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2019 Asprey Lectures in Mathematics, Andrea Bertozzi, UCLA

Date: Tuesday, October 15, 2019

Time: 3pm

Location: Rockefeller Hall 300

TItle: Geometric Graph-based Methods for High Dimensional Data

Abstract:  Abstract: We present new methods for segmentation of large datasets with graph-based structure. The methods make parallels between geometric ideas in Euclidean space such as motion by mean curvature, ported to a graphical framework, and can be made rigorous. We show diverse examples including image processing applications such as image and video labeling and hyperspectral video segmentation, and machine learning and community detection in social networks, including modularity optimization posed as a graph total variation minimization problem.