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Provable and Practical Algorithms fo...
~
Yuan, Yang.
Provable and Practical Algorithms for Non-Convex Problems in Machine Learning.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Provable and Practical Algorithms for Non-Convex Problems in Machine Learning./
作者:
Yuan, Yang.
面頁冊數:
1 online resource (204 pages)
附註:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Contained By:
Dissertation Abstracts International79-10B(E).
標題:
Computer science. -
電子資源:
click for full text (PQDT)
ISBN:
9780438026636
Provable and Practical Algorithms for Non-Convex Problems in Machine Learning.
Yuan, Yang.
Provable and Practical Algorithms for Non-Convex Problems in Machine Learning.
- 1 online resource (204 pages)
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Thesis (Ph.D.)--Cornell University, 2018.
Includes bibliographical references
Machine learning has become one of the most exciting research areas in the world, with various applications. However, there exists a noticeable gap between theory and practice. On one hand, a simple algorithm like stochastic gradient descent (SGD) works very well in practice, without satisfactory theoretical explanations. On the other hand, the algorithms analyzed in the theoretical machine learning literature, although with solid guarantees, tend to be less efficient compared with the techniques widely used in practice, which are usually hand tuned or ad hoc based on intuition.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780438026636Subjects--Topical Terms:
573171
Computer science.
Index Terms--Genre/Form:
554714
Electronic books.
Provable and Practical Algorithms for Non-Convex Problems in Machine Learning.
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Provable and Practical Algorithms for Non-Convex Problems in Machine Learning.
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Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
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Machine learning has become one of the most exciting research areas in the world, with various applications. However, there exists a noticeable gap between theory and practice. On one hand, a simple algorithm like stochastic gradient descent (SGD) works very well in practice, without satisfactory theoretical explanations. On the other hand, the algorithms analyzed in the theoretical machine learning literature, although with solid guarantees, tend to be less efficient compared with the techniques widely used in practice, which are usually hand tuned or ad hoc based on intuition.
520
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This dissertation is about bridging the gap between theory and practice from two directions. The first direction is "practice to theory", i.e., to explain and analyze the existing algorithms and empirical observations in machine learning. Along this direction, we provide sufficient conditions for SGD to escape saddle points and local minima, as well as SGD dynamics analysis for the two-layer neural network with ReLU activation.
520
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The other direction is "theory to practice", i.e., using theoretical tools to obtain new, better and practical algorithms. Along this direction, we introduce a new algorithm Harmonica that uses Fourier analysis and compressed sensing for tuning hyperparameters. Harmonica supports parallel sampling and works well for tuning neural networks with more than 30 hyperparameters.
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