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Statistical mechanics approach to massive sparse modeling

Planned Research

Project AreaInitiative for High-Dimensional Data-Driven Science through Deepening of Sparse Modeling
Project/Area Number 25120013
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Complex systems
Research InstitutionTokyo Institute of Technology

Principal Investigator

KABASHIMA Yoshiyuki  東京工業大学, 情報理工学院, 教授 (80260652)

Co-Investigator(Kenkyū-buntansha) 竹田 晃人  茨城大学, 工学部, 准教授 (70397040)
渡邊 澄夫  東京工業大学, 情報理工学院, 教授 (80273118)
坂田 綾香  統計数理研究所, モデリング研究系, 助教 (80733071)
井上 純一  北海道大学, 情報科学研究科, 准教授 (30311658)
Co-Investigator(Renkei-kenkyūsha) OBUCHI Tomoyuki  東京工業大学, 情報理工学院, 助教 (40588448)
Project Period (FY) 2013-06-28 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥53,690,000 (Direct Cost: ¥41,300,000、Indirect Cost: ¥12,390,000)
Fiscal Year 2017: ¥11,050,000 (Direct Cost: ¥8,500,000、Indirect Cost: ¥2,550,000)
Fiscal Year 2016: ¥11,050,000 (Direct Cost: ¥8,500,000、Indirect Cost: ¥2,550,000)
Fiscal Year 2015: ¥11,960,000 (Direct Cost: ¥9,200,000、Indirect Cost: ¥2,760,000)
Fiscal Year 2014: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2013: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Keywords圧縮センシング / 潜在変数モデリング / モデル選択 / レプリカ法 / 平均場近似 / 特異モデル / 統計力学 / 情報量基準 / 交差検証法 / 行列分解
Outline of Final Research Achievements

The objective of this project is to develop and systemize methods of multivariate statistics that extract sparse structures lying behind observed data, utilizing the notion of information quantities. In general, one can systematically formulate the statistical-model-based information extraction as optimization problems concerning the information quantities. However, such methods are often computationally difficult to perform in practice. In this project, we intended to practically overcome this difficulty by employing methods and notions of statistical mechanics. By analyzing various concrete models, we aimed to construct a methodology for "systematic" and "practically performable" sparse modeling. Our achievements include performance analysis and algorithm development for various problems that arise in 1) compressive sensing, 2) latent variable models, and 3) issues of model selection.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (107 results)

All 2018 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (5 results) Journal Article (48 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 45 results,  Open Access: 15 results,  Acknowledgement Compliant: 29 results) Presentation (52 results) (of which Int'l Joint Research: 18 results,  Invited: 16 results) Book (2 results)

  • [Int'l Joint Research] マサチューセッツ工科大学/ハーバード大学(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Universidade de Sao Paulo(ブラジル)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Ecole Normale Superieure/CEA Sacley(フランス)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Aalto University/University of Helsinki(フィンランド)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] サンパウロ大学(ブラジル)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Comparative analysis on the selection of number of clusters in community detection2018

    • Author(s)
      Tatsuro Kawamoto and Yoshiyuki Kabashima
    • Journal Title

      Physical Review E

      Volume: 97 Issue: 2

    • DOI

      10.1103/physreve.97.022315

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Approximate Method of Variational Bayesian Matrix Factorization/Completion with Sparse Prior2018

    • Author(s)
      Ryota Kawasumi and Koujin Takeda
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experimen

      Volume: 2018

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Accelerating cross-validation with total variation and its application to super-resolution imaging2017

    • Author(s)
      Tomoyuki Obuchi, Shiro Ikeda, Kazunori Akiyama, Yoshiyuki Kabashima
    • Journal Title

      PLOS One

      Volume: 12 Issue: 12 Pages: e0188012-e0188012

    • DOI

      10.1371/journal.pone.0188012

    • NAID

      120006582650

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Cross-validation estimate of the number of clusters in a network2017

    • Author(s)
      Kawamoto Tatsuro、Kabashima Yoshiyuki
    • Journal Title

      Scientific Reports

      Volume: 7 Issue: 1

    • DOI

      10.1038/s41598-017-03623-x

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Approximate method of variational Bayesian matrix factorization with sparse prior2017

    • Author(s)
      Kawasumi Ryota and Takeda Koujin
    • Journal Title

      Proc. of 2017 IEEE 27th International Workshop on Machine Learning for Signal Processing (MLSP)

      Volume: なし Pages: 1-4

    • DOI

      10.1109/mlsp.2017.8168156

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] PCD法に基づいた畳み込み制約付きボルツマンマシンの学習法の改良2017

    • Author(s)
      石涼介,須田玲輝,竹田晃人
    • Journal Title

      IEICE Technical Report

      Volume: 117 no. 293 Pages: 251-254

    • Related Report
      2017 Annual Research Report
  • [Journal Article] 2つの疎な行列からなる行列分解問題の変分ベイズ法による解析法の検討2017

    • Author(s)
      玉井智貴,竹田晃人
    • Journal Title

      IEICE Technical Report

      Volume: 117 no. 293 Pages: 297-300

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Approximate message passing for nonconvex sparse regularization with stability and asymptotic analysis2017

    • Author(s)
      Ayaka Sakata and Yingying Xu
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2017 Issue: 3 Pages: 033404-033404

    • DOI

      10.1088/1742-5468/aab051

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Detectability thresholds of general modular graphs2017

    • Author(s)
      T. Kawamoto and Y. Kabashima
    • Journal Title

      Physical Review E

      Volume: 95(1) Issue: 1 Pages: 012304-012304

    • DOI

      10.1103/physreve.95.012304

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Relative species abundance of replicator dynamics with sparse interactions2016

    • Author(s)
      Tomoyuki Obuchi, Yoshiyuki Kabashima, Kei Tokita
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 11 Pages: 1-28

    • DOI

      10.1088/1742-5468/2016/11/113502

    • NAID

      120005971259

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Multiple peaks of species abundance distributions induced by sparse interactions2016

    • Author(s)
      Tomoyuki Obuchi, Yoshiyuki Kabashima, Kei Tokita
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 2 Pages: 1-36

    • DOI

      10.1103/physreve.94.022312

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Statistical mechanics analysis of thresholding 1-bit compressed sensing2016

    • Author(s)
      Y.-Y. Xu and Y. Kabashima
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 8 Pages: 083405-083405

    • DOI

      10.1088/1742-5468/2016/08/083405

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Bayesian online compressed sensing2016

    • Author(s)
      Paulo V. Rossi, Yoshiyuki Kabashima, Jun-ichi Inoue
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 2

    • DOI

      10.1103/physreve.94.022137

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Sparse approximation based on a random overcomplete basis2016

    • Author(s)
      Yoshinori Nakanishi-Ohno, Tomoyuki Obuchi, Masato Okada, and Yoshiyuki Kabashima
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 6 Pages: 1-30

    • DOI

      10.1088/1742-5468/2016/06/063302

    • NAID

      120006582517

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Typical reconstruction performance for distributed compressed sensing based on l_{2,1}-norm regularized least square and Bayesian optimal reconstruction: influences of noise2016

    • Author(s)
      Yoshifumi Shiraki, Yoshiyuki Kabashima
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 6 Pages: 063304-063304

    • DOI

      10.1088/1742-5468/2016/06/063304

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Cross validation in LASSO and its acceleration2016

    • Author(s)
      T. Obuchi and Y. Kabashima
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 5 Pages: 1-36

    • DOI

      10.1088/1742-5468/2016/05/053304

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Phase transitions and sample complexity in Bayes-optimal matrix factorization2016

    • Author(s)
      Y. Kabashima, F. Krzakala, M. Mezard, A. Sakata, and L. Zdeborova
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 62(7) Issue: 7 Pages: 4228-4265

    • DOI

      10.1109/tit.2016.2556702

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Sampling approach to sparse approximation problem: determining degrees of freedom by simulated annealing2016

    • Author(s)
      Tomoyuki Obuchi, Yoshiyuki Kabashima.
    • Journal Title

      Proceedings of 2016 24th European Signal Processing Conference (EUSIPCO)

      Volume: なし Pages: 1-5

    • DOI

      10.1109/eusipco.2016.7760448

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Sparse approximation problem: how rapid simulated annealing succeeds and fails,2016

    • Author(s)
      Tomoyuki Obuchi, Yoshiyuki Kabashima
    • Journal Title

      International Meeting on High-Dimensional Data-Driven Science (HD3-2015)Journal of Physics: Conference Series

      Volume: 699 Pages: 1-12

    • DOI

      10.1088/1742-6596/699/1/012017

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Approximate cross validation formula for Bayesian linear regression2016

    • Author(s)
      Yoshiyuki Kabashima, Tomoyuki Obuchi, Makoto Uemura
    • Journal Title

      Proceedings of the 54th Annual Allerton Conference

      Volume: なし Pages: 596-600

    • DOI

      10.1109/allerton.2016.7852286

    • NAID

      130006710798

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Interpretation Method of Nonlinear Multilayer Principal Component Analysis by Using Sparsity and Hierarchical Clustering2016

    • Author(s)
      Natsuki Koda, Sumio Watanabe
    • Journal Title

      Proceedings of 15th IEEE International Conference on Machine Learning and Applications (ICMLA)

      Volume: なし Pages: 1063-1066

    • DOI

      10.1109/icmla.2016.0193

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 疎な事前分布での変分ベイズ法を用いた行列補完問題の近似的解法2016

    • Author(s)
      川澄亮太, 竹田晃人
    • Journal Title

      電子情報通信学会技術報告

      Volume: 116 Pages: 117-121

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Efficient Board Feature Extraction for Strategy Improvement in Computer Go2016

    • Author(s)
      Hayato Mitsuoka, Koujin Takeda
    • Journal Title

      NOLTA Proceedings

      Volume: なし

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An Alternative to Basic Log-likelihood for Bayesian Network Clustering2016

    • Author(s)
      Rei Oshino, Koujin Takeda
    • Journal Title

      NOLTA Proceedings

      Volume: なし

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Evaluation of Generalized Degrees of Freedom for Sparse Estimation by Replica Method2016

    • Author(s)
      Ayaka Sakata
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2016 Issue: 12 Pages: 1-29

    • DOI

      10.1088/1742-5468/2016/12/123302

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Boltzmann-machine learning of prior distributions of binarized natural images2016

    • Author(s)
      Tomoyuki Obuchi, Hirokazu Koma, Muneki Yasuda
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 11 Pages: 1-17

    • DOI

      10.7566/jpsj.85.114803

    • NAID

      40020994962

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Detectability of the spectral method for sparse graph partitioning2015

    • Author(s)
      T. Kawamoto and Y. Kabashima
    • Journal Title

      Europhysics Letters

      Volume: 112 Issue: 4 Pages: 40007-40007

    • DOI

      10.1209/0295-5075/112/40007

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Limitations in the spectral method for graph partitioning: Detectability threshold and localization of eigenvectors2015

    • Author(s)
      T. Kawamoto and Y. Kabashima
    • Journal Title

      Physical Review E

      Volume: 91 Issue: 6 Pages: 062803-062803

    • DOI

      10.1103/physreve.91.062803

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Typical reconstruction limits for distributed compressed sensing based on ell_{2,1}-norm minimization and Bayesian optimal reconstruction2015

    • Author(s)
      Y. Shiraki and Y. Kabashima
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2015 Issue: 5 Pages: P05029-P05029

    • DOI

      10.1088/1742-5468/2015/05/p05029

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Replica symmetric bound for restricted isometry constant2015

    • Author(s)
      A. Sakata and Y. Kabashima
    • Journal Title

      Proc. of 2015 IEEE International Symposium on Information Theory (ISIT2015)

      Volume: 2015 Pages: 2006-2010

    • DOI

      10.1109/isit.2015.7282807

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Learning Probabilities From Random Observables in High Dimensions: The Maximum Entropy Distribution and Others2015

    • Author(s)
      Tomoyuki Obuchi, Simona Cocco, Remi Monasson
    • Journal Title

      Journal of Statistical Physics

      Volume: 161 Issue: 3 Pages: 598-632

    • DOI

      10.1007/s10955-015-1341-7

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Learning probability distributions from smooth observables and the maximum entropy principle: some remarks2015

    • Author(s)
      Tomoyuki Obuchi, Remi Monasson
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 631 Pages: 012018-012018

    • DOI

      10.1088/1742-6596/638/1/012018

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Replica analysis of Franz-Parisi potential for sparse systems2015

    • Author(s)
      Masahiko Ueda and Yoshiyuki Kabashima
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 48 Issue: 13 Pages: 135002-135002

    • DOI

      10.1088/1751-8113/48/13/135002

    • NAID

      120005672552

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Infinite-range transverse field Ising models and quantum computation2015

    • Author(s)
      Jun-ichi Inoue
    • Journal Title

      European Physical Journal: Special Topics

      Volume: 224 Issue: 1 Pages: 149-161

    • DOI

      10.1140/epjst/e2015-02348-x

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Origin of the computational hardness for learning with binary synapses2014

    • Author(s)
      Haiping Huang and Yoshiyuki Kabashima
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 5 Pages: 052813-052813

    • DOI

      10.1103/physreve.90.052813

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Bayesian signal reconstruction for 1-bit compressed sensing2014

    • Author(s)
      ingying Xu, Yoshiyuki Kabashima, Lenka Zdeborova
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: P11015 Issue: 11 Pages: P11015-P11015

    • DOI

      10.1088/1742-5468/2014/11/p11015

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Dynamics of asymmetric kinetic Ising systems revisited2014

    • Author(s)
      Haiping Huang and Yoshiyuki Kabashima
    • Journal Title

      Journal Statistical Mechanics

      Volume: 2014 Issue: 5 Pages: P05020-P05020

    • DOI

      10.1088/1742-5468/2014/05/p05020

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Analysis of regularized LS reconstruction and random matrix ensembles in compressed sensing2014

    • Author(s)
      Mikko Vehekapera, Yoshiyuki Kabashima, Saikat Chatterjee
    • Journal Title

      Proc. 2014 IEEE International Symposium on Information Theory

      Volume: no vol. no. Pages: 3185-3189

    • DOI

      10.1109/isit.2014.6875422

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Signal recovery using expectation consistent approximation for linear observations2014

    • Author(s)
      Mikko Vehekapera, Yoshiyuki Kabashima
    • Journal Title

      Proc. 2014 IEEE International Symposium on Information Theory

      Volume: no vol. no. Pages: 226-230

    • DOI

      10.1109/isit.2014.6874828

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Code-division multiple-access multiuser demodulator by using quantum fluctuations2014

    • Author(s)
      Yosuke Otsubo, Jun-ichi Inoue, Kenji Nagata, and Masato Okada
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 1

    • DOI

      10.1103/physreve.90.012126

    • NAID

      120005512024

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 一般ディリクレ分布を用いた混合正規分布の変分自由エネルギーの漸近挙動について2014

    • Author(s)
      中村文士,渡辺澄夫
    • Journal Title

      電子情報通信学会論文誌D

      Volume: J97-D

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cavity-based robustness analysis of interdependent networks : Influences of intranetwork and internetwork degree-degree correlations2014

    • Author(s)
      S.Watanabe and Y.Kabashima
    • Journal Title

      Phys. Rev

      Volume: E 89 Issue: 1

    • DOI

      10.1103/physreve.89.012808

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Statistical mechanics of dictionary learning2013

    • Author(s)
      Ayaka Sakata, Yoshiyuki Kabashima
    • Journal Title

      Europhysics Letters

      Volume: 103 Issue: 2 Pages: 28008-28008

    • DOI

      10.1209/0295-5075/103/28008

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Entropy landscape of solutions in the binary perceptron problem2013

    • Author(s)
      Haiping Huang, KY Michael Wong, Yoshiyuki Kabashima
    • Journal Title

      J. Phys. A : Math. Theor.

      Volume: 46 Issue: 37 Pages: 375002-375002

    • DOI

      10.1088/1751-8113/46/37/375002

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reconstruction algorithm in compressed sensing based on maximum a posteriori estimation2013

    • Author(s)
      Koujin Takeda, Yoshiyuki Kabashima
    • Journal Title

      J. Phys. Conf. Ser.

      Volume: 473 Pages: 12003-12003

    • DOI

      10.1088/1742-6596/473/1/012003

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Geometric Evaluation of Self-Organizing Map and Application to City Data Analysis2013

    • Author(s)
      Shigehiro Ohara, Keisuke Yamazaki, Sumio Watanabe
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 8271 Pages: 165-174

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Statistical inference of co-movements of stocks during a financial crisis2013

    • Author(s)
      1) Takero Ibuki, Shunsuke Higano, Sei Suzuki, Jun-ichi Inoue and Anirban Chakraborti
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 473 Pages: 012008-012008

    • DOI

      10.1088/1742-6596/473/1/012008

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Learning curve for collective behavior of zero-intelligence agents in successive job-hunting processes with a diversity of Jaynes-Shannon’s MaxEnt principle2013

    • Author(s)
      He Chen and Jun-ichi Inoue
    • Journal Title

      Evolutionary and Institutional Economics Review

      Volume: 10 Issue: 1 Pages: 55-80

    • DOI

      10.14441/eier.a2013004

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] 統計力学と統計学の形式的な相違点を考えることに物理学の課題があるだろうか2018

    • Author(s)
      渡辺澄夫
    • Organizer
      統計物理学懇談会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 非凸スパース正則化に対する確率伝搬法と収束条件2018

    • Author(s)
      坂田綾香
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] PCD法に基づいた畳み込み制約付きボルツマンマシンによる数字認識2017

    • Author(s)
      石涼介,須田玲輝,竹田晃人
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 変分ベイズ法による部分観測行列の補間・分解問題の疎性に基づく近似的解法2017

    • Author(s)
      川澄亮太,竹田晃人
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] LASSOにおけるAICのゆらぎ2017

    • Author(s)
      坂田綾香
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 非負値行列分解における実対数閾値の実験的考察2017

    • Author(s)
      林直輝,渡辺澄夫
    • Organizer
      電子情報通信学会ニューロコンピューティング研究会
    • Place of Presentation
      機械振興会館
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Approximate cross-validation formula for sparse linear regression2017

    • Author(s)
      Yoshiyuki Kabashima, Tomoyuki Obuchi, Makoto Uemura
    • Organizer
      Workshop on Statistical physics, Learning, Inference and Networks
    • Place of Presentation
      Les Houches, France
    • Year and Date
      2017-02-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical mechanics approach to compressed sensing2017

    • Author(s)
      Yoshiyuki Kabashima
    • Organizer
      Workshop on "Theoretical Comp. Sci. and Statistical Physics methods in Machine Learning" at International Center for Theoretical Sciences (ICTS-TIFR), Bengaluru, India, Dec 26-30, 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] スパース線形回帰のエネルギーランドスケープ解析2017

    • Author(s)
      小渕智之, 中西(大野)義典, 岡田真人, 樺島祥介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 疎性制約を軟化した模擬徐冷による変数選択2017

    • Author(s)
      林華央, 小渕智之, 樺島祥介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] キャビティ法に基づく近似的ランク1行列補完2017

    • Author(s)
      野口千尋, 樺島祥介
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 適応Tholess-Anderson-Palmer法によるLASSO解の統計的不確かさ評価手法の開発2017

    • Author(s)
      高橋昂, 樺島祥介
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Phase Transition Structure of Variational Bayesian Nonnegative Matrix Factorization2017

    • Author(s)
      Kunihiro Kohjima, Sumio Watanabe.
    • Organizer
      26th International Conference on Artificial Neural Networks
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Difference between Bayes Cross Validation and WAIC for Conditional Independent Samples2017

    • Author(s)
      Sumio Watanabe
    • Organizer
      The Tenth Workshop on Information Theoretic Methods in Science and Engineering
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 変化点検出問題におけるベイズ検定統計量の導出と検出力の実験的考察2017

    • Author(s)
      大橋耕也、渡辺澄夫
    • Organizer
      第116回数理モデル化と問題解決(MPS)研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] LASSOにおけるAICの揺らぎとブートストラップ法による近似2017

    • Author(s)
      坂田綾香
    • Organizer
      2017年統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] L1正則化におけるAICのブートストラップ補正と分布の評価2017

    • Author(s)
      坂田綾香
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 非凸スパース正則化に対する確率伝搬法とその収束条件2017

    • Author(s)
      坂田綾香
    • Organizer
      IBIS2017(第20回情報論的学習理論ワークショップ)
    • Related Report
      2017 Annual Research Report
  • [Presentation] Approximate message passing for nonconvex sparse regularization and its convergence condition2017

    • Author(s)
      坂田綾香
    • Organizer
      ISI-ISM-ISSAS joint conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Interpretation Method of Nonlinear Multilayer Principal Component Analysis by Using Sparsity and Hierarchical Clustering2016

    • Author(s)
      Natsuki Koda, Sumio Watanabe
    • Organizer
      The 15th IEEE International Conference on Machine Learning and Applications (ICMLA)
    • Place of Presentation
      Anaheim, CA, USA
    • Year and Date
      2016-12-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Efficient Board Feature Extraction for Strategy Improvement in Computer Go2016

    • Author(s)
      Hayato Mitsuoka, Koujin Takeda
    • Organizer
      NOLTA2016
    • Place of Presentation
      湯河原
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] An Alternative to Basic Log-likelihood for Bayesian Network Clustering2016

    • Author(s)
      Rei Oshino, Koujin Takeda
    • Organizer
      NOLTA2016
    • Place of Presentation
      湯河原
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 確率的ブロックモデルの尤度への補正とグラフクラスタリング2016

    • Author(s)
      押野怜依,竹田晃人
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
  • [Presentation] word2vecを用いた商品レビューの評価値予測の改良2016

    • Author(s)
      本間明紀,竹田晃人
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
  • [Presentation] 階層化クラスタリングを用いた深層アンサンブル学習の最適化法2016

    • Author(s)
      香田夏輝,渡邊澄夫
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 非負値行列分解の実対数閾値とBayes学習への応用2016

    • Author(s)
      林直輝,渡辺澄夫
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 疎な事前分布での変分ベイズ法を用いた行列補完問題の近似的解法2016

    • Author(s)
      川澄亮太, 竹田晃人
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] Approximate cross validation formula for Bayesian linear regression2016

    • Author(s)
      Yoshiyuki Kabashima, Tomoyuki Obuchi, Makoto Uemura
    • Organizer
      The 54th Annual Allerton Conference
    • Place of Presentation
      Allerton House, UIUC, Illinois, USA
    • Year and Date
      2016-09-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 確率的ブロックモデルの尤度への補正とコミュニティ検出2016

    • Author(s)
      押野怜依,竹田晃人
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 疎な事前分布での変分ベイズ法を用いた行列補完問題2016

    • Author(s)
      川澄亮太, 竹田晃人
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] スパース正則化におけるモデル選択規準の評価2016

    • Author(s)
      坂田綾香
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Sampling approach to sparse approximation problem: determining degrees of freedom by simulated annealing2016

    • Author(s)
      Tomoyuki Obuchi, Yoshiyuki Kabashima
    • Organizer
      The 24th European Signal Processing Conference (EUSIPCO)
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2016-08-28
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Statistical mechanics of sparse approximation problem2016

    • Author(s)
      Yoshiyuki Kabashima
    • Organizer
      Statistical physics methods in biology and computer science
    • Place of Presentation
      ENS, Paris
    • Year and Date
      2016-07-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Learning probabilities from random observables in high dimensions: the maximum entropy distribution and others2016

    • Author(s)
      Tomoyuki Obuchi, Remi Monasson and Simona Cocco
    • Organizer
      APS march meeting
    • Place of Presentation
      Baltimore, USA
    • Year and Date
      2016-03-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 潜在変数を持つモデルの評価について2016

    • Author(s)
      渡邊澄夫
    • Organizer
      データ科学シンポジウム
    • Place of Presentation
      大阪大学
    • Year and Date
      2016-01-22
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Application of partial parallel interference cancellation to sparse signal recovery2016

    • Author(s)
      Koujin Takeda and Toshiyuki Tanaka
    • Organizer
      Physics Informed Machine Learning
    • Place of Presentation
      Santa Fe, USA
    • Year and Date
      2016-01-19
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical performance analysis of sparse approximation problem2016

    • Author(s)
      Tomoyuki Obuchi and Yoshiyuki Kabashima
    • Organizer
      Physics Informed Machine Learning
    • Place of Presentation
      Santa Fe, USA
    • Year and Date
      2016-01-19
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cross Validation and WAIC in Statistical Model Evaluation2016

    • Author(s)
      渡邊澄夫
    • Organizer
      Symposium ‐ What is a good model? Evidential statistics, information criterion and model evaluation.
    • Place of Presentation
      統計数理研究所(立川市)
    • Year and Date
      2016-01-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Application of partial parallel interference cancellation to sparse signal recovery2015

    • Author(s)
      Koujin Takeda and Toshiyuki Tanaka
    • Organizer
      International Meeting on “High-Dimensional Data Driven Science” (HD3-2015)
    • Place of Presentation
      メルパルク京都
    • Year and Date
      2015-12-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] スパース表現を探す-辞書学習におけるサンプル複雑度とアルゴリズム-2015

    • Author(s)
      坂田綾香,樺島祥介
    • Organizer
      第38回情報理論とその応用シンポジウム (SITA 2015),
    • Place of Presentation
      下電ホテル(岡山県倉敷市)
    • Year and Date
      2015-11-24
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Cavity approach to robustness analysis of complex networks2015

    • Author(s)
      Yoshiyuki Kabashima
    • Organizer
      NETADIS Conference Statistical Physics Approaches to Networks Across Disciplines 2015
    • Place of Presentation
      London, UK
    • Year and Date
      2015-10-20
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Replica Symmetric Bound for Restricted Isometry Constant2015

    • Author(s)
      Ayaka Sakata and Yoshiyuki Kabashima
    • Organizer
      2015 IEEE International Symposium on Information Theory (ISIT2015)
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-06-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Signal recovery using expectation consistent approximation for linear observations2014

    • Author(s)
      Yoshiyuki Kabashima and Mikko Vehkapera
    • Organizer
      International mini-workshop on Collective Dynamics in Information Systems
    • Place of Presentation
      Beijing, China
    • Year and Date
      2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Dynamics of compressive sensing at zero temperature2014

    • Author(s)
      Jun-ichi Inoue
    • Organizer
      International mini-workshop on Collective Dynamics in Information Systems
    • Place of Presentation
      Beijing, China
    • Year and Date
      2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Overview of compressed sensing2014

    • Author(s)
      Yoshiyuki Kabashima
    • Organizer
      Spin glasses: An old tools for new problems
    • Place of Presentation
      Cargese, France
    • Year and Date
      2014-08-25 – 2014-09-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Discovery Phenomenon and Information Criteria2014

    • Author(s)
      Sumio Watanabe
    • Organizer
      The Seventh Workshop on Information Theoretic Methods in Science and Engineering
    • Place of Presentation
      Sheraton Waikiki Hotel, Honolulu, USA.
    • Year and Date
      2014-07-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Analysis of Regularized LS Reconstruction and Random Matrix Ensembles in Compressed Sensing2014

    • Author(s)
      Mikko Vehekapera, Yoshiyuki Kabashima and Saikat Chatterjee
    • Organizer
      2014 IEEE International Symposium on Information Theory
    • Place of Presentation
      Honolulu, USA
    • Year and Date
      2014-06-29 – 2014-07-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] Signal recovery using expectation consistent approximation for linear observations2014

    • Author(s)
      Yoshiyuki Kabashima and Mikko Vehkapera
    • Organizer
      2014 IEEE International Symposium on Information Theory
    • Place of Presentation
      Honolulu, USA
    • Year and Date
      2014-06-29 – 2014-07-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] Birational Invariants in Marginal Likelihood Computation2014

    • Author(s)
      Sumio Watanabe
    • Organizer
      2014 NIMS Thematic Program on Algebraic Statistics
    • Place of Presentation
      National Institute of Mathematical Sciences, Daejeon, South Korea.
    • Year and Date
      2014-06-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Power-law behavior and condensation phenomenain disordered urn models2014

    • Author(s)
      Jun-ichi Inoue
    • Organizer
      Internatioanl Conference on Emerging Trends in Applied Mathematics
    • Place of Presentation
      Department of Applied Mathematics University of Calcutta, Kolkata, India
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Probabilistic flows of inhabitants in urban areas and self-organization in housing markets2014

    • Author(s)
      Jun-ichi Inoue
    • Organizer
      Econophysics-Kolkata VIII
    • Place of Presentation
      Saha Institute of Nuclear Physics, Kolkata, India
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Statistical mechanics of human resource allocation: Inverse Potts problem that reveals the correlations between labors2013

    • Author(s)
      Jun-ichi Inoue
    • Organizer
      Statistical modeling, financial data analysis and applications
    • Place of Presentation
      ISTITUTO VENETO DI SCIENZE LETTERE ED ARTI, PALAZZO FRANCHETTI, VENICE, ITALY
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] 確率的グラフィカルモデル2016

    • Author(s)
      黒木学, 清水昌平, 湊真一, 石畠正和, 樺島祥介, 田中和之, 本村陽一, 玉田嘉紀, 鈴木譲, 植野真臣
    • Total Pages
      280
    • Publisher
      共立出版
    • Related Report
      2016 Annual Research Report
  • [Book] ランダム行列の数理と科学2014

    • Author(s)
      渡辺澄夫, 永尾太郎, 樺島祥介, 田中利幸, 中島伸一
    • Total Pages
      172
    • Publisher
      森北出版
    • Related Report
      2014 Annual Research Report

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Published: 2013-07-10   Modified: 2019-07-29  

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