learning on graphs. I will
give an overview of some of the classical results from imaging and ongoing
work in high dimensional and network data.
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