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Construction of a universal exchange-correlation functional using informatics technology

Research Project

Project/Area Number 18K14184
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 32010:Fundamental physical chemistry-related
Research InstitutionWaseda University

Principal Investigator

IKABATA Yasuhiro  早稲田大学, 理工学術院, 次席研究員(研究院講師) (10728166)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2018: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsインフォマティクス / 機械学習 / 電子相関 / 密度汎関数理論 / ニューラルネットワーク / 群知能 / 相対論的量子化学
Outline of Final Research Achievements

In this project, we have developed the machine-learned electron correlation (ML-EC) model, which predicts the correlation energy density at the complete basis set limit of the CCSD(T) method from electron density and other density variables obtained by the Hartree-Fock calculation. The correlation energy density was defined by grid-based energy density analysis and composite method and adopted as the objective variable of machine learning. The neural network successfully reproduced the correlation energy and chemical properties with high accuracy. The frozen core approximation significantly reduced the computational cost of the objective variable, which enabled machine learning of heavy-element systems. These results paved the way for the construction of a general-purpose correlation model.

Academic Significance and Societal Importance of the Research Achievements

量子化学計算は化学における研究開発の多くで普及しているが、より高精度かつ高速な計算手法の開発は依然として重要である。近年、計算手法の開発に機械学習を用いるアプローチが注目されており、本研究課題で開発した機械学習型電子相関(ML-EC)モデルはその一つとして位置づけられる。相関エネルギー密度を電子密度の汎関数としてフィッティングする方法は以前から報告されていたが、ニューラルネットワークの使用により精度が飛躍的に向上した。本研究課題の成果に基づき汎用性の高い機械学習モデルを構築し公開することで、量子化学計算を用いた研究開発の促進に貢献することが期待される。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (56 results)

All 2021 2020 2019 2018

All Journal Article (17 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 17 results,  Open Access: 5 results) Presentation (39 results) (of which Int'l Joint Research: 12 results,  Invited: 1 results)

  • [Journal Article] Machine-learned electron correlation model based on frozen core approximation2020

    • Author(s)
      Yasuhiro Ikabata, Ryo Fujisawa, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai
    • Journal Title

      The Journal of Chemical Physics

      Volume: 153 Issue: 18 Pages: 184108-184108

    • DOI

      10.1063/5.0021281

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Relativistic local hybrid functionals and their impact on 1s core orbital energies2020

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Journal Title

      The Journal of Chemical Physics

      Volume: 152 Issue: 21 Pages: 214103-214103

    • DOI

      10.1063/5.0010400

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 機械学習を用いた運動エネルギー汎関数と電子相関モデルの構築2020

    • Author(s)
      五十幡康弘
    • Journal Title

      理論化学会誌「フロンティア」

      Volume: 2 Pages: 72-80

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orbital-free density functional theory calculation applying semi-local machine-learned kinetic energy density functional and kinetic potential2020

    • Author(s)
      Mikito Fujinami, Ryo Kageyama, Junji Seino, Yasuhiro Ikabata, Hiromi Nakai
    • Journal Title

      Chemical Physics Letters

      Volume: 748 Pages: 137358-137358

    • DOI

      10.1016/j.cplett.2020.137358

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spin-flip approach within time-dependent density functional tight-binding method: Theory and applications2020

    • Author(s)
      Mayu Inamori, Takeshi Yoshikawa, Yasuhiro Ikabata, Yoshifumi Nishimura, Hiromi Nakai
    • Journal Title

      Journal of Computational Chemistry

      Volume: 41 Issue: 16 Pages: 1538-1548

    • DOI

      10.1002/jcc.26197

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Unveiling controlling factors of the S0/S1 minimum energy conical intersection (2): Application to penalty function method2020

    • Author(s)
      Mayu Inamori, Yasuhiro Ikabata, Takeshi Yoshikawa, Hiromi Nakai
    • Journal Title

      The Journal of Chemical Physics

      Volume: 152 Issue: 14 Pages: 144108-144108

    • DOI

      10.1063/1.5142592

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Machine-learned electron correlation model based on correlation energy density at complete basis set limit2019

    • Author(s)
      Takuro Nudejima, Yasuhiro Ikabata, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai
    • Journal Title

      The Journal of Chemical Physics

      Volume: 151 Issue: 2 Pages: 024104-024104

    • DOI

      10.1063/1.5100165

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Efficient Semi-Numerical Implementation of Relativistic Exact Exchange within the Infinite-Order Two-Component Method using a modified Chain-of-Spheres Method2019

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Journal Title

      Jornal of Chemical Theory and Computation

      Volume: 15 Issue: 9 Pages: 4745-4763

    • DOI

      10.1021/acs.jctc.9b00228

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Semi-local machine-learned kinetic energy density functional demonstrating smooth potential energy curves2019

    • Author(s)
      Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai
    • Journal Title

      Chemical Physics Letters

      Volume: 734 Pages: 136732-136732

    • DOI

      10.1016/j.cplett.2019.136732

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Release of Relativistic Quantum Chemical Calculation Program RAQET2019

    • Author(s)
      五十幡康弘,吉川武司,中井浩巳
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 18 Issue: 3 Pages: A6-A11

    • DOI

      10.2477/jccj.2019-0022

    • NAID

      130007738092

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Relativistic Effect on Homogeneous Catalytic Reaction by Cationic Iridium Catalysts2019

    • Author(s)
      髙島千波,五十幡康弘,栗田久樹,高野秀明,柴田高範,中井浩巳
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 18 Issue: 3 Pages: 136-138

    • DOI

      10.2477/jccj.2019-0021

    • NAID

      130007738094

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Restoring the iso-orbital limit of the kinetic energy density in relativistic density functional theory2019

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Journal Title

      The Journal of Chemical Physics

      Volume: 151 Issue: 17 Pages: 174114-174114

    • DOI

      10.1063/1.5125634

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Extension and acceleration of relativistic density functional theory based on transformed density operator2019

    • Author(s)
      Y. Ikabata, T. Oyama, M. Hayami, J. Seino, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 150 Issue: 16 Pages: 164104-164104

    • DOI

      10.1063/1.5090523

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum chemical approach for positron annihilation spectra of atoms and molecules beyond plane-wave approximation2018

    • Author(s)
      Ikabata Yasuhiro、Aiba Risa、Iwanade Toru、Nishizawa Hiroaki、Wang Feng、Nakai Hiromi
    • Journal Title

      The Journal of Chemical Physics

      Volume: 148 Issue: 18 Pages: 184110-184110

    • DOI

      10.1063/1.5019805

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] RAQET: Large-scale two-component relativistic quantum chemistry program package2018

    • Author(s)
      M. Hayami, J. Seino, Y. Nakajima, M. Nakano, Y. Ikabata, T. Yoshikawa, T. Oyama, K. Hiraga, S. Hirata, H. Nakai
    • Journal Title

      J. Comput. Chem.

      Volume: 39 Issue: 27 Pages: 2333-2344

    • DOI

      10.1002/jcc.25364

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Theoretical Study on the Intersection Structures between Potential Energy Surfaces2018

    • Author(s)
      稲森 真由, 五十幡 康弘, 王 祺,中井 浩巳
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 17 Issue: 3 Pages: 124-126

    • DOI

      10.2477/jccj.2018-0021

    • NAID

      130007498244

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Unveiling Controlling Factors of the S0/S1 Minimum Energy Conical Intersection: A Theoretical Study2018

    • Author(s)
      H. Nakai, M. Inamori, Y. Ikabata, Q. Wang
    • Journal Title

      J. Phys. Chem. A

      Volume: 122 Issue: 45 Pages: 8905-8910

    • DOI

      10.1021/acs.jpca.8b07864

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 新規元素置換ペンタレン誘導体の合成および性質2021

    • Author(s)
      菓子田惇輝,庄子良晃,五十幡康弘,高秀雄,酒井隼人,羽曾部卓,中井浩巳,福島孝典
    • Organizer
      日本化学会第101春季年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 相対論的密度汎関数理論の開発:picture change補正と相対論的交換相関汎関数2020

    • Author(s)
      五十幡康弘
    • Organizer
      第6回電子状態理論シンポジウム
    • Related Report
      2020 Annual Research Report
  • [Presentation] 機械学習を用いた価電子の相関エネルギー予測2020

    • Author(s)
      藤澤遼,五十幡康弘,清野淳司,吉川武司,中井浩巳
    • Organizer
      第10回CSJ化学フェスタ2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] 機械学習型電子相関モデルの開発: 凍結内殻近似の適用2020

    • Author(s)
      藤澤遼,五十幡康弘,清野淳司,吉川武司,中井浩巳
    • Organizer
      分子科学オンライン討論会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Relativistic Local Hybrid Functionals and Their Impact on 1s Core Orbital Energies2020

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      XIIIth Workshop on Modern Methods in Quantum Chemistry (MMQC2020)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Development of the machine-learned correlation model: systematic assessment on chemical properties2020

    • Author(s)
      Yasuhiro Ikabata, Junji Seino, Takeshi Yoshikawa, Ryo Fujisawa, Hiromi Nakai
    • Organizer
      日本化学会第100春季年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 凍結内殻近似に基づく機械学習型電子相関モデルの開発2020

    • Author(s)
      藤澤遼,五十幡康弘,清野淳司,吉川武司,中井浩巳
    • Organizer
      日本化学会第100春季年会
    • Related Report
      2019 Research-status Report
  • [Presentation] Machine-Learned Correlation Model for Accurate and Efficient Computation of Correlation Energy2019

    • Author(s)
      Yasuhiro Ikabata, Takuro Nudejima, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai
    • Organizer
      The 5th International Conference on Molecular Simulation (ICMS2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Orbital-free density functional theory calculation combined with semi-local machine-learned kinetic energy density functional2019

    • Author(s)
      Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      2nd Global Forum on Advanced Materials and Technologies for Sustainable Development (GFMAT-2)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Machine-learned electron correlation model for accurate reproduction of correlation energy at the basis-set limit2019

    • Author(s)
      Yasuhiro Ikabata, Takuro Nudejima, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai
    • Organizer
      The Nineth Conference of the Asia-Pacific Association of Theoretical and Computational Chemists (APATCC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Machine-Learned Electron Correlation Model in the Form of Density Functional2019

    • Author(s)
      Yasuhiro Ikabata, Takuro Nudejima, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai
    • Organizer
      18th International Conference on Density-Functional Theory and its Applications (DFT2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Local Hybrid Functionals for Relativistic 1s Core Orbital Shifts2019

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      18th International Conference on Density-Functional Theory and its Applications (DFT2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Machine-Learned Kinetic Energy Functional in Isolated Systems and its Combination with Orbital-Free Density Functional Theory2019

    • Author(s)
      Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      Materials Research Meeting 2019 (MRM2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Semi-local machine-learned kinetic energy density functional for orbital-free density functional theory2019

    • Author(s)
      Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      The Nineth Conference of the Asia-Pacific Association of Theoretical and Computational Chemists (APATCC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Key factor of S0/S1 minimum energy conical intersection2019

    • Author(s)
      Mayu Inamori, Yasuhiro Ikabata, Takeshi Yoshikawa, Hiromi Nakai
    • Organizer
      The Nineth Conference of the Asia-Pacific Association of Theoretical and Computational Chemists (APATCC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relativistic 1s Core Orbital Shifts using Local Hybrid Functionals2019

    • Author(s)
      Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai
    • Organizer
      10th congress of the International Society of Theoretical Chemical Physics (ISTCP-X)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 機械学習型電子相関モデルの開発と数値検証2019

    • Author(s)
      五十幡康弘,橳嶋拓朗,清野淳司,吉川武司,藤澤遼,中井浩巳
    • Organizer
      第42回ケモインフォマティクス討論会
    • Related Report
      2019 Research-status Report
  • [Presentation] 相対論的量子化学計算プログラムRAQETの公開2019

    • Author(s)
      五十幡康弘,吉川武司,中井浩巳
    • Organizer
      日本コンピュータ化学会2019年春季年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 相関エネルギー密度の完全基底極限に基づく機械学習型電子相関モデルの開発2019

    • Author(s)
      五十幡康弘,橳嶋拓朗,清野淳司,吉川武司,中井浩巳
    • Organizer
      第22回理論化学討論会
    • Related Report
      2019 Research-status Report
  • [Presentation] ジアザジボレチジン誘導体の励起状態特性に関する理論的研究2019

    • Author(s)
      五十幡康弘,庄子良晃,福島孝典,中井浩巳
    • Organizer
      第13回分子科学討論会
    • Related Report
      2019 Research-status Report
  • [Presentation] 円錐交差構造の電子状態に関する知見の探索とその応用2019

    • Author(s)
      稲森真由,五十幡康弘,中井浩巳
    • Organizer
      第13回分子科学討論会
    • Related Report
      2019 Research-status Report
  • [Presentation] カチオン性イリジウム触媒を用いた均一系触媒反応における相対論効果2019

    • Author(s)
      髙島千波,五十幡康弘,栗田久樹,高野秀明,柴田高範,中井浩巳
    • Organizer
      日本コンピュータ化学会2019年春季年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 機械学習型半局所的運動エネルギー汎関数に基づくorbital-free密度汎関数理論の開発2019

    • Author(s)
      清野淳司,影山椋,藤波美起登,五十幡康弘,中井浩巳
    • Organizer
      第22回理論化学討論会
    • Related Report
      2019 Research-status Report
  • [Presentation] Orbital-free density functional theory with semi-local machine-learned kinetic energy density functional2019

    • Author(s)
      J. Seino, R. Kageyama, M. Fujinami, Y. Ikabata, H. Nakai
    • Organizer
      PRESTO International Symposium on Materials Informatics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] イリジウム触媒によるベンズアニリド類の位置選択的かつエナンチオ選択的C-H共役付加 ならびに反応機構解析2019

    • Author(s)
      栗田 久樹,髙島 千波,五十幡 康弘,高野 秀明,Kyalo Stephen Kanyiva,中井 浩巳,柴田 高範
    • Organizer
      日本化学会第99春季年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 機械学習を用いたpost-Hartree-Fock電子相関モデルの開発2019

    • Author(s)
      橳嶋 拓朗,五十幡 康弘,清野 淳司,影山 椋,吉川 武司,中井 浩巳
    • Organizer
      日本化学会第98春季年会
    • Related Report
      2018 Research-status Report
  • [Presentation] ジアザジボレチジン-シクロブタジエンBNアナログの分子・電子構造と励起状態特性2019

    • Author(s)
      庄子 良晃,Ryzhii Ivan,五十幡 康弘,王 祺,中井 浩巳,生駒 忠昭,福島 孝典
    • Organizer
      日本化学会第99春季年会
    • Related Report
      2018 Research-status Report
  • [Presentation] イリジウム触媒を用いたベンズアニリド類のC-H結合活性化反応における相対論効果の解析2019

    • Author(s)
      髙島 千波,五十幡 康弘,栗田 久樹,高野 秀明,柴田 高範,中井 浩巳
    • Organizer
      日本化学会第99春季年会
    • Related Report
      2018 Research-status Report
  • [Presentation] Development of picture-change corrected relativistic density functional theory2018

    • Author(s)
      Y. Ikabata, T. Oyama, M. Hayami, J. Seino, H. Nakai
    • Organizer
      16th International Congress of Quantum Chemistry (16-ICQC)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 2成分picture change補正相対論的密度汎関数理論の開発2018

    • Author(s)
      五十幡 康弘,大山 拓郎,速水 雅生,清野 淳司,中井 浩巳
    • Organizer
      第21回理論化学討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] 機械学習を用いたOrbital-free密度汎関数理論計算手法の開発2018

    • Author(s)
      影山 椋,清野 淳司,藤波 美起登,五十幡 康弘,中井 浩巳
    • Organizer
      第41回ケモインフォマティクス討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] Local Hybrid Functionals within the Infinite-Order Douglas-Kroll-Hess Method2018

    • Author(s)
      T. Maier, Y. Ikabata, H. Nakai
    • Organizer
      第21回理論化学討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] 円錐交差構造における電子状態に関する理論的研究2018

    • Author(s)
      稲森 真由,五十幡 康弘,王 祺,中井 浩巳
    • Organizer
      第21回理論化学討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] 機械学習による半局所運動エネルギー密度汎関数の開発:計算精度の記述子依存性2018

    • Author(s)
      清野 淳司,影山 椋,藤波 美起登,五十幡 康弘,中井 浩巳
    • Organizer
      第21回理論化学討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] 機械学習による電子密度最適化のための運動ポテンシャル汎関数の開発2018

    • Author(s)
      影山 椋,清野 淳司,藤波 美起登,五十幡 康弘,中井 浩巳
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Research-status Report
  • [Presentation] 機械学習を用いた交換相関汎関数の開発2018

    • Author(s)
      橳嶋 拓朗,五十幡 康弘,清野 淳司,影山 椋,藤波 美起登,中井 浩巳
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Research-status Report
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    • Author(s)
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    • Organizer
      ポスト「京」第5回公開シンポジウム
    • Related Report
      2018 Research-status Report
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    • Author(s)
      清野 淳司,影山 椋,藤波 美起登,五十幡 康弘,中井 浩巳
    • Organizer
      ポスト「京」第5回公開シンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] 円錐交差構造における電子状態的な支配因子の探索2018

    • Author(s)
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    • Organizer
      ポスト「京」第5回公開シンポジウム
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2022-01-27  

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