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Graphical structures for geometric d...
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Arias-Castro, Ery.
Graphical structures for geometric detection.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Graphical structures for geometric detection.
Author:
Arias-Castro, Ery.
Description:
94 p.
Notes:
Adviser: David L. Donoho.
Notes:
Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4645.
Contained By:
Dissertation Abstracts International65-09B.
Subject:
Statistics.
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3145457
ISBN:
0496043609
Graphical structures for geometric detection.
Arias-Castro, Ery.
Graphical structures for geometric detection.
- 94 p.
Adviser: David L. Donoho.
Thesis (Ph.D.)--Stanford University, 2004.
The detection performance of the Longest Significant Run Test is also investigated.
ISBN: 0496043609Subjects--Topical Terms:
182057
Statistics.
Graphical structures for geometric detection.
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Arias-Castro, Ery.
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Graphical structures for geometric detection.
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94 p.
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Adviser: David L. Donoho.
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Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4645.
502
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Thesis (Ph.D.)--Stanford University, 2004.
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#
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The detection performance of the Longest Significant Run Test is also investigated.
520
#
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To each regularity class we associate a graphical structure designed to approximate the GLRT. Computing such approximations is challenging and some approaches are surveyed in the Computer Science and Operations Research literatures.
520
#
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We argue that this hypothesis testing problem is relevant for the task of detecting structures in galaxy distributions.
520
#
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We consider classes of Holder immersions and study the asymptotic power of the Generalized Likelihood Ratio Test (GLRT), or Scan Statistic, in this setting.
520
#
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We extend this study to higher order contact, which models recent experiments in Perceptual Psychophysics; and to detection in graphs, which models networks of sensors.
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#
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We observe n points in the unit d-dimensional hypercube. We want to know whether these points are uniformly distributed or whether a small fraction of them are actually concentrated near an object, such as a curve or sheet, which is only known to belong to some regularity class.
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School code: 0212.
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Statistics.
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Stanford University.
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Donoho, David L.,
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advisor
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3145457
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