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Randomized Algorithms for Mining Massive Matrices: Design & Implementation at Terascale and Beyond

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서명/저자사항Randomized Algorithms for Mining Massive Matrices: Design & Implementation at Terascale and Beyond.
개인저자Iyer, Chander Jayaraman.
단체저자명Rensselaer Polytechnic Institute. Computer Science.
발행사항[S.l.]: Rensselaer Polytechnic Institute., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항120 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438206786
학위논문주기Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Advisers: Christopher D. Carothers
요약Modern technological advancements and innovation has led to an explosive growth of data in various domains, ranging from physics and biological sciences to economics and social sciences. Research on mathematical libraries has been on the leading
요약This dissertation is divided into three parts. In part I, we explore the behavior of randomized matrix algorithms based on the Blendenpik algorithm in a distributed memory setting. We show that a variant of the algorithm that uses a batchwise tr
요약In part II of the dissertation, we explore the behavior of randomized block iterative solvers to compute low rank matrix approximations for dense terabyte sized matrices. We are particularly interested in the behavior of randomized block iterati
요약In part III of the dissertation, we explore the behavior of large-scale kernel approximations using the Nystrom approach to solve the kernel ridge regression (KRR) problem. We demonstrate the scalability of one such Nystrom approximation approac
일반주제명Computer science.
Applied mathematics.
언어영어
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