Theses  Mathematics
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Combinatorial incremental problems
(Massachusetts Institute of Technology, 2018)We study the class of Incremental Combinatorial optimization problems, where solutions are evaluated as they are built, as opposed to only measuring the performance of the final solution. Even though many of these problems ... 
Largescale optimization Methods for datascience applications
(Massachusetts Institute of Technology, 2019)In this thesis, we present several contributions of large scale optimization methods with the applications in data science and machine learning. In the first part, we present new computational methods and associated ... 
Point processes of representation theoretic origin
(Massachusetts Institute of Technology, 2019)There are two parts to this thesis. In the first part we compute the correlation functions of the 4parameter family of BC type Zmeasures. The result is given explicitly in terms of Gauss's hypergeometric function. The ...