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Machine Learning: Why Do Simple Algorithms Work So Well?

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서명/저자사항Machine Learning: Why Do Simple Algorithms Work So Well?.
개인저자Jin, Chi.
단체저자명University of California, Berkeley. Computer Science.
발행사항[S.l.]: University of California, Berkeley., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항158 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781085792608
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Jordan, Michael I.
이용제한사항This item must not be sold to any third party vendors.
요약While state-of-the-art machine learning models are deep, large-scale, sequential and highly nonconvex, the backbone of modern learning algorithms are simple algorithms such as stochastic gradient descent, gradient descent with momentum or Q-learning (in the case of reinforcement learning tasks). A basic question endures---why do simple algorithms work so well even in these challenging settings?To answer above question, this thesis focuses on four concrete and fundamental questions:- In nonconvex optimization, can (stochastic) gradient descent or its variants escape saddle points efficiently?- Is gradient descent with momentum provably faster than gradient descent in the general nonconvex setting?- In nonconvex-nonconcave minmax optimization, what is a proper definition of local optima and is gradient descent ascent game-theoretically meaningful?- In reinforcement learning, is Q-learning sample efficient?This thesis provides the first line of provably positive answers to all above questions. In particular, this thesis will show that although the standard versions of these classical algorithms do not enjoy good theoretical properties in the worst case, simple modifications are sufficient to grant them desirable behaviors, which explain the underlying mechanisms behind their favorable performance in practice.
일반주제명Computer science.
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