Emerson G. Escolar

Here is a complete list of publications and talks given.

ORCID page

Yet another database: my research map page .

Please report broken links!

Preprints

  1. Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada. "Bipath Persistence". arXiv preprint https://arxiv.org/abs/2404.02536
  2. Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada. "Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions". arXiv preprint https://arxiv.org/abs/2308.14979
  3. Mickaël Buchet, Emerson G. Escolar. "The Whole in the Parts: Putting nD Persistence Modules Inside Indecomposable (n+1)D Ones". arXiv preprint https://arxiv.org/abs/2012.02467

Research Papers

  1. Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "On Approximation of 2D Persistence Modules by Interval-decomposables" Journal of Computational Algebra, Volumes 6–7, September 2023, 100007
    (arXiv version https://arxiv.org/abs/1911.01637)
  2. Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami, and Yasin Ozcan. "Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics" Research Policy Volume 52, Issue 8, October 2023, 104821
    (arXiv version https://arxiv.org/abs/1909.00257)
  3. Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "Approximation by interval-decomposables and interval resolutions of persistence modules", Journal of Pure and Applied Algebra, Volume 227, Issue 10, October 2023, 107397
    (arXiv version https://arxiv.org/abs/2207.03663)
  4. Yusuke Imoto, Tomonori Nakamura, Emerson G Escolar, Michio Yoshiwaki, Yoji Kojima, Yukihiro Yabuta, Yoshitaka Katou, Takuya Yamamoto, Yasuaki Hiraoka, Mitinori Saitou. "Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis" Life Science Alliance Aug 2022, 5 (12) e202201591; DOI: 10.26508/lsa.202201591
    (bioRxiv preprint https://doi.org/10.1101/2022.05.02.490246)
  5. Mickaël Buchet, Emerson G. Escolar. "Realizations of indecomposable persistence modules of arbitrarily large dimensions", Journal of Computational Geometry, Vol 13 No 1 (2022)
    Conference proceedings version:
    Mickaël Buchet, Emerson G. Escolar. "Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension", 34th International Symposium on Computational Geometry (SoCG 2018), Leibniz International Proceedings in Informatics (LIPIcs), 15:1-15:13.
    (arXiv version here)
  6. Hideto Asashiba, Mickaël Buchet, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "On Interval Decomposability of 2D Persistence Modules". Computational Geometry, SI: Algorithmic Aspects of Computational and Applied Topology, Volumes 105–106, August–October 2022, 101879 https://doi.org/10.1016/j.comgeo.2022.101879
    (Also available here. arXiv version here.)
  7. Emerson G. Escolar, Killian Meehan, and Michio Yoshiwaki. "Interleavings and Matchings as Representations". Applicable Algebra in Engineering, Communication and Computing (2021). https://doi.org/10.1007/s00200-021-00530-7
    (Also available here. arXiv version here.)
  8. Mickaël Buchet, Emerson G. Escolar "Every 1D persistence module is a restriction of some indecomposable 2D persistence module". J Appl. and Comput. Topology. Volume 4, pages 387-424 (2020). https://doi.org/10.1007/s41468-020-00053-z
    arXiv version
  9. Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka, Hiroshi Takeuchi. "Matrix Method for Persistence Modules on Commutative Ladders of Finite Type". Japan J. Indust. Appl. Math. Volume 36, Issue 1, pp 97–130 (2019). https://doi.org/10.1007/s13160-018-0331-y
    (Also available here. arXiv version here.)
  10. Emerson G. Escolar, Yasuaki Hiraoka. "Persistence modules on commutative ladders of finite type". Discrete Comput. Geom. 55 (2016), 100-157.
  11. Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata, Emerson G. Escolar, Kaname Matsue, Yasumasa Nishiura. "Hierarchical structures of amorphous solids characterized by persistent homology". Proceedings of the National Academy of Sciences vol. 113 no. 26, 7035-7040.
  12. Emerson G. Escolar, Yasuaki Hiraoka. "Persistence of Common Topological Structures by Commutative Triple Ladder Quiver". In: Nishiura Y., Kotani M. (eds) Mathematical Challenges in a New Phase of Materials Science. Springer Proceedings in Mathematics & Statistics, vol 166. (2016) Springer, Tokyo
  13. Emerson G. Escolar, Yasuaki Hiraoka. "Optimal Cycles for Persistent Homology Via Linear Programming". In: Optimization in the Real World, pp 79-96. Springer Japan, 2016.
  14. Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata, Emerson G. Escolar, Yasumasa Nishiura. "Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass". Nanotechnology 26 (2015) 304001.
  15. Emerson G. Escolar, Yasuaki Hiraoka. "Computing Optimal Cycles of Homology Groups". In: A Mathematical Approach to Research Problems of Science and Technology - Theoretical Basis and Developments in Mathematical Modeling, pp 101-118, Springer, 2014.
  16. Emerson G. Escolar, Yasuaki Hiraoka. "Computing Persistence Modules on Commutative Ladders of Finite Type". Lecture Notes in Computer Science, 8592:144-151, 2014.
  17. Emerson G. Escolar, Yasuaki Hiraoka. "Morse Reduction for Zigzag Complexes". Journal of the Indonesian Mathematical Society, 20:47-75, 2014.

Articles

  1. パーシステントホモロジーと表現論 (Persistent homology and representation theory) 数理科学 2023年6月号 No.720 トポロジカルデータ解析の拡がり データの「かたち」を捉える

Talks

  1. Computing bipath persistent homology 日本数学会2024年度年会, 大阪公立大学, 18 Mar 2024
  2. Computing bipath persistent homology 日本応用数理学会 第20回 研究部会連合発表会, 長岡技術科学大学, 4 Mar 2024
  3. データの「穴」に着目:パーシステントホモロジーについて Kobe Studio Seminar for Studies ワークショップ: 数学,計算機,そしてデータサイエンス, 神戸大学, 1 Feb 2024
  4. 料理空間の位相的データ解析 ~ 新しい料理の提案への応用 ~ 日本数学会応用数学分科会 2023年度応用数学合同研究集会, 龍谷大学, 15 Dec 2023
  5. On interval covers and resolutions of persistence modules Magnitude 2023, Osaka University, 5 Dec 2023
  6. A Topological Analysis of the Space of Recipes 日本数学会 2023年度秋季総合分科会, 東北大学, 22 Sep 2023
  7. Approximation by interval-decomposables and interval resolutions of 2D persistence modules TDA Week 2023, Clock Tower Centennial Hall, Kyoto University, 3 Aug 2023
  8. On Interval Resolutions of Persistence Modules SIAM Conference on Applied Algebraic Geometry (AG23) Minisymposium Recent Developments in Multi-Parameter Persistence, Eindhoven University of Technology, 11 July 2023
  9. Introduction to Topological Data Analysis Kobe Studio Seminar for Studies from Trials 26 May 2023
  10. パーシステントホモロジーと表現論 Meets Series 第1回 Topology Meets Data ⼀橋講堂, 10 Jan 2023
  11. Multiparameter persistent homology and interval approximations General Topology Symposium 2022 7 Dec 2022
  12. Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics ICMMA 2022 International Conference on Topology and its Applications to Engineering and Life Science 29 Nov 2022
  13. 位相的データ解析の紹介とマルチパラメータパーシステンスの区間分解に関する研究 [Introduction to Topological Data Analysis and Research on Interval Resolutions of Multiparameter Persistence] 機械学習への組合せ論的アプローチ [Combinatorial Approach to Machine Learning] (非公開部 Non-open talk) 九州⼤学 IMI 共同利⽤・短期共同研究, 22 Sep 2022
  14. Approximation by interval-decomposables and interval resolutions of persistence modules The 54th Symposium on Ring Theory and Representation Theory, Saitama University, Saitama 6 Sep 2022
  15. Interleavings and Matchings as Representations 日本応用数理学会 第18回 研究部会連合発表会 9 Mar 2022
  16. Interval Decomposability/Approximation of Persistence Modules, and their Computation TDA Week 16 Feb 2022
  17. Interval Decomposability/Approximation of Persistence Modules, and their Computation Asia Pacific Seminar on Applied Topology and Geometry 21 Jan 2022
  18. The Shape of Data: An Introduction to Topological Data Analysis GSC ROOT Program Summary Session, 9 Jan 2022
  19. Introduction to Topological Data Analysis Ateneo de Manila University, School of Science & Engineering, Department of Mathematics, Mathematics Research Seminar Series 8 Oct 2021
  20. パーシステンス加群の区間分解可能性、区間近似、及びその計算[Interval Decomposability/Approximation of Persistence Modules, and their Computation] 位相的データ解析の理論と応用[Topics on Topological Data Analysis] 4-6 Aug 2021
  21. "Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics" ILJU POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning 9 Jul 2021
  22. "The Whole in the Parts: Putting nD Persistence Modules Inside Indecomposable (n+1)D Ones", 日本応用数理学会 2021年 研究部会連合発表会 (JSIAM Activity Groups Joint Presentation 2021), 4 Mar 2021
  23. "Introduction to Topological Data Analysis: Ideas and Applications", department colloquium talk (2021 in-house training program) at the Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio (online), 15 Jan 2021
  24. "Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics", [2nd AIP Open Seminar] Talks by Topological Data Analysis Team, 18 Nov 2020
  25. "Mapperを用いた企業の技術戦略の位相的データ解析", 日本応用数学会2020年度年会, 正会員主催OS:位相的データ解析 ( JSIAM Annual Meeting 2020, JSIAM members organized session: Topological Data Analysis). 9 Sep 2020
  26. "Mapperを用いた企業の技術戦略の位相的データ解析", TDA for Applications - Tutorial & Workshop. 19 Jun 2020
  27. "Mapping firms’ locations in technological space: a topological analysis of patent statistics", Kyoto University Applied Mathematics Seminar. 26 May 2020
  28. Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan, "Mapping firms’ locations in technological space: A topological analysis of patent statistics", 日本数学会 2020年度年会 (会は中止だが、発表は成立。また、2020年度秋季総合分科会で講演する予定) 18 Mar 2020
  29. Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan, "企業の技術戦略の位相的データ解析", 2019年度応用数学合同研究集会, 12 Dec 2019, 龍谷大学.
  30. "Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module", ICIAM 2019 Thematic Minisymposium: "Geometry and Topology in Data Analysis", Valencia, Spain, 16 July 2019
  31. "Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module", Workshop "Computational Applications of Quiver Representations: TDA and QPA", Bielefeld University, 3 May 2019
  32. "Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module" (in Japanese), MSJ Spring Meeting 2019 at Tokyo Institute of Technology, 17 Mar 2019.
  33. "Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module", Workshop on Applied Topology 2019, Kyoto, 7-11 January 2019
  34. "Realization of Indecomposable Persistence Modules of Large Dimension", Applied Geometry & Topology 2018, Kyoto, 24-25 July, 2018.
  35. "Computing Indecomposable Decompositions of Persistence Modules", guest lecture at Institute of Geometry, TU Graz, 21 June 2018.
  36. "Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension", 34th International Symposium on Computational Geometry (SoCG 2018), Budapest, 11-14 June 2018.
  37. "Vietoris-Rips Realization of Indecomposable Persistence Modules of Arbitrarily Large Dimension", MSJ Spring Meeting 2018, The University of Tokyo, 18-21 March 2018.
  38. "Representation Theory and Persistent Homology in TDA", RIKEN-AIP Math Group Joint Seminar, Izuyama Kensyuu Center, 12-13 March 2018.
  39. "Vietoris-Rips Realization of Indecomposable Persistence Modules of Arbitrarily Large Dimension" 2017年度応用数学合同研究集会, 龍谷大学瀬田キャンパス, 14-16 December 2017.
  40. "Vietoris-Rips Realization of Indecomposable Persistence Modules of Large Dimension" Applied Algebraic Topology 2017. Hokkaido University, Sapporo, Japan, 8-12 Aug 2017.
  41. "An Introduction to Quiver Representation Theory for Topological Data Analysis", A3 foresight workshop: Modeling and Simulation of Hierarchical and Heterogeneous Flow Systems with Applications to Materials Science III. Tohoku Forum for Creativity, Tohoku University, 14-16 Nov 2016.
  42. "Persistence of Common Topological Features via Commutative Ladder Quivers", EASIAM 2016. University of Macau, Macau, China, 20-22 Jun 2016.
  43. "Introduction to representation theory for topological data analysis", A3 foresight winter school on Mathematics on Materials Science: Topological Data Analysis and Dynamics. AIMR, Tohoku University, 16 Feb 2016.
  44. "Matrix Method for Persistence Modules on Commutative Ladders of Finite Type", Minisymposium on Topological Data Analysis and Dynamics, 8th International Congress on Industrial and Applied Mathematics. Beijing, China, 10-14 Aug 2015.
  45. Morse Reduction for Persistence Modules on Commutative Ladders of Finite Type, 2014 年度応用数学合 同研究集会, Dec. 18 – 20, 2014, 龍谷大学.
  46. "Computing Persistence Modules of Quiver Complexes", Short presentation (student session), Mathematics of Fluid Dynamics and Material Science, 1st Joint Conference of A3 Foresight Program. International Convention Center Jeju, Korea, 21-23 Nov 2014.
  47. "Optimal Cycles in Homology via Linear Programming", IMI Workshop on Optimization in the Real World. Kyushu University, Fukuoka, Japan, 14-15 Oct 2014.
  48. "Computing Persistence Modules on Commutative Ladders of Finite Type", MSJ Autumn Meeting 2014, Hiroshima University, 25-28 Sept 2014.
  49. "Computing Persistence Modules on Commutative Ladder Quivers of Finite Type", The 4th International Congress on Mathematical Software. Session: Software for Computational Topology. Hanyang University, Seoul, Korea, 5-9 Aug 2014.
  50. "Computing Persistence Modules on Commutative Ladder Quivers of Finite Type", Workshop on Topological Data Analysis. Department of Mathematics. Kyoto University, 6-7 Jun 2014.
  51. "Optimal Cycles of Homology Groups", Intersection of Pure Mathematics and Applied Mathematics IV. Kyushu University, Fukuoka, Japan, 18 Feb 2014.
  52. "Morse Reduction for Zigzag Complexes", AKOOS-PNU International Conference 2014. Busan National University, Busan, South Korea, 5-7 Feb 2014
  53. "Morse Reduction for Zigzag Complexes", EASIAM-CIAM 2013. Institut Teknologi Bandung, Bandung, West Java, Indonesia, 18-20 Jun 2013.

Workshops/Seminars Organized

  1. パーシステントホモロジーと表現論2024 (Persistent Homology and Representation Theory 2024) Online, Feb 22, 2024
  2. TDA Week 2023, Clock Tower Centennial Hall, Kyoto University, 31 July - 4 Aug 2023
  3. パーシステントホモロジーと表現論 (Persistent Homology and Representation Theory) Online, Feb 15-16, 2023
  4. AATRN Poster Session, Joint with APATG, Online (Gather.Town), September 20th, 2022
  5. TDA Week 2022 Online, Feb 14-18, 2022
  6. Asia Pacific Seminar on Applied Topology and Geometry, Online, twice a month starting August 2020.
  7. 第4回JST数学領域未解決問題ワークショップ (4th JST Math Open Problems Workshop), Online, September 19-21, 2020
  8. Workshop on Applied Topology 2019, Maskawa Building for Education and Research, Kyoto University, Japan, January 7-11, 2019
  9. 6th Annual Minisymposium on Computational Topology. Part of Computational Geometry Week (CG Week 2017) Brisbane, July 4-7, 2017

Tutorials

  1. Mapper Tutorial ILJU POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning 9 Jul 2021
  2. Mapperの基礎と応用例の紹介(理論セッション), Mapperでデータの「形」を見ましょう!(計算セッション) Topological Data Analysis Tutorial. RIKEN AIP Nihonbashi office, 28-29 Nov 2019.
  3. TDA「Mapper」入門:データの「形」を見よう, 「数理科学 + 水と光」講演会 ( Shinshu Center for Mathematical Sciences Colloquium), Shinshu University, 1 Nov 2019.
  4. TDA「Mapper」入門:データの「形」を見よう, 京都大学 学術情報メディアセンター南館203号室, 2019年9月11日

Poster Presentations

  1. T. Nakamura, I. Okamoto, M. Yoshiwaki, E.G. Escolar, Y. Imoto, Y. Hiraoka, and M. Saitou (Presenter: T. Nakamura). "Topological clustering of scRNA-seq data during cynomolgus monkey peri-implantation development". (Poster Session) Germ Cell Programming in Vertebrate Biology, Medicine and Biotechnology. 19-24 May 2019
  2. "Vietoris-Rips Realization of Indecomposable Persistence Modules of Large Dimension" Applied Algebraic Topology 2017. Hokkaido University, Sapporo, Japan, 8-12 Aug 2017.
  3. Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka, and Hiroshi Takeuchi, "Matrix Method for Persistence Modules on Commutative Ladders of Finite Type". The AIMR International Symposium 2017. Sendai International Center, Tohoku, Japan, 13-17 Feb 2017.
  4. "Topological Data Analysis: Shape of Data". 情報系 Winter Festa Episode 2. Hitotsubashi Hall, Tokyo, Japan. 22-23 Dec 2016.
  5. "Matrix Method for Persistence Modules on Commutative Ladders of Finite Type". Algebraic Topology: Computation, Methods, and Science 7th Edition. Turin, Italy, 25-29 July 2016.
  6. Emerson Escolar, Yasuaki Hiraoka, "Morse Reduction for Zigzag Complexes". Forum "Math-for-Industry" 2013 -The Impact of Applications on Mathematics-. November 4 to 8, 2013, Fukuoka
  7. Emerson Escolar, Yasuaki Hiraoka, "Morse Reduction for Zigzag Complexes". 日本応用数理学会2013年度年会 (JSIAM 2013). アクロス福岡 (福岡市中央区天神1-1-1). 2013年9月9日(月)~9月11日(水)