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Empirical Bayes Kernels: Unsupervised Kernel Learning

Research Project

Project/Area Number 25540100
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Intelligent informatics
Research InstitutionKyoto University

Principal Investigator

CUTURI Marco  京都大学, 情報学研究科, 准教授 (80597344)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords機械学習 / 距離学習 / ヒストグラムデータ / Metric learning / Kernel learning / Aitchison geometry / Probability Simplex / Contrastive Divergence / Stochastic Optimization / metric learning / kernel methods / probability simplex / empirical Bayes
Outline of Final Research Achievements

Our goal in this work was to provide a principled approach to carry out kernel/metric learning in an unsupervised way, to take advantage of large datasets of unlabeled data. We investigated this research avenue by focusing mostly on histogram data (bags-of-features). Using a combination of 3 known approaches by Aitchison, Lebanon and Hinton, we were able to propose different algorithms which perform at state-of-the art level or directly outperform competing approaches.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • Research Products

    (7 results)

All 2015 2013 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (1 results) (of which Invited: 1 results) Remarks (2 results)

  • [Journal Article] Unsupervised Riemannian Metric Learning for Histograms Using Aitchison Transformations2015

    • Author(s)
      Tam Le, Marco Cuturi
    • Journal Title

      Journal of Machine Learning Research, Workshop and Conference Proceedings, ICML 2015

      Volume: 未定

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Adaptive Euclidean maps for histograms: generalized Aitchison embeddings2015

    • Author(s)
      Tam Le, Marco Cuturi
    • Journal Title

      Machine Learning

      Volume: 99(2) Issue: 2 Pages: 169-187

    • DOI

      10.1007/s10994-014-5446-z

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Generalized Aitchison Embeddings for Histograms2013

    • Author(s)
      Tam Le, Marco Cuturi
    • Journal Title

      JMLR: Workshop and Conference Proceedings 29:293{308, 2013

      Volume: 29 Pages: 293-308

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sinkhorn distances: Lightspeed computation of optimal transport2013

    • Author(s)
      Marco Cuturi
    • Journal Title

      Advances in Neural Information Processing Systems

      Volume: 26 Pages: 2292-2300

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances2013

    • Author(s)
      Marco Cuturi
    • Organizer
      Workshop Computational Optimal Transport
    • Place of Presentation
      Institut Henri Poincare
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] Code for Generalized Aitchison Embeddings

    • URL

      https://sites.google.com/site/lttamvn/research/generalized-aitchison-embeddings

    • Related Report
      2014 Annual Research Report
  • [Remarks] Sinkhorn Scaling for Optimal Transport

    • URL

      http://www.iip.ist.i.kyoto-u.ac.jp/member/cuturi/SI.html

    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2021-04-07  

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