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ビッグミクロデータの匿名性評価手法の開発

Research Project

Project/Area Number 18H00835
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 07030:Economic statistics-related
Research InstitutionKanazawa University

Principal Investigator

星野 伸明  金沢大学, 経済学経営学系, 教授 (00313627)

Co-Investigator(Kenkyū-buntansha) 間野 修平  統計数理研究所, 数理・推論研究系, 教授 (20372948)
入江 薫  東京大学, 大学院経済学研究科(経済学部), 講師 (20789169)
佐井 至道  岡山商科大学, 経済学部, 教授 (30186910)
丸山 祐造  神戸大学, 経営学研究科, 教授 (30304728)
Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Granted (Fiscal Year 2022)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2022: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2021: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2020: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2019: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2018: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Keywordsプライバシー / 統計的開示制限
Outline of Annual Research Achievements

昨年度に引き続き、復元抽出の族であるベル多項式分布の理論的解析を続けた。昨年度の研究で、連続な単体上の分布である正規化無限分解可能分布と、離散単体上の分布であるベル多項式分布の類似性について、二次モメントまでは比例することを明らかにした。今年度はより一般的に、ベル多項式分布が多項分布と正規化無限分解可能分布の混合で得られることを明らかにした。この結果から、二次モメントまでの比例も説明可能である。またこの結果は、ベル多項式分布を総度数で基準化した量の漸近分布が正規化無限分解可能分布になる事を意味する。この含意は、ベル多項式分布族の大標本理論の一般的枠組みを示している。これまで高次元小標本の理論は出来ていたので、合わせて大規模データベースの挙動が明らかとなる。これは研究目的に即した重要な進展と言える。その他、ベル多項式分布の母数をセル母数に変換した場合、分散母数に依存しない分布族の存在を示した。ベル多項式分布のギブス確率分割への分布収束を示す議論では分散母数について極限をとるので、このような例外を理解出来れば新しい理論展開につながると期待している。
コロナウィルス流行のためグループとしての研究活動は制約を受けたが、流行が弱まった年度末にグループ内研究会を対面で開催した。またオンラインで公開研究集会を開催した。オンラインならではの取り組みとして、英語セッションを設けてイタリアの研究者に講演してもらい、研究代表者等の講演も聞いてもらった。またSpringerから英文研究書籍を出版するなど、研究成果の普及に努めた。

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

本計画でベル多項式分布族に関する大標本理論の枠組みを得られるとは予想していなかった。大規模なデータベースについての個票開示リスク評価にまで成果が適用出来ることになり、実績として申し分ない。

Strategy for Future Research Activity

本研究計画も最終年度を迎える。理論的成果は出ているが、論文執筆が追い付いていない。口頭発表による成果普及を先行させるが、論文公刊のための時間を確保したい。

Report

(4 results)
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report

Research Products

(65 results)

All 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (20 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 16 results,  Open Access: 11 results) Presentation (33 results) (of which Int'l Joint Research: 15 results,  Invited: 18 results) Book (4 results) Funded Workshop (2 results)

  • [Int'l Joint Research] rutgers university/university of new hampshire(米国)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Polytechnic University of Catalonia(スペイン)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Rutgers university/The city university of new york(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Rutgers university(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Vassar college/Rutgers university(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Seoul national university(韓国)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Sequential modeling, monitoring and forecasting of streaming web traffic data2022

    • Author(s)
      Irie, K., Glynn, C. and Aktekin, T.
    • Journal Title

      Annals of Applied Statistics

      Volume: 26 Pages: 300-325

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On global-local shrinkage for count data2022

    • Author(s)
      Hamura, Y., Irie, K., and Sugasawa, S.
    • Journal Title

      Bayesian Analysis

      Volume: To appear

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Score-adjusted methods for estimation of shape parameters in Gamma-Poisson and Beta-Binomial distributions2022

    • Author(s)
      Tamae, H., Irie, K. and Kubokawa, T.
    • Journal Title

      Communication in Statistics - Simulation and Computation

      Volume: To appear

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On admissible estimation of a mean vector when the scale is unknown2022

    • Author(s)
      Maruyama, Y. and Strawderman, W,E.
    • Journal Title

      Bernoulli

      Volume: To appear

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] ノイズを挿入した個票データに対する多重寸法指標を用いた種々のリスク評価方法の比較2022

    • Author(s)
      佐井至道
    • Journal Title

      岡山商大論叢

      Volume: 58

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the relationship between beta-Bartlett and Uhlig extended processes2021

    • Author(s)
      Pena, V. and Irie, K.
    • Journal Title

      Journal of Time Series Analysis

      Volume: 43 Pages: 147-153

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Contributed discussion of: Multilevel linear models, Gibbs samplers and multigrid decompositions, by Zanella, G. and Roberts, G.2021

    • Author(s)
      Irie, K. and Sugasawa, S.
    • Journal Title

      Bayesian Analysis

      Volume: 16 Pages: 1378-1380

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Admissible estimators of a multivariate normal mean vector when the scale is unknown2021

    • Author(s)
      Maruyama, Y. and Strawderman, W,E.
    • Journal Title

      Biometrika

      Volume: 108 Pages: 997-1003

    • DOI

      10.1093/biomet/asaa102

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 局所的な分布を用いたリスク評価 -実用化に向けた検討-2021

    • Author(s)
      佐井至道
    • Journal Title

      岡山商大論叢

      Volume: 56 Pages: 43-76

    • NAID

      120007176717

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Gaussian sequence approach for proving minimaxity: A Review2021

    • Author(s)
      Maruyama Yuzo、Strawderman William E.
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: 211 Pages: 256-270

    • DOI

      10.1016/j.jspi.2020.06.007

    • NAID

      120006897876

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A firm foundation for statistical disclosure control2020

    • Author(s)
      Hoshino Nobuaki
    • Journal Title

      Japanese Journal of Statistics and Data Science

      Volume: 3 Issue: 2 Pages: 721-746

    • DOI

      10.1007/s42081-020-00086-9

    • NAID

      210000163233

    • ISSN
      2520-8756, 2520-8764
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Admissible Bayes equivariant estimation of location vectors for spherically symmetric distributions with unknown scale2020

    • Author(s)
      Maruyama Yuzo、Strawderman William E.
    • Journal Title

      The Annals of Statistics

      Volume: 48 Pages: 1052-1071

    • DOI

      10.1214/19-aos1837

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Firm foundation for statistical disclosure control2020

    • Author(s)
      Hoshino Nobuaki
    • Journal Title

      Discussion paper, Faculty of economics and management, Kanazawa University

      Volume: 52 Pages: 1-22

    • NAID

      210000163233

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 計算代数のdirect samplerへの応用2020

    • Author(s)
      高山信毅,間野修平
    • Journal Title

      数理解析研究所講究録

      Volume: 2138 Pages: 64-72

    • NAID

      40022147274

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 抽出法と計算代数2020

    • Author(s)
      間野修平
    • Journal Title

      統計数理

      Volume: 67 Pages: 72-73

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 局所的な分布を用いた個票データのリスク評価2019

    • Author(s)
      佐井至道
    • Journal Title

      岡山商大論叢

      Volume: 55 Pages: 45-70

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Harmonic Bayesian Prediction Under α -Divergence2019

    • Author(s)
      Yuzo Maruyama, Takeru Matsuda, Toshio Ohnishi
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 65 Pages: 5352-5366

    • DOI

      10.1109/tit.2019.2915245

    • NAID

      120007017124

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Quasi-Multinomial Synthesizer for Categorical Data2018

    • Author(s)
      Hu Jingchen、Hoshino Nobuaki
    • Journal Title

      Privacy in Statistical Databases, PSD 2018, LNCS.

      Volume: 11126 Pages: 75-91

    • DOI

      10.1007/978-3-319-99771-1_6

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 個票データのキー変数の型とリスクとの関係2018

    • Author(s)
      佐井至道
    • Journal Title

      岡山商大論叢

      Volume: 54 Pages: 1-28

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Posterior consistency of g-prior for variable selection with a growing number of parameters2018

    • Author(s)
      Wang, M. and Maruyama, Y.
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: 196 Pages: 19-29

    • DOI

      10.1016/j.jspi.2017.10.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Urn models closed under resizing2021

    • Author(s)
      星野伸明
    • Organizer
      2021年度統計関連学会連合大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Bayesian dynamic fused lasso2021

    • Author(s)
      Kaoru Irie
    • Organizer
      Bayesian Inference in Stochastic Processes 12 (BISP12)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Robust regression with log-regularly varying error distributions2021

    • Author(s)
      Kaoru Irie (Yasuyuki Hamura and Shonosuke Sugasawa)
    • Organizer
      Eastern Asia Chapter of the International Society for Bayesian Analysis (EAC-ISBA 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the conjugate multivariate stochastic volatility processes2021

    • Author(s)
      Kaoru Irie (Victor Pena)
    • Organizer
      The 14th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 単調回帰のための事前分布2021

    • Author(s)
      入江薫(岡野遼、羽村靖之、菅澤翔之助)
    • Organizer
      2021年度統計関連学会連合大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 漸近不偏推定量の幾何的構成2021

    • Author(s)
      廣瀬雅代, 間野修平
    • Organizer
      2021年度統計関連学会連合大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] A Bayesian construction of asymptotic unbiased estimators2021

    • Author(s)
      Hirose, M. and Mano, S.
    • Organizer
      2021 World Meeting of International Society for Bayesian Analysis
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Admissible estimators of a multivariate normal mean vector when the scale is unknown2021

    • Author(s)
      Yuzo Maruyama
    • Organizer
      Eastern Asia Chapter of the International Society for Bayesian Analysis (EAC-ISBA 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 平均ベクトルの推定における分散未知のもとでの許容的でミニマクスな推定量2021

    • Author(s)
      丸山祐造
    • Organizer
      2021年度統計関連学会連合大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] ノイズが挿入された個票データに対する 多重寸法指標を用いた いくつかのリスク評価方法の比較2021

    • Author(s)
      佐井至道
    • Organizer
      2021年度統計関連学会連合大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Robust regression with log-regularly varying error distributions2021

    • Author(s)
      Kaoru Irie, Yasuyuki Hamura, Shonosuke Sugasawa
    • Organizer
      日本統計学会春季大会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 差分プライバシーの母数の決め方2020

    • Author(s)
      星野伸明
    • Organizer
      2020年度統計関連学会連合大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 局所的な分布を用いたリスク評価の実用化に向けた検討2020

    • Author(s)
      佐井至道
    • Organizer
      2020年度統計関連学会連合大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] On the conjugate multivariate stochastic volatility processes2020

    • Author(s)
      Kaoru Irie, Victor Pena
    • Organizer
      Webinar of Bayesian Econometrics 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 差分プライベートなサンプリング2019

    • Author(s)
      星野伸明
    • Organizer
      2019年度統計関連学会連合大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 差分プライベートなミクロデータ2019

    • Author(s)
      星野伸明
    • Organizer
      Computer Security Symposium 2019
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 局所的な分布を用いた個票データのリスク評価2019

    • Author(s)
      佐井至道
    • Organizer
      2019年度統計関連学会連合大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Ensemble minimaxity of James-Stein estimators2019

    • Author(s)
      Yuzo Maruyama
    • Organizer
      Symposium in Memory of Charles Stein
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Ensemble minimaxity of James-Stein estimators2019

    • Author(s)
      Yuzo Maruyama
    • Organizer
      "New and Evolving Roles of Shrinkage in Large-Scale Prediction and Inference" workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Samplers from toric models with computational algebra2019

    • Author(s)
      Shuhei Mano
    • Organizer
      Algebraic Statistics Workshop, Research Institute for Computational and Applied Mathematics, Linz, Austria
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Direct sampler with computational algebra for toric models2019

    • Author(s)
      Shuhei Mano
    • Organizer
      The 28th South Taiwan Statistics Conference, Taichun, Taiwan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 匿名のデータとは何か2018

    • Author(s)
      星野伸明
    • Organizer
      日本計算機統計学会第32回シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 統計的推測精度の管理2018

    • Author(s)
      星野伸明
    • Organizer
      Computer Security Symposium 2018
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Rejection Sampling from the Quasi-Multinomial Distribution2018

    • Author(s)
      星野伸明
    • Organizer
      2018年度統計関連学会連合大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] The Quasi-Multinomial Synthesizer for Categorical Data2018

    • Author(s)
      Hu, J. and Hoshino, N.
    • Organizer
      Privacy in Statistical Databases (PSD) 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] リスクの高いデータの秘匿について2018

    • Author(s)
      佐井至道
    • Organizer
      2018年度統計関連学会連合大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 非攪乱的および攪乱的な秘匿方法を施した個票データのリスクの比較2018

    • Author(s)
      佐井至道
    • Organizer
      Computer Security Symposium 2018
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Harmonic Bayesian prediction under alpha-divergence2018

    • Author(s)
      Yuzo Maruyama
    • Organizer
      The 3rd Eastern Asia meeting on Bayesian Statistics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Samplers for non-exchangeable prior processes and hypergeometric systems2018

    • Author(s)
      Shuhei Mano
    • Organizer
      The 5th IMS-APRM meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sampling from non-exchangeable priors2018

    • Author(s)
      Shuhei Mano
    • Organizer
      EAC-ISBA 2018 Conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Direct Sequential Sampler for A-hypergeometric Distributions2018

    • Author(s)
      Shuhei Mano and Nobuki Takayama
    • Organizer
      IASC-ARS and CASC joint conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A direct sampler from A-hypergeometric distributions2018

    • Author(s)
      Shuhei Mano and Nobuki Takayama
    • Organizer
      2018年度統計関連学会連合大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 分割,超幾何系,Dirichlet過程と統計的推測2018

    • Author(s)
      間野修平
    • Organizer
      日本数学会2018年度秋季総合分科会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Book] Pioneering Works on Extreme Value Theory2021

    • Author(s)
      Nobuaki Hoshino, Shuhei Mano, and Takaaki Shimura (Eds.)
    • Total Pages
      143
    • Publisher
      Springer, Singapore
    • ISBN
      9789811607677
    • Related Report
      2021 Annual Research Report
  • [Book] Pioneering Works on Distribution Theory2021

    • Author(s)
      Hoshino, N., Mano, S., and Shimura, T. (Eds.)
    • Total Pages
      128
    • Publisher
      Springer
    • ISBN
      981159662X
    • Related Report
      2020 Annual Research Report
  • [Book] 日本統計学会公式認定 統計検定準1級対応  統計学実践ワークブック2020

    • Author(s)
      竹村彰通他編著,青木敏,佐井至道,その他18名
    • Total Pages
      352
    • Publisher
      学術図書出版社
    • ISBN
      9784780608526
    • Related Report
      2020 Annual Research Report
  • [Book] Partitions, Hypergeometric Systems, and Dirichlet Processes in Statistics2018

    • Author(s)
      Shuhei Mano
    • Total Pages
      135
    • Publisher
      Springer
    • ISBN
      9784431558866
    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 大規模データの公開におけるプライバシー保護の理論と応用2021

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] Pioneering Workshop on Extreme Value and Distribution Theories2019

    • Related Report
      2018 Annual Research Report

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Published: 2018-04-23   Modified: 2022-12-28  

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