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2012 Fiscal Year Final Research Report

Research and development of the advanced expert mathematical library for the information network society

Research Project

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Project/Area Number 20241038
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionTokyo Institute of Technology

Principal Investigator

MIZUNO Shinji  東京工業大学, 大学院・社会理工学研究科, 教授 (90174036)

Co-Investigator(Kenkyū-buntansha) KOJIMA Masakazu  東京工業大学, 大学院・情報理工学研究科, 名誉教授 (90092551)
HIGA Kunihiko  東京工業大学, イノベーションマネジメン ト研究科, 教授 (50282877)
NINOMIYA Shoiti  東京工業大学, イノベーションマネジメント研究科, 教授 (70313377)
OGATA Wakaha  東京工業大学, イノベーションマネジメン ト研究科, 准教授 (90275313)
NAKAGAWA Hidetoshi  一橋大学, 国際企業戦略研究科, 准教授 (30361760)
NAKATA Kazuhide  東京工業大学, 大学院・社会理工学研究科, 准教授 (00312984)
NAKANO Yumiharu  東京工業大学, イノベーションマネジメン ト研究科, 准教授 (00452409)
KITAHARA Tomonari  東京工業大学, 大学院・社会理工学研究科, 助教 (10551260)
TAKANO Yuichi  東京工業大学, 大学院・社会理工学研究科, 助教 (40602959)
Project Period (FY) 2008 – 2012
KeywordsOR
Research Abstract

We have carried out theoretical research into mathematical technology of finance and financial engineering including three main topics ‘ optimization and operations research’,‘stochastic numerical analysis’, and ‘information network security’. We opened software of them to the internet. We also designed and developed a financial numerical calculation system. As a result, it makes possible to easily access our highly specialized mathematical technology.

  • Research Products

    (46 results)

All 2013 2012 2011 2010 2009 2008 Other

All Journal Article (20 results) (of which Peer Reviewed: 20 results) Presentation (23 results) Book (1 results) Remarks (1 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] A bound for the number of different basic solutionsgenerated by the simplex method2013

    • Author(s)
      T. Kitahara and S. Mizuno
    • Journal Title

      Mathematical Programming

      Volume: Vol.137 Pages: 579-586

    • DOI

      DOI:10.1007/s10107-011-0482-y

    • Peer Reviewed
  • [Journal Article] Olivier Le Courtois and Hidetoshi Nakagawa, On Surrender and Default Risks2013

    • Journal Title

      Mathematical Finance

      Volume: Vol.23 Pages: 143-168

    • DOI

      DOI:10.1111/j.1467-99965.2011.00487.x

    • Peer Reviewed
  • [Journal Article] A polynomial optimization approach to constant rebalanced portfolio selection2012

    • Author(s)
      Y. Takano and R. Sotirov
    • Journal Title

      Computational Optimization andApplications

      Volume: Vol.52 Pages: 645-666

    • DOI

      DOI:10.1007/s10589-011-9436-9

    • Peer Reviewed
  • [Journal Article] On the number of solutions generated by Dantzig's simplex method for LP with bounded variables2012

    • Author(s)
      T. Kitahara, T. Matsui, and S. Mizuno
    • Journal Title

      Pacific Journal of Optimization

      Volume: Vol8 Pages: 447-455

    • Peer Reviewed
  • [Journal Article] On approximating law-invariant comonotonic coherent riskmeasures2012

    • Author(s)
      Y. Nakano
    • Journal Title

      Astin Bulletin

      Volume: Vol.42 Pages: 343-353

    • Peer Reviewed
  • [Journal Article] SFSDP": a sparse version of full semidefinite programming relaxation for sensor network localization problem2012

    • Author(s)
      S. Kim, M. Kojima, H. Waki, and M. Yamashita
    • Journal Title

      ACM Transactions on Mathematical Software

      Volume: Vo.38, article no.27

    • DOI

      DOI:10.1145/2331130.2331135

    • Peer Reviewed
  • [Journal Article] Latest developments in the SDPA Family for solving large-scale SDPs, Handbook of Semidefinite2012

    • Author(s)
      M. Yamashita, K. Fujisawa, M. Fukuda, K. Kobayashi, K. Nakata, and M. Nakata
    • Journal Title

      Conic and Polynomial Optimization, M. Anjos and J.B. Lasserre(eds.), Springer

      Volume: Vol.166 Pages: 687-713

    • DOI

      DOI:10.1007/978-1-4614-0769-0_24

    • Peer Reviewed
  • [Journal Article] Klee-Minty'sLP and Upper Bounds for Dantzig's Simplex Method2011

    • Author(s)
      水野 眞治, 北原 知就
    • Journal Title

      Operations Research Letters

      Volume: Vol.39 Pages: 88-91

    • DOI

      DOI:10.1016/j.orl.2011.01.003

    • Peer Reviewed
  • [Journal Article] A study on communication media selection: comparing the effectiveness of the media richness, social influence, and media fitness2011

    • Author(s)
      R. Gu, K. Higa, and D.R. Moodie
    • Journal Title

      Journal of Service Science andManagement

      Volume: Vol.4 Pages: 291-299

    • Peer Reviewed
  • [Journal Article] A nonlinear control policy using kernel method for dynamic asset allocation2011

    • Author(s)
      Y. Takano and J. Gotoh
    • Journal Title

      Journal of theOperations Research Society of Japan

      Volume: Vol.54 Pages: 201-218

    • Peer Reviewed
  • [Journal Article] Constant rebalanced portfolio optimization under nonlinear transaction costs2011

    • Author(s)
      Y. Takano and J. Gotoh
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: Vol.18 Pages: 191-211

    • DOI

      DOI:10.1007/s10690-010-9130-4

    • Peer Reviewed
  • [Journal Article] Analysis of thepeculiarity of the Japanese software development style in offshore software development2011

    • Author(s)
      A. Yoshii and K. Higa
    • Journal Title

      IEEJ Transactions onElectrical and Electronic Engineering

      Volume: Vol.6 Pages: 46-50

    • DOI

      DOI:10.1002/tee.20605

    • Peer Reviewed
  • [Journal Article] Modeling of contagious downgrades and its application to multi-downgrade protection2010

    • Author(s)
      H. Nakagawa
    • Journal Title

      JSIAM Letters

      Volume: Vol.2 Pages: 65-68

    • DOI

      DOI:10.2139/ssrn.1730802

    • Peer Reviewed
  • [Journal Article] Proximity of weighted and layered least squares solutions2010

    • Author(s)
      T. Kitahara and T. Tsuchiya
    • Journal Title

      SIAM Journal on Matrix Analysis and Applications

      Volume: Vol.31 Pages: 1172-1186

    • DOI

      DOI:10.1137/080725787

    • Peer Reviewed
  • [Journal Article] Recognizing Underlying Sparsity in Optimization2009

    • Author(s)
      S.Kim, M.Kojima and P.Toint
    • Journal Title

      Mathematical Programming

      Volume: Vol.119 Pages: 273-303

    • DOI

      DOI:10.1007/s10107-008-0210-4

    • Peer Reviewed
  • [Journal Article] Collision-Based Power Attack for RSA with Small Public Exponent2009

    • Author(s)
      Kouichi Itou, Dai Yamamoto, Jun Yajima and Wakaha Ogata
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: Vol.E92-D Pages: 897-908

    • DOI

      DOI:10.1587/transinf.E92.D.897

    • Peer Reviewed
  • [Journal Article] A new higher-order weak approximation scheme of stochastic differential equations and the Runge-Kutta method2009

    • Author(s)
      S. Ninomiya and M. Ninomiya
    • Journal Title

      Finance and Stochastics

      Volume: Vol.13 Pages: 415-443

    • DOI

      DOI:10.1007/s00780-009-0101-4

    • Peer Reviewed
  • [Journal Article] プライバシー保護を考慮したRFID方式の大規模システムへの適用2008

    • Author(s)
      阿部正己,尾形わかは
    • Journal Title

      電子情報通信学会論文誌

      Volume: Vol.J91-A Pages: 399-410

    • Peer Reviewed
  • [Journal Article] Syoiti Ninomiya and Nicolas Victoir, Weak approximation of stochastic differential equations and application to derivative pricing2008

    • Journal Title

      Applied MathematicalFinance

      Volume: Vol.15 Pages: 107-121

    • DOI

      DOI:10.1080/13504860701413958

    • Peer Reviewed
  • [Journal Article] Quadratic and convex minimax classification problems2008

    • Author(s)
      T. Kitahara, S. Mizuno, and K. Nakata
    • Journal Title

      Journal of theOperations Research Society of Japan

      Volume: Vol.51 Pages: 191-201

    • Peer Reviewed
  • [Presentation] 確率計画法とその応用2013

    • Author(s)
      高野祐一
    • Organizer
      「電力システムと最適化」ワークショップ
    • Place of Presentation
      東京大学生産技術研究所(東京)
    • Year and Date
      2013-03-28
  • [Presentation] On the Number of Solutions Generated by the Simplex Method for LP2012

    • Author(s)
      S. Mizuno and T. Kitahara
    • Organizer
      The Second Workshop on Optimization and Risk Management
    • Place of Presentation
      Hong Kong Polytechnic University(香港)
    • Year and Date
      20121045
  • [Presentation] On the Number of Solutions Generated by the Simplex Method for LP2012

    • Author(s)
      T. Kitahara and S. Mizuno
    • Organizer
      First ETH-JAPAN Symposiumfor Academic Exchanges
    • Place of Presentation
      Eidgenossische Technische HochschuleZurich(スイス)
    • Year and Date
      20120307-09
  • [Presentation] 確率制御問題の数値解法について2012

    • Author(s)
      中野張
    • Organizer
      金融工学・数理計量ファイナンスの諸問題2012
    • Place of Presentation
      大阪大学中之島センター(大阪)
    • Year and Date
      2012-12-01
  • [Presentation] An Upper bound for the Number of Different Solutions Generated by the Primal Simplex Method with Any Selection Rule of Entering Variables2012

    • Author(s)
      S. Mizuno and T. Kitahara
    • Organizer
      The 21st International Symposium on Mathematical Programming(ISMP2012)
    • Place of Presentation
      BerlinInstitute of Technology(ドイツ)
    • Year and Date
      2012-08-22
  • [Presentation] 多項式最適化問題の半正定値計画緩和2012

    • Author(s)
      小島政和
    • Organizer
      日本オペレーションズ・リサーチ学会「最適化の理論と応用」研究部会
    • Place of Presentation
      筑波大学(茨城)
    • Year and Date
      2012-07-01
  • [Presentation] OnSurrender and Default Risk2012

    • Author(s)
      H. Nakagawa and O. Le Courtois
    • Organizer
      The CREST and4th Ritsumeikan-Florence Workshop on Risk, Simulation and Related Topics
    • Place of Presentation
      立命館アジア太平洋大学(大分)
    • Year and Date
      2012-03-10
  • [Presentation] A nonlinear control policy using kernel method for dynamic asset allocation2011

    • Author(s)
      Y. Takano and J. Gotoh
    • Organizer
      INFORMS 2011Annual Meeting
    • Place of Presentation
      Charlotte Convention Center(アメリカ)
    • Year and Date
      20111113-16
  • [Presentation] The higher-order weak approximation algorithms for SDEs2011

    • Author(s)
      S. Ninomiya, S. Kusuoka, and M. Ninomiya
    • Organizer
      The second workshop on numerical methods for solving the filtering problem and high order methods for solving parabolic PDEs
    • Place of Presentation
      Imperial College(イギリス)
    • Year and Date
      20110926-29
  • [Presentation] Higher-order weak approximation algorithms for SDEs2011

    • Author(s)
      S. Ninomiya, S. Kusuoka, and M.Ninomiya
    • Organizer
      some trials on barrier option problem and higher order algorithms, Stochastic PDEs
    • Place of Presentation
      Eidgenossische TechnischeHochschule Zurich(スイス)
    • Year and Date
      20110912-16
  • [Presentation] Klee-Mint2011

    • Author(s)
      y's LP and upper bounds for Dantzig's simplex method
    • Organizer
      International Conference on Operations Research
    • Place of Presentation
      University of Zurich(スイス)
    • Year and Date
      20110830-0902
  • [Presentation] A bound for the number of different basic solutions generated by the simplex method2011

    • Author(s)
      T. Kitahara and S. Mizuno
    • Organizer
      SIAM conference on Optimization
    • Place of Presentation
      Darmstadtium Conference Center(ドイツ)
    • Year and Date
      20110516-19
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2011

    • Author(s)
      高野祐一,後藤順哉
    • Organizer
      日本オペレーションズ・リサーチ学会「計算と最適化の新展開」研究部会
    • Place of Presentation
      中央大学(東京)
    • Year and Date
      2011-12-17
  • [Presentation] A Bound for the Number of Different Basic Solutions Generated by the Simplex Method2010

    • Author(s)
      Shinji Mizuno and Tomonari Kitahara
    • Organizer
      Plenary Talk at ICOTA8
    • Place of Presentation
      復旦大学(中国)
    • Year and Date
      20101210-13
  • [Presentation] On an extension of a higher-order weak approximation method for SDEs2010

    • Author(s)
      S. Ninomiya and M. Ninomiya
    • Organizer
      Workshop on numerical methods for solving the filtering problem and high order methodsfor solving parabolic PDEs
    • Place of Presentation
      Imperial College(イギリス)
    • Year and Date
      20100929-29
  • [Presentation] Enclosing ellipsoids and elliptic cylinders of semialgebraic sets and their application to error bound in polynomial optimization, Modern Trends in Optimization and Its Application,Workshop II2010

    • Author(s)
      M. Kojima
    • Organizer
      Numerical Methods for ContinuousOptimization IPAM
    • Place of Presentation
      University of California(アメリカ)
    • Year and Date
      2010-10-01
  • [Presentation] Modeling of contagious downgrades and its application to multi-downgrade protection2010

    • Author(s)
      H. Nakagawa
    • Organizer
      Sixth World Congress of the Bachelier Finance Society
    • Place of Presentation
      Hilton Toronto(カナダ)
    • Year and Date
      2010-06-24
  • [Presentation] Duality in the Positive Semidefinite Matrix Completion and Its Application to SDPs2009

    • Author(s)
      Masakazu Kojima
    • Organizer
      The20^<th> International Symposium inMathematical Programming
    • Place of Presentation
      Chicago Marriott Downtown magnificent Mile and Gleacher Center (アメリカ)
    • Year and Date
      20090823-28
  • [Presentation] A higher-order weak approximation method of SDEs2009

    • Author(s)
      Syoiti Ninomiya
    • Organizer
      Workshop:Computational Finance
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      20090810-12
  • [Presentation] Regional activation and administrative reform model with Telework, EEE'09-The2009 International Conference on e-Learning, e-Business2009

    • Author(s)
      Hodaka Nakanishi and Kunihiko Higa
    • Organizer
      Enterprise Information Systems, and e-Government
    • Place of Presentation
      Monte Carlo Las Vegas(アメリカ)
    • Year and Date
      20090713-16
  • [Presentation] A higher-order weak approximation method of SDEs and the Runge-Kutta method2009

    • Author(s)
      S. Ninomiya
    • Organizer
      Conference on small time asymptotics, perturbation theory and heat kernel methods in mathematical finance
    • Place of Presentation
      Wolfgang Pauli Institute(オーストリア)
    • Year and Date
      20090210-12
  • [Presentation] Modeling of Contagious Downgrades and Its Application to Muiti-Downgrade Protection2009

    • Author(s)
      Hidetoshi Nakagawa
    • Organizer
      Quantitative Methods in Finance Conference(QMF)2009
    • Place of Presentation
      Amora Hotel(オーストラリア)
    • Year and Date
      2009-12-16
  • [Presentation] Modeling of contagious rating changes and its application to multi-downgrade protection2009

    • Author(s)
      H. Nakagawa
    • Organizer
      The 2nd International Financial Research Forum
    • Place of Presentation
      Pavillon Royal(フランス)
    • Year and Date
      2009-03-20
  • [Book] 確率論(基礎数理講座2)2008

    • Author(s)
      高橋 幸雄
    • Total Pages
      288
    • Publisher
      朝倉書店
  • [Remarks] 情報化ネットワーク社会に向けた高度な専門的数理技術ライブラリの研究と開発

    • URL

      http://quants.me.titech.ac.jp/index.html

  • [Patent(Industrial Property Rights)] 充足可能解列挙システム2009

    • Inventor(s)
      小島 政和, 宇野 毅明,秋葉博
    • Industrial Property Rights Holder
      株式会社アライドエンジニアリング,国立大学法人東京工業大学,マツダ株式会社
    • Industrial Property Number
      特許第4298333号
    • Acquisition Date
      2009-04-24

URL: 

Published: 2014-08-29  

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