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Connecting the Dots: Network Testing, Community Estimation, and Genomic Applications.
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Connecting the Dots: Network Testing, Community Estimation, and Genomic Applications.
자료유형  
 학위논문
Control Number  
0017161826
International Standard Book Number  
9798382785110
Dewey Decimal Classification Number  
310
Main Entry-Personal Name  
Cammarata, Louis Vincent.
Publication, Distribution, etc. (Imprint  
[S.l.] : Harvard University., 2024
Publication, Distribution, etc. (Imprint  
Ann Arbor : ProQuest Dissertations & Theses, 2024
Physical Description  
322 p.
General Note  
Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
General Note  
Advisor: Ke, Zheng Tracy;Uhler, Caroline.
Dissertation Note  
Thesis (Ph.D.)--Harvard University, 2024.
Summary, Etc.  
요약This thesis presents three self-contained chapters: a global detection test in the mixed membership Stochastic Block Model (SBM), a community estimation algorithm in the dynamic degree-corrected mixed membership SBM, and a network-based study of the transcriptional control of cellular signal sensing.Detecting the presence of structured communities is one of the most fundamental problems of statistical network analysis. In Chapter 1, we introduce a degree- and cycle count-based test statistic for global testing in the mixed-membership SBM, a common model for social networks. We derive its asymptotic null distribution and show that it is optimal for all choices of model parameters.Studying the evolving structure of complex dynamic networks is becoming increasingly popular. In Chapter 2, we propose a spectral algorithm for dynamic node embedding and mixed membership estimation. We establish explicit error rates under smoothness assumptions on the temporal evolution of mixed memberships and potentially severe degree heterogeneity, showing that our method is rate optimal across a broad parameter range. We showcase its effectiveness on a trade network and a human contact network.Network methods provide critical insights in many scientific disciplines, such as genomics. In Chapter 3, we report evidence of an important layer of transcriptional control of cellular signal sensing. Taking adhesion receptors as an example, we apply diverse network and statistical approaches to characterize the link between chromatin organization in the cell nucleus, gene co-regulation, and receptor proteins clustering.
Subject Added Entry-Topical Term  
Statistics.
Subject Added Entry-Topical Term  
Bioinformatics.
Subject Added Entry-Topical Term  
Genetics.
Index Term-Uncontrolled  
Community estimation
Index Term-Uncontrolled  
Genomic networks
Index Term-Uncontrolled  
Global detection
Index Term-Uncontrolled  
Network science
Added Entry-Corporate Name  
Harvard University Statistics
Host Item Entry  
Dissertations Abstracts International. 85-12B.
Electronic Location and Access  
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Control Number  
joongbu:657461
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