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An adjoint functors approach to models of cognition

Research Project

Project/Area Number 16KT0025
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionNational Institute of Advanced Industrial Science and Technology

Principal Investigator

Phillips Steven  国立研究開発法人産業技術総合研究所, 情報・人間工学領域, 上級主任研究員 (90344209)

Co-Investigator(Kenkyū-buntansha) 武田 裕司  国立研究開発法人産業技術総合研究所, 情報・人間工学領域, 研究チーム長 (10357410)
Project Period (FY) 2016-07-19 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥13,780,000 (Direct Cost: ¥10,600,000、Indirect Cost: ¥3,180,000)
Fiscal Year 2018: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2017: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2016: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywords圏論 / 普遍的構造 / システム性 / 学習 / 刺激‐反応 / dual-process / category / functor / adjunction / sheaf / sheafification / cognition / visual search / conjunctive search / least-cost / category theory / dual-route / dual system
Outline of Final Research Achievements

Dual-process theories are controversial because they are vaguely defined and don’t always align with the supposed distinctions. We proposed a category theory (adjoint functors) approach to dual-process aspects of cognition. A series of experiments were conducted to elicit dual-processing routes within a given task. Our main theoretical result was to show that an associative/relational (rule-based) form of dual-process is related by a category (sheaf) theory construction, called sheaving, which is an adjoint functor. This result provides a new way of modeling cognitive representations and processes.

Academic Significance and Societal Importance of the Research Achievements

Human cognition involves two different styles of thinking: fast, reflexive and effortless (Type 1) versus slow, reflective and effortful (Type 2). The challenge is to provide a coherent theoretical account of the apparent dual nature of cognition.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (18 results)

All 2019 2018 2017 2016

All Journal Article (9 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 9 results,  Open Access: 7 results,  Acknowledgement Compliant: 4 results) Presentation (6 results) (of which Int'l Joint Research: 5 results,  Invited: 3 results) Book (3 results)

  • [Journal Article] Sheaving - a universal construction for semantic compositionality.2019

    • Author(s)
      Phillips, S.
    • Journal Title

      Philosophical Transactions of the Royal Society B: Biological Sciences

      Volume: 375 Issue: 1791 Pages: 1791-1791

    • DOI

      10.1098/rstb.2019.0303

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Going beyond the data as the patching (sheaving) of local knowledge.2018

    • Author(s)
      Phillips, S.
    • Journal Title

      Frontiers in Psychology

      Volume: 9 Pages: 1926-1926

    • DOI

      10.3389/fpsyg.2018.01926

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dual-routes and the cost of determining least-cost.2017

    • Author(s)
      Phillips, S., Takeda, Y., & Sugimoto, F.
    • Journal Title

      Frontiers in Psychology, 8, 1943.

      Volume: 8 Pages: 1943-1943

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Mathematical fixation: Search viewed through a cognitive lens.2017

    • Author(s)
      Phillips, S., & Takeda, Y.
    • Journal Title

      Behavioral and Brain Sciences

      Volume: 40 Pages: 40-41

    • DOI

      10.1017/s0140525x16000224

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mathematical fixation: search viewed through a cognitive lense.(in press)2017

    • Author(s)
      Phillips, S., & Takeda, Y.
    • Journal Title

      Behavioral and Brain Sciences

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Systematicity and a categorical theory of cognitive architecture: universal construction in context.2016

    • Author(s)
      Phillips, S., & Wilson W. H.
    • Journal Title

      Frontiers in Psychology

      Volume: 7

    • DOI

      10.3389/fpsyg.2016.01139

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Second-order systematicity of associative learning: a paradox for classical compositionality and a coalgebraic resolution.2016

    • Author(s)
      Phillips, S., & Wilson, W. H.
    • Journal Title

      PLoS ONE

      Volume: 11(8)

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Commentary: Experimental evidence for compositional syntax in bird calls.2016

    • Author(s)
      Phillips, S., & Wilson W. H.
    • Journal Title

      Frontiers in Psychology

      Volume: 7

    • DOI

      10.3389/fpsyg.2016.01171

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Why are there failures of systematicity? The empirical costs and benefits of inducing universal constructions.2016

    • Author(s)
      Phillips, S., Takeda, Y., & Sugimoto, F.
    • Journal Title

      Frontiers in Psychology

      Volume: 7

    • DOI

      10.3389/fpsyg.2016.01310

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Five aspects of compositionality and a universal principle.2019

    • Author(s)
      Phillips, S
    • Organizer
      Proceedings of the 41st Annual Conference of the Cognitive Science Society
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Category theory for cognition.2018

    • Author(s)
      Phillips, S.
    • Organizer
      9th Annual Symposium of Indian Scientists Association in Japan.
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] A general (category theory) principle for general intelligence: duality (adjointness).2017

    • Author(s)
      Phillips, S.
    • Organizer
      Artificial General Intelligence (AGI 2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A categorical (fixed point) foundation for cognition: (adjoint) corecursion.2017

    • Author(s)
      Phillips, S.
    • Organizer
      The 39th Annual Conference of the Cognitive Science Society.
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analogy is to cognition as category is to computation.2017

    • Author(s)
      Phillips, S.
    • Organizer
      Fourth International Conference on Analogy
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Why are we (un)systematic? The (empirical) costs and benefits of learning universal constructions.2016

    • Author(s)
      Phillips, S., Takeda, Y., & Sugimoto, F.
    • Organizer
      Proceedings of the 38th Annual Conference of the Cognitive Science Society
    • Place of Presentation
      Philadelphia, PA.
    • Year and Date
      2016-08-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] Proceedings of the 40th Annual Conference of the Cognitive Science Society2018

    • Author(s)
      Phillips, S.
    • Total Pages
      6
    • Publisher
      Cognitive Science Society
    • Related Report
      2018 Research-status Report
  • [Book] Artificial General Intelligence (AGI 2017), Lecture Notes in Artificial Intelligence2017

    • Author(s)
      Phillips, S.
    • Total Pages
      9
    • Publisher
      Springer International Publishing
    • ISBN
      9783319637020
    • Related Report
      2017 Research-status Report
  • [Book] Proceedings of the 39th Annual Conference of the Cognitive Science Society2017

    • Author(s)
      Phillips, S.
    • Total Pages
      1
    • Publisher
      Cognitive Science Society
    • ISBN
      9780991196760
    • Related Report
      2017 Research-status Report

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Published: 2016-07-20   Modified: 2023-03-08  

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