Browsing by Author "Cook, Brendan"

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    Two Applications of PDEs in Data Science
    (2022-05) Cook, Brendan
    In this thesis we explore two applications of partial differential equations to data science. In Part I we establish a convergence rate for the continuum limit of the nondominated sorting process. In Part II we show how the Poisson Equation can form the basis for "Poisson Learning," a new graph-based semi-supervised machine learning algorithm which excels at low label rates.