• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

New framework of multiple kernel learning

Research Project

Project/Area Number 16K05264
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionHokkaido University

Principal Investigator

Tanaka Akira  北海道大学, 情報科学研究科, 教授 (20332471)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords機械学習 / カーネル回帰 / 再生核 / 再生核ヒルベルト空間 / 汎化性能 / 自己相関関数 / マルチカーネル
Outline of Final Research Achievements

We obtained the following two results in kernel-based machine learning.
1. We analyzed the theoretical limit of conventional multiple kernel learning, and clarified that (a) the optimal solution based on an ordinary 2-norm criterion can not achieve the theoretical limit of the multiple kernel model, and (b) the optimal solution is identical to the solution based on a certain single kernel model.
2. We developed a novel framework of kernel-based learning in which the autocorrelation prior of the unknown true function is taken into account, and also clarified that the autocorrelation function itself is the best kernel in terms of the expectation.

Academic Significance and Societal Importance of the Research Achievements

現代社会において、機械学習理論が果たす役割がますます増大するであろうことは最早論を俟たない。一方、それら技術の実用面での爆発的な発展とは裏腹に、理論的な背景や基盤が置き去りにされていることは、当該分野の未来にとって由々しき事態であると言わざるを得ない。
本研究課題で得た成果は、主に、機械学習理論における理論整備として位置づけられるものであり、当該分野の科学的な側面を補強する一助になるものと期待できる。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (11 results)

All 2018 2017 2016

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] Radar Detection-based Modeling in a Blast Furnace: a Prediction Model of Burden Surface Shape after Charging2018

    • Author(s)
      Tian Jiuzhou、Tanaka Akira、Hou Qingwen、Chen Xianzhong
    • Journal Title

      ISIJ International

      Volume: 58 Issue: 11 Pages: 1999-2008

    • DOI

      10.2355/isijinternational.ISIJINT-2018-267

    • NAID

      130007519674

    • ISSN
      0915-1559, 1347-5460
    • Year and Date
      2018-11-15
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Binary Sparse Representation Based on Arbitrary Quality Metrics and Its Applications2018

    • Author(s)
      Takahiro Ogawa, Sho Takahashi, Naofumi Wada, Akira Tanaka, Miki Haseyama
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E101.A Issue: 11 Pages: 1776-1785

    • DOI

      10.1587/transfun.E101.A.1776

    • NAID

      130007502787

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2018-11-01
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Image Demosaicing by Block-Based Linear Regression2017

    • Author(s)
      河野 克也, 田中 章
    • Journal Title

      電子情報通信学会論文誌D 情報・システム

      Volume: J100-D Issue: 5 Pages: 605-612

    • DOI

      10.14923/transinfj.2016JDP7097

    • ISSN
      1880-4535, 1881-0225
    • Year and Date
      2017-05-01
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Wiener-Based Inpainting Quality Prediction2017

    • Author(s)
      Takahiro Ogawa, Akira Tanaka, Miki Haseyama
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E100.D Issue: 10 Pages: 2614-2626

    • DOI

      10.1587/transinf.2017EDP7058

    • NAID

      130006110287

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sampling theorem through the theory of reproducing kernel Hilbert spaces2017

    • Author(s)
      田中 章
    • Journal Title

      THE JOURNAL OF THE ACOUSTICAL SOCIETY OF JAPAN

      Volume: 73 Issue: 9 Pages: 577-584

    • DOI

      10.20697/jasj.73.9_577

    • NAID

      130006407056

    • ISSN
      0369-4232, 2432-2040
    • Related Report
      2017 Research-status Report
  • [Journal Article] Theoretical Analyses on 2-Norm-Based Multiple Kernel Regressors2017

    • Author(s)
      Akira Tanaka, Hideyuki Imai
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E100.A Issue: 3 Pages: 877-887

    • DOI

      10.1587/transfun.E100.A.877

    • NAID

      130005397011

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Kernel-Induced Sampling Theorem for Translation-Invariant Reproducing Kernel Hilbert Spaces with Uniform Sampling2018

    • Author(s)
      Akira Tanaka
    • Organizer
      2018 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2018)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal Kernel in Kernel Regression Problems with Autocorrelation Prior2017

    • Author(s)
      Yuuki Saito, Akira Tanaka
    • Organizer
      APSIPA Annual Summit & Conference 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Iterative Zero Phase Method for White and Impulse Noise Reduction2017

    • Author(s)
      Akira Tanaka, Arata Kawamura
    • Organizer
      22th International Conference on Digital Signal Procerssing
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kernel Regression with Autocorrelation Prior2017

    • Author(s)
      Akira Tanaka
    • Organizer
      12th International Conference on Sampling Theory and Applications
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 再生核ヒルベルト空間の積空間におけるグラム行列の近似計算2016

    • Author(s)
      田中 章
    • Organizer
      第31回信号処理シンポジウム
    • Place of Presentation
      関西大学、吹田市、大阪府
    • Related Report
      2016 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2020-03-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi