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Quantitative Modeling for the Neural Basis of Mathematical Ability

Research Project

Project/Area Number 20K07718
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 51010:Basic brain sciences-related
Research InstitutionTeikyo University (2022-2023)
National Institute of Information and Communications Technology (2020)

Principal Investigator

Nakai Tomoya  帝京大学, 先端総合研究機構, 客員研究員 (60781250)

Project Period (FY) 2022-01-04 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
KeywordsfMRI / 数学 / 人工ニューラルネット / 符号化モデル / 頭頂間溝 / MRI / 機械学習 / ニューラルネット / 人工知能
Outline of Research at the Start

本研究では、数学能力の神経基盤を、以下の段階を経て明らかにする:
(1)数学能力の脳機能モデルとしてのニューラルネットワークモデルを構築する。
(2)実験参加者が数学課題実行中のMRI計測を行う。課題内容からニューラルネットワークにより抽出した特徴量と脳活動の多変量線形回帰により符号化モデルを構築し、各特徴量の脳情報表現を検討する。
(3)脳活動の予測精度を元に、複数のニューラルネットワークモデルのうちヒトの脳機能に最 も近似したモデルを調査する。
(4)構築した符号化モデルの一部の構造を崩すことにより、仮想的な脳機能への影響をシミュレートする。

Outline of Final Research Achievements

In this project, we revealed the cognitive neural basis of mathematical ability from multiple perspectives. First, we showed that brain representations of format-independent mathematical operations can be obtained using categorical operator model, and brain activity during mathematical tasks was predicged using an artificial neural network model. Subsequently, through international collaboration with French researchers, we uncovered how brain representations related to number processing change with education based on the data from 5- and 8-year-old children. Furthermore, we applied theoretical linguistics to explain syntactic structures of mathematical expressions. These results have been published in several international journals, including PLOS Biology.

Academic Significance and Societal Importance of the Research Achievements

本研究は、近年発展が著しい人工知能技術と脳機能イメージング技術を融合させて数学能力に関するモデルを構築した世界初の成果である。また、数学は先端的な人工知能技術を理解するためには必要不可欠であり、数学能力の個人差の脳神経機序を理解することは、効率的な数学学習や計算障害の鑑別に役立つ可能性がある。特に本研究で明らかになった5歳児および8歳児の数処理の脳機能は、数学教育の初期段階において脳機能の変化を定量的に調べることができることを示している。このような発達脳機能データを人工知能技術と組み合わせることにより、将来的により精度の高いモデル構築につながることが期待される。

Report

(3 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • Research Products

    (19 results)

All 2024 2023 2022 Other

All Int'l Joint Research (3 results) Journal Article (10 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 7 results,  Open Access: 10 results) Presentation (6 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Int'l Joint Research] リヨン神経科学研究センター(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] IRCAM(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] リヨン神経科学研究センター(フランス)

    • Related Report
      2022 Research-status Report
  • [Journal Article] Cortical representational geometry of diverse tasks reveals subject-specific and subjectinvariant cognitive structures2024

    • Author(s)
      Tomoya Nakai, Rieko Kubo, Shinji Nishimoto
    • Journal Title

      bioRxiv

      Volume: -

    • DOI

      10.1101/2024.01.26.577334

    • Related Report
      2023 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Algorithmic voice transformations reveal the phonological basis of language-familiarity effects in cross-cultural emotion judgments2023

    • Author(s)
      Nakai Tomoya、Rachman Laura、Arias Sarah Pablo、Okanoya Kazuo、Aucouturier Jean-Julien
    • Journal Title

      PLOS ONE

      Volume: 18 Issue: 5 May Pages: e0285028-e0285028

    • DOI

      10.1371/journal.pone.0285028

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Syntactic theory of mathematical expressions2023

    • Author(s)
      Daiki Matsumoto, Tomoya Nakai 146
    • Journal Title

      Cognitive Psychology

      Volume: 146 Pages: 101606-101606

    • DOI

      10.1016/j.cogpsych.2023.101606

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] From brain to education through machine learning: Predicting literacy and numeracy skills from neuroimaging data2023

    • Author(s)
      Tomoya Nakai, Jerome Prado
    • Journal Title

      PsyArXiv

      Volume: -

    • DOI

      10.31234/osf.io/fwyza

    • Related Report
      2023 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Quantitative modelling demonstrates format‐invariant representations of mathematical problems in the brain2023

    • Author(s)
      Nakai Tomoya、Nishimoto Shinji
    • Journal Title

      European Journal of Neuroscience

      Volume: 57 Issue: 6 Pages: 1003-1017

    • DOI

      10.1111/ejn.15925

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Artificial neural network modelling of the neural population code underlying mathematical operations2023

    • Author(s)
      Nakai Tomoya、Nishimoto Shinji
    • Journal Title

      NeuroImage

      Volume: 270 Pages: 119980-119980

    • DOI

      10.1016/j.neuroimage.2023.119980

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Cortical representations of numbers and nonsymbolic quantities expand and segregate in children from 5 to 8 years of age2023

    • Author(s)
      Nakai Tomoya、Girard Clea、Longo Lea、Chesnokova Hanna、Prado Jerome
    • Journal Title

      PLOS Biology

      Volume: 21 Issue: 1 Pages: e3001935-e3001935

    • DOI

      10.1371/journal.pbio.3001935

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Syntactic theory of mathematical expressions2023

    • Author(s)
      Matsumoto Daiki、Nakai Tomoya
    • Journal Title

      PsyArXiv

      Volume: - Pages: 1-25

    • DOI

      10.31234/osf.io/87pmy

    • Related Report
      2022 Research-status Report
    • Open Access
  • [Journal Article] Representations and decodability of diverse cognitive functions are preserved across the human cortex, cerebellum, and subcortex2022

    • Author(s)
      Nakai Tomoya、Nishimoto Shinji
    • Journal Title

      Communications Biology

      Volume: 5 Issue: 1 Pages: 1245-1245

    • DOI

      10.1038/s42003-022-04221-y

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Brain networks are decoupled from external stimuli during internal cognition2022

    • Author(s)
      Cohen Dror、Nakai Tomoya、Nishimoto Shinji
    • Journal Title

      NeuroImage

      Volume: 256 Pages: 119230-119230

    • DOI

      10.1016/j.neuroimage.2022.119230

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] 記号接地から記号分離へ―数学学習による記号と地の変化―2023

    • Author(s)
      中井智也
    • Organizer
      コミュニケーション&人間とは何か?セミナーシリーズ 第7回セミナー
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] Computational approach to brain mechanisms of mathematical cognition2023

    • Author(s)
      Tomoya Nakai
    • Organizer
      LaPsyDE; Scientific Focus
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Subject-invariant structures of multitask representations in the association cortices2023

    • Author(s)
      Tomoya Nakai, Rieko Kubo, Shinji Nishimoto
    • Organizer
      第7回ヒト脳イメージング研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Exploring the neural population code of mathematical thought: insights from distributed representations in artificial neural networks2023

    • Author(s)
      Tomoya Nakai, Shinji Nishimoto
    • Organizer
      第33回日本神経回路学会全国大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Brain representations of symbolic and non-symbolic magnitudes become estranged over development2022

    • Author(s)
      Nakai Tomoya
    • Organizer
      The Mathematical Cognition and Learning Society (MCLS) 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Brain representations of symbolic and non-symbolic quantity become estranged with education: Evidence from between-format and between-age decoding2022

    • Author(s)
      Nakai Tomoya
    • Organizer
      Flux 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research

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Published: 2020-04-28   Modified: 2025-01-30  

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