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Mathematical model development of emotion dimensions based on variation of uncertainty and its application to inverse problems

Research Project

Project/Area Number 21H03528
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 61060:Kansei informatics-related
Research InstitutionThe University of Tokyo

Principal Investigator

Hideyoshi Yanagisawa  東京大学, 大学院工学系研究科(工学部), 准教授 (20396782)

Co-Investigator(Kenkyū-buntansha) 加藤 健郎  慶應義塾大学, 理工学部(矢上), 准教授 (70580091)
上田 一貴  東京大学, 大学院工学系研究科(工学部), 講師 (10403594)
Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2023: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2022: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
Fiscal Year 2021: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Keywords感情 / 数理モデル / 自由エネルギー / デザイン / 脳計測 / ベイズ / 予測誤差 / 覚醒ポテンシャル / 音楽 / fMRI / 情報理論 / 不確かさ / 生成モデル
Outline of Research at the Start

未知なるものに対する不確かさは期待や不安を、そして経験による不確かさの減少は驚きや安心をもたらす。本研究では、情報量として表す不確かさを用いて、感情の次元である覚醒度と感情価を一般的に説明する数理モデルを開発する。そして、脳の情報処理プロセスにおける情報量の変化と感情との関係を明らかにする。提案モデルの解析と認知神経科学的な実証実験により、不確かさの変化が感情次元に及ぼす影響を解明する。これにより、情報量を基礎とした感情の数学的原理を究明する。音楽と感情喚起画像を用いた実験からモデルの妥当性を検証する。さらに、感情モデルにもとづく形状の美的好みの評価関数を構築し逆問題へ応用する。

Outline of Final Research Achievements

Using Free Energy (hereafter referred to as F), which represents the amount of information in uncertainty, we developed a mathematical model that generally explains the dimensions of emotion. Since F can be interpreted as the sum of information brought by the recognition of novelty and complexity, we positioned it as an indicator of arousal potential. Utilizing this, we mathematically modeled the Arousal Potential Theory, which posits that moderate arousal maximizes pleasure, as well as the emotion of interest in reframing.
The validity of the formulated emotion model was verified through experiments using music stimuli and video stimuli of card magic with fMRI measurements.
Furthermore, as an application of the inverse problem of the emotion model, we developed an aesthetic shape generation system that can manipulate novelty and complexity to optimize aesthetic pleasure.

Academic Significance and Societal Importance of the Research Achievements

脳が計算する予測誤差の情報量表現である自由エネルギーを用いて、感情の基本次元である覚醒度と感情価を一般的に数理モデル化した本研究の成果は過去に例を見ない。本研究で提案し検証された感情次元の数理モデルは、感情のメカニズムの解明、感情の予測、さらには生成モデルとしての応用が可能である。よって、感情に関わる科学、工学において広く基盤的な知識を提供する。
感情の数理モデルを計算機に実装することにより、ヒトの感情を推論し人の感情に配慮した新たな工学システム開発への応用が期待される。一般的な機械学習と異なり、提案モデルは仕組みの理解が可能なホワイトボックスモデルであるため検証と原因究明が可能となる。

Report

(4 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • Research Products

    (60 results)

All 2024 2023 2022 2021

All Journal Article (19 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 14 results,  Open Access: 10 results) Presentation (39 results) (of which Int'l Joint Research: 8 results,  Invited: 7 results) Book (2 results)

  • [Journal Article] Kansei for the Digital Era2024

    • Author(s)
      SCHUTTE Simon、LOKMAN Anitawati Mohd、MARCO-ALMAGRO Lluis、ISHIHARA Shigekazu、YANAGISAWA Hideyoshi、YAMANAKA Toshimasa、VALVERDE Nuno、COLEMAN Shirley
    • Journal Title

      International Journal of Affective Engineering

      Volume: 23 Issue: 1 Pages: 1-18

    • DOI

      10.5057/ijae.IJAE-D-23-00003

    • ISSN
      2187-5413
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] nvestigating Crossmodal Correspondences Between Vibrotactile Stimuli and Colors2024

    • Author(s)
      Daniel Horst, Jumpei Hayashi, Takeo Kato and Hideyoshi Yanagisawa
    • Journal Title

      International Journal of Affective Engineering

      Volume: 23-2

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Index for Quantifying ‘Order’ in Three-Dimensional Shapes2024

    • Author(s)
      Shimizu Takahiro、Okamoto Masaya、Ieda Yuto、Kato Takeo
    • Journal Title

      Symmetry

      Volume: 16 Issue: 4 Pages: 381-381

    • DOI

      10.3390/sym16040381

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Complexity Mediated Cross-modal Correspondence between Tone Sequences and Shapes2024

    • Author(s)
      Jumpei Hayashi, Takeo Kato, Hideyoshi Yanagisawa
    • Journal Title

      International Journal of Affective Engineering

      Volume: accepted

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantification of “novelty” based on free-energy principle and its application for “aesthetic liking” for industrial products2023

    • Author(s)
      Sasaki Hiromasa、Kato Takeo、Yanagisawa Hideyoshi
    • Journal Title

      Research in Engineering Design

      Volume: 35 Issue: 1 Pages: 21-41

    • DOI

      10.1007/s00163-023-00422-6

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Design for Well-Being and Sustainability: A Conceptual Framework of the Peer-to-Peer Sharing and Reuse Platform in the Circular Economy2023

    • Author(s)
      Ho Meng-Xun、Yanagisawa Hideyoshi
    • Journal Title

      Sustainability

      Volume: 15 Issue: 11 Pages: 8852-8852

    • DOI

      10.3390/su15118852

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Shape Generation System for Optimizing Aesthetic Interest Associated with Novelty and Complexity2023

    • Author(s)
      Honda Shimon、Yanagisawa Hideyoshi
    • Journal Title

      Proceedings of the Design Society

      Volume: 3 Pages: 3155-3164

    • DOI

      10.1017/pds.2023.316

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 感情力学と探究サイクル(興味と好奇心の数学的原理)2023

    • Author(s)
      柳澤秀吉
    • Journal Title

      設計工学

      Volume: 58-10 Pages: 484-484

    • Related Report
      2023 Annual Research Report
  • [Journal Article] Free energy model of emotional valence in dual-process perceptions2023

    • Author(s)
      Yanagisawa, Hideyoshi、Wu, Xiaoxiang、Ueda, Kazutaka、Kato, Takeo
    • Journal Title

      Neural Networks

      Volume: 157 Pages: 422-436

    • DOI

      10.1016/j.neunet.2022.10.027

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Systematic Classification of Curvature and Feature Descriptor of 3D Shape and Its Application to “Complexity” Quantification Methods2023

    • Author(s)
      Matsuyama, Kazuma、Shimizu, Takahiro、Kato, Takeo
    • Journal Title

      Entropy

      Volume: 25 Issue: 4 Pages: 624-624

    • DOI

      10.3390/e25040624

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Aesthetic shape generation system based on novelty and complexity2022

    • Author(s)
      Honda, Shimon、Yanagisawa, Hideyoshi、Kato,Takeo
    • Journal Title

      Journal of Engineering Design

      Volume: 33 Issue: 12 Pages: 1016-1035

    • DOI

      10.1080/09544828.2022.2155343

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modelling of State of Charge Recognition: Use of a Bayesian Approach to Formulate Hidden State Perceptions and Emotions2022

    • Author(s)
      Yanagisawa, Hideyoshi、Miyamoto, Masafumi、Arima, Satsuki
    • Journal Title

      International Journal of Intelligent Transportation Systems Research

      Volume: 20 Issue: 3 Pages: 612-622

    • DOI

      10.1007/s13177-022-00313-5

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Information Theoretic Emotions?A Mathematical Framework of Emotion Potential Caused by Complexity and Novelty2022

    • Author(s)
      Yanagisawa, Hideyoshi
    • Journal Title

      Emotional Engineering

      Volume: 9 Pages: 113-123

    • DOI

      10.1007/978-3-031-05867-7_10

    • ISBN
      9783031058660, 9783031058677
    • Related Report
      2022 Annual Research Report
  • [Journal Article] Cognitive Neuroscience for Design2022

    • Author(s)
      Ueda, Kazutaka
    • Journal Title

      Emotional Engineering

      Volume: 9 Pages: 49-55

    • DOI

      10.1007/978-3-031-05867-7_5

    • ISBN
      9783031058660, 9783031058677
    • Related Report
      2022 Annual Research Report
  • [Journal Article] 自由エネルギーを用いた認識・行動・感情の数理モデル(感性設計のための数理 第3報)2022

    • Author(s)
      柳澤秀吉
    • Journal Title

      設計工学

      Volume: 57 Pages: 41-48

    • Related Report
      2021 Annual Research Report
  • [Journal Article] 閉曲線形状に関する感性の定量化を目指して2022

    • Author(s)
      加藤健郎
    • Journal Title

      設計工学

      Volume: 57 Pages: 71-77

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Free-Energy Model of Emotion Potential: Modeling Arousal Potential as Information Content Induced by Complexity and Novelty2021

    • Author(s)
      Yanagisawa, Hideyoshi
    • Journal Title

      Frontiers in Computational Neuroscience

      Volume: 15 Pages: 1-13

    • DOI

      10.3389/fncom.2021.698252

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] How predictability affects habituation to novelty2021

    • Author(s)
      Ueda, Kazutaka、Sekoguchi, Takahiro、Yanagisawa, Hideyoshi
    • Journal Title

      PLOS ONE

      Volume: 16 Issue: 6 Pages: 1-15

    • DOI

      10.1371/journal.pone.0237278

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantitative evaluation of sense of discrepancy of operation response using event-related potential2021

    • Author(s)
      Kazutaka Ueda, Yuki Sakai, Hideyoshi Yanagisawa
    • Journal Title

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 15 Issue: 2 Pages: JAMDSM0023-JAMDSM0023

    • DOI

      10.1299/jamdsm.2021jamdsm0023

    • NAID

      130008009882

    • ISSN
      1881-3054
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] 感性のプリンキピアを拓く:自由エネルギー原理を起点として2023

    • Author(s)
      柳澤秀吉
    • Organizer
      第26回日本感性工学会大会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 感情力学の構想 (不確実性を愉しむ心の数理)2023

    • Author(s)
      柳澤秀吉
    • Organizer
      日本機械学会年次大会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 自由エネルギーを用いた動的な感情次元の数理モデリング(音楽刺激を用いた検証と応用)2023

    • Author(s)
      中島 眞由、臼田 知永、柳澤 秀吉
    • Organizer
      第26回日本感性工学会大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 形状に対する覚醒ポテンシャルモデルの提案(自由エネルギを用いた形状特徴量)2023

    • Author(s)
      松永秀文、柳澤秀吉
    • Organizer
      日本デザイン学会第70回春季研究発表大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 美的興味をもたらす動きと構造のモデル化(リンク機構のアニメーションを用いた実験検証)2023

    • Author(s)
      本多 詩聞、柳澤 秀吉、加藤 健郎
    • Organizer
      日本デザイン学会第70回春季研究発表大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 覚醒ポテンシャルにもとづく新奇色の提案手法2023

    • Author(s)
      大橋 優一郎、柳澤 秀吉
    • Organizer
      日本デザイン学会第70回春季研究発表大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 構造と挙動の複雑さが興味と感心に及ぼす影響(感情力学にもとづく動きのデザインの可能性)2023

    • Author(s)
      本多 詩聞,加藤 健郎,柳澤 秀吉
    • Organizer
      日本機械学会第33回設計工学・システム部門講演会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 自由エネルギーを用いた形状に対する美的感性の特徴量の提案(形の美を定量する一般指標の開発に向けて)2023

    • Author(s)
      松永 秀文,柳澤 秀吉,加藤 健郎
    • Organizer
      日本機械学会第33回設計工学・システム部門講演会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 覚醒ポテンシャルにもとづく色彩設計支援システム(新奇色に対する感性の数理モデリングの妥当性検証と応用)2023

    • Author(s)
      大橋 優一郎,柳澤 秀吉
    • Organizer
      日本機械学会第33回設計工学・システム部門講演会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 自由エネルギー原理から考える「ひらめき」と探究のサイクル2023

    • Author(s)
      柳澤秀吉
    • Organizer
      第19回日本感性工学会大会春季大会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 好奇心と興味をもたらす人工物の「動き」のデザイン生成技術2023

    • Author(s)
      本多 詩聞1、柳澤 秀吉1、加藤 健郎
    • Organizer
      第19回日本感性工学会大会春季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 自由エネルギーを用いた興味と好奇心のモデル化と音列による検証2023

    • Author(s)
      中島 眞由、柳澤 秀吉
    • Organizer
      第19回日本感性工学会大会春季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Cross-Modal Correspondence between Sound Pitch and Shape Controlled by Shape Feature Indices2023

    • Author(s)
      Jumpei Hayashi, Takeo Kato, Hideyoshi Yanagisawa
    • Organizer
      IEEE International Conference on SMC (Systems, Man, and Cybernetics)
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 形状の定量化指標を用いた視覚と聴覚における感覚間協応の検証2023

    • Author(s)
      林淳平,加藤健郎,柳澤秀吉
    • Organizer
      日本デザイン学会第70回春季研究発表大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Modelling Cognitive Bias in Safety using Bayesian Inference2022

    • Author(s)
      Yanagisawa, Hideyoshi
    • Organizer
      15th World Congress on Computational Mechanics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Novelty index for curved surface using KL divergence and its effectiveness on industrial product2022

    • Author(s)
      Sasaki, Hiromasa、Kato, Takeo、 Yanagisawa, Hideyoshi
    • Organizer
      KEER2022
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cross-modal effect between taste and shape controlled by curvature entropy2022

    • Author(s)
      Hayashi, Jumpei 、Sasaki, Hiromasa 、Kato, Takeo
    • Organizer
      KEER2022
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Modelling emotions of aha moment in category shifting2022

    • Author(s)
      Xiaoxiang Wu、Kazutaka Ueda、Hideyoshi Yanagisawa
    • Organizer
      13th International Conference on Applied Human Factors and Ergonomics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cognitive Neuroscience for design2022

    • Author(s)
      Ueda, Kazutaka
    • Organizer
      13th International Conference on Applied Human Factors and Ergonomics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 予測する脳の予測 (心のデジタルツインを目指して)2022

    • Author(s)
      柳澤秀吉
    • Organizer
      日本機械学会年次大会2022
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 形状における新奇性と複雑さの定式化とデザインへの応用-新奇性と複雑さを操作可能な形状生成システムの実装-2022

    • Author(s)
      本多 詩聞, 柳澤 秀吉, 加藤 健郎
    • Organizer
      日本機械学会 第32回設計工学・システム部門講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 自由エネルギーを用いた動的な感情次元の数理モデリング2022

    • Author(s)
      臼田知永、柳澤秀吉
    • Organizer
      日本機械学会 第32回設計工学・システム部門講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 形状における新奇性と複雑さの定式化と逆問題への応用2022

    • Author(s)
      本多詩聞、柳澤秀吉
    • Organizer
      第92回形の科学シンポジウム
    • Related Report
      2022 Annual Research Report
  • [Presentation] デザイン における新奇性と複雑さの定式化と逆問題への応用 新奇性と複雑さを制御可能な形状生成システムの開発2022

    • Author(s)
      本多詩聞、柳澤秀吉、加藤健郎
    • Organizer
      第69回 日本デザイン学会 春季研究発表大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 自由エネルギーの変化に基づく感情次元の数理モデリング2022

    • Author(s)
      臼田知永、柳澤秀吉
    • Organizer
      第24回日本感性工学会大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 曲率エントロピーを用いた視覚と味覚のクロスモーダル効果の解析2022

    • Author(s)
      林淳平,佐々木皓正,加藤健郎
    • Organizer
      日本機械学会 第32回設計工学・システム部門講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Mathematical Modeling of Emotion Potential and Pleasure Based on the Dynamics of Free Energy: Verification Using Experimental Data of Musical Pleasures2022

    • Author(s)
      Tomohisa Usuda、Hideyoshi Yanagisawa
    • Organizer
      International Symposium on Affective Science and Engineering
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Modeling emotions with the free-energy reduction in category recognition: A hierarchical Bayesian approach for perception process2022

    • Author(s)
      Yubo Feng、Hideyoshi Yanagisawa
    • Organizer
      International Symposium on Affective Science and Engineering
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Modeling Human Prediction for Autonomous Mobile Robot Motion : Prediction based on a Latent Variable of Driving Force2021

    • Author(s)
      Okada, M, Yanagisawa, H.
    • Organizer
      iDECON/MS2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] Modeling human recognition of the state of charge2021

    • Author(s)
      Satsuki ARIMA, Masafumi MIYAMOTO and Hideyoshi YANAGISAWA
    • Organizer
      iDECON/MS2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] Effect of aesthetic appeal on large scale brain networks2021

    • Author(s)
      Ueda, Kazutaka
    • Organizer
      12th International Conference on Applied Human Factors and Ergonomics
    • Related Report
      2021 Annual Research Report
  • [Presentation] 感性の数学的原理の探求2021

    • Author(s)
      柳澤秀吉
    • Organizer
      日本機械学会第31回設計工学・システム部門講演会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 期待としての安心感とその数理2021

    • Author(s)
      柳澤秀吉
    • Organizer
      安全工学シンポジウム2021
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 製品の機能・性能の探求を促す内発的動機付けの数理モデリング2021

    • Author(s)
      張晋赫、柳澤秀吉
    • Organizer
      Designシンポジウム2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 感性モデリング -感性のメタモデルを考える-2021

    • Author(s)
      柳澤秀吉,上田一貴,加藤健郎、 村松慶一,大泉和也
    • Organizer
      第23回日本感性工学会大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 自律移動ロボットの加速に対する人の予測のモデリング ー駆動力を潜在変数 とした加速に対する予測 と反応―2021

    • Author(s)
      岡田真範、柳澤秀吉
    • Organizer
      第23回日本感性工学会大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] AIエージェントへの対話を促す動機付けの数理モデル2021

    • Author(s)
      張晋赫、柳澤秀吉
    • Organizer
      ヒューマンインタフェースシンポジウム2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 閉曲線形状における「美的好み」の推定方法2021

    • Author(s)
      伊藤武將, 岡野晃大, 加藤健郎
    • Organizer
      Designシンポジウム2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 三次元形状における美的好みの定量化の試行2021

    • Author(s)
      松山和真, 岡本昌也, 加藤健郎
    • Organizer
      Designシンポジウム2021
    • Related Report
      2021 Annual Research Report
  • [Book] 知覚と感情の数理モデリング.「ヒトの感性・認知」解析への人工知能の活用とモデリング2021

    • Author(s)
      柳澤秀吉
    • Total Pages
      533
    • Publisher
      技術情報協会
    • ISBN
      9784861048746
    • Related Report
      2021 Annual Research Report
  • [Book] 脳波計測による感性,創造性の評価.ヒトの感性に寄り添った製品開発とその計測、評価技術2021

    • Author(s)
      上田一貴
    • Total Pages
      655
    • Publisher
      技術情報協会
    • ISBN
      9784861048630
    • Related Report
      2021 Annual Research Report

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Published: 2021-04-28   Modified: 2025-01-30  

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