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2016 Fiscal Year Research-status Report

An adjoint functors approach to models of cognition

Research Project

Project/Area Number 16KT0025
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, 人間情報研究部門, 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, 自動車ヒューマンファクター研究センター, 研究チーム長 (10357410)
Project Period (FY) 2016-07-19 – 2019-03-31
Keywordscategory theory / functor / adjunction / cognition / dual-route
Outline of Annual Research Achievements

Cognition is characterized by two (opposing) kinds of processes (dual-routes): fast versus slow, domain-specific versus domain-general, and so on. We proposed a category theory approach to understand this dualistic nature of cognition. Our theory says that underlying each dual-route is a categorical adjunction of some kind. Theoretically, we showed that adjoint (co)recursion provides a unifying framework for cognition (Phillips, 2017), and therefore this approach. Experimentally, we developed a novel split-screen paradigm to test an important aspect of the theory which says that routes are chosen on the basis of a cost/benefit assessment of the alternatives. Each cognitive task could be completed by attending to information on either the left or right side of the visual display. The task goal was the same for both sides, but difficulty in attaining the goal was contrasted (easy versus hard). For example, in one task (visual search), subjects searched for a target object that appeared on both sides. Response accuracy, time and eye movements showed that subjects were sensitive to relative task difficulty, consistently searching for the target in the easy side. Similar results were obtained for other cognitive tasks, including addition, mental rotation, among others. Hence, these results confirmed the effectiveness of our paradigm in measuring cost/benefits of dual routes, and so provide an experimental basis for testing the cost/benefit aspect of our category theory approach to cognition.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

3つのアプローチ(実験、理論、方法論)において新しい成果があり、それらを国際誌と学会で報告していることから、おおむね順調に進展していると考えられる。

Strategy for Future Research Activity

The experiments in 2016 showed that subjects were sensitive to relative task difficulty. These experiments tested easy versus hard version of each task. So the differences could simply reflect task difficulty (e.g., time on task), rather than different underlying processes. The categorical theory concerns dual-route processes that are related by adjunctions. Hence the proposed follow-up experiment is to employ the split-screen paradigm where the alternatives are indeed different processes. We propose to test this situation using a visual marking version of our split-screen paradigm. In masked search, some of the search items are displayed prior to displaying the entire search field. It is well-known that subjects flag these items, so as exclude them from subsequent (re)search, and so yields more efficient search. Thus, visual search using prior masked items is known to involve cognitive processes that differ from visual search without masking. So we propose testing subjects on masked versus unmasked visual search version of our split-screen paradigm. That is, one field contains masking, the other field does not. Although visual mask search is generally more efficient, we can independently vary cost by including a delay between onset of mask versus unmask search fields. Our theory predicts that subjects should search of the lower cost side relative to control (one-sided version), rather than simply search on the masked side ragardless of cost.

Causes of Carryover

The carry-over amount is due to unforeseen delay in completing the first series of experiments, which meant that the money allocated for conducting the experiments and publication fees associated with reporting the results in journals could not be spent in that financial year.

Expenditure Plan for Carryover Budget

We plan to spend the carry-over money in the current financial year for completing the experiments (including associated costs such as publication fees) that could not be completed in the previous year.

  • Research Products

    (6 results)

All 2017 2016

All Journal Article (5 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 5 results,  Open Access: 4 results,  Acknowledgement Compliant: 5 results) Presentation (1 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [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 Pages: 印刷中

    • DOI

      in press

    • 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 Pages: 1139(1~14)

    • DOI

      10.3389/fpsyg.2016.01139

    • 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) Pages: 160619(1~26)

    • DOI

      10.1371/journal.pone.016061

    • 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 Pages: 1171(1~4)

    • DOI

      10.3389/fpsyg.2016.01171.

    • 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 Pages: 1310(1~12)

    • DOI

      10.3389/fpsyg.2016.01310

    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [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 – 2016-08-13
    • Int'l Joint Research / Invited

URL: 

Published: 2018-01-16  

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