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High-dimensional Universal Dependenc...
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Peng, Hesen.
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High-dimensional Universal Dependence Discovery.
Record Type:
Electronic resources : Monograph/item
Title/Author:
High-dimensional Universal Dependence Discovery./
Author:
Peng, Hesen.
Published:
Ann Arbor : ProQuest Dissertations & Theses, : 2012,
Description:
86 p.
Notes:
Source: Dissertation Abstracts International, Volume: 74-01(E), Section: B.
Contained By:
Dissertation Abstracts International74-01B(E).
Subject:
Statistics. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3522342
ISBN:
9781267544261
High-dimensional Universal Dependence Discovery.
Peng, Hesen.
High-dimensional Universal Dependence Discovery.
- Ann Arbor : ProQuest Dissertations & Theses, 2012 - 86 p.
Source: Dissertation Abstracts International, Volume: 74-01(E), Section: B.
Thesis (Ph.D.)--Emory University, 2012.
This item is not available from ProQuest Dissertations & Theses.
The emergence of high-throughput data in biological science and computer networks has generated novel challenges for statistical methods. Nonlinear relationships and multivariate interactions are abundant. The sheer volume of high-throughput data has limited the application for traditional case-by-case analysis methods, whose model assumptions, like linearity, are often not supported in high-throughput scenarios.
ISBN: 9781267544261Subjects--Topical Terms:
517247
Statistics.
High-dimensional Universal Dependence Discovery.
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Source: Dissertation Abstracts International, Volume: 74-01(E), Section: B.
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Adviser: Tianwei Yu.
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Thesis (Ph.D.)--Emory University, 2012.
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This item is not available from ProQuest Dissertations & Theses.
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The emergence of high-throughput data in biological science and computer networks has generated novel challenges for statistical methods. Nonlinear relationships and multivariate interactions are abundant. The sheer volume of high-throughput data has limited the application for traditional case-by-case analysis methods, whose model assumptions, like linearity, are often not supported in high-throughput scenarios.
520
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To meet these challenges, we developed Mira score, a novel probabilistic association statistic that accounts for high-dimensional universal dependence. Mira score is defined as a function of observation graph, and thus circumvents the curse of dimensionality in high-dimensional data. The superior statistical property enjoyed by Mira score has led to our development of an efficient network reverse-engineering procedure for multivariate dependence. As an example, the procedure has been applied to celiac disease and lung cancer pathway interaction analysis, and has achieved interesting findings.
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Further more, in the supervised-machine learning scenario, we proposed SeMira procedure, an efficient variable selection procedure that accounts for high-dimensional universal dependence. The SeMira procedure is capable of identifying universal probabilistic association between multivariate response variables and high-dimensional predictors. The highly desirable statistical property of the SeMira procedure is discussed and numerical study is conducted using both simulated and real genetic pathway data.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3522342
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