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Statistical Inference of Large-Scale Structure in Networks
Statistical Inference of Large-Scale Structure in Networks
Statistical Inference of Large-Scale Structure in Networks

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202103640
ISBN  
9798314873755
DDC  
530
저자명  
Polanco, Austin.
서명/저자  
Statistical Inference of Large-Scale Structure in Networks
발행사항  
[Sl] : University of Michigan, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
114 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
주기사항  
Advisor: Newman, Mark.
학위논문주기  
Thesis (Ph.D.)--University of Michigan, 2025.
초록/해제  
요약Networks are flexible representations of systems governed by many interacting components. This flexibility has led to their application across a broad range of disciplines, modeling trade between countries, cascading failures in power grids, the structure of the World Wide Web, neuronal connections in microscopic organisms like C. elegans, and even human and animal social dynamics. Crucially, networks capture the patterns of interactions between the components of a system. The structured nature of networks can be used to better understand the underlying dynamics of the system. In this thesis, we develop theoretical models to reveal large-scale structures in networks and explore how network structures can be used to make predictions. We begin with a basic overview of how networks and network tools have been used to study scientific systems. Then, we motivate the use of networks by constructing a novel network of drugs and the diseases they treat. To this network, we apply network models for link prediction to address questions related to drug repurposing. Link prediction aims to estimate those edges that may be missing from the network, the prediction of which could motivate the study of potential candidates for drug repurposing. Previous work on network-based drug repurposing has focused primarily on networks of indirect connections between drugs and diseases, such as drug-protein or drug-gene networks. Some work has been done on drug-disease interactions, but using networks much smaller in scope. We do extensive cross-validation tests and discuss bounds on how well these link prediction methods can do on our dataset.We then turn our focus to the modeling of large-scale structures in networks. First, we consider core-periphery structure, a structure commonly found in many types of network. Often times, this structure is considered with only two groups: a core and a periphery. This partition of the network is related to the importance or centrality of nodes, with more central nodes being in the core. There has been substantial research on models for networks characterized by this structure, and we extend these works by proposing one that can reveal more flexible divisions network. Crucially, we allow for multiple cores and peripheries, but also more general hierarchical structures. We propose a generative model that allows for any number of groups along with a model-fitting approach to determine the number of groups directly from the network data. Second, we study community structure in higher-order networks. With the growing popularity of higher-order networks, there is increasing interest in extending established methods for treating dyadic networks to these more complex ones. Detecting communities in higher-order networks could potentially reveal more sophisticated social structures in social networks or nontrivial functions of components in neuronal networks. We propose a generative model for community structure in higher-order networks and evaluate its performance on a representative selection of empirically measured networks with ground truth community structure.These works collectively use network structure to provide insight into real-world network data and contribute additional tools for researchers to study their network systems.
일반주제명  
Physics
일반주제명  
Mathematics
일반주제명  
Bioinformatics
키워드  
Networks
키워드  
Community structure
키워드  
Higher-order networks
키워드  
Network structures
키워드  
Drug repurposing
기타저자  
University of Michigan Applied Physics
기본자료저록  
Dissertations Abstracts International. 86-11B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)umichrackham006136
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■0820  ▼a530
■1001  ▼aPolanco,  Austin.
■24510▼aStatistical  Inference  of  Large-Scale  Structure  in  Networks
■260    ▼a[Sl]▼bUniversity  of  Michigan▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a114  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-11,  Section:  B.
■500    ▼aAdvisor:  Newman,  Mark.
■5021  ▼aThesis  (Ph.D.)--University  of  Michigan,  2025.
■520    ▼aNetworks  are  flexible  representations  of  systems  governed  by  many  interacting  components.  This  flexibility  has  led  to  their  application  across  a  broad  range  of  disciplines,  modeling  trade  between  countries,  cascading  failures  in  power  grids,  the  structure  of  the  World  Wide  Web,  neuronal  connections  in  microscopic  organisms  like  C.  elegans,  and  even  human  and  animal  social  dynamics.  Crucially,  networks  capture  the  patterns  of  interactions  between  the  components  of  a  system.  The  structured  nature  of  networks  can  be  used  to  better  understand  the  underlying  dynamics  of  the  system.  In  this  thesis,  we  develop  theoretical  models  to  reveal  large-scale  structures  in  networks  and  explore  how  network  structures  can  be  used  to  make  predictions. We  begin  with  a  basic  overview  of  how  networks  and  network  tools  have  been  used  to  study  scientific  systems.  Then,  we  motivate  the  use  of  networks  by  constructing  a  novel  network  of  drugs  and  the  diseases  they  treat.  To  this  network,  we  apply  network  models  for  link  prediction  to  address  questions  related  to  drug  repurposing.  Link  prediction  aims  to  estimate  those  edges  that  may  be  missing  from  the  network,  the  prediction  of  which  could  motivate  the  study  of  potential  candidates  for  drug  repurposing.  Previous  work  on  network-based  drug  repurposing  has  focused  primarily  on  networks  of  indirect  connections  between  drugs  and  diseases,  such  as  drug-protein  or  drug-gene  networks.  Some  work  has  been  done  on  drug-disease  interactions,  but  using  networks  much  smaller  in  scope.  We  do  extensive  cross-validation  tests  and  discuss  bounds  on  how  well  these  link  prediction  methods  can  do  on  our  dataset.We  then  turn  our  focus  to  the  modeling  of  large-scale  structures  in  networks.  First,  we  consider  core-periphery  structure,  a  structure  commonly  found  in  many  types  of  network.  Often  times,  this  structure  is  considered  with  only  two  groups:  a  core  and  a  periphery.  This  partition  of  the  network  is  related  to  the  importance  or  centrality  of  nodes,  with  more  central  nodes  being  in  the  core.  There  has  been  substantial  research  on  models  for  networks  characterized  by  this  structure,  and  we  extend  these  works  by  proposing  one  that  can  reveal  more  flexible  divisions  network.  Crucially,  we  allow  for  multiple  cores  and  peripheries,  but  also  more  general  hierarchical  structures.  We  propose  a  generative  model  that  allows  for  any  number  of  groups  along  with  a  model-fitting  approach  to  determine  the  number  of  groups  directly  from  the  network  data. Second,  we  study  community  structure  in  higher-order  networks.  With  the  growing  popularity  of  higher-order  networks,  there  is  increasing  interest  in  extending  established  methods  for  treating  dyadic  networks  to  these  more  complex  ones.  Detecting  communities  in  higher-order  networks  could  potentially  reveal  more  sophisticated  social  structures  in  social  networks  or  nontrivial  functions  of  components  in  neuronal  networks.  We  propose  a  generative  model  for  community  structure  in  higher-order  networks  and  evaluate  its  performance  on  a  representative  selection  of  empirically  measured  networks  with  ground  truth  community  structure.These  works  collectively  use  network  structure  to  provide  insight  into  real-world  network  data  and  contribute  additional  tools  for  researchers  to  study  their  network  systems.
■590    ▼aSchool  code:  0127.
■650  4▼aPhysics
■650  4▼aMathematics
■650  4▼aBioinformatics
■653    ▼aNetworks
■653    ▼aCommunity  structure
■653    ▼aHigher-order  networks
■653    ▼aNetwork  structures
■653    ▼aDrug  repurposing
■690    ▼a0605
■690    ▼a0800
■690    ▼a0405
■690    ▼a0715
■71020▼aUniversity  of  Michigan▼bApplied  Physics.
■7730  ▼tDissertations  Abstracts  International▼g86-11B.
■790    ▼a0127
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358074▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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