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Statistical mechanics and Information processing for optimization and control by nonequilibrium relation

Research Project

Project/Area Number 24740263
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyoto University

Principal Investigator

Ohzeki Masayuki  京都大学, 情報学研究科, 助教 (80447549)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords最適化問題 / 機械学習 / 非平衡統計力学 / スピングラス / 誤り訂正 / 物性基礎論 / カンニング / 深層学習 / 変分原理 / 詳細釣り合い / 非平衡定常系 / 平衡状態 / マルコフ連鎖モンテカルロ / 揺らぎの定理 / 量子誤り訂正符号
Outline of Final Research Achievements

The research project aims at investigation and proposal for solving optimization problem by use of the various nonequilibrium relation such as fluctuation theorem and Jarzynski equality through analyses of various spin glass models.
【The first year representative result】Masayuki Ohzeki, Phys. Rev. E 86, 061110 (2012), 【the second year representative result】Akihisa Ichiki and Masayuki Ohzeki, Phys. Rev. E 88, 020101(R) (2013), 【The third year representative result】Masayuki Ohzeki and Akihisa Ichiki, Phys. Rev. E 92, 012105 (2015)

Report

(4 results)
  • 2015 Final Research Report ( PDF )
  • 2014 Annual Research Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (55 results)

All 2015 2014 2013 2012 Other

All Journal Article (16 results) (of which Peer Reviewed: 16 results,  Acknowledgement Compliant: 4 results,  Open Access: 3 results) Presentation (34 results) (of which Invited: 13 results) Book (2 results) Remarks (3 results)

  • [Journal Article] L1-Regularized Boltzmann Machine Learning Using Majorizer Minimization2015

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 84 Issue: 5 Pages: 054801-054801

    • DOI

      10.7566/jpsj.84.054801

    • NAID

      210000133563

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Inverse Renormalization Group Transformation in Bayesian Image Segmentations2015

    • Author(s)
      Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda and Masayuki Ohzeki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 4 Pages: 04001-04001

    • DOI

      10.7566/jpsj.84.045001

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Statistical-Mechanical Analysis of Pre-training and Fine Tuning in Deep Learning2015

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 84 Issue: 3 Pages: 034003-034003

    • DOI

      10.7566/jpsj.84.034003

    • NAID

      40020394863

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials2015

    • Author(s)
      Masayuki Ohzeki, Jesper Lykke Jacobsen
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 48 Issue: 9 Pages: 095001-095001

    • DOI

      10.1088/1751-8113/48/9/095001

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Detection of Cheating by Decimation Algorithm2015

    • Author(s)
      Shogo Yamanaka, Masayuki Ohzeki, Aurélien Decelle
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 84 Issue: 2 Pages: 024801-024801

    • DOI

      10.7566/jpsj.84.024801

    • NAID

      120005530944

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Violation of detailed balance accelerates relaxation2013

    • Author(s)
      Akihisa Ichiki and Masayuki Ohzeki
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 2

    • DOI

      10.1103/physreve.88.020101

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium work relation in macroscopic system2013

    • Author(s)
      Yuki Sughiyama and Masayuki Ohzeki
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2013 Issue: 04 Pages: P04012-P04012

    • DOI

      10.1088/1742-5468/2013/04/p04012

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Belief propagation with multipoint correlations and its application to Inverse problem2013

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 473 Pages: 12005-12005

    • DOI

      10.1088/1742-6596/473/1/012005

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Variational Principle in Langevin Processes2013

    • Author(s)
      Yuki Sughiyama and Masayuki Ohzeki
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 19 Issue: 1 Pages: 93-99

    • DOI

      10.4036/iis.2013.93

    • NAID

      110009795597

    • ISSN
      1340-9050, 1347-6157
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Challenge for Critical Point of Spin Glass in Ground State2013

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 19 Issue: 1 Pages: 65-71

    • DOI

      10.4036/iis.2013.65

    • NAID

      110009795577

    • ISSN
      1340-9050, 1347-6157
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Duality analysis and its application: bond percolation2013

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Physical Review E

      Volume: 87 Issue: 1

    • DOI

      10.1103/physreve.87.012137

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Measurement-Based Quantum Computation on Symmetry Breaking Thermal States2013

    • Author(s)
      K. Fujii, Y. Nakata, M. Ohzeki, and M. Murao
    • Journal Title

      Physical Review Letters

      Volume: 110 Issue: 12 Pages: 120502-120502

    • DOI

      10.1103/physrevlett.110.120502

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Strong Resilience of Topological Codes to Depolarization2012

    • Author(s)
      Hector Bombin, Ruben S. Andrist, Masayuki Ohzeki, Helmut G. Katzgraber and Miguel Angel Martin-Delgado
    • Journal Title

      Physical Review X

      Volume: 2 Issue: 2

    • DOI

      10.1103/physrevx.2.021004

    • NAID

      120004205170

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Error threshold estimations in surface code with loss of qubits2012

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Physical Review A

      Volume: 85 Issue: 6

    • DOI

      10.1103/physreva.85.060301

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Duality analysis on random planar lattice2012

    • Author(s)
      Masayuki Ohzeki, and Keisuke Fujii
    • Journal Title

      Physical Review E

      Volume: 86 Issue: 5

    • DOI

      10.1103/physreve.86.051121

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fluctuation Theorems on Nishimori Line2012

    • Author(s)
      Masayuki Ohzeki
    • Journal Title

      Physical Review E

      Volume: 86 Issue: 6

    • DOI

      10.1103/physreve.86.061110

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 詳細つりあいを破るランジュバン系のモンテカルロ法2015

    • Author(s)
      大関真之、一木輝久
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学、早稲田キャンパス、東京都新宿区
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] Markov過程の最適化と詳細釣り合いの破れ2015

    • Author(s)
      高橋和孝、大関真之
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学、早稲田キャンパス、東京都新宿区
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] 詳細釣り合いを破るランジュバン系の数理2015

    • Author(s)
      大関真之
    • Organizer
      Break and Beyond Detailed Balance Condition
    • Place of Presentation
      京都大学、吉田泉殿、京都市
    • Year and Date
      2015-03-17 – 2015-03-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] ボルツマン機械学習によるカンニング検出技術2015

    • Author(s)
      大関真之
    • Organizer
      第20回情報論的学習理論と機械学習 (IBISML) 研究会
    • Place of Presentation
      京都大学、吉田キャンパス、京都市
    • Year and Date
      2015-03-05 – 2015-03-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Mathematical understanding of violation of detailed balance condition and its application to Langevin dynamics2015

    • Author(s)
      大関真之
    • Organizer
      2015 Workshop on Statistical Physics of Disordered Systems and Its Applications (SPDSA2015)
    • Place of Presentation
      京都大学、吉田泉殿、京都市
    • Year and Date
      2015-02-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] スピングラス理論とグラフ多項式2014

    • Author(s)
      大関真之
    • Organizer
      Two or Three Things We Know About Statistical Mechanics
    • Place of Presentation
      東北大学、片平キャンパス、仙台市
    • Year and Date
      2014-12-22 – 2014-12-23
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] データと数理をつなぐ圧縮センシング2014

    • Author(s)
      大関真之
    • Organizer
      スパースモデリングチュートリアル講演会
    • Place of Presentation
      東京工業大学、すずかけ台キャンパス、横浜市緑区
    • Year and Date
      2014-12-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Mathematical understanding of violation of detailed balance condition and its application to Langevin dynamics2014

    • Author(s)
      大関真之
    • Organizer
      Statphys-KolkataVIII
    • Place of Presentation
      S. N. Bose National Centre for Basic Sciences、Kolkata、India
    • Year and Date
      2014-12-01 – 2014-12-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Anatomical Labeling with Probabilistic Inference for Diffusion Tensor Imaging of Human Brain2014

    • Author(s)
      山本詩子、大関真之、廣安知之
    • Organizer
      Neuro Science 2014
    • Place of Presentation
      Washington D.C., USA
    • Year and Date
      2014-11-15 – 2014-11-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] time-of-flight MRA画像の疎性に関する検討2014

    • Author(s)
      藤本晃司、伏見育崇、山本憲、岡田知久、田中利幸、大関真之、富樫かおり
    • Organizer
      第42回磁気共鳴医学会
    • Place of Presentation
      京都ホテルグランヴィア、京都市
    • Year and Date
      2014-09-18 – 2014-09-20
    • Related Report
      2014 Annual Research Report
  • [Presentation] 確率的推論による脳画像の自動ラベリング手法の検討2014

    • Author(s)
      山本詩子、大関真之、廣安知之
    • Organizer
      第42回磁気共鳴医学会
    • Place of Presentation
      京都ホテルグランヴィア、京都市
    • Year and Date
      2014-09-18 – 2014-09-20
    • Related Report
      2014 Annual Research Report
  • [Presentation] 匂いを嗅ぎ分ける?圧縮センシング技術2014

    • Author(s)
      大関真之
    • Organizer
      匂い・脳科学・機械学習の接点
    • Place of Presentation
      京都大学、吉田泉殿、京都市
    • Year and Date
      2014-09-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 繰り込み双対変換によるスピングラス模型の全温度領域の相境界2014

    • Author(s)
      大関真之、Jesper Lykke Jacobsen
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学、春日井キャンパス、春日井市
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 半教師ありクラスタリングの情報統計力学2014

    • Author(s)
      大関真之、田中利幸
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学、春日井キャンパス、春日井市
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] スパース性を用いた金ナノクラスターの3次元構造の再構築2014

    • Author(s)
      中島 千尋、大関 真之、Pan Liu、平田 秋彦、中村 壮伸
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学、春日井キャンパス、春日井市
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 山中 祥五、大関 真之、Aurelien Decelle2014

    • Author(s)
      カンニング検出の情報統計力学
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学、春日井キャンパス、春日井市
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Detection of cheating by decimation algorithm2014

    • Author(s)
      大関真之
    • Organizer
      Kyoto University and National Taiwan University Symposium 2014 Electrical Engineering and Computer Science
    • Place of Presentation
      京都大学、吉田キャンパス、京都市
    • Year and Date
      2014-09-01 – 2014-09-02
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Spin Glass and Quantum Error Correction2014

    • Author(s)
      大関真之
    • Organizer
      International workshop on Quantum LDPC code
    • Place of Presentation
      Perimeter Institute、Waterloo、Canada
    • Year and Date
      2014-07-14 – 2014-07-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] 大関 真之、田中 利幸2014

    • Author(s)
      半教師有り学習の情報統計力学
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 詳細つりあいの破れと線形応答の形式2014

    • Author(s)
      一木 輝久、大関 真之
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] スモールワールドネットワーク上の発電機モデルの同期2014

    • Author(s)
      佐々木 英一、大関 真之、太田 快人
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 有限次元スピングラスと量子計算2014

    • Author(s)
      大関 真之
    • Organizer
      量子情報の新展開
    • Place of Presentation
      京都大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] スモールワールドネットワーク上のSwing方程式の同期2014

    • Author(s)
      佐々木 英一、大関 真之、太田 快人
    • Organizer
      第一回制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Belief propagation with multipoint correlations and its application to Inverse problem2013

    • Author(s)
      Masayuki Ohzeki
    • Organizer
      nternational Meeting on ''Inference, Computation, and Spin Glasses'' (ICSG2013),
    • Place of Presentation
      Hokkaido University
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Measurement-based quantum computation protected by symmetry breaking states2013

    • Author(s)
      Masayuki Ohzeki
    • Organizer
      the 25th International Conference on Statistical Physics of the International Union for Pure and Applied Physics
    • Place of Presentation
      Seoul University
    • Related Report
      2013 Research-status Report
  • [Presentation] Eigenvalue Problems without Detailed Balance Condition2013

    • Author(s)
      Akihisa Ichiki and Masayuki Ohzeki
    • Organizer
      Frontier of Statistical Physics and Information Processing
    • Place of Presentation
      Kyoto University
    • Related Report
      2013 Research-status Report
  • [Presentation] 相関のある相互作用を持つ3次元スピングラス模型の相図2013

    • Author(s)
      藤井 啓祐、中田 芳史、大関 真之、村尾 美緒
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 詳細つりあい条件の破れと緩和速度の関係2013

    • Author(s)
      一木 輝久、大関 真之
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Variational Principle in Statistical Mechanics2013

    • Author(s)
      大関 真之
    • Organizer
      2013 Workshop on Statistical Physics of Disordered Systems and Its Applications (SPDSA2013) -Prologue Series V of FSPIP2013-
    • Place of Presentation
      秋保温泉
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Duality with real-space renormalization and its application to bond percolation2012

    • Author(s)
      大関 真之
    • Organizer
      4th YSM-SPIP in Sendai/Prologue Series IV of FSPIP
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
  • [Presentation] ランダム平面格子上のスピングラス模型の相境界2012

    • Author(s)
      大関 真之
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Duality: a powerful tool from statistical mechanics2012

    • Author(s)
      大関 真之
    • Organizer
      Quantum Information meets Statistical Mechanics
    • Place of Presentation
      Innsbruck, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] 西森線の揺らぎの定理2012

    • Author(s)
      大関 真之
    • Organizer
      Prologue Series I of FSPIP
    • Place of Presentation
      東京大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Perspective beyond detailed balance from Markov chain Monte Carlo

    • Author(s)
      Akihisa Ichiki and Masayuki Ohzeki
    • Organizer
      Italia-Giappone attraverso il futuro- A bridge across the future-
    • Place of Presentation
      Kyoto University
    • Related Report
      2013 Research-status Report
    • Invited
  • [Book] Simulated Annealing - Advances, Applications and Hybridizations2013

    • Author(s)
      大関 真之
    • Total Pages
      290
    • Publisher
      InTech
    • Related Report
      2012 Research-status Report
  • [Book] Lectures on Quantum Computing, Themodynamics and Statistical Physics (Kinki University Series on Quantum Computing)2013

    • Author(s)
      大関 真之
    • Total Pages
      190
    • Publisher
      World Scientific
    • Related Report
      2012 Research-status Report
  • [Remarks] http://www-adsys.sys.i.kyoto-u.ac.jp/mohzeki/

    • Related Report
      2014 Annual Research Report
  • [Remarks] =TOP= of Masayuki Ohzeki

    • URL

      http://www-adsys.sys.i.kyoto-u.ac.jp/mohzeki/index.html

    • Related Report
      2013 Research-status Report
  • [Remarks] =TOP= of Masayuki Ohzeki

    • URL

      http://www-adsys.sys.i.kyoto-u.ac.jp/mohzeki/index.html

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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