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Unified Optimization Theory by Discrete Convex Paradigm

Research Project

Project/Area Number 21360045
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionThe University of Tokyo

Principal Investigator

MUROTA Kazuo  東京大学, 情報理工学(系)研究科, 教授 (50134466)

Co-Investigator(Renkei-kenkyūsha) TAMURA Akihisa  慶應義塾大学, 理工学部, 教授 (50217189)
IWATA Satoru  東京大学, 大学院情報理工学系研究科, 教授 (00263161)
SHIOURA Akiyoshi  東北大学, 情報科学研究科, 准教授 (10296882)
MORIGUCHI Satoko  首都大学東京, 社会科学研究科, 准教授 (60407351)
KAKIMURA Naonori  東京大学, 大学院総合文化研究科, 特任講師 (30508180)
KOBAYASHI Yusuke  東京大学, 大学院情報理工学系研究科, 助教 (40581591)
TSUCHIMURA Nobuyuki  関西学院大学, 理工学部, 教育技術職員 (20345119)
Project Period (FY) 2009-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥17,810,000 (Direct Cost: ¥13,700,000、Indirect Cost: ¥4,110,000)
Fiscal Year 2013: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2012: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2009: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords離散最適化 / 凸関数 / 双対性 / 劣モジュラ関数 / マトロイド / 数理工学 / 最適化 / アルゴリズム
Outline of Final Research Achievements

This research integrated the theory and application of optimization in various fields of engineering and social sciences by Discrete Convex Paradigm. We analyzed the theory and applications of discrete convex analysis, to clarify the mutual relationship of the individual mathematical techniques and problems in applications, from three aspects of the continuous-discrete axis, the convex-nonconvex axis, and the fields-transversal axis. Also we conducted research from three aspects of mathematical deepening, applications development, and software development, and achieved the new developments in Discrete Convex Paradigm. In particular, mathematical deepening includes the results of detailed analysis in L-convex function minimization algorithm and presentation of a framework of discrete DC programming.

Report

(6 results)
  • 2014 Final Research Report ( PDF )
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (115 results)

All 2015 2014 2013 2012 2011 2010 2009 Other

All Journal Article (39 results) (of which Peer Reviewed: 39 results,  Acknowledgement Compliant: 5 results) Presentation (70 results) (of which Invited: 22 results) Book (2 results) Remarks (4 results)

  • [Journal Article] On the lattice structure of stable allocations in two-sided discrete-concave market2015

    • Author(s)
      K. Murota and Y. Yokoi
    • Journal Title

      Mathematics of Operations Research

      Volume: 40 Pages: 460-473

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Valuated matroid-based algorithm for submodular welfare problem2015

    • Author(s)
      T. Maehara and K. Murota
    • Journal Title

      Annals of Operations Research

      Volume: ― Issue: 1 Pages: 565-590

    • DOI

      10.1007/s10479-015-1835-3

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A combinatorial formula for principal minors of a matrix with tree-metric exponents and its applications2015

    • Author(s)
      H. Hirai and A. Yabe
    • Journal Title

      Journal of Combinatorial Theory, Series A

      Volume: 133 Pages: 261-279

    • DOI

      10.1016/j.jcta.2015.02.005

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Exact bounds for steepest descent algorithms of L-convex function minimization2014

    • Author(s)
      K. Murota and A. Shioura
    • Journal Title

      Operations Research Letters

      Volume: 42 Pages: 361-366

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A framework of discrete DC programming by discrete convex analysis2014

    • Author(s)
      T. Maehara and K. Murota
    • Journal Title

      Mathematical Programming, Series A

      Volume: ― Issue: 1-2 Pages: 435-466

    • DOI

      10.1007/s10107-014-0792-y

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Triangle-free 2-matchings and M-concave functions on jump systems2014

    • Author(s)
      Y. Kobayashi
    • Journal Title

      Discrete Applied Mathematics

      Volume: 175 Pages: 35-42

    • DOI

      10.1016/j.dam.2014.05.016

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dijkstra's algorithm and L-concave function maximization2014

    • Author(s)
      K. Murota and A. Shioura
    • Journal Title

      Mathematical Programming, Series A

      Volume: 145 Issue: 1-2 Pages: 163-177

    • DOI

      10.1007/s10107-013-0643-2

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust matchings and matroid intersections2013

    • Author(s)
      R. Fujita, Y. Kobayashi, and K. Makino
    • Journal Title

      SIAM Journal on Discrete Mathematics

      Volume: 27 Issue: 3 Pages: 1234-1256

    • DOI

      10.1137/100808800

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computing the maximum degree of minors in mixed polynomial matrices via combinatorial relaxation2013

    • Author(s)
      S. Iwata, M. Takamatsu
    • Journal Title

      Algorithmica

      Volume: 66 Pages: 346-368

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finding 2-factors closer to TSP tours in cubic graphs2013

    • Author(s)
      S. Boyd, S. Iwata, and K. Takazawa
    • Journal Title

      SIAM Journal on Discrete Mathematics

      Volume: Vol.27 Issue: 2 Pages: 918-939

    • DOI

      10.1137/110843514

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Approximating max-min weighted T-joins2013

    • Author(s)
      S. Iwata and R. Ravi
    • Journal Title

      Operations Research Letters

      Volume: Vol.41 Issue: 4 Pages: 321-324

    • DOI

      10.1016/j.orl.2013.03.004

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An O(log n)-approximation algorithm for the edge-disjoint paths problem in Eulerian planar graphs2013

    • Author(s)
      K. Kawarabayashi and Y. Kobayashi
    • Journal Title

      ACM Transactions on Algorithms

      Volume: 9 Issue: 2 Pages: 1-13

    • DOI

      10.1145/2438645.2438648

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 多項式行列における離散ルジャンドル双対性2013

    • Author(s)
      森山 学志,室田 一雄
    • Journal Title

      応用数理学会論文誌

      Volume: Vol.23, No.2 Pages: 183-202

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 離散凸最適化ソルバとデモンストレーションソフトウェア2013

    • Author(s)
      土村 展之,森口 聡子,室田 一雄
    • Journal Title

      応用数理学会論文誌

      Volume: Vol.23, No.2 Pages: 233-252

    • NAID

      110009616462

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A flow model based onpolylinking systems2012

    • Author(s)
      M .X .Goemans, S .Iwata, and R .Zenklusen
    • Journal Title

      Mathematical Programming

      Volume: Vol.135 Issue: 1-2 Pages: 1-23

    • DOI

      10.1007/s10107-011-0446-2

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computational geometric approach to submodular function minimization for multiclass queueing systems2012

    • Author(s)
      T. Itoko and S. Iwata
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: Vol.29 Issue: 3 Pages: 453-468

    • DOI

      10.1007/s13160-012-0074-0

    • NAID

      10031126877

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Matroid rank functions and discrete concavity2012

    • Author(s)
      A. Shioura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 29 Issue: 3 Pages: 535-546

    • DOI

      10.1007/s13160-012-0082-0

    • NAID

      10031126882

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Legendre duality in combinatorial study of matrix pencils2012

    • Author(s)
      K. Murota
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 29, No.2 Issue: 2 Pages: 205-236

    • DOI

      10.1007/s13160-011-0051-z

    • NAID

      10030784461

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed-parameter tractability for the subset feedback set problem and the S-cycle packing problem2012

    • Author(s)
      K. Kawarabayashi and Y. Kobayashi
    • Journal Title

      Journal of Combinatorial Theory, Series B

      Volume: 102 Issue: 4 Pages: 1020-1034

    • DOI

      10.1016/j.jctb.2011.12.001

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cone superadditivity of discrete convex functions2012

    • Author(s)
      Y. Kobayashi, K. Murota and R. Weismantel
    • Journal Title

      Mathematical Programming, Series A

      Volume: 135 Issue: 1-2 Pages: 25-44

    • DOI

      10.1007/s10107-011-0447-1

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope2012

    • Author(s)
      T. Iimura, K. Murota and A. Tamura
    • Journal Title

      Discrete Applied Mathematics

      Volume: 160 Issue: 4-5 Pages: 588-592

    • DOI

      10.1016/j.dam.2011.11.018

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On discrete Hessian matrix and convex extensibility2012

    • Author(s)
      S. Moriguchi and K. Murota
    • Journal Title

      Journal of Operations Research Society of Japan

      Volume: 55 Pages: 48-62

    • NAID

      110009436526

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A flow model based on polylinking systems2012

    • Author(s)
      M.X.Goemans, S.Iwata, R.Zenklusen
    • Journal Title

      Mathematical Programming, Series A

      Volume: (印刷中)(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Matching with partially ordered contracts2012

    • Author(s)
      R.Farooq, T.Fleiner, A.Tamura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: (印刷中)(掲載確定)

    • NAID

      10031126874

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cone superadditivity of discrete convex functions2012

    • Author(s)
      Y.Kobayashi, K.Murota, R.Weismantel
    • Journal Title

      Mathematical Programming, Series A

      Volume: (印刷中)(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An algorithm for finding a maximum t-matching excluding complete partite subgraphs2012

    • Author(s)
      Y.Kobayashi, X.Yin
    • Journal Title

      Discrete Optimization

      Volume: (印刷中)(掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An improved algorithm for the half-disjoint paths problem2011

    • Author(s)
      K. Kawarabayashi and Y. Kobayashi
    • Journal Title

      SIAM Journal on Discrete Mathematics

      Volume: 25 Issue: 3 Pages: 1322-1330

    • DOI

      10.1137/100808812

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Kronecker canonical form of mixed matrix pencils2011

    • Author(s)
      S. Iwata and M. Takamatsu
    • Journal Title

      SIAM Journal on Matrix Analysis and Applications

      Volume: 32 Issue: 1 Pages: 44-71

    • DOI

      10.1137/100783315

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] M-convex function minimization by continuous relaxation approach : proximity theorem and algorithm2011

    • Author(s)
      S.Moriguchi, A.Shioura, N.Tsuchimura
    • Journal Title

      SIAM Journal on Optimization

      Volume: 21-3 Pages: 633-668

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cone Superadditivity of Discrete Convex Functions2011

    • Author(s)
      Y.Kobayashi, K.Murota, R.Weismantel
    • Journal Title

      Mathematical Programming, Series A

      Volume: (印刷中(掲載確定))

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A simple algorithm for finding a maximum triangle-free 2-matching in subcubic graphs2010

    • Author(s)
      Y.Kobayashi
    • Journal Title

      Discrete Optimization

      Volume: 7 Pages: 197-202

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Submodular function minimization and maximization in discrete convex analysis2010

    • Author(s)
      K.Murota
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B23 Pages: 193-211

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Fast Algorithm for Computing a Nearly Equitable Edge Colorling with Balanced Conditions2010

    • Author(s)
      A.Shioura, M.Yagiura
    • Journal Title

      Journal of Graph Algorithms and Applications

      Volume: 14(2) Pages: 391-407

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Submodular Function Minimization and Maximization in Discrete Convex Analysis2010

    • Author(s)
      K.Murota
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B23 Pages: 193-211

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete L-Convex Functions Minimization Based on Continuous Relaxation2009

    • Author(s)
      S.Moriguchi, N.Tsuchimura
    • Journal Title

      Pacific Journal of Optimization

      Volume: 5 Pages: 227-236

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Single Machine Scheduling with Controllable Processing Times by Submodular Optimization2009

    • Author(s)
      N.V.Shakhlevich, A.Shioura, V.A.Strusevich
    • Journal Title

      International Journal of Foundations of Computer Science

      Volume: 20(2) Pages: 247-269

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Pipage Rounding Algorithm for Submodular Function Max imization ---A View from Discrete Convex Analysis---2009

    • Author(s)
      A.Shioura
    • Journal Title

      Discrete Mathematics, Algorithms and Applications

      Volume: 1(1) Pages: 1-23

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New Algorithms for Convex Cost Tension Problem with Application to Computer Vision2009

    • Author(s)
      V.Kolmogorov, A.Shioura
    • Journal Title

      Discrete Optimization

      Volume: 6(4) Pages: 378-393

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Submodular Function Minimization under Covering Constraints

    • Author(s)
      S.Iwata, K.Nagano
    • Journal Title

      Proceedings of the 50th Annual IEEE Symposium on Foundation of Computer Science

      Volume: 2009 Pages: 671-680

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Discrete DC programming by discrete convex analysis2014

    • Author(s)
      K. Murota
    • Organizer
      Oberwolfach Workshop on Combinatorial Optimization
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach (Oberwolfach, Germany)
    • Year and Date
      2014-11-11
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 小行列式最大次数列に対する組合せ緩和法の効率化2014

    • Author(s)
      佐藤 峻,室田 一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2014年秋季研究発表会
    • Place of Presentation
      北海道科学大学(北海道札幌市)
    • Year and Date
      2014-08-28
    • Related Report
      2013 Annual Research Report
  • [Presentation] Stability and competitive equilibrium in extended trading networks with discrete concave utility functions2014

    • Author(s)
      Y.T. Ikebe, Y. Sekiguchi, A. Shioura and A. Tamura
    • Organizer
      The Second International Workshop on Market Design Technologies for Substainable Development
    • Place of Presentation
      Keio University(横浜市港北区)
    • Year and Date
      2014-08-17
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Max-flow min-cut theorem and faster algorithms in a circular disk failure model2014

    • Author(s)
      小林佑輔
    • Organizer
      JST ERATO 河原林巨大グラフプロジェクト・感謝祭 Summer 2014
    • Place of Presentation
      国立情報学研究所(東京都千代田区)
    • Year and Date
      2014-08-08
    • Related Report
      2013 Annual Research Report
  • [Presentation] アルゴリズムの評価:安定結婚問題を通して2014

    • Author(s)
      田村明久
    • Organizer
      日本オペレーションズリサーチ学会研究部会SOTA
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2014-05-31
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Max-flow min-cut theorem and faster algorithms in a circular disk failure model2014

    • Author(s)
      Y. Kobayashi and K. Otsuki
    • Organizer
      The 33rd Annual IEEE International Conference on Computer Communications (INFOCOM 2014)
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2014-04-27 – 2014-05-02
    • Related Report
      2013 Annual Research Report
  • [Presentation] Auction theory and discrete convex analysis2014

    • Author(s)
      Kazuo Murota
    • Organizer
      Meeting in honor of Andras Sebo
    • Place of Presentation
      University of Grenoble (Grenoble, France)
    • Year and Date
      2014-04-24 – 2014-04-25
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Time complexity analysis of iterative auctions with multiple differentiated items2014

    • Author(s)
      K. Murota and A. Shioura, and Z. Yang
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2014-04-24
    • Related Report
      2013 Annual Research Report
  • [Presentation] 準M-natural 凹評価関数を用いた一般化安定結婚モデル2014

    • Author(s)
      横井優,室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2014年春季研究発表会
    • Place of Presentation
      大阪大学(大阪府豊中市)
    • Year and Date
      2014-03-06
    • Related Report
      2013 Annual Research Report
  • [Presentation] オークション理論と離散凸解析の接点2014

    • Author(s)
      室田一雄
    • Organizer
      ゲーム理論のフロンティア:理論と応用
    • Place of Presentation
      東京工業大学大岡山キャンパス(東京都目黒区)
    • Year and Date
      2014-03-03
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 離散ヘッセ行列と離散凸関数2014

    • Author(s)
      室田一雄
    • Organizer
      文部科学省数学協働プログラム(数学・数理科 学 と諸科学・産業との協働による イノベーション創出のための研究促進プログラム) 「正定対称行列をめぐるモデリング・数理・アルゴリズムの世界」
    • Place of Presentation
      政策研究大学院大学(東京都港区)
    • Year and Date
      2014-01-14
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] The generalized terminal backup problem2014

    • Author(s)
      A. Bernath and Y. Kobayashi
    • Organizer
      The 25th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2014)
    • Place of Presentation
      Portland, USA
    • Year and Date
      2014-01-05 – 2014-01-07
    • Related Report
      2013 Annual Research Report
  • [Presentation] Discrete convex analysis: Basics, DC programming, and submodular welfare algorithm2013

    • Author(s)
      K. Murota
    • Organizer
      NIPS workshop: Discrete Optimization in Machine Learning: Connecting Theory and Practice
    • Place of Presentation
      Lake Tahoe (Nevada, USA)
    • Year and Date
      2013-12-09
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Brief introduction to discrete convex analysis2013

    • Author(s)
      K. Murota
    • Organizer
      The First International Workshop on Market Design Technologies for Sustainable Development
    • Place of Presentation
      Keio University(横浜市港北区)
    • Year and Date
      2013-11-27
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 整数格子点上の安定結婚問題がもつ束構造2013

    • Author(s)
      横井優,室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2013年度秋季研究発表会
    • Place of Presentation
      徳島大学(徳島県徳島市)
    • Year and Date
      2013-09-11
    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
  • [Presentation] 離散凸関数の最小化ソルバODICONの開発2013

    • Author(s)
      土村展之
    • Organizer
      日本応用数理学会 LASM Workshop 2013 数学ソフトウェアの開発と実践
    • Place of Presentation
      アクロス福岡(福岡市中央区)
    • Year and Date
      2013-09-10
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Triangle-free 2-matchings and M-concave functions on jump systems2013

    • Author(s)
      Y. Kobayashi
    • Organizer
      The 8th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Year and Date
      2013-06-04 – 2013-06-07
    • Related Report
      2013 Annual Research Report
  • [Presentation] Computing a Walrasian equilibrium in iterative auctions with multiple differentiated items2013

    • Author(s)
      K. Murota, A. Shioura, and Z. Yang
    • Organizer
      The 24th International Symposium on Algorithms and Computation (ISAAC 2013)
    • Place of Presentation
      Hong Kong, Hong Kong Special Administrative Region of the People’s Republic of China
    • Related Report
      2012 Annual Research Report
  • [Presentation] Dijkstra's algorithm viewed from discrete convex analysis2013

    • Author(s)
      K. Murota and A. Shioura
    • Organizer
      The 8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Stability in supply chain networks: An approach by discrete convex analysis2013

    • Author(s)
      A. Tamura
    • Organizer
      The 8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Related Report
      2012 Annual Research Report
  • [Presentation] M-convex functions on jump systems: A survey2012

    • Author(s)
      K. Murota
    • Organizer
      RIMS Workshop ``Discrete Convexity and Optimization,''
    • Place of Presentation
      Kyoto University, Kyoto
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Matching problems with delta-matroid constraints2012

    • Author(s)
      N. Kakimura and M. Takamatsu
    • Organizer
      The 21th International Symposium on Mathematical Programming (ISMP)
    • Place of Presentation
      Berlin, Germany
    • Related Report
      2012 Annual Research Report
  • [Presentation] ダイクストラ法と離散凸解析2012

    • Author(s)
      室田一雄,塩浦昭義
    • Organizer
      日本オペレーションズ・リサーチ学会2012年秋季研究発表会
    • Place of Presentation
      ウインクあいち(愛知県名古屋市)
    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
  • [Presentation] 離散凸解析を利用したコールセンターのシフトスケジューリング2012

    • Author(s)
      森口聡子,室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2012年度秋季研究発表会
    • Place of Presentation
      ウインクあいち(愛知県名古屋市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Discrete Legendre duality in matrix pencils2012

    • Author(s)
      K. Murota
    • Organizer
      Workshop on Matching, Matroids, and Extensions
    • Place of Presentation
      University of Waterloo, Ontario, Canada
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Introduction to discrete convex analysis2012

    • Author(s)
      K. Murota
    • Organizer
      RIMS workshop ``Discrete Geometric Analysis,''
    • Place of Presentation
      Kyoto University, Kyoto
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 離散ヘッセ行列の半正定値性と凸拡張可能性について2012

    • Author(s)
      森口聡子,室田一雄
    • Organizer
      研究集会「最適化:モデリングとアルゴリズム」
    • Place of Presentation
      政策研究大学院大学(東京都港区)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Computing the convex closure of discrete convex functions2012

    • Author(s)
      Akiyoshi Shioura
    • Organizer
      Workshop on Modern Aspects of Submodularity
    • Place of Presentation
      Georgia Institutes of Technology (Atlanta, USA)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Introduction to discrete convex analysis2012

    • Author(s)
      K. Murota
    • Organizer
      Workshop on Modern Aspects of Submodularity
    • Place of Presentation
      Georgia Institutes of Technology (Atlanta, USA)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Minimization and maximization algorithms in discrete convex analysis2012

    • Author(s)
      K. Murota
    • Organizer
      Workshop on Modern Aspects of Submodularity
    • Place of Presentation
      Georgia Institutes of Technology (Atlanta, USA)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] 半正定値離散ヘッセ行列をもつ離散非凸関数の構成2012

    • Author(s)
      森口聡子,室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2012年春季研究発表会
    • Place of Presentation
      防衛大学校(神奈川県横須賀市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] デルタマトロイド制約付きマッチング2012

    • Author(s)
      垣村尚徳,高松瑞代
    • Organizer
      日本オペレーションズ・リサーチ学会2012年春季研究発表会
    • Place of Presentation
      防衛大学校(神奈川県横須賀市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Weighted Linear Matroid Parity2012

    • Author(s)
      Satoru Iwata
    • Organizer
      Workshop on Matching, Matroids, and Extensions
    • Place of Presentation
      University of Waterloo (Waterloo, Canada)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Discrete Legendre duality in matrix pencils2012

    • Author(s)
      K. Murota
    • Organizer
      Workshop on Matching, Matroids, and Extensions
    • Place of Presentation
      University of Waterloo (Waterloo, Canada)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Matching with partially ordered contracts2012

    • Author(s)
      R. Farooq, T. Fleiner, A. Tamura
    • Organizer
      Second International Workshop on Matching Under Preferences
    • Place of Presentation
      Corvinus University of Budapest (Budapest, Hungary)
    • Related Report
      2011 Annual Research Report
  • [Presentation] 離散凸解析を利用したコールセンターのシフトスケジューリング2012

    • Author(s)
      森口聡子,室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2012年秋季研究発表会
    • Place of Presentation
      ウインクあいち(愛知県名古屋市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] 離散凸解析とマッチングモデル2011

    • Author(s)
      田村明久
    • Organizer
      組合せ最適化セミナー
    • Place of Presentation
      京都大学(京都府)(招待講演)
    • Year and Date
      2011-07-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 離散凸最適化ソルバとデモンストレーションソフトウェアの公開2011

    • Author(s)
      土村展之, 森口聡子, 垣村尚徳, 岩田覚, 室田一雄
    • Organizer
      情報処理学会第133回アルゴリズム研究会
    • Place of Presentation
      愛媛大学(愛媛県)
    • Year and Date
      2011-01-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Polynomial-time approximation scheme for maximizing M#-concave functions under budget constraints2011

    • Author(s)
      Akiyoshi Shioura
    • Organizer
      7th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      京都大学数理解析研究所 (京都市左京区)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Cone superadditivity of discrete convex functions2011

    • Author(s)
      Y. Kobayashi, K. Murota and R. Weismantel
    • Organizer
      7th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      京都大学数理解析研究所 (京都市左京区)
    • Related Report
      2011 Annual Research Report
  • [Presentation] An algorithm for finding a maximum t-matching excluding complete partite subgraphs2011

    • Author(s)
      Y. Kobayashi and X. Yin
    • Organizer
      7th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      京都大学数理解析研究所 (京都市左京区)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Introduction to discrete convex analysis2011

    • Author(s)
      K.Murota
    • Organizer
      6th Pan-Pacific Conference on Game Theory
    • Place of Presentation
      東京工業大学(東京都)(招待講演)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Sperner's lemma and the existence of zero on the discrete simplex and simplotope2011

    • Author(s)
      T.Iimura, K.Murota, A.Tamura
    • Organizer
      6th Pan-Pacific Conference on Game Theory
    • Place of Presentation
      東京工業大学(東京都)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Optimal allocation in combinatorial auctions with quadratic utility functions2011

    • Author(s)
      A.Shioura, S.Suzuki
    • Organizer
      8th Annual Conference on Theory and Applications of Models of Computation (TAMC 2011)
    • Place of Presentation
      電気通信大学(東京都)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Overview of discrete convex analysis2011

    • Author(s)
      A.Shioura
    • Organizer
      19th Triennial Conference of the International Federation of Operational Research Societies (IFORS 2011)
    • Place of Presentation
      Melbourne, Australia
    • Related Report
      2010 Annual Research Report
  • [Presentation] Submodular optimization and approximation algorithms2011

    • Author(s)
      S.Iwata
    • Organizer
      The Fifth Sino-Japanese Optimization Meeting
    • Place of Presentation
      Beijing, China
    • Related Report
      2010 Annual Research Report
  • [Presentation] 離散ヘッセ行列と凸拡張可能性に関する注意2011

    • Author(s)
      森口聡子, 室田一雄
    • Organizer
      日本オペレーションズ・リサーチ学会2011年度秋季研究発表会
    • Place of Presentation
      甲南大学(兵庫県)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete convex analysis and inventory systems2011

    • Author(s)
      S.Moriguchi
    • Organizer
      International Symposium on Mathematics of Logistics : Theory and Practices
    • Place of Presentation
      東京海洋大学(東京都)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Submodular function minimization2010

    • Author(s)
      S.Iwata
    • Organizer
      NIPS 2010 Workshop on Discrete Optimization in Machine Learning : Structures, Algorithms, and Applications
    • Place of Presentation
      Whistler, Canada(招待講演)
    • Year and Date
      2010-12-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] A buyer-seller market with partially ordered contracts2010

    • Author(s)
      A.Tamura
    • Organizer
      Workshop on Combinatorial Geometry and Algorithms
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 離散凸解析とマッチング理論2010

    • Author(s)
      田村明久
    • Organizer
      日本経済学会春期大会特別セッション
    • Place of Presentation
      千葉大学(千葉県)(招待講演)
    • Year and Date
      2010-06-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] Neighbor Systems, Jump Systems, and Bisubmodular Polyhedra2010

    • Author(s)
      塩浦昭義
    • Organizer
      研究集会「最適化:モデリングとアルゴリズム
    • Place of Presentation
      統計数理研究所(東京都立川市)
    • Year and Date
      2010-03-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 離散凸最適化による予備品在庫管理アプリケーションの開発2010

    • Author(s)
      森口聡子, 土村展之
    • Organizer
      日本機械学会生産システム部門講演会2010
    • Place of Presentation
      早稲田大学西早稲田キャンパス(東京都新宿区)
    • Year and Date
      2010-03-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] 分配束上の劣モジュラ関数近似アルゴリズムに関する実験的考察2010

    • Author(s)
      岡野宙輝, 室田一雄
    • Organizer
      日本応用数理学会2010年研究部会連合発表会(「離散システム部会」)
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 離散凸関数の錐別優加法性2010

    • Author(s)
      小林佑輔, 室田一雄, R.Weismantel
    • Organizer
      日本オペレーションズ・リサーチ学会2010年度春季研究発表会
    • Place of Presentation
      首都大学東京(東京都八王子市)
    • Year and Date
      2010-03-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] 安定マッチングモデルとその拡張2010

    • Author(s)
      田村明久
    • Organizer
      「制度・政策デザインと評価」ワークショップ
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2010-02-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Submodular functions : Optimization and approximation2010

    • Author(s)
      S.Iwata
    • Organizer
      International Congress of Mathematicians
    • Place of Presentation
      Hyderabad, India
    • Related Report
      2010 Annual Research Report
  • [Presentation] Neighbor systems, jump systems, and bisubmodular polyhedra2010

    • Author(s)
      A.Shioura
    • Organizer
      International Symposium on Algorithms and Computation (ISAAC) 2010
    • Place of Presentation
      Jeju, South Korea
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Decomposition Algorithm for Linear Optimization Over Polym atroids with Applications2009

    • Author(s)
      N.Shakhlevich, A.Shioura, V.Strusevich
    • Organizer
      The 20th International Symposium on Mathematical Programming
    • Place of Presentation
      Chicago, USA
    • Year and Date
      2009-08-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Submodular Function Minimization under Covering Constraints2009

    • Author(s)
      S.Iwata, K.Nagano
    • Organizer
      The 20th International Symposium on Mathematical Programming
    • Place of Presentation
      Chicago, USA
    • Year and Date
      2009-08-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Fast Algorithm for Computing a Nearly Equitable Edge Coloring with Balanced Conditions2009

    • Author(s)
      A.Shioura, M.Yagiura
    • Organizer
      15th International Computing and Combinatorics Conference (COCOON2009)
    • Place of Presentation
      Niagara Falls, USA
    • Year and Date
      2009-07-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 離散凸解析とマッチングモデル2009

    • Author(s)
      田村明久
    • Organizer
      VCASIセミナー
    • Place of Presentation
      政策研究大学院大学(東京都港区)
    • Year and Date
      2009-06-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Divide-and-Conquer Approach for Polymatroid Optimization with Application to Preemptive Scheduling Problems2009

    • Author(s)
      N.Shakhlevich, A.Shioura, V.Strusevich
    • Organizer
      6th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2009-05-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 2次の効用関数に関する不可分財の最適配分問題の計算量について2009

    • Author(s)
      塩浦昭義, 吉田卓司
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2009-04-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Discrete convex analysis: Basics, DC programming, and submodular welfare algorithm

    • Author(s)
      K. Murota
    • Organizer
      NIPS workshop: Discrete Optimization in Machine Learning: Connecting Theory and Practice
    • Place of Presentation
      Lake Tahoe, Nevada, United States of America
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 最適化理論における離散と連続

    • Author(s)
      室田一雄
    • Organizer
      数理解析研究所設立50周年記念講演会
    • Place of Presentation
      京都大学(京都府京都市)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Brief introduction to discrete convex analysis

    • Author(s)
      K. Murota
    • Organizer
      The First International Workshop on Market Design Technologies for Sustainable Development
    • Place of Presentation
      Keio University, Tokyo
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] ダイクストラ法と離散凸関数最小化

    • Author(s)
      室田一雄,塩浦昭義
    • Organizer
      研究集会「最適化:モデリングとアルゴリズム」
    • Place of Presentation
      統計数理研究所(東京都立川市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] ルジャンドル変換を巡る離散と連続

    • Author(s)
      室田一雄
    • Organizer
      甘利先生文化功労者顕彰記念シンポジウム: 数理工学の過去,現在,未来
    • Place of Presentation
      東京大学(東京都文京区)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Dijkstra algorithm viewed from discrete convex analysis (離散凸解析から見たDijkstra法)

    • Author(s)
      室田一雄,塩浦昭義
    • Organizer
      電子情報通信学会技術研究報告 IEICE Technical Report (Theoretical Foundations of Computing) COMP2012-10
    • Place of Presentation
      愛媛大学(愛媛県松山市)
    • Related Report
      2012 Annual Research Report
  • [Book] 数理工学ライブラリー 2, 離散凸解析と最適化アルゴリズム2013

    • Author(s)
      室田一雄,塩浦昭義
    • Total Pages
      210
    • Publisher
      朝倉書店
    • Related Report
      2012 Annual Research Report
  • [Book] 離散凸解析とゲーム理論2009

    • Author(s)
      田村明久
    • Total Pages
      180
    • Publisher
      朝倉書店
    • Related Report
      2009 Annual Research Report
  • [Remarks] DCP (Discrete Convex Paradigm)

    • URL

      http://www.misojiro.t.u-tokyo.ac.jp/DCP/

    • Related Report
      2013 Annual Research Report
  • [Remarks] DCP (Discrete Convex Paradigm)

    • URL

      http://www.misojiro.t.u-tokyo.ac.jp/DCP/

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www.misojiro.t.u-tokyo.ac.jp/DCP/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.misojiro.t.u-tokyo.ac.jp/DCP/

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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