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020 ▼a 9780438345256
035 ▼a (MiAaPQ)AAI10929284
035 ▼a (MiAaPQ)cornellgrad:11115
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 310
1001 ▼a Jin, Ze. ▼0 (orcid)0000-0002-5882-6580
24510 ▼a Measuring Statistical Dependence and its Applications in Machine Learning.
260 ▼a [S.l.] : ▼b Cornell University., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 94 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: David S. Matteson.
5021 ▼a Thesis (Ph.D.)--Cornell University, 2018.
520 ▼a My PhD research focuses on measuring and testing mutual dependence and conditional mean dependence, and applying it to Machine Learning problems, which is elaborated in the following four chapters:
520 ▼a Chapter 1 -- We propose three new measures of mutual dependence between multiple random vectors. Each measure is zero if and only if the random vectors are mutually independent. The first generalizes distance covariance from pairwise dependence
520 ▼a Chapter 2 -- We apply both distance-based and kernel-based mutual dependence measures to independent component analysis (ICA), and generalize dCovICA to MDMICA, minimizing empirical dependence measures as an objective function in both deflation
520 ▼a Chapter 3 -- Independent component analysis (ICA) decomposes multivariate data into mutually independent components (ICs). The ICA model is subject to a constraint that at most one of these components is Gaussian, which is required for model ide
520 ▼a Chapter 4 -- A crucial problem in statistics is to decide whether additional variables are needed in a regression model. We propose a new multivariate test to investigate the conditional mean independence of Y given X conditioning on some known
590 ▼a School code: 0058.
650 4 ▼a Statistics.
650 4 ▼a Computer science.
650 4 ▼a Mathematics.
690 ▼a 0463
690 ▼a 0984
690 ▼a 0405
71020 ▼a Cornell University. ▼b Statistics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0058
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15000936 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자