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Uncovering Higher-Order Structures in Complex Systems with Multivariate Information Theory- [electronic resource]
Uncovering Higher-Order Structures in Complex Systems with Multivariate Information Theory...
Uncovering Higher-Order Structures in Complex Systems with Multivariate Information Theory- [electronic resource]

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자료유형  
 학위논문파일 국외
최종처리일시  
20240214100452
ISBN  
9798379718541
DDC  
616
저자명  
Varley, Thomas F.
서명/저자  
Uncovering Higher-Order Structures in Complex Systems with Multivariate Information Theory - [electronic resource]
발행사항  
[S.l.]: : Indiana University., 2023
발행사항  
Ann Arbor : : ProQuest Dissertations & Theses,, 2023
형태사항  
1 online resource(294 p.)
주기사항  
Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
주기사항  
Advisor: Sporns, Olaf;Beggs, John.
학위논문주기  
Thesis (Ph.D.)--Indiana University, 2023.
사용제한주기  
This item must not be sold to any third party vendors.
초록/해제  
요약Complex systems are defined by the presence of intricate, emergent structures that integrate many disparate elements into a single "whole." A central challenge of modern science is inferring this structure from limited and often noisy data. This thesis explores how information theory can reveal structured dependencies in data, with a particular focus on synergistic interactions: when there is information in the joint state of multiple variables (the "whole") that is inaccessible when considering the "parts" individually. Here, we explore three different mathematical approaches to assessing synergy in complex systems and what they reveal about the structure and dynamics of on-going brain activity at multiple scales. We find that higher-order synergies are widespread in the nervous system, existing at the level of local circuits of spiking neurons, as well at the level of whole regions of cortex. Synergistic information can also exist in the instantaneous functional coupling of elements, as well in higher-order flows of information through time. We find that existing methodologies from complex systems science are often insensitive to these synergies. We end by proposing the existence of a "shadow structure": a combinatorially vast space of dependencies that have gone unexplored due to the limitations of standard statistics.
일반주제명  
Neurosciences.
일반주제명  
Mathematics.
일반주제명  
Statistics.
키워드  
Complex systems
키워드  
Emergence
키워드  
Higher order interactions
키워드  
Information theory
키워드  
Network science
키워드  
Synergy
기타저자  
Indiana University Informatics
기본자료저록  
Dissertations Abstracts International. 84-12B.
기본자료저록  
Dissertation Abstract International
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■1001  ▼aVarley,  Thomas  F.▼0(orcid)0000-0002-3317-9882
■24510▼aUncovering  Higher-Order  Structures  in  Complex  Systems  with  Multivariate  Information  Theory▼h[electronic  resource]
■260    ▼a[S.l.]:▼bIndiana  University.  ▼c2023
■260  1▼aAnn  Arbor  :▼bProQuest  Dissertations  &  Theses,  ▼c2023
■300    ▼a1  online  resource(294  p.)
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  84-12,  Section:  B.
■500    ▼aAdvisor:  Sporns,  Olaf;Beggs,  John.
■5021  ▼aThesis  (Ph.D.)--Indiana  University,  2023.
■506    ▼aThis  item  must  not  be  sold  to  any  third  party  vendors.
■520    ▼aComplex  systems  are  defined  by  the  presence  of  intricate,  emergent  structures  that  integrate  many  disparate  elements  into  a  single  "whole."  A  central  challenge  of  modern  science  is  inferring  this  structure  from  limited  and  often  noisy  data.  This  thesis  explores  how  information  theory  can  reveal  structured  dependencies  in  data,  with  a  particular  focus  on  synergistic  interactions:  when  there  is  information  in  the  joint  state  of  multiple  variables  (the  "whole")  that  is  inaccessible  when  considering  the  "parts"  individually.  Here,  we  explore  three  different  mathematical  approaches  to  assessing  synergy  in  complex  systems  and  what  they  reveal  about  the  structure  and  dynamics  of  on-going  brain  activity  at  multiple  scales.  We  find  that  higher-order  synergies  are  widespread  in  the  nervous  system,  existing  at  the  level  of  local  circuits  of  spiking  neurons,  as  well  at  the  level  of  whole  regions  of  cortex.  Synergistic  information  can  also  exist  in  the  instantaneous  functional  coupling  of  elements,  as  well  in  higher-order  flows  of  information  through  time.  We  find  that  existing  methodologies  from  complex  systems  science  are  often  insensitive  to  these  synergies.  We  end  by  proposing  the  existence  of  a  "shadow  structure":  a  combinatorially  vast  space  of  dependencies  that  have  gone  unexplored  due  to  the  limitations  of  standard  statistics.
■590    ▼aSchool  code:  0093.
■650  4▼aNeurosciences.
■650  4▼aMathematics.
■650  4▼aStatistics.
■653    ▼aComplex  systems
■653    ▼aEmergence
■653    ▼aHigher  order  interactions
■653    ▼aInformation  theory
■653    ▼aNetwork  science
■653    ▼aSynergy
■690    ▼a0317
■690    ▼a0405
■690    ▼a0463
■71020▼aIndiana  University▼bInformatics.
■7730  ▼tDissertations  Abstracts  International▼g84-12B.
■773    ▼tDissertation  Abstract  International
■790    ▼a0093
■791    ▼aPh.D.
■792    ▼a2023
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16932390▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.
■980    ▼a202402▼f2024

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