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Subject offerings of new and developing areas of knowledge in electrical and computer engineering intended to augment the existing curriculum. See Class Schedule or departmental course information for topics and prerequisites. Course Information: May be repeated in the same or separate terms if topics vary.

High Dimensional Geometric Data Analysis. This course aims to establish the mathematical foundation of many recent algorithms for tasks such as organization and visualization of data clouds, dimensionality reduction, clustering, and regression. Data analysis is an interdisciplinary field. It combines mathematics (both pure and applied), computer science (machine learning, theoretical CS, AI, computer vision), electrical engineering (signal and image processing), statistics, structural biology, neuroscience, computational biology (microarray data for gene expression), biophysics and chemical engineering (molecular dynamics simulations), and more. We will focus on a few particular methods and explain what they are good for, what are their limitations, what is the underlying math, in order to develop a good sense of when to apply them and develop a sound basis for designing new data analysis algorithms. The course will have three main sections: 1) high dimensional probability, 2) geometr