{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:osu1355417852"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:osu1355417852","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"The Geometry and Dynamics of Context","abstract":"The notion of context is central to many areas in Psychology, especially memory. Mathematical models of memory employ context to cue contents of memory to retrieve specific events or items. Context effects are widespread. However, there have not been many attempts to specify what context in the real world is. We use techniques of nonlinear dynamics to characterize the properties of real world contexts. We show that people experience highly repetitive contexts. We compute the correlation dimension of the space of contexts and show that both visual and semantic context spaces exhibit a two-scaled and low dimensional structure. Finally, we use Takens' delay embedding theorem to show that the low dimension structure is directly related to the dynamics of how people move from one context to another. We discuss these results in the light of the rational analysis of memory (Anderson, 1990).","abstract_html":"The notion of context is central to many areas in Psychology, especially memory. Mathematical models of memory employ context to cue contents of memory to retrieve specific events or items. Context effects are widespread. However, there have not been many attempts to specify what context in the real world is. We use techniques of nonlinear dynamics to characterize the properties of real world contexts. We show that people experience highly repetitive contexts. We compute the correlation dimension of the space of contexts and show that both visual and semantic context spaces exhibit a two-scaled and low dimensional structure. Finally, we use Takens' delay embedding theorem to show that the low dimension structure is directly related to the dynamics of how people move from one context to another. We discuss these results in the light of the rational analysis of memory (Anderson, 1990).","abstract_has_math":false,"creators":["Sreekumar, Vishnu"],"institution":"The Ohio State University","degree_name":"Master of Arts","degree_level":"masters","degree_discipline":"Psychology","degree_department":null,"school":null,"contributors":["Dennis, Simon"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012","date_published":"2012","updated_at":"2026-07-24T03:36:08Z","subjects":["Cognitive Psychology","Language","Physics","Psychology","Context","Dynamics","Correlation Dimension","Memory"],"languages":["English"],"rights":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. 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We compute the correlation dimension of the space of contexts and show that both visual and semantic context spaces exhibit a two-scaled and low dimensional structure. Finally, we use Takens' delay embedding theorem to show that the low dimension structure is directly related to the dynamics of how people move from one context to another. We discuss these results in the light of the rational analysis of memory (Anderson, 1990)."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf","p.61","2.51 MB"]},{"key":"dc:title","label":"Title","values":["The Geometry and Dynamics of Context"]}]}],"canonical_facts":{"dc:contributor":["Dennis, Simon"],"dc:creator":["Sreekumar, Vishnu"],"dc:date":["2012"],"dc:description":["The notion of context is central to many areas in Psychology, especially memory. Mathematical models of memory employ context to cue contents of memory to retrieve specific events or items. Context effects are widespread. However, there have not been many attempts to specify what context in the real world is. We use techniques of nonlinear dynamics to characterize the properties of real world contexts. We show that people experience highly repetitive contexts. We compute the correlation dimension of the space of contexts and show that both visual and semantic context spaces exhibit a two-scaled and low dimensional structure. Finally, we use Takens' delay embedding theorem to show that the low dimension structure is directly related to the dynamics of how people move from one context to another. We discuss these results in the light of the rational analysis of memory (Anderson, 1990)."],"dc:format":["application/pdf","p.61","2.51 MB"],"dc:identifier":["http://rave.ohiolink.edu/etdc/view?acc_num=osu1355417852"],"dc:language":["English"],"dc:publisher":["The Ohio State University / OhioLINK"],"dc:rights":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws."],"dc:subject":["Cognitive Psychology","Language","Physics","Psychology","Context","Dynamics","Correlation Dimension","Memory"],"dc:title":["The Geometry and Dynamics of Context"],"dc:type":["Electronic Thesis or Dissertation"],"thesis:degree_discipline":["Psychology"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Arts"],"thesis:institution_name":["The Ohio State University"]},"updated_at":"2026-07-24T03:36:08Z"}