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Development of machine learning method for distribution data based on information geometry

Research Project

Project/Area Number 17H01793
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionNational Institute of Advanced Industrial Science and Technology

Principal Investigator

Akaho Shotaro  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 (40356340)

Co-Investigator(Kenkyū-buntansha) 藤木 淳  福岡大学, 理学部, 教授 (10357907)
日野 英逸  統計数理研究所, モデリング研究系, 教授 (10580079)
村田 昇  早稲田大学, 理工学術院, 教授 (60242038)
Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2021: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2020: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2019: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2018: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2017: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords機械学習 / ノンパラメトリック / 情報幾何 / 学習アルゴリズム / 情報幾何学 / ノンパラメトリック推定 / ガウス過程 / モーダル回帰 / 非負値行列分解
Outline of Final Research Achievements

An effective way to handle large amounts of data by machine learning is to reduce the data to the parameters of a probability distribution. In this project, we have been working on the development of machine learning for such data. Originally, there was a study of extending principal component analysis to distributional data, which had been developed by a project member. The significant contribution of this project was to extend it to a more flexible nonparametric framework, which was achieved through information geometry of Gaussian process regression and other methods. We have also been able to apply information geometry to neuroscience and geophysics through the application of matrix factorization.

Academic Significance and Societal Importance of the Research Achievements

機械学習では、通常実数値ベクトルを入力として学習が行われることが前提であるが、大量のデータを集約した分布のパラメータなどは実数値として扱うことが必ずしも適切ではない。本研究課題では、そのような分布データに関する機械学習の手法を理論・応用の両面から深化させ、さまざまな応用課題(神経科学や地球科学をはじめとする多くの分野)に適用するための方法論を確立したことにある。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (34 results)

All 2022 2021 2020 2019 2018 2017

All Journal Article (16 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 16 results,  Open Access: 11 results) Presentation (18 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Principal Component Analysis for Gaussian Process Posteriors2022

    • Author(s)
      Ishibashi Hideaki、Akaho Shotaro
    • Journal Title

      Neural Computation

      Volume: 34 Issue: 5 Pages: 1189-1219

    • DOI

      10.1162/neco_a_01489

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Detecting cell assemblies by NMF-based clustering from calcium imaging data2022

    • Author(s)
      Nagayama Mizuo、Aritake Toshimitsu、Hino Hideitsu、Kanda Takeshi、Miyazaki Takehiro、Yanagisawa Masashi、Akaho Shotaro、Murata Noboru
    • Journal Title

      Neural Networks

      Volume: 149 Pages: 29-39

    • DOI

      10.1016/j.neunet.2022.01.023

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Full-Span Log-Linear Model and Fast Learning Algorithm2022

    • Author(s)
      Kazuya Takabatake, Shotaro Akaho
    • Journal Title

      Neural Computation

      Volume: 34

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Fast and robust multiplane single-molecule localization microscopy using a deep neural network2021

    • Author(s)
      Aritake Toshimitsu、Hino Hideitsu、Namiki Shigeyuki、Asanuma Daisuke、Hirose Kenzo、Murata Noboru
    • Journal Title

      Neurocomputing

      Volume: 451 Pages: 279-289

    • DOI

      10.1016/j.neucom.2021.04.050

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] α-Geodesical Skew Divergence2021

    • Author(s)
      Kimura Masanari、Hino Hideitsu
    • Journal Title

      Entropy

      Volume: 23 Issue: 5 Pages: 528-528

    • DOI

      10.3390/e23050528

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sparse isocon analysis: A data-driven approach for material transfer estimation2020

    • Author(s)
      Kuwatani Tatsu、Yoshida Kenta、Ueki Kenta、Oyanagi Ryosuke、Uno Masaoki、Akaho Shotaro
    • Journal Title

      Chemical Geology

      Volume: 532 Pages: 119345-119345

    • DOI

      10.1016/j.chemgeo.2019.119345

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Single-Molecule Localization by Voxel-Wise Regression Using Convolutional Neural Network.2020

    • Author(s)
      Aritake T, Hino H, Namiki S, Asanuma D, Hirose K, Murata N
    • Journal Title

      Results in Optics

      Volume: 1 Pages: 100019-100019

    • DOI

      10.1016/j.rio.2020.100019

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Diffusion equations from master equations:A discrete geometric approach2020

    • Author(s)
      Goto Shin-itiro、Hino Hideitsu
    • Journal Title

      Journal of Mathematical Physics

      Volume: 61 Issue: 11 Pages: 113301-113301

    • DOI

      10.1063/5.0003656

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Expectation Variables on a Para-Contact Metric Manifold Exactly Derived from Master Equations2019

    • Author(s)
      Shin-itiro Goto and Hideitsu Hino
    • Journal Title

      GSI 2019, Lecture Notes in Computer Science

      Volume: 11712 Pages: 239-247

    • DOI

      10.1007/978-3-030-26980-7_25

    • ISBN
      9783030269791, 9783030269807
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Information and contact geometric description of expectation variables exactly derived from master equations2019

    • Author(s)
      Shin-itiro Goto and Hideitsu Hino
    • Journal Title

      Physica Scripta

      Volume: 95 Issue: 1 Pages: 015207-015207

    • DOI

      10.1088/1402-4896/ab4295

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On a Convergence Property of a Geometrical Algorithm for Statistical Manifolds2019

    • Author(s)
      Akaho Shotaro、Hino Hideitsu、Murata Noboru
    • Journal Title

      ICONIP 2019: Neural Information Processing (CCIS)

      Volume: 1143 Pages: 262-272

    • DOI

      10.1007/978-3-030-36802-9_29

    • ISBN
      9783030368012, 9783030368029
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimation of neural connections from partially observed neural spikes2018

    • Author(s)
      Iwasaki Taishi、Hino Hideitsu、Tatsuno Masami、Akaho Shotaro、Murata Noboru
    • Journal Title

      Neural Networks

      Volume: 108 Pages: 172-191

    • DOI

      10.1016/j.neunet.2018.07.019

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical Formulation of the Nonnegative Matrix Factorization2018

    • Author(s)
      Akaho Shotaro、Hino Hideitsu、Nara Neneka、Murata Noboru
    • Journal Title

      International Conference on Neural Information Processing (LNCS(

      Volume: 11303 Pages: 525-534

    • DOI

      10.1007/978-3-030-04182-3_46

    • ISBN
      9783030041816, 9783030041823
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Information Geometric Perspective of Modal Linear Regression2018

    • Author(s)
      Sando Keishi、Akaho Shotaro、Murata Noboru、Hino Hideitsu
    • Journal Title

      International Conference on Neural Information Processing

      Volume: 11303 Pages: 535-545

    • DOI

      10.1007/978-3-030-04182-3_47

    • ISBN
      9783030041816, 9783030041823
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Progressive evolution of whole-rock composition during metamorphism revealed by multivariate statistical analyses2017

    • Author(s)
      Yoshida Kenta、Kuwatani Tatsu、Hirajima Takao、Iwamori Hikaru、Akaho Shotaro
    • Journal Title

      Journal of Metamophic Geology

      Volume: 36 Issue: 1 Pages: 41-54

    • DOI

      10.1111/jmg.12282

    • NAID

      120006460068

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] ider: Intrinsic Dimension Estimation with R2017

    • Author(s)
      H. Hino
    • Journal Title

      R Journal

      Volume: 9 Pages: 329-341

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] e(m)-PCAを用いた2クラス分類に向けて2022

    • Author(s)
      藤木淳,赤穂昭太郎
    • Organizer
      電子情報通信学会 NC 研究会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 変数の拡張に対する最適輸送を用いたドメイン適応2022

    • Author(s)
      有竹俊光,日野英逸
    • Organizer
      電子情報通信学会 IBISML 研究会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 共変量シフトの情報幾何2022

    • Author(s)
      木村正成,日野英逸
    • Organizer
      電子情報通信学会 IBISML 研究会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Bayesian Dynamic Mode Decomposition with Variational Matrix Factorization2021

    • Author(s)
      Takahiro Kawashima, Hayaru Shouno, Hideitsu Hino
    • Organizer
      The Thirty-Fifth AAAI Conference on Artificial Intelligence (AAAI2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 背景学習による対象領域抽出2020

    • Author(s)
      中村凌, 植田祥明, 藤木淳, 田中勝
    • Organizer
      MIRU2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] 2色刷りされたカラー文書画像の色相補正に関する一提案2020

    • Author(s)
      植田祥明, 藤木淳
    • Organizer
      MIRU2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] 非負値行列因子分解を用いたカルシウムイメージンクデータからの睡眠状態解析2019

    • Author(s)
      永山瑞生・有竹俊光・日野英逸・上田壮志・宮崎峻弘・柳沢正史・赤穂昭太郎・村田 昇
    • Organizer
      電子情報通信学会 IBISML 研究会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Sleep State Analysis Using Calcium Imaging Data by Non-negative Matrix Factorization2019

    • Author(s)
      Mizuo Nagayama, Toshimitsu Aritake, Hideitsu Hino, Takeshi Kanda, Toshihiro Miyazaki, Masashi Yanagisawa, Shotaro Akaho, Noboru Murata
    • Organizer
      International Conference on Artificial Neural Networks 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Estimation of Material Transfer from Compositional Dataset Using Sparse Modeling2019

    • Author(s)
      Tatsu Kuwatani, Kenta Yoshida, Kenta Ueki, Ryosuke Oyanagi, Masaki Uno, Shotaro Akaho
    • Organizer
      Asia Oceania Geosciences Society 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] スパースモデリングによる沈み込み帯深部流体活動の定量的見積り2019

    • Author(s)
      吉田健太, 桑谷 立, 上木賢太, 大柳良介, 赤穗 昭太郎
    • Organizer
      日本地質学会第126年学術大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] スパースアイソコン法の資源探査分野への応2019

    • Author(s)
      桑谷 立,赤穂昭太郎
    • Organizer
      資源・素材2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] 情報幾何に基づくガウス過程事後分布集合の次元削減法2019

    • Author(s)
      石橋 英朗, 赤穂昭太郎
    • Organizer
      電子情報通信学会 IBISML 研究会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 全岩化学組成データセットからのプロセス推定:カコウ岩の風化を例に2018

    • Author(s)
      桑谷立,赤穂昭太郎
    • Organizer
      日本地質学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 岩石風化プロセスのフォーワードモデリングと逆解析2018

    • Author(s)
      桑谷立,赤穂昭太郎
    • Organizer
      資源・素材学会秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 深層ニューラルネットワークにおけるFisher情報行列の普遍性2018

    • Author(s)
      唐木田亮,赤穂昭太郎,甘利俊一
    • Organizer
      IBIS2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 最頻値線形回帰の情報幾何2018

    • Author(s)
      三戸圭史,赤穂昭太郎,村田 昇,日野英逸
    • Organizer
      第32回情報論的学習理論と機械学習研究会(IBISML)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 事後分布推定されたガウス過程間のKLダイバージェンスは有限次元の正規分布間のKLダイバージェンスで評価できる2017

    • Author(s)
      石橋英朗,古川 徹生,赤穂昭太郎
    • Organizer
      情報論的学習理論ワークショップ(IBIS2017)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 深層学習による楽器音の音名識別2017

    • Author(s)
      江口 脩,田中 勝,藤木 淳,栗田 多喜夫
    • Organizer
      画像の認識・理解シンポジウム(MIRU2017)
    • Related Report
      2017 Annual Research Report

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Published: 2017-04-28   Modified: 2023-01-30  

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