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FIGUEIRA LOURENCO BRUNO  ロウレンソ ブルノ・フィゲラ

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Lourenco Bruno F.  ロウレンソ ブルノ・フィゲラ

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Researcher Number 80778720
Other IDs
Affiliation (Current) 2025: 統計数理研究所, 統計基盤数理研究系, 准教授
Affiliation (based on the past Project Information) *help 2023: 統計数理研究所, 統計基盤数理研究系, 准教授
2020 – 2023: 統計数理研究所, 数理・推論研究系, 准教授
2018 – 2019: 東京大学, 大学院情報理工学系研究科, 助教
2017 – 2018: 成蹊大学, 理工学部, 助教
Review Section/Research Field
Principal Investigator
Basic Section 60020:Mathematical informatics-related
Except Principal Investigator
Basic Section 60020:Mathematical informatics-related / Social systems engineering/Safety system
Keywords
Principal Investigator
p-cones / error bounds / conic optimization / convex analysis / continuous optimization / power cones / convex cones / log determinant cones / 射影縮尺法 / 悪条件問題 … More / 錐線形計画問題 / 面縮小法 / 恭順錐 / 錐最適化 / 連続最適化 / automorphism group / self-duality / hyperbolicity cones / nonsymmetric cones / facial residual function / facial reduction / exponential cone / amenable cones … More
Except Principal Investigator
半正定値計画法 / 半正定値計画問題 / 悪条件問題 / 悪条件 / 双対ギャップ / 共役勾配法 / グラフィカルモデル / 線形計画法 / 凸最適化 / モデリング / 2次錐計画問題 / 線形計画問題 / 情報幾何 / 確率密度推定 / 摂動解析 / 半正値計画 / 最適化 / 摂動 / 双対理論 / 数理モデル / 新型コロナウイルス感染症 / 2次錐計画問題 / 恭順錐 / 強双対性 / 非正則問題 / 大規模問題 / 密度推定法 / 内点法 / 双対定理 / 低ランクスパース最適化 / 確率的DCアルゴリズム / ペナルティ法 / ホモトピー法 / 2段階最適化問題 / ランダム行列理論 / 錐最適化問題 / 確率最適化 / 大域収束性 / 最悪反復計算量 / DC最適化 / 機械学習 / 非凸非平滑最適化 / 行列エントロピー / 2次錐計画法 / 対称錐計画法 / Chubanov / 悪条件性 / 面縮小法 Less
  • Research Projects

    (6 results)
  • Research Products

    (45 results)
  • Co-Researchers

    (11 People)
  •  Towards new classes of conic optimization problemsPrincipal Investigator

    • Principal Investigator
      ロウレンソ ブルノ・フィゲラ
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 60020:Mathematical informatics-related
    • Research Institution
      The Institute of Statistical Mathematics
  •  Development of Optimization Mathematical Modeling

    • Principal Investigator
      土谷 隆
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 60020:Mathematical informatics-related
    • Research Institution
      National Graduate Institute for Policy Studies
  •  Solving ill-posed conic optimization problemsPrincipal Investigator

    • Principal Investigator
      Lourenco Bruno F.
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 60020:Mathematical informatics-related
    • Research Institution
      The Institute of Statistical Mathematics
      The University of Tokyo
  •  Developing efficient algorithms for nonconvex non smooth optimization and its application to machine learning

    • Principal Investigator
      Takeda Akiko
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 60020:Mathematical informatics-related
    • Research Institution
      The University of Tokyo
  •  Challenge to Intractable Semidefinite and Second-order Cone Programs

    • Principal Investigator
      Takashi Tsuchiya
    • Project Period (FY)
      2018 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 60020:Mathematical informatics-related
    • Research Institution
      National Graduate Institute for Policy Studies
  •  Exploration of Conic Linear Programs and Development of Mathematical Modeling

    • Principal Investigator
      Tsuchiya Takashi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Social systems engineering/Safety system
    • Research Institution
      National Graduate Institute for Policy Studies

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

  • [Journal Article] Generalized Power Cones: Optimal Error Bounds and Automorphisms2024

    • Author(s)
      Lin Ying、Lindstrom Scott B.、Lourenco Bruno F.、Pong Ting Kei
    • Journal Title

      SIAM Journal on Optimization

      Volume: 34 Issue: 2 Pages: 1316-1340

    • DOI

      10.1137/22m1542921

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K16844, KAKENHI-PROJECT-19K20217
  • [Journal Article] Optimal Error Bounds in the Absence of Constraint Qualifications with Applications to p-Cones and Beyond2024

    • Author(s)
      Lindstrom Scott B.、Lourenco Bruno F.、Pong Ting Kei
    • Journal Title

      Mathematics of Operations Research

      Volume: - Issue: 2 Pages: 1204-1232

    • DOI

      10.1287/moor.2022.0135

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K16844, KAKENHI-PROJECT-19K20217
  • [Journal Article] Self-dual polyhedral cones and their slack matrices2023

    • Author(s)
      Gouveia Joao、Lourenco Bruno F.
    • Journal Title

      SIAM Journal on Matrix Analysis (accepted)

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] Hyperbolicity cones are amenable2023

    • Author(s)
      Lourenco Bruno F.、Roshchina Vera、Saunderson James
    • Journal Title

      Mathematical Programming

      Volume: - Issue: 1-2 Pages: 753-764

    • DOI

      10.1007/s10107-023-01958-0

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations2023

    • Author(s)
      Ito Masaru、Lourenco Bruno F.
    • Journal Title

      SIAM Journal on Applied Algebra and Geometry

      Volume: 7 Issue: 1 Pages: 236-263

    • DOI

      10.1137/22m1513964

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-21K17711
  • [Journal Article] Random projections of linear and semidefinite problems with linear inequalities2023

    • Author(s)
      Poirion Pierre-Louis、Lourenco Bruno F.、Takeda Akiko
    • Journal Title

      Linear Algebra and its Applications

      Volume: 664 Pages: 24-60

    • DOI

      10.1016/j.laa.2023.01.013

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-19H04069, KAKENHI-PROJECT-23K28041
  • [Journal Article] Convergence Analysis under Consistent Error Bounds2022

    • Author(s)
      Liu Tianxiang、Lourenco Bruno F.
    • Journal Title

      Foundations of Computational Mathematics

      Volume: - Issue: 2 Pages: 429-479

    • DOI

      10.1007/s10208-022-09586-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] Error bounds, facial residual functions and applications to the exponential cone2022

    • Author(s)
      Lindstrom Scott B.、Lourenco Bruno F.、Pong Ting Kei
    • Journal Title

      Mathematical Programming

      Volume: - Issue: 1 Pages: 229-278

    • DOI

      10.1007/s10107-022-01883-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms2022

    • Author(s)
      Tsuchiya Takashi、Lourenco Bruno F.、Muramatsu Masakazu、Okuno Takayuki
    • Journal Title

      Mathematical Programming

      Volume: - Issue: 1 Pages: 531-568

    • DOI

      10.1007/s10107-022-01891-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-20K19748, KAKENHI-PROJECT-21H03398, KAKENHI-PROJECT-22H00510, KAKENHI-PROJECT-20H04145
  • [Journal Article] A simplified treatment of Ramana’s exact dual for semidefinite programming2022

    • Author(s)
      Lourenco Bruno F.、Pataki Gabor
    • Journal Title

      Optimization Letters

      Volume: 17 Issue: 2 Pages: 219-243

    • DOI

      10.1007/s11590-022-01898-2

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] Amenable Cones Are Particularly Nice2022

    • Author(s)
      Lourenco Bruno F.、Roshchina Vera、Saunderson James
    • Journal Title

      SIAM Journal on Optimization

      Volume: 32 Issue: 3 Pages: 2347-2375

    • DOI

      10.1137/20m138466x

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Journal Article] Solving SDP completely with an interior point oracle2021

    • Author(s)
      Lourenco Bruno F.、Muramatsu Masakazu、Tsuchiya Takashi
    • Journal Title

      Optimization Methods and Software

      Volume: 36 Issue: 2-3 Pages: 425-471

    • DOI

      10.1080/10556788.2020.1850720

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-18H03206, KAKENHI-PROJECT-20H04145
  • [Journal Article] Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras2020

    • Author(s)
      Lourenco Bruno F.、Takeda Akiko
    • Journal Title

      SIAM Journal on Optimization

      Volume: 30 Issue: 4 Pages: 3387-3414

    • DOI

      10.1137/19m1245001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-19H04069
  • [Journal Article] Amenable cones: error bounds without constraint qualifications2019

    • Author(s)
      Bruno F. Lourenco
    • Journal Title

      Mathematical Programming

      Volume: 出版予定 Issue: 1-2 Pages: 1-48

    • DOI

      10.1007/s10107-019-01439-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217, KAKENHI-PROJECT-18H03206
  • [Journal Article] Facial Reduction and Partial Polyhedrality2018

    • Author(s)
      Lourenco Bruno F.、Muramatsu Masakazu、Tsuchiya Takashi
    • Journal Title

      SIAM Journal on Optimization

      Volume: 28 Issue: 3 Pages: 2304-2326

    • DOI

      10.1137/15m1051634

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K00031, KAKENHI-PROJECT-15H02968
  • [Journal Article] An extension of Chubanov’s algorithm to symmetric cones2017

    • Author(s)
      ブルノ・フィゲラ・ロウレンソ、北原知就、村松正和、土谷隆
    • Journal Title

      Mathematical Programming

      Volume: 印刷中 Issue: 1-2 Pages: 117-149

    • DOI

      10.1007/s10107-017-1207-7

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K15941, KAKENHI-PROJECT-15H02968, KAKENHI-PROJECT-17K00031
  • [Presentation] Facial Residual Functions, Error Bounds and Applications2023

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      SIAM Conference on Optimization (OP23)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K16844
  • [Presentation] Error bounds based on facial residual functions2023

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      ICIAM
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K16844
  • [Presentation] Facial Residual Functions, Error Bounds and Applications2023

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      SIAM Conference on Optimization (OP23)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Error bounds based on facial residual functions2023

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      ICIAM
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Koans of Cones: self-dual polyhedra2022

    • Author(s)
      Lourenco Bruno F.
    • Organizer
      Matrix workshop on Convexity, Geometry and Computation
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 凸錐の幾何学の最近の結果2022

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      モデリングを通して見えた世界
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 自己双対多面錐のスラック行列について2022

    • Author(s)
      Lourenco Bruno F.
    • Organizer
      数理最適化:モデル,理論,アルゴリズ
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 双曲錐の自己同型群について2022

    • Author(s)
      Lourenco Bruno F.
    • Organizer
      最適化:モデリングとアルゴリズム
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Error bounds and facial residual functions for conic linear programs2022

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      One World Optimization Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 凸錐の露出性について2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      数理最適化の理論・アルゴリズム・応用
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] On consistent error bounds and convergence rates2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      WOMBAT 2021
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] On error bounds for conic linear programs2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      INFORMS 2021
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Error bounds in conic optimization2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      日本オペレーションズ・リサーチ学会-RAMP
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Consistent error bounds and convergence rates2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      IFORS 2021
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Error bounds for conic problems and an application to the exponential cone2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      SIAM Conference on Optimization 2021
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Completely solving general SDPs2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      Workshop on Continuous Optimization and Related Topics
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Consistent Error Bounds And Convergence Rates In Convex Feasibility Problems2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      20th Biennial Computational Techniques and Applications Conference
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 双曲錐の露出性について2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      日本オペレーションズ・リサーチ学会 2021年秋季研究発表会
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Spectral functions and an apology of Jordan Algebras2021

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      WoMBat
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Amenable cones and error bounds2019

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      6th ICCOPT - Berlin
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Amenable cones and error bounds2019

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      Workshop on Geometry and Optimisation - UNSW
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] On amenable cones and error bounds2019

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      RICAM Special Semester on Optimization - Workshop 6 - Conic and Copositive Optimization
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] Amenable cones and error bounds2019

    • Author(s)
      Bruno F. Lourenco
    • Organizer
      NACA-ICOTA2019 - Hakodate
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K20217
  • [Presentation] 半正定値計画問題の双対定理再訪 ―主問題・双対問題共に内点実行可能解を持たない半正定値計画問題には「ほとんど確実に」非ゼロ双対ギャップが存在する―2018

    • Author(s)
      ロウレンソ フィゲラ ブルノ,村松正和,土谷隆
    • Organizer
      最適化:モデリングとアルゴリズム
    • Data Source
      KAKENHI-PROJECT-15H02968
  • [Presentation] An oracle-based projection and rescaling algorithm for linear semi-infinite programming and its application to semidefinite programming2018

    • Author(s)
      Masakazu Muramatsu, Tomonari Kitahara, Bruno Lourenco, Takayuki Okuno and Takashi Tsuchiya
    • Organizer
      International Symposium on Mathematical Programming
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02968
  • [Presentation] An Extension of Chubanov’s Algorithm to Symmetric Cones2017

    • Author(s)
      Bruno F. Lourenco, Tomonari Kitahara, Masakazu Muramatsu and Takashi Tsuchiya
    • Organizer
      SIAM Conference on Optimiation
    • Data Source
      KAKENHI-PROJECT-15H02968
  • [Presentation] Partial Polyhedrality and Facial Reduction2017

    • Author(s)
      Bruno Figueira Lourenco, Masakazu Muramatsu and Takashi Tsuchiya
    • Organizer
      SIAM Conference on Optimization
    • Data Source
      KAKENHI-PROJECT-15H02968
  • [Presentation] Solving SDP Completely with an Interior-Point Oracle2016

    • Author(s)
      Bruno Figueira Lourenco, Masakazu Muramatsu, Takashi Tsuchiya
    • Organizer
      The 5th International Conference on Continuous Optimization
    • Place of Presentation
      政策研究大学院大学(東京都、港区)
    • Year and Date
      2016-08-09
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02968
  • [Presentation] FRA-Poly: Partial Polyhedrality and Facial Reduction2016

    • Author(s)
      Bruno Figueira Lourenco, Masakazu Muramatsu, Takashi Tsuchiya
    • Organizer
      The 5th International Conference on Continuous Optimization
    • Place of Presentation
      政策研究大学院大学(東京都、港区)
    • Year and Date
      2016-08-08
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02968
  • 1.  Tsuchiya Takashi (00188575)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 6 results
  • 2.  北原 知就 (10551260)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 3 results
  • 3.  上野 玄太 (40370093)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  小原 敦美 (90221168)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  Takeda Akiko (80361799)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  速水 謙 (20251358)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  Liu Tianxiang (90835216)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  Metel MichaelRos (40839081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  中田 真秀 (50469912)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  荒川 俊也 (50631248)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  村松 正和
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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