Tomohiro HAYASE (早瀬 友裕)

Doctoral student
Supervisor: Yasuyuki Kawahigashi
The University of Tokyo
Graduate School of Mathematical Sciences
Komaba, Tokyo
Japan
CV

Github

mail: hayase[at]
ms.u-tokyo.ac.jp

Interests


My research interests include not only Free Probability Theory itself, but also its applications. Random Matrix Theory, Statistical Learning Theory, Operator Algebras, Functional analysis, Quantum Information Theory are also in my interests.

Papers


  1. T. Hayase, "Cauchy noise loss for stochastic optimization of random matrix models via free deterministic equivalents",
    arXiv preprint arXiv:1804.03154, submitted.
  2. T. Hayase, "Free deterministic equivalent Z-scores of compound Wishart models: A goodness of fit test of 2DARMA models",
    arXiv preprint arXiv:1710:09497, submitted.
  3. T. Hayase, "De Finetti theorem for a Boolean anaolgue of easy quantum groups",
    J. Math. Sci., vol. 24, no. 03, pp. 355~398, 2017 ( arXiv:1507.05563).

Talks


Conferences

The symbol * indicates an invited talk at an international conference.
  1. (Poster) Cauchy noise loss for stochastic optimization of random matrix models via free deterministic equivalents, Random matrices and their applications, Kyoto University (Japan), May, 2018
  2. Cauchy noise loss: A machine learning approach to random matrices and free probability, Noncommutative probability theory and its applications, Ochanomizu University (Japan), Dec., 2017
  3. *De Finetti theorems for a Boolean analogue of easy quantum groups
    Free Probability and the Large N Limit, V, UC Berkeley (USA), Mar., 2016
  4. Free product of von Neumann algebras
    Workshop of Free monotone transport, Tiba (Japan), Mar., 2016.
  5. Cumulants in noncommutative probability
    The 50-th Functional Analysis Workshop, Karuizawa (Japan), Sep., 2015.
  6. A symmetry in free probability: Quantum de Finetti theorem
    The 49-th Functional Analysis Workshop, Gifu (Japan), Aug., 2014.

Seminars

  1. On Cauchy noise loss in a stochastic parameter optimization of random matrices,
    Functional analysis seminar, The University of Tokyo (Japan), Feb., 2018
  2. An inverse problem in random matrix theory and free probability theory,
    Functional analysis seminar, Saarland university (Germany), Nov., 2017
  3. An inverse problem in random matrices and free probability,
    research seminar, Institute Henri Pincare, UPMC (France), Nov., 2017
  4. Bayesian statistics and random matrices,
    Functional analysis seminar, Department of Mathematics, Hokkaido University (Japan), Aug., 2017
  5. Fluctuation of random matrices and genus expansion,
    Operator algebras seminar, Kyoto University (Japan), July, 2017
  6. Compression of convolutional layers by variational Bayesian matrix factrorization
    (Japan), Harada lab weakly seminar, Graduate School of Information Science and Technology, The University of Tokyo (Japan), June, 2017. (slide)
  7. Genus expansion of random matrices and free deterministic equivalents,
    Free probability seminar, Ochanomizu University (Japan), May, 2017
  8. De Finetti theorems for a Boolean analogue of easy quantum groups,
    Free probability seminar, Saarland university (Germany), Aug., 2015.
  9. De Finetti theorems for a Boolean analogue of easy quantum groups
    Operator algebras seminar, The University of Tokyo (Japan), July, 2014.

Jobs


Teaching Jobs

  1. Teaching assistant, Analisys class III, A semester, 2015.
  2. Teaching assistant, Analisys class III, winter semister, 2014.

Research Jobs

  1. Assistant of Research (object detection and classification) at Morpho.inc , 2016 ~ 2017

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