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Description:: Abstract of “Problems at the interface of high dimensional probability and random matrix theory”, by Xiaoyu Xie, Ph.D., Brown University, May 2024 In this thesis, …
Year:: 2024
Contributor:: Xie, Xiaoyu (creator); Ramanan, Kavita (Advisor); Dupuis, Paul (Reader); Paouris, Grigoris (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Applied mathematics; Probability
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Convex sets in high-dimensional linear spaces are classical objects of study that have long enjoyed rich connections with probability theory. Interest in these connections has …
Year:: 2017
Contributor:: Kim, Steven Soon (creator); Ramanan, Kavita (Advisor); Dupuis, Paul (Reader); Wang, Hui (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Applied mathematics; Limit theorems (Probability theory); Large deviations; Convex geometry
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The study of high-dimensional measures is an integral part of probability, statistics and asymptotic convex geometry, where the object of interest is the normalized volume …
Year:: 2022
Contributor:: Liao, Yin-Ting (creator); Ramanan, Kavita (Advisor); Dupuis, Paul (Reader); Paouris, Grigoris (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Convex geometry; Probabilities
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The growing computational demands of data science applications pose a significant challenge to machine learning and the applied sciences. These applications have relied mainly on …
Year:: 2022
Contributor:: Provencher Langlois, Gabriel (creator); Darbon, Jerome (Advisor); Dupuis, Paul (Reader); Geman, Stuart (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Applied mathematics
Collection:: Applied Mathematics; Theses and Dissertations

Full Record