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Scalable Optimization Methods for Machine Learning: Structures, Properties and Applications

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자료유형학위논문
서명/저자사항Scalable Optimization Methods for Machine Learning: Structures, Properties and Applications.
개인저자Tao, Shaozhe.
단체저자명University of Minnesota. Industrial and Systems Engineering.
발행사항[S.l.]: University of Minnesota., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항189 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438168909
학위논문주기Thesis (Ph.D.)--University of Minnesota, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Advisers: Shuzhong Zhang
요약Many problems in machine learning can be formulated using optimization models with constraints that are well structured. Driven in part by such applications, the need to solve very large scale optimization models is pushing the performance limit
요약First, we study popular scalable methods on sparse structured models, including alternating direction method of multipliers, coordinate descent method, proximal gradient method and accelerated proximal gradient method. In contrast to many global
요약Next we move on to group sparse structured model. We develop an inverse covariance estimator that can regularize for overlapping group sparsity, and provide better estimates, especially when the dimension size is much larger than the number of s
요약Finally, we explore a certain low-rank structure in tensor. We construct the connection between the low-rank property in tensor and the group sparsity in its factor matrices. This provides a way to find a low-rank tensor decomposition via a regu
일반주제명Industrial engineering.
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