Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻, 教授

Academic Degree

• 修士（工学）(大阪大学)
• 博士（理学）(大阪大学)

Research History

• From Apr. 2018, To Present

  Kyoto University, Kyoto University Institute for Advanced Study, Professor
• From Jul. 2016, To Mar. 2018

  Tohoku University, Advanced Institute for Materials Research (AIMR), Professor
• From Apr. 2015, To Jun. 2016

  Tohoku University, Advanced Institute for Materials Research (AIMR), Associate Professor
• From Apr. 2011, To Mar. 2015

  Kyushu University, Institute of Mathematics for Industry, Associate Professor
• From Mar. 2011, To Mar. 2011

  Kyushu University, Faculty of Mathematics, Associate Professor
• From Apr. 2009, To Feb. 2011

  Hiroshima University, Department of Mathematical and Life Sciences,Graduate School of Science, Associate Professor
• From Apr. 2006, To Mar. 2009

  Hiroshima University, Department of Mathematical and Life Sciences, Graduate School of Science, Assistant Professor
• From Mar. 2006, To Mar. 2009

  Hiroshima University, 総合科学部, Assistant Professor
• From Apr. 2005, To Feb. 2006

  Hokkaido University, Research Institute for Electronic Science, PD

Language of Instruction

• Japanese

ID,URL

• ORCID ID

  0000-0002-1023-2687

• J-Global ID

  201601013000530377

• External link

  https://sites.google.com/site/yasuakihiraoka/

researchmap URL

• https://researchmap.jp/7000018555

Research

Research Topics, Overview of the research

• Research Topics

  Topological data analysis, applied mathematics

• Overview of the research

  Topological data analysis (TDA) is an emerging concept of data analysis for characterizing shape of data. In particular, it provides a tool called the persistent homology that extracts multiscale topological features embedded in data. I am studying theory and algorithm on persistent homology based on representation theory, probability theory, machine learnings, and inverse problems. I also apply TDA into scientific and engineering problems such as materials science, life and medical science, and economics.

Research Interests

• Dynamical Systems
• Topological Data Analysis
• Applied Topology

Research Areas

• Natural sciences, Applied mathematics and statistics, 応用トポロジー
• Natural sciences, Basic mathematics, 応用トポロジー

Papers

• Curse of dimensionality on persistence diagrams

  Yasuaki Hiraoka; Yusuke Imoto; Shu Kanazawa; Enhao Liu

  Foundations of Data Science, 2025, Peer-reviewed

  
• Single-cell multiomic analysis revealed the differentiation, localization, and heterogeneity of IL10+ Foxp3– follicular T cells in humans

  Shusei Fujioka; Mayu Fujioka; Yusuke Imoto; Yasuyo Harada; Hiroyuki Yoshitomi; Masato Kubo; Yasuaki Hiraoka; Hideki Ueno

  International Immunology, 21 Mar. 2025, Peer-reviewed

  
• Linking structure and process in dendritic growth using persistent homology with energy analysis

  Misato Tone; Shunsuke Sato; Sotaro Kunii; Ippei Obayashi; Yasuaki Hiraoka; Yui Ogawa; Hirokazu Fukidome; Alexandre Lira Foggiatto; Chiharu Mitsumata; Ryunsuke Nagaoka; Arpita Varadwaj; Iwao Matsuda; Masato Kotsugi

  Science and Technology of Advanced Materials: Methods, 07 Mar. 2025

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• The balance between IFN-γ and ERK/MAPK signaling activities ensures lifelong maintenance of intestinal stem cells

  May Nakajima-Koyama; Mio Kabata; Joonseong Lee; Yuko Sogabe; Satoko Sakurai; Akira Hirota; Mizuki Kimura; Tomonori Nakamura; Yusuke Imoto; Kohei Kometani; Yoko Hamazaki; Yasuaki Hiraoka; Mitinori Saitou; Eisuke Nishida; Takuya Yamamoto

  Cell Reports, Feb. 2025

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• scEGOT: single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport

  Toshiaki Yachimura; Hanbo Wang; Yusuke Imoto; Momoko Yoshida; Sohei Tasaki; Yoji Kojima; Yukihiro Yabuta; Mitinori Saitou; Yasuaki Hiraoka

  BMC Bioinformatics, 23 Dec. 2024, Peer-reviewed

  
• Quantification of the Coercivity Factor in Soft Magnetic Materials at Different Frequencies Using Topological Data Analysis

  Ryunosuke Nagaoka; Ken Masuzawa; Michiki Taniwaki; Alexandre Lira Foggiatto; Takahiro Yamazaki; Ippei Obayashi; Yasuaki Hiraoka; Chiharu Mitsumata; Masato Kotsugi

  IEEE Transactions on Magnetics, Sep. 2024, Peer-reviewed

  
• Analysis of the Excess Loss in High-Frequency Magnetization Process Through Machine Learning and Topological Data Analysis

  Alexandre Lira Foggiatto; Ryunosuke Nagaoka; Michiki Taniwaki; Takahiro Yamazaki; Takeshi Ogasawara; Ippei Obayashi; Yasuaki Hiraoka; Chiharu Mitsumata; Masato Kotsugi

  IEEE Transactions on Magnetics, Sep. 2024, Peer-reviewed

  
• Topological Node2vec: Enhanced Graph Embedding via Persistent Homology

  Yasuaki Hiraoka; Yusuke Imoto; Theo Lacombe; Killian Meehan; Toshiaki Yachimura

  Journal of Machine Learning Research, Apr. 2024, Peer-reviewed

  
• Analysis of Magnetization Reversal Process of Non-Oriented Electromagnetic Steel Sheet by Extended Landau Free Energy Model

  Taniwaki, Michiki; Alexandre, Foggiatto Lira; Mitsumata, Chiharu; Yamazaki, Takahiro; Obayashi, Ippei; Hiraoka, Yasuaki; Igarashi, Yasuhiko; Mizutori, Yuta; Hossein; Sepehri Amin; Ohkubo, Tadakatsu; Kotsugi, Masato

  IEEE, Sep. 2023, Peer-reviewed

  
• Large deviation principle for persistence diagrams of random cubical filtrations

  Shu Kanazawa; Yasuaki Hiraoka; Jun Miyanaga; Kenkichi Tsunoda

  Journal of Applied and Computational Topology, 25 Jan. 2024

  
• Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures

  Yasuaki Hiraoka; Tomoyuki Shirai

  J Appl. and Comput. Topology, 2024, Peer-reviewed

  
• Atomic and Electronic Structure in MgO–SiO₂

  Yuta Shuseki; Shinji Kohara; Tomoaki Kaneko; Keitaro Sodeyama; Yohei Onodera; Chihiro Koyama; Atsunobu Masuno; Shunta Sasaki; Shohei Hatano; Motoki Shiga; Ippei Obayashi; Yasuaki Hiraoka; Junpei T. Okada; Akitoshi Mizuno; Yuki Watanabe; Yui Nakata; Koji Ohara; Motohiko Murakami; Matthew G. Tucker; Marshall T. McDonnell; Hirohisa Oda; Takehiko Ishikawa

  The Journal of Physical Chemistry A, 18 Jan. 2024, Peer-reviewed

  
• Mapping firms' locations in technological space: A topological analysis of patent statistics

  Emerson G. Escolar; Yasuaki Hiraoka; Mitsuru Igami; Yasin Ozcan

  RESEARCH POLICY, Oct. 2023, Peer-reviewed

  
• Girth, magnitude homology and phase transition of diagonality

  Yasuhiko Asao; Yasuaki Hiraoka; Shu Kanazawa

  Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 09 Feb. 2023, Peer-reviewed

  
• V-Mapper: topological data analysis for high-dimensional data with velocity

  Yusuke Imoto; Yasuaki Hiraoka

  Nonlinear Theory and Its Applications, IEICE, 2023, Peer-reviewed

  
• Understanding Diffraction from Disordered Materials and the Extraction of Topology Hidden in the Pairwise Correlations by Persistent Homology

  Shinji KOHARA; Osami SAKATA; Yohei ONODERA; Ippei OBAYASHI; Motoki SHIGA; Akihiko HIRATA; Yasuaki HIRAOKA

  Nihon Kessho Gakkaishi, 29 Feb. 2020

  
• Nucleome programming is required for the foundation of totipotency in mammalian germline development

  Masahiro Nagano; Bo Hu; Shihori Yokobayashi; Akitoshi Yamamura; Fumiya Umemura; Mariel Coradin; Hiroshi Ohta; Yukihiro Yabuta; Yukiko Ishikura; Ikuhiro Okamoto; Hiroki Ikeda; Naofumi Kawahira; Yoshiaki Nosaka; Sakura Shimizu; Yoji Kojima; Ken Mizuta; Tomoko Kasahara; Yusuke Imoto; Killian Meehan; Roman Stocsits; Gordana Wutz; Yasuaki Hiraoka; Yasuhiro Murakawa; Takuya Yamamoto; Kikue Tachibana; Jan‐Michel Peters; Leonid A Mirny; Benjamin A Garcia; Jacek Majewski; Mitinori Saitou

  The EMBO Journal, 04 Jul. 2022, Peer-reviewed

  
• Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis

  Yusuke Imoto; Tomonori Nakamura; Emerson G Escolar; Michio Yoshiwaki; Yoji Kojima; Yukihiro Yabuta; Yoshitaka Katou; Takuya Yamamoto; Yasuaki Hiraoka; Mitinori Saitou

  Life Science Alliance, Dec. 2022, Peer-reviewed, Corresponding author

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• Persistent Homology Analysis for Materials Research and Persistent Homology Software: HomCloud

  Ippei Obayashi; Takenobu Nakamura; Yasuaki Hiraoka

  Journal of the Physical Society of Japan, 15 Sep. 2022, Peer-reviewed

  
• Algebraic stability theorem for derived categories of zigzag persistence modules

  Yasuaki Hiraoka; Yuichi Ike; Michio Yoshiwaki

  Journal of Topology and Analysis, 29 Jul. 2022, Peer-reviewed

  
• Flow estimation solely from image data through persistent homology analysis

  Anna Suzuki; Miyuki Miyazawa; James M. Minto; Takeshi Tsuji; Ippei Obayashi; Yasuaki Hiraoka; Takatoshi Ito

  Scientific Reports, Sep. 2021, Peer-reviewed

  
• Structure and properties of densified silica glass: characterizing the order within disorder

  Yohei Onodera; Shinji Kohara; Philip S. Salmon; Akihiko Hirata; Norimasa Nishiyama; Suguru Kitani; Anita Zeidler; Motoki Shiga; Atsunobu Masuno; Hiroyuki Inoue; Shuta Tahara; Annalisa Polidori; Henry E. Fischer; Tatsuya Mori; Seiji Kojima; Hitoshi Kawaji; Alexander I. Kolesnikov; Matthew B. Stone; Matthew G. Tucker; Marshall T. McDonnell; Alex C. Hannon; Yasuaki Hiraoka; Ippei Obayashi; Takenobu Nakamura; Jaakko Akola; Yasuhiro Fujii; Koji Ohara; Takashi Taniguchi; Osami Sakata

  NPG Asia Materials, Dec. 2020, Peer-reviewed

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• Structural changes during glass formation extracted by computational homology with machine learning

  Akihiko Hirata; Tomohide Wada; Ippei Obayashi; Yasuaki Hiraoka

  Communications Materials, Dec. 2020, Peer-reviewed

  
• Inferring fracture forming processes by characterizing fracture network patterns with persistent homology

  A. Suzuki; M. Miyazawa; A. Okamoto; H. Shimizu; I. Obayashi; Y. Hiraoka; T. Tsuji; P.K. Kang; T. Ito

  Computers & Geosciences, Oct. 2020, Peer-reviewed

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• Protein-Folding Analysis Using Features Obtained by Persistent Homology

  Takashi Ichinomiya; Ippei Obayashi; Yasuaki Hiraoka

  Biophysical Journal, Jun. 2020, Peer-reviewed

  
• Very sharp diffraction peak in non-glass forming liquid with the formation of distorted tetraclusters

  C. Koyama; S. Tahara; S. Kohara; Y. Onodera; D. R. Småbråten; S. M. Selbach; J. Akola; T. Ishikawa; A. Masuno; A. Mizuno; J. T. Okada; Y. Watanabe; Y. Nakata; K. Ohara; H. Tamaru; H. Oda; I. Obayashi; Y. Hiraoka; O. Sakata

  NPG Asia Materials, Jun. 2020, Peer-reviewed

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• Zeta functions of periodic cubical lattices and cyclotomic-like polynomials.

  Yasuaki Hiraoka; Hiroyuki Ochiai; Tomoyuki Shirai

  Advanced Studies in Pure Mathematics, Apr. 2020, Peer-reviewed

  
• Percolation on Homology Generators in Codimension One

  Yasuaki Hiraoka; Tatsuya Mikami

  Topological Data Analysis, Abel Symposia, 2020, Peer-reviewed

  
• ガラスの二体相関に隠れたトポロジーの抽出

  小原真司, 小野寺陽平, 大林一平, 志賀元紀, 平田秋彦, 平岡裕章, 坂田修身

  NEW GLASS, 2020, Peer-reviewed

  
• Visualization of Topological Defect in Labyrinth Magnetic Domain by Using Persistent Homology

  T. YAMADA; Y. SUZUKI; C. MITSUMATA; K. ONO; T. UENO; I. OBAYASHI; Y. HIRAOKA; M. KOTSUGI

  Vacuum and Surface Science, Mar. 2019, Peer-reviewed

  
• Persistent Homology and Its Applications to Materials Science

  Yasuaki Hiraoka; Ippei Obayashi

  Materia Japan, Jan. 2019, Peer-reviewed

  
• パーシステントホモロジーを用いた非晶質物質の回折パターンの理解と二体相関に潜んだトポロジーの抽出

  小原真司, 坂田修身, 小野寺陽平, 大林一平, 志賀元紀, 平田秋彦, 平岡裕章.

  日本結晶学会誌, 2019, Peer-reviewed

  
• Origin of the mixed alkali effect in the silicate glass.

  S. Kohara, Y. Onodera, Y. Takimoto, H. Hijiya, T. Taniguchi, S. Urata, S. Inaba, S. Fujita, I. Obayashi, and Y. Hiraoka.

  NPG Asia Materials, 2019, Peer-reviewed

  
• Understanding diffraction patterns of glassy, liquid and amorphous materials via persistent homology analyses

  Y. Onodera, S. Kohara, S. Tahara, A. Masuno, H. Inoue, M. Shiga, A Hirata, K. Tsuchiya, Y. Hiraoka, I. Obayashi, K. Ohara, A. Mizuno, and O. Sakata.

  Journal of the Ceramic Society of Japan., 2019, Peer-reviewed

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• Matrix method for persistence modules on commutative ladders of finite type

  H. Asashiba; E.G. Escolar; Y. Hiraoka; H. Takeuchi

  Japan Journal of Industrial and Applied Mathematics, 2019, Peer-reviewed

  
• Hepatic tumor classification using texture and topology analysis of non-contrast-enhanced three-dimensional T1-weighted MR images with a radiomics approach

  A. Oyama; Y. Hiraoka; I. Obayashi; Y. Saikawa; S. Furui; K. Shiraishi; S. Kumagai; T. Hayashi; J. Kotoku

  Scientific Reports, 2019, Peer-reviewed

  
• パーシステントホモロジーと材料構造解析

  平岡裕章; 大林一平; 赤木和人

  人工知能, 2019, Peer-reviewed

  
• Visualization of Topological Defect in Labyrinth Magnetic Domain by Using Persistent Homology

  YAMADA T.; SUZUKI Y.; MITSUMATA C.; ONO K.; UENO T.; OBAYASHI I.; HIRAOKA Y.; KOTSUGI M.

  Vacuum and Surface Science, 2019, Peer-reviewed

  
• Ultrahigh-pressure form of SiO2 glass with dense pyrite-type crystalline homology

  M. Murakami; S. Kohara; N. Kitamura; J. Akola; H. Inoue; A. Hirata; Y. Hiraoka; Y. Onodera; I. Obayashi; J. Kalikka; N. Hirao; T. Musso; A. S. Foster; Y. Idemoto; O. Sakata; Y. Ohishi

  PHYSICAL REVIEW B, 2019, Peer-reviewed

  
• パーシステントホモロジーの基礎と材料工学への適用例

  平岡裕章; 大林一平

  日本金属学会会報「まてりあ」, 2019, Peer-reviewed, Invited

  
• Limit Theorems for Random Cubical Homology

  Yasuaki Hiraoka; Kenkichi Tsunoda

  DISCRETE & COMPUTATIONAL GEOMETRY, Oct. 2018, Peer-reviewed

  
• Non-Empirical Identification of Trigger Sites in Image Data using Persistent Homology: Crack Formation during Heterogeneous Reduction of Iron-Ore Sinters

  M. Kimura; I. Obayashi; Y. Takeichi; R. Murao; Y. Hiraoka

  Microscopy and Microanalysis, Aug. 2018, Peer-reviewed

  
• Limit theorems for persistence diagrams

  T. K. Duy; Y. Hiraoka; T. Shirai

  Ann. Appl. Probab., 2018, Peer-reviewed

  
• Kernel method for persistence diagrams via kernel embedding and weight factor

  G. Kusano; K. Fukumizu; Y. Hiraoka

  Journal of Machine Learning Research, 2018, Peer-reviewed

  
• Persistence Diagrams with Linear Machine Learning Models

  I. Obayashi; Y. Hiraoka; M. Kimura

  J. Appl. and Comput. Topology, 2018, Peer-reviewed

  
• Non-empirical identification of trigger sites in heterogeneous processes using persistent homology

  M. Kimura; I. Obayashi; Y. Takeichi; R. Murao; Y. Hiraoka

  Scientific Reports, 2018, Peer-reviewed

  
• Persistent homology and materials informatics

  M. Buchet; Y. Hiraoka; I. Obayashi

  Nanoinformatics, 2018

  
• Minimum Spanning Acycle and Lifetime of Persistent Homology in the Linial-Meshulam Process

  Yasuaki Hiraoka; Tomoyuki Shirai

  RANDOM STRUCTURES & ALGORITHMS, Sep. 2017, Peer-reviewed

  
• Granular compaction and the topology of pore deformation

  Mohammad Saadatfar; Hiroshi Takeuchi; Maryam Hanifpour; Vanessa Robins; Nicolas Francois; Yasuaki Hiraoka

  EPJ Web of Conferences, 30 Jun. 2017, Peer-reviewed

  
• Pore configuration landscape of granular crystallization

  M. Saadatfar; H. Takeuchi; V. Robins; N. Francois; Y. Hiraoka

  NATURE COMMUNICATIONS, May 2017, Peer-reviewed

  
• Persistent homology analysis of craze formation

  Takashi Ichinomiya; Takashi Ichinomiya; Ippei Obayashi; Yasuaki Hiraoka

  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Jan. 2017, Peer-reviewed

  
• Persistent homology analysis of craze formation

  Takashi Ichinomiya; Ippei Obayashi; Yasuaki Hiraoka

  PHYSICAL REVIEW E, Jan. 2017, Peer-reviewed

  
• Chemical state mapping of heterogeneous reduction of iron ore sinter

  M. Kimura; Y. Takeichi; R. Murao; I. Obayashi; Y. Hiraoka; Y. Liu

  X-RAY MICROSCOPY CONFERENCE 2016 (XRM 2016), 2017, Peer-reviewed

  
• A cyclone identification algorithm with persistent homology and merge-tree

  Inatsu, M; H. Kato; Y. Katsuyama; Y. Hiraoka; I. Obayashi

  Scientific Online Letters on the Atmosphere, 2017, Peer-reviewed

  
• Order in Disorder: Persistent Homology and Its Applications

  Hiraoka Yasuaki; Yasumasa Nishiura

  日本物理学会誌「交流」, 2017, Peer-reviewed

  
• Continuation of point clouds via persistence diagrams

  Marcio Gameiro; Yasuaki Hiraoka; Ippei Obayashi

  PHYSICA D-NONLINEAR PHENOMENA, Nov. 2016

  
• Hierarchical structures of amorphous solids characterized by persistent homology

  Yasuaki Hiraoka; Takenobu Nakamura; Akihiko Hirata; Emerson G. Escolar; Kaname Matsue; Yasumasa Nishiura

  PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, Jun. 2016

  
• Relative interleavings and applications to sensor networks

  Yasuaki Hiraoka; Genki Kusano

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Feb. 2016

  
• Persistence Modules on Commutative Ladders of Finite Type

  Emerson G. Escolar; Yasuaki Hiraoka

  DISCRETE & COMPUTATIONAL GEOMETRY, Jan. 2016

  
• Optimal Cycles for Persistent Homology Via Linear Programming

  Emerson G. Escolar; Yasuaki Hiraoka

  OPTIMIZATION IN THE REAL WORLD: TOWARD SOLVING REAL-WORLD OPTIMIZATION PROBLEMS, 2016

  
• 位相的データ解析とパーシステントホモロジー

  平岡裕章

  日本数学会『数学』, 2016, Peer-reviewed

  
• Persistence of Common Topological Structures by Commutative Triple Ladder Quiver

  Emerson G. Escolar; Yasuaki Hiraoka

  MATHEMATICAL CHALLENGES IN A NEW PHASE OF MATERIALS SCIENCE, 2016

  
• Topological Data Analysis.

  Y. Hiraoka

  The Brain & Neural Networks, 2016

  
• Persistence weighted Gaussian kernel for topological data analysis.

  G. Kusano; K. Fukumizu; Y. Hiraoka

  JMLR: W&CP, 2016

  
• Tutte polynomials and random-cluster models in Bernoulli cell complexes.

  Y. Hiraoka; T. Shirai

  RIMS Kokyuroku Bessatsu., 2016, Peer-reviewed

  
• Persistent homology and many-body atomic structure for medium-range order in the glass

  Takenobu Nakamura; Yasuaki Hiraoka; Akihiko Hirata; Emerson G. Escolar; Yasumasa Nishiura

  NANOTECHNOLOGY, Jul. 2015

  
• A topological measurement of protein compressibility

  Marcio Gameiro; Yasuaki Hiraoka; Shunsuke Izumi; Miroslav Kramar; Konstantin Mischaikow; Vidit Nanda

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Mar. 2015

  
• 18pCU-13 Description of amorphous structures for various materials by Persistent homology

  Nakamura T.; Hiraoka Y.; Hirata A.

  Meeting Abstracts of the Physical Society of Japan, 2015

  
• 22aAF-12 Description of Medium range order by Persistent homology

  Nakamura T.; Hiraoka Y.; Hirata A.; Escolar E.; Matsue K.; Nishiura Y.

  Meeting Abstracts of the Physical Society of Japan, 2015

  
• Computing Optimal Cycles of Homology Groups.

  E. Escolar; Y. Hiraoka

  A Mathematical Approach to Research Problems of Science and Technology - Theoretical Basis and Developments in Mathematical Modeling,, 2014

  
• Morse Reduction for Zigzag Complexes.

  E. Escolar; Y. Hiraoka

  J. Indones. Math. Soc., 2014

  
• Computing persistence modules on commutative ladders of finite type

  Emerson G. Escolar; Yasuaki Hiraoka

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2014

  
• 不変式環と近似最尤推定復号の設計

  平岡裕章

  COE Lecture Note, 2013

  
• パーシステントホモロジー群 --離散データのトポロジカル解析--，

  平岡裕章

  COE Lecture Note, 2013

  
• Rational maps and maximum likelihood decodings

  Kazunori Hayashi; Yasuaki Hiraoka

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2012

  
• Algebraic Structures in Rational Maps of Maximum Likelihood Decodings

  Y. Hiraoka

  IEICE Technical Report IT2012-42, 2012

  
• A dynamical system approach to coding theory: Rational map and maximum likelihood decodings

  林和則; 平岡裕章

  （RIMS Kokyuroku）, 2011

  
• Applications of Sheaf Cohomology and Exact Sequences to Network Coding

  R. Ghrist; Y. Hiraoka

  （RIMS Kokyuroku）, 2011

  
• Mayer-Vietoris sequences and coverage problems in sensor networks

  Zin Arai; Kazunori Hayashi; Yasuaki Hiraoka

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2011

  
• Network Codings and Sheaf Cohomology,

  R. Ghrist; Y. Hiraoka

  NOLTA 2011, 2011

  
• Remarks on collision manifolds and nonexistence of non self-similar collision solutions in the 3-vortex problem

  Y. Hiraoka

  RIMS Kokyuroku Bessatsu, 2009

  
• Normal form and solitons

  Y. Hiraoka; Y. Kodama

  Lecture Notes in Physics, 2009

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem

  Yasuaki Hiraoka

  NONLINEARITY, Feb. 2008

  
• Introduction to CHomP Software

  Hiraoka Yasuaki; Pilarczyk Pawel

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2008

  
• Mayer-Vietoris 完全系列のセンサーネットワーク被覆問題への応用

  荒井迅; 林和則; 平岡裕章

  京都大学数理解析研究所講究録, 2008

  
• NC2008-4

  Y. Hiraoka; Z. Arai; K. Hayashi

  IEICE Technical Report, 2008

  
• WBS2008-65

  Y. Hiraoka; Z. Arai; K. Hayashi

  IEICE Technical Report, 2008

  
• An efficient estimate based on FFT in topological verification method

  Yasuaki Hiraoka; Toshiyuki Ogawa

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Feb. 2007

  
• Czech-Japanese-Slovak Seminar in Applied Mathematics 2006

  Hiraoka Yasuaki

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2007

  
• リバーシブル系に現れる対称ホモクリニック軌道の計算機援用証明

  平岡裕章

  京都大学数理解析研究所講究録, 2007

  
• Homotopy reduction of complex networks

  Y. Hiraoka; T. Ichinomiya

  Proceedings of the International Symposium on Topological Aspects of Critical Systems and Networks, 2007

  
• Rigorous numerics for symmetric homoclinic orbits in reversible dynamical systems

  Yasuaki Hiraoka

  KYBERNETIKA, 2007

  
• Construction of approximate solutions for rigorous numerics of symmetric homoclinic orbits

  Y. Hiraoka

  RIMS Kokyuroku Bessatsu, 2007

  
• 無限次元力学系における位相検証

  平岡裕章

  京都大学数理解析研究所講究録, 2006

  
• Localized patterns in space reversible systems

  Y. Hiraoka

  （RIMS Kokyuroku）, 2006

  
• 5次Swift-Hohenberg方程式における局在パターン解

  平岡裕章

  京都大学数理解析研究所講究録, 2006

  
• Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation

  Y Hiraoka; T Ogawa

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Feb. 2005

  
• Rigorous Numerics of Global Bifurcation Structure in Infinite Dimensional Dynamical Systems(Computational Topology and Dynamical System)

  Hiraoka Yasuaki; Ogawa Toshiyuki

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2005

  
• Rigorous numerics for global dynamics: A study of the Swift-Hohenberg equation

  S Day; Y Hiraoka; K Mischaikow; T Ogawa

  SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2005

  
• 無限次元力学系における大域分岐検証

  平岡裕章; 小川知之

  応用数理(小特集・力学系の位相計算理論), 2005

  
• Conley index and numerical verification

  Y. Hiraoka

  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2004, 2004

  
• Conley Index Based Numerical Verification Method for Global Bifurcations of the Stationary Solutions to the Swift-Hohenberg Equation

  Hiraoka Yasuaki; Ogawa Toshiyuki; Mischaikow Konstantin

  Transactions of the Japan Society for Industrial and Applied Mathematics, 2003

  
• Algebraic Structure and Approximations of Bit-wise Maximum Likelihood Decodings of Linear Codes, in preparation.

  K. Hayashi; Y. Hiraoka

  

Misc.

• ふご[ζ×]う : 符号理論∈数学∩工学(第3回)BCH符号の復号

  平岡 裕章

  数学セミナー, Sep. 2012

  
• ふご[ζ×]う : 符号理論∈数学∩工学(第2回)巡回符号からBCH符号へ

  平岡 裕章

  数学セミナー, Aug. 2012

  
• Mayer-Vietoris完全系列のセンサーネットワーク被覆問題への応用 (数値解析における理論・手法・応用)

  平岡 裕章; 荒井 迅; 林 和則

  数理解析研究所講究録, Apr. 2009

  Access this misc :

  
• Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics

  Emerson G. Escolar; Yasuaki Hiraoka; Mitsuru Igami; Yasin Ozcan

  01 Sep. 2019

  
• Multi Phase Field 法とパーシステントホモロジー解析による鉄鋼材料組織の特徴抽出

  沖直人; 山田拓洋; 山中晃徳; 大林一平; 平岡裕章; 赤木和人; 小嗣真人

  第66回応用物理学会春季学術講演会講演予稿集, Mar. 2019

  
• Chemical State Mapping Using Xray Microscopes and Nonempirical Analysis of Trigger Sites Using Applied Mathematics

  Masao KIMURA

  Materia Japan, Dec. 2018

  
• 数値シミュレーションと組み合わせた構造解析による蛇紋岩の形成メカニズム推定

  宮澤美幸; 鈴木杏奈; 岡本敦; 清水浩之; 大林一平; 平岡裕章; 平岡裕章; 伊藤高敏

  日本地質学会学術大会講演要旨, Sep. 2018

  
• ランダム複体とパーシステントホモロジー (確率論シンポジウム)

  白井 朋之; 平岡 裕章

  数理解析研究所講究録, Jun. 2015

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• 8aAp-9 A characterization of the amorphous silica structure by persistent homology II

  Nakamura Takenobu; Hiraoka Yasuaki; Hirata Akihiko; Escolar Emerson; Matsue Kaname; Nishiura Yasumasa

  Meeting abstracts of the Physical Society of Japan, 22 Aug. 2014

  
• 代数的トポロジーとセンサーネットワーク

  平岡裕章; 荒井 迅; 林 和則

  信学技報 IT2008-52, Mar. 2009, Invited

  
• Algebraic topology and sensor networks

  HIRAOKA Yasuaki; ARAI Zin; HAYASHI Kazunori

  IEICE technical report, 23 May 2008

  
• Mayer-Vietoris 完全系列のセンサーネットワークへの応用

  平岡裕章; 荒井 迅; 林 和則

  日本数学会, 応用数学分科会, Mar. 2008

  
• A3 foresight winter school on“ Mathematics on Materials Science: “ Topological Data Analysis and Dynamics ”

  Yasumasa Nishiura; Yasuaki Hiraoka

  Tohoku University (Sendai) (Feb 15-16, 2016)

  
• ふご[ζ×]う : 符号理論∈数学∩工学(第9回)最尤推定復号の代数構造

  平岡 裕章

  数学セミナー, Mar. 2013

  

Presentations

• Persistent homology from viewpoints of representation, probability, and application

  Yasuaki Hiraoka

  KAIST Colloquium, 12 Dec. 2024, Invited

  
• scEGOT: Single-cell trajectory inference based on entropic Gaussian mixture optimal transport

  Yasuaki Hiraoka

  ToGeDa seminar in KAIST, 12 Dec. 2024, Invited

  
• Some topics on topological & geometric data analysis

  Yasuaki HIRAOKA

  Colloquium at Kavli Institute for the Physics and Mathematics of the Universe, 27 Nov. 2024, Invited

  
• scEGOT: Single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport. Data driven dynamics

  Yasuaki HIRAOKA

  Data driven dynamics, CRM., 11 Nov. 2024, Invited

  
• scEGOT: Single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport

  Yasuaki Hiraoka

  IMS-NTU joint workshop on Biomolecular Topology: Modelling and Data Analysis, 24 Jun. 2024, Invited

  
• scEGOT: Single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport

  Yasuaki Hiraoka

  17 Jun. 2024, Invited

  
• Persistent Homology from Viewpoints of Representation, Probability, and Application

  Yasuaki Hiraoka

  Forum "Math-for-Industry" 2023 -MfI2.0-, 29 Aug. 2023, Invited

  
• Persistent Homology from Viewpoints of Representation, Probability, and Application

  Yasuaki Hiraoka

  ICIAM 2023, 22 Aug. 2023, Invited

  
• Interval approximation and connected persistence diagram in commutative ladder quivers

  Yasuaki Hiraoka

  Nordic Congress of Mathematics 2023: The ubiquity of quivers and their representations, 06 Jul. 2023, Invited

  
• Curse of dimensionality in persistence diagrams -How to characterize topology in single-cell resolution-

  Yasuaki Hiraoka

  FoCM 2023: Computational Geometry and Topology, 12 Jun. 2023, Invited

  
• Curse of dimensionality in persistence diagrams -How to characterize topology in single-cell resolution-

  Yasuaki Hiraoka

  Dagstuhl Seminar: Topological Data Analysis and Applications, 08 May 2023, Invited

  
• Persistent homology: Theory and application

  Yasuaki Hiraoka

  日本数学会2023年度年会企画特別講演, 17 Mar. 2023, Invited

  
• マグニチュードホモロジーの確率論研究, およびデータ解析への適用可能性について

  平岡裕章

  Workshop on Magnitude 2022, 22 Dec. 2022, Invited

  
• Is the persistence diagram really a stable data descriptor?

  Yasuaki Hiraoka

  International Conference on "Topology and its Applications to Engineering and Life Science", 29 Nov. 2022, Invited

  
• Is the persistence diagram really a stable data descriptor?

  Yasuaki Hiraoka

  Computational Persistence 2022, 04 Nov. 2022, Invited

  
• パーシステントホモロジーはデータ記述子として本当に安定か？

  平岡裕章

  西浦廉政先生古希記念研究会 ー21世紀応用数学の現在と未来ー, 21 Sep. 2022, Invited

  
• Girth, magnitude homology, and phase transition of diagonality

  Yasuaki Hiraoka

  Conference on Applied, Combinatorial and Toric Topology, 20 Jul. 2022, Invited

  
• トポロジカルデータ解析からデータ記述科学へ

  平岡裕章

  CREST「現代の数理科学と連携するモデリング手法の構築」 成果報告公開シンポジウム, 21 Sep. 2021, Invited

  
• On characterizing rare events in persistent homology

  Yasuaki Hiraoka

  Applied CATS seminar, 14 Sep. 2021, Invited

  
• トポロジカルデータ解析の生命科学への応用

  平岡裕章

  2021年度日本数理生物学会年会, 13 Sep. 2021, Invited

  
• On characterizing rare events in persistent homology

  Yasuaki Hiraoka

  Online workshop "Beyond TDA -- Persistent topology and its applications in data sciences", 30 Aug. 2021, Invited

  
• パーシステントホモロジーのマルチパラメータ化に向けて

  平岡裕章

  MIMS / CMMAトポロジーとその応用融合研究セミナー, 29 Jul. 2021, Invited

  
• On characterizing rare events in persistent homology

  Yasuaki Hiraoka

  Thematic Einstein Semester on Geometric and Topological Structure of Materials, 14 Apr. 2021, Invited

  
• Characterizing rare events in persistent homology

  Yasuaki Hiraoka

  Joint Mathematics Meetings, AMS Special Session on Applied Topology., 08 Jan. 2021, Invited

  
• Characterizing rare events in persistent homology

  Yasuaki Hiraoka

  Topological Data Analysis and Beyond. Workshop at NeurIPS 2020., 11 Dec. 2020, Invited

  
• Characterizing rare events in persistent homology

  Seminar GEOTOP-A, 04 Dec. 2020, Invited

  
• Fusion researches between biology and mathematics in ASHBi

  Yasuaki Hiraoka

  The 43rd Annual Meeting of the Molecular Biology Society of Japan, 02 Dec. 2020, Invited

  
• Limit theorems of persistent homology

  Yasuaki Hiraoka

  Joint Mathematics Meetings, AMS Special Session on Applied Topology, 17 Jan. 2020, Invited

  
• Introduction on geometry and topology in data analysis

  Hiraoka Yasuaki

  ICIAM 2019, 15 Jul. 2019, Invited

  
• Topological data analysis in materials science: An application of commutative ladder persistence.

  Hiraoka Yasuaki

  SIAM Conference on Applied Algebraic Geometry, 11 Jul. 2019, Invited

  
• Persistent homology and its applications in materials science

  Hiraoka Yasuaki

  Workshop "Computational Applications of Quiver Representations: TDA and QPA, 02 May 2019, Invited

  
• Topological data analysis in materials science

  Hiraoka Yasuaki

  Workshop on Data Driven Dynamics: Algebraic Topology, Combinatorics and Analysis, 15 Apr. 2019, Invited

  
• Topological data analysis towards human biology

  Hiraoka Yasuaki

  Kick-off symposium of ASHBi, 11 Mar. 2019, Invited

  
• Topological data analysis on materials science and several problems in random topology

  Hiraoka Yasuaki

  XXI BRAZILIAN TOPOLOGY MEETING, 17 Aug. 2018, Invited

  
• Topological Data Analysis in Materials Science

  Hiraoka Yasuaki

  SIAM Conference on Mathematical Aspects of Materials Science, 13 Jul. 2018, Invited

  
• Limit theorems and percolations in random cubical Homology

  Hiraoka Yasuaki

  Algebraic Topology in Data and Dynamics 2018, Jul. 2018, Invited

  
• Topological data analysis and persistent homology

  Hiraoka Yasuaki

  13th SIAM East Asian Section Conference 2018, Jun. 2018, Invited

  
• Topological data analysis and persistent homology

  Hiraoka Yasuaki

  RIKKYO MathPhys 2018, 13 Mar. 2018, Invited

  
• Machine learnings on persistence diagrams and materials structural analysis

  Hiraoka Yasuaki

  Joint Mathematics Meetings, 10 Jan. 2018, Invited

  
• Materials TDA and random-statistical topology

  Hiraoka Yasuaki

  Applied Algebraic Topology 2017, 08 Aug. 2017, Invited

  
• Topological Data Analysis on Materials Science

  Hiraoka Yasuaki

  SoCG 2017, Jul. 2017, Invited

  
• Limit theorem for persistence diagrams and related topics

  Hiraoka Yasuaki

  Applied Topology in Bedlewo 2017, Jun. 2017, Invited

  
• Limit theorem for persistence diagrams and related topics

  Hiraoka Yasuaki

  Applied and Computational Algebraic Topology, 02 May 2017, Invited

  
• Topological data analysis on materials science

  Hiraoka Yasuaki

  The AIMR International Symposium 2017, 12 Feb. 2017, Invited

  
• パーシステントホモロジーと機械学習.

  第19回情報論的学習理論ワークショップ．, Nov. 2016

  
• Persistence Diagrams in Probability and Statistics: From Materials TDA Viewpoints.

  Stochastic Topology and Thermodynamic Limits., Oct. 2016

  
• Topoloical data analysis and quiver representation I and II.

  第49回環論および表現論シンポジウム．, Aug. 2016

  
• Persistence Diagrams in Probability and Statistics: From Materials TDA Viewpoints.

  Algebraic Topology: Computation, Methods, and Science 7th Edition:, Jul. 2016

  
• Topological Data Analysis on Materials Science: Statistical Characterization of Glass Transition.

  5th Mini-Symposium on Computational Topology. SoCG 2016,, Jun. 2016

  
• Topological data analysis and persistent homology (1), (2).

  Applications of Algebraic Methods to Statistics., Jun. 2016

  
• 招待講演：数学から応用へ、応用から数学へ．

  京都大学「MACS 教育プログラム」キックオフシンポジウム．, 15 May 2016

  
• 材料科学への位相的データ解析．

  理研 iTHES - 東北大 AIMR - 東大生産研 合同シンポジューム「数理科学の新しい地平」．, 28 Apr. 2016

  
• 位相的データ解析とパーシステントホモロジー，

  日本数学会２０１５年度年会応用数学分科会特別セッション，, Mar. 2016

  
• The lifetime sum and the Tutte polynomial in Bernoulli cell complexes.

  Workshop on Random and Statistical Topology., Feb. 2016

  
• 位相的データ解析とパーシステントホモロジー．

  大阪大学数学専攻談話会．, Nov. 2015

  
• Introduction to Topological Data Analysis.

  2nd China-Japan-Korea A3 foresight meeting., Nov. 2015

  
• Topological Data Analysis on Materials Science: Statistics and Continuation.

  Computational Geometric and Algebraic Topology., Oct. 2015

  
• 招待講演：パーシステントホモロジーを用いたアモルファス構造解析. ナノスケール原子相関―マルチプローブ構造解析の新展開―．

  日本セラミックス協会 第28回秋季シンポジウム．, Sep. 2015

  
• 位相的データ解析とパーシステントホモロジー．

  語ろう「数理解析」．, Sep. 2015

  
• Topological Data Analysis: Network, Sensor, and Material.

  JST CREST-さきがけ数学シンポジウム 2015 『22 世紀社会創造のための数学』．, Sep. 2015

  
• Topological data analysis on materials science: a connection to compressive sensing．

  東北大AIMR?新学術領域研究「疎性モデリング」合同シンポジウム．, Sep. 2015

  
• Random Topology, Minimum Spanning Acycle, and Persistent Homology.

  International Conference “Dynamics, Topology, and Computations”,, Jun. 2015

  
• 材料・生命・情報通信と応用トポロジー，

  講演会「数学は世界を変えられるか？｢忘れられた科学−数学｣から10年 数学イノベーションの現状と未来」主催：文部科学省 科学技術・学術政策研究所 研究振興局基礎研究振興課数学イノベーションユニット．, 16 Apr. 2015

  
• Random Topology, Minimum Spanning Acycle, and Persistent Homology.

  Workshop on "Probabilistic models with determinantal structure",, Apr. 2015

  
• 位相的データ解析と生命・材料・情報科学への応用，

  第28期CAMMフォーラム，, Mar. 2015

  
• 位相的データ解析：生命・材料・情報科学との接点について，

  数電機シンポジウム Mathematics in the Real world 6，, Mar. 2015

  
• Topological Data Analysis on Amorphous Structures.

  Topological Data Analysis on Materials Science,, Feb. 2015

  
• Topological Data Analysis on Amorphous Structure.

  FoCM’ 14,, Dec. 2014

  
• Semi-Plenary: Topology and Geometry of Amorphous Structures.

  FoCM’ 14,, Dec. 2014

  
• Topological Data Analysis on Materials Science.

  Mathematics of Fluid Dynamics and Material Science, 1st Joint Conference of A3 Foresight Program,, Nov. 2014

  
• Topological Data Analysis on Amorphous Structure.

  Workshop on Topology : Identifying Order in Complex Systems,, Oct. 2014

  
• 位相的データ解析の材料科学への応用，

  数学協働プログラム・日本応用数理学会ワークショップ「数理科学の物質・材料科学への応用」，日本応用数理学会，, Sep. 2014

  
• Persistence Modules on Commutative Ladders: Auslander-Reiten Theory in Topological Data Analysis.

  空間の代数的・幾何的モデルとその周辺，, Sep. 2014

  
• センサーネットワーク被覆問題へのパーシステントホモロジーの応用，

  日本数学会２０１４年度秋期応用数学分科会，, Sep. 2014

  
• Computing Persistence Modules on Commutative Ladders of Finite Type，

  日本数学会２０１４年度秋期応用数学分科会，, Sep. 2014

  
• 可換梯子箙上でのパーシステント加群，

  日本数学会２０１４年度秋期応用数学分科会，, Sep. 2014

  
• Computing Persistence Modules on Commutative Ladder Quivers of Finite Type.

  ICMS 2014 Session: Software for Computational Topology,, Aug. 2014

  
• Hierarchical Geometric Characterizations of SiO2 by Persistent Homology.

  Mathematical Challenbe to New Phase of Materials Science,, Aug. 2014

  
• Persistent Homology and Representation: A viewpoint from topological data analysis.

  Jul. 2014

  
• Topological Data Analysis in Glass.

  Computational Geometry Seminar at IST Austria,, Jul. 2014

  
• Auslander-Reiten theory and persistence modules.

  Workshop on Topological Data Analysis., Jun. 2014

  
• Persistent Homology and Atomic Arrangement in Materials.

  Pattern Formation: mathematics & materials., Apr. 2014

  
• Persistence of Common Topological Structures by a Commutative Triple Ladder Quiver.

  Topological Systems: Communication, Sensing, and Actuation,, Mar. 2014

  
• Persistent Homology and Atomic Arrangements,

  WPI-AIMR Workshop Structure and Dynamics of Glasses,, Feb. 2014

  
• Persistence Modules and their Applications to Materials Science.

  SIAM Annual Meeting 2014,, 2014

  
• Persistent Homology and its Applications,

  Intensive Course in KAIST,, Dec. 2013

  
• [招待講演] パーシステントホモロジーとその応用，

  トポロジーとコンピュータ，, Nov. 2013

  
• Computational Persistent Topology and its Applications,

  2013 Northeast Asian Symposium on High Performance Computing Methods and Modeling,, Sep. 2013

  
• Persistence Modules, Representations, and Protein Structural Analysis,

  Colloquium in Math department, Laval University,, Sep. 2013

  
• 計算トポロジーとその応用：諸科学との連携を目指して ，

  IMI共同利用・共同研究拠点開始記念シンポジウム「日本の数学の産業／諸科学との連携と発展を目指して」,, Jun. 2013

  
• Persistent Homology and Protein Structural Analysis,

  IMA Joint US-Japan Conference for Young Researchers on Interactions among Localized Patterns in Dissipative Systems,, Jun. 2013

  
• パーシステントホモロジー群のタンパク質構造解析への応用，

  日本数学会２０１２年度年会応用数学分科会，, Mar. 2013

  
• Approximate Maximum Likelihood Decodings and Invariant Theory,

  From Modern Coding Theory To Postmodern Coding Theory,, Mar. 2013

  
• タンパク質構造とトポロジー，IMI チュートリアル「数学モデリングの基礎と展開」，

  Feb. 2013

  
• タンパク質構造とトポロジー，応用トポロジーとシステムバイオロジー：

  数理医学の新たな挑戦，, Feb. 2013

  
• 計算トポロジーの現状，

  計算材料科学と数学の協働によるスマート材料デザイン手法の探索，, Feb. 2013

  
• パーシステントホモロジー群とタンパク質構造解析，

  Half day workshop on protein dynamics，, Jan. 2013

  
• タンパク質構造とトポロジー: パーシステントホモロジー群の応用，

  CTDSセミナー，, Nov. 2012

  
• Algebraic Structure of Maximum Likelihood Decodings: Invariants and Duality,

  Shinshu Applied Topology Seminar,, Nov. 2012

  
• [招待講演] 最尤推定復号の有理写像表現に現れる代数構造とその応用，

  電子情報通信学会 情報理論研究会，, Sep. 2012

  
• パーシステントホモロジー群のタンパク質構造解析への応用，

  トポロジーシンポジウム，, Aug. 2012

  
• 近似最尤推定復号の設計に現れる不変式環，

  グレブナー若手集会，, Jul. 2012

  
• Applications of persistent diagrams to protein compressibility and phylogenetic trees, Applied and computational topology:

  ATMCS 5,, Jul. 2012

  
• 計算トポロジーの応用，

  日本鉄鋼協会3D4Dシンポジウム，, Mar. 2012

  
• ネットワーク符号と層コホモロジー: ホモロジー代数・導来圏の情報理論への応用，

  日本数学会２０１１年度年会応用数学分科会，, Mar. 2012

  
• Rational maps and maximum likelihood decoding: dynamical system and invariant theory in decodings,

  AMS Sectional Meeting, Special Session on Mathematical Coding Theory and its Industrial Applications,, Mar. 2012

  
• タンパク質構造とトポロジー，京都駅前セミナー，

  Feb. 2012

  
• 有理写像と最尤推定復号，

  複素力学系の総合的研究，, Jan. 2012

  
• タンパク質構造とトポロジー，数理モデルの産業・諸科学への活用 -数理モデルの夢-，

  Dec. 2011

  
• 層コホモロジーとネットワーク符号，

  中木記 念シンポジウム 移動境界とパターンダイナミクスの数値解析，, Dec. 2011

  
• タンパク質構造とトポロジー，理化学研究所望月理論生物学研究室セミナー，

  Dec. 2011

  
• シャノン限界の実現と次世代情報通信理論の構築，

  JSTさきがけ数学領域成果報告会，, Dec. 2011

  
• Network Codings and Sheaf Cohomology，

  第３回暗号及び情報セキュリティと数学の相関ワークショップ，, Dec. 2011

  
• Network Codings and Sheaf Cohomology,

  Topology Seminar,, Nov. 2011

  
• タンパク質構造とトポロジー ，

  応用数学連携フォーラム，, Oct. 2011

  
• 有理写像と最尤推定復号，

  金沢大学数理学談話会，, Oct. 2011

  
• Applications of sheaf cohomology and exact sequences to network coding,

  Forum "Math-for-Industry" 2011,, Oct. 2011

  
• Network Codings and Sheaf Cohomology,

  NOLTA2011,, Sep. 2011

  
• Computational Topology to Protein Structure Analysis: compressibility, persistence, and minimum generators,

  Workshop on Applied Topology at Hakata,, Aug. 2011

  
• Applications of Sheaf Cohomology and Exact Sequences to Network,

  Adventures of Categories，, Jun. 2011

  
• タンパク質の構造解析へ向けた計算ホモロジーの応用．

  九州大学現象数理セミナー，, Jun. 2011

  
• Approximate maximum likelihood decoding and its combinatorial structure，

  第２８回代数的組み合わせ論シンポジウム，, Jun. 2011

  
• トポロジーの応用に関する２つの話題．

  九州大学トポロジー金曜セミナー，, May 2011

  
• Rational Maps and Maximum Likelihood Decodings,

  九州大学暗号学セミナー，, May 2011

  
• Applications of Computational Homology to Protein Structure Analysis,

  BioMaPS Seminar Series in Quantitative Biology,, May 2011

  
• 有理写像と最尤推定復号：力学系からの符号理論へのアプローチ．

  力学系の応用研究集会，, Mar. 2011

  
• 有理写像と最尤推定復号:力学系からの符号理論へのアプローチ．

  応用数学合同研究集会，, Dec. 2010

  
• Network Codings and Sheaves．

  ホモトピー論シンポジウム，, Nov. 2010

  
• 有理写像と最尤推定復号：力学系からの符号理論へのアプローチ．

  京都大学数学教室談話会，, Nov. 2010

  
• 力学系とトポロジーからの符号理論へのアプローチ．

  諸分野との協働による数理科学のフロンティア，, Nov. 2010

  
• Network codings and sheaves.

  トポロジーとコンピュータ２０１０，, Sep. 2010

  
• 有理写像と最尤推定復号：力学系からの符号理論へのアプローチ．語ろう「数理解析」，

  Sep. 2010

  
• 有理写像と最尤推定復号：力学系からの符号理論へのアプローチ．力学系ー理論から応用へ、応用から理論へー，

  Sep. 2010

  
• 有理写像と最尤推定復号：復号誤り率特性．

  日本数学会２０１０年度秋期応用数学分科会，, Sep. 2010

  
• 有理写像と最尤推定復号：符号ー復号双対定理．

  日本数学会２０１０年度秋期応用数学分科会，, Sep. 2010

  
• 有理写像と最尤推定復号：力学系からの符号理論へのアプローチ．

  九州力学系セミナー，, Aug. 2010

  
• A dynamical system approach to coding theory: duality in algebraic geometry codes.

  Applied mathematics seminar,, Jun. 2010

  
• Network codings and sheaves.

  Algebra and Topology: Methods, Computation, and Science, （査読付き）, Jun. 2010

  
• A dynamical system approach to coding theory: duality in algebraic geometry codes.

  AMS Sectional Meeting, Special Session on Topological and Computational Dynamics,, May 2010

  
• 招待講演：代数的トポロジーとセンサーネットワーク，

  電子情報通信学会WBS研究会，, Mar. 2009

  
• 招待講演：Mayer-Vietoris 完全系列のセンサーネットワーク被覆問題への応用，

  日本数学会２００９年度年会応用数学分科会特別講演．, 2009

  
• Mayer-Vietoris完全系列のセンサーネットワーク被覆問題への応用．

  応用数学合同研究集会,, Dec. 2008

  
• Mayer-Vietoris完全系列のセンサーネットワーク被覆問題への応用．

  数値解析における理論・手法・応用，, Nov. 2008

  
• 衝突多様体の渦点系への応用．

  偏微分方程式と現象,, Nov. 2008

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．可積分数理の広がり，

  Aug. 2008

  
• Topological regularization of the triple collision in the 3-vortex problem. Foundations of Computational Mathematics 2008,

  Jun. 2008

  
• Topological regularization of the triple collision in the 3-vortex problem. Kyoto Dynamics Days 7 "Hamiltonian Systems and Related Topics",

  Jun. 2008

  
• 招待講演：代数的トポロジーとセンサーネットワーク，

  電子情報通信学会ニューロコンピューティング研究会，, May 2008

  
• 招待講演：Mayer-Vietoris完全系列のセンサーネットワーク被覆問題への応用，

  京都大学数理解析研究所研究集会，生命現象と関連した非線形問題の数理，, Mar. 2008

  
• Mayer-Vietoris sequences and coverage problems in sensor networks．

  NSC Winter Workshop 2008，, Mar. 2008

  
• Mayer-Vietoris完全系列のセンサーネットワークへの応用．

  日本数学会２００８年度年会応用数学分科会,, Mar. 2008

  
• Rigorous numerics for the existence of homoclinic orbits via exponential dichotomy.

  2008 International Workshop on Numerical Verification and its Applications,, Mar. 2008

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．大阪大学基礎工学研究科数理解析セミナー,

  Feb. 2008

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．九州大学現象数理セミナー,

  Feb. 2008

  
• Mayer-Vietoris完全系列のセンサーネットワーク被覆問題への応用．

  九州力学系セミナー，, Jan. 2008

  
• Conley指数理論と計算機援用解析．

  京都大学情報学研究科シミュレーション科学セミナー，, 12 Dec. 2007

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．応用数学合同研究集会,

  Dec. 2007

  
• 代数的トポロジーとセンサーネットワーク．

  京都大学情報学研究科シミュレーション科学セミナー，, 28 Nov. 2007

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．「ハミルトン系とその周辺」小研究会，

  Nov. 2007

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．仙台放物型・楕円型方程式研究集会 -- ラプラシアンの解析と幾何 --，

  Nov. 2007

  
• CHomPソフトウェア入門．

  応用数理サマーセミナー2007「計算ホモロジーとその応用」，, Sep. 2007

  
• Topological regularizations of the triple collision singularity in the 3-vortex problem．

  日本数学会２００７年度秋季応用数学分科会，, Sep. 2007

  
• ホモ／ヘテロクリニック軌道の数値検証法．

  HMCセミナー，, 13 Jul. 2007

  
• グレイスコットモデルの定常解に対するメルニコフの方法の応用．

  九州関数方程式セミナー，, 29 Jun. 2007

  
• ホモ／ヘテロクリニック軌道に対する数値検証法．

  第９回機械工学における力学系理論の応用に関する研究会，, Mar. 2007

  
• Rigorous numerics for the existence of homoclinic orbits via exponential dichotomy.

  Topological and Computational Approaches to Dynamical Systems,, Feb. 2007

  
• ホモ／ヘテロクリニック軌道に対する精度保証と偏微分方程式への応用．広島大学数学教室談話会，

  Nov. 2006

  
• ホモ／ヘテロクリニック軌道に対する精度保証と偏微分方程式への応用．東北大学応用数学セミナー，

  Nov. 2006

  
• Exponential dichotomy性を用いたホモ／ヘテロクリニック軌道の数値検証と反応拡散系への応用．

  散逸系におけるパターン形成問題，, Oct. 2006

  
• Exponential dichotomy性を用いたホモ／ヘテロクリニック軌道の数値検証とその応用．

  九州大学数値解析セミナー,, Oct. 2006

  
• Exponential dichotomy性を用いたホモ／ヘテロクリニック軌道の数値検証．

  日本数学会２００６年度秋季応用数学分科会，, Sep. 2006

  
• Rigorous numerics for the existence of symmetric homoclinic orbits in reversible systems.

  First Slovak - Japan workshop on Computational Mathematics,, Sep. 2006

  
• Computer assisted analysis for the existence of homo/heteroclinic orbits.

  Czech-Japanese Seminar in Applied Mathematics,, Sep. 2006

  
• 計算機援用解析によるホモ／ヘテロクリニック軌道の存在証明．

  力学系理論の最近の発展，, Jun. 2006

  
• 空間リバーシブル系における局在パターン解．

  龍谷数理科学セミナー，, Mar. 2006

  
• Numerical verifications for homoclinic and heteroclinic orbits，

  計算機科学と偏微分方程式の交流，, Feb. 2006

  
• Homotopy reductions of complex networks.

  International Symposium on Topological Aspects of Critical Systems and Networks,, Feb. 2006

  
• ５次Swift-Hohenberg方程式における局在パターン解，

  計算科学の基盤技術とその発展，, Dec. 2005

  
• 空間リバーシブル系における局在パターン構造．東京理科大学理工学部数学科談話会,

  Nov. 2005

  
• 空間リバーシブル系における局在パターン構造．反応拡散系に現れる時・空間パターンのメカニズム，

  Nov. 2005

  
• 空間リバーシブル系における局在パターン構造．広島数理解析セミナー，

  Nov. 2005

  
• 無限次元力学系におけるコネクティング軌道の数値検証．

  日本応用数理学会オーガナイズドセッション（計算の品質），, Sep. 2005

  
• Localized patterns in reversible systems with saddle-focus equilibria．

  日本数学会２００５年度秋季応用数学分科会，, Sep. 2005

  
• Localized patterns in the quintic Swift-Hohenberg equation.

  Czech-Japanese Seminar in Applied Mathematics,, Sep. 2005

  
• 空間リバーシブル系における局在パターン構造．HMCセミナー，

  Aug. 2005

  
• Localized patterns in the Swift-Hohenberg equation.

  MSJ-IRI2005,, Jul. 2005

  
• 無限次元力学系における位相検証．

  力学系の研究?トポロジーと計算機による新展開?，, Jun. 2005

  
• Conley index and numerical verification.

  SciCade2005,, May 2005

  
• 計算機を用いたHomology理論への入門．

  北海道大学理学研究科数学専攻 COEプログラム Special Months：「数理物性学の展開」，, Feb. 2005

  
• Swift-Hohenberg方程式に現れる孤立波の階層構造とHamiltonian-Hopf分岐について．２００４年度冬の力学系研究集会,

  Jan. 2005

  
• Swift-Hohenberg方程式に現れる孤立波の階層構造とHamiltonian-Hopf分岐について．応用数学合同研究集会,

  Dec. 2004

  
• 無限次元力学系における位相計算理論．

  偏微分方程式と現象,, Nov. 2004

  
• Rigorous numerics for localized patterns of the quintic Swift-Hohenberg equation.

  SCAN2004,, Oct. 2004

  
• Swift?Hohenberg方程式におけるHamiltonian-Hopf分岐について．

  日本数学会２００４年度秋季応用数学分科会,, Sep. 2004

  
• Conley index and Numerical Verification.

  Czech-Japanese Seminar in Applied Mathematics,, Aug. 2004

  
• 無限次元力学系の大域的構造解析に向けた位相的計算理論．

  語ろう「数理解析」,, Jun. 2004

  
• 高次非線形性を持つ場合の定常解のConley指数を用いた検証．

  日本数学会２００４年度年会応用数学分科会,, Mar. 2004

  
• Rigorous numerics for global dynamics in gradient systems I.

  US-JAPAN workshop on Dynamics and Computations,, Mar. 2004

  
• Rigorous numerics for global dynamics in gradient systems II (poster).

  US-JAPAN workshop on Dynamics and Computations,, Mar. 2004

  
• Rigorous computation of Morse decompositions in gradient systems．

  日本数学会２００３年度秋季応用数学分科会,, Sep. 2003

  
• Conley index based numerical verification method for bifurcation diagrams in the Swift-Hohenberg equation.

  ICIAM2003,, Jul. 2003

  
• Conley指数を用いた定常解大域分岐図の検証．

  京都大学非線形解析セミナー,, Mar. 2003

  
• 定常解大域分岐図における非存在領域の検証．

  日本数学会２００３年度年会応用数学分科会,, Mar. 2003

  
• 定常解大域分岐図のConley指数を用いた数値検証．

  応用数学合同研究集会,, Dec. 2002

  
• Swift-Hohenberg方程式の大域分岐解のConley Indexを用いた検証．

  日本数学会２００２年度秋季応用数学分科会,, Sep. 2002

  

Books and Other Publications

• タンパク質構造とトポロジー: パーシステントホモロジー群入門

  平岡裕章

  共立出版, 2013, Not refereed

  

Industrial Property Rights

• 特願2020-102852, データ処理方法，データ処理装置およびデータ処理プログラム

  井元佑介; 中村友紀; 平岡裕章; 斎藤通紀

  

Awards

• 14 Mar. 2025

  2025年度稲盛科学研究機構フェロー
• 23 Dec. 2023

  2023年度 現象数理学三村賞
• 23 Dec. 2023

  現象数理学三村賞
• 2020

  The ceramic society of Japan, 2019 JCS-JAPAN優秀論文賞
• 2016

  National Institute of Science and Technology Policy, NISTEP Award
• 2012

  藤原洋数理科学賞実行委員会, 藤原洋数理科学賞奨励賞
• 2004

  JSIAM, 日本応用数理学会論文賞

External funds: Kakenhi

• Development of coercive force theory by eXtended Landau Free Energy (XLFE)

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 29:Applied condensed matter physics and related fields

  Tokyo University of Science

  小嗣 真人

  From 05 Apr. 2021, To 31 Mar. 2025, Granted

  機械学習;ランダウ理論;磁区構造解析;パーシステントホモロジー;磁区構造;自由エネルギー;因果解析;保磁力

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04656/
• 最適輸送の幾何学的・統計的研究およびトポロジカルデータ解析への応用

  Grant-in-Aid for JSPS Fellows

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  平岡 裕章

  From 28 Apr. 2021, To 31 Mar. 2023, Declined

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21F20721/
• Randomization of persistent homology and its interaction with Schubert calculus

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  Yasuaki Hiraoka

  From 01 Apr. 2020, To 31 Mar. 2024, Project Closed

  パーシステントホモロジー;ランダムトポロジー;確率論;シューベルト計算;マルチパラメータ・パーシステントホモロジー;非区間表現;シューベルトカリキュラス;マルチパラメータ・パーシステンス;ランダム化;材料科学;大数の法則;大偏差原理;両側シューベルト分解;シューベルト・カルキュラス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H00119/
• Development of a new method for data science via the fusion of dynamical systems and computational topology

  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Tokyo Institute of Technology;Chubu University

  荒井 迅

  From 07 Oct. 2019, To 31 Mar. 2025, Granted

  位相的データ解析;計算トポロジー;力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19KK0068/
• Interaction between randomness and geometric structures in simplicial complexes

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  Masanori Hino

  From 28 Jun. 2019, To 31 Mar. 2023, Project Closed

  単体複体;確率論;幾何構造;パーシステントホモロジー;ランダムグラフ;ランダムネス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K21833/
• Percolation from the view point of homology theory

  Grant-in-Aid for Challenging Research (Exploratory)

  Kyushu University

  Tomoyuki Shirai

  From 30 Jun. 2017, To 31 Mar. 2020, Project Closed

  パーコレーション;ホモロジー論;全域非輪体;方体複体;伊原ゼータ関数;パーシステントホモロジー;完全複体;ラプラシアン;ゼータ関数;ランダムトポロジー;ランダム複体;ホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18740/
• Inverse problem of persistent homology: A new method for structural analysis of proteins.

  Grant-in-Aid for Challenging Exploratory Research

  Tohoku University;Kyushu University

  Yasuaki Hiraoka

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  パーシステント写像;特異点

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26610042/
• Random graph and persistent homology

  Grant-in-Aid for Challenging Exploratory Research

  Kyushu University

  Tomoyuki Shirai

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  パーシステントホモロジー;ランダムグラフ;ランダム複体;エルデシュ・レンニグラフ;リニアル・メシュラム複体;ランダムセル複体;エルデシュ・レンニランダムグラフ;クリーク複体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26610025/
• New developments of statistical data analysis with algebraic topology

  Grant-in-Aid for Challenging Exploratory Research

  The Institute of Statistical Mathematics

  Kenji Fukumizu

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  多変量解析;代数的位相幾何;多様体学習;統計的位相幾何;代数的位相帰化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26540016/
• Mathematics of amorphous structures and soft ceramics

  Grant-in-Aid for Scientific Research (B)

  Tohoku University

  Yasumasa Nishiura

  From 18 Jul. 2014, To 31 Mar. 2018, Project Closed

  計算ホモロジー;マルチスケール;自己組織化;アモルファス;ソフトセラミックス;ナノ微粒子;ミクロ相分離;計算ホモロジ-;アモルフォス;ソフトセラミクス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26310205/
• Hierarchical structures and robustness for the set of global solution branches of spatially localized patterns in dissipative systems

  Grant-in-Aid for Scientific Research (A)

  Tohoku University

  Yasumasa Nishiura

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  パターン形成;散逸構造;パルス波;自己組織化;トポロジー;ネットワーク;反応拡散方程式;応用数学;大域分岐;空間局在解;応用拡散方程式;階層性;レジリエンス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26247015/
• Analysis of the "epicenter of fluctuation" of proteins using mass spectrometry and the cavity omics analysis

  Grant-in-Aid for Scientific Research (C)

  Hiroshima University

  Shunsuke Izumi

  From 01 Apr. 2013, To 31 Mar. 2016, Project Closed

  質量分析;タンパク質;パーシステントホモロジー群;HD交換速度;トポロジカル・キャビティ;HD交換法;オミクス計測科学;幾何モデル導出;ホモロジー群;蛋白質内のキャビティ網羅的解析;位相幾何学的定量化;蛋白質内のキャビティの網羅的解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25513005/
• Development and Application of Topological Computation Theory for Dynamical Systems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Hiroshi Kokubu

  From 01 Apr. 2013, To 31 Mar. 2018, Project Closed

  力学系;トポロジー;計算機援用解析;時系列;気象学;位相計算;生命科学;ネットワーク

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287029/
• Development of high performance error-correcting codes by using dynamical systems, Groebner basis, and sheaf cohomology

  Grant-in-Aid for Young Scientists (A)

  Tohoku University;Kyushu University

  Yasuaki Hiraoka

  From 01 Apr. 2012, To 31 Mar. 2016, Project Closed

  近似最尤推定復号;位相的データ解析;パーシステントホモロジー;一般化MacWilliams恒等式Mac;最尤推定復号;一般化MacWilliams恒等式;有理写像;グレブナー基底;MacWilliams恒等式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24684007/
• Algebraic Topological Approaches to Protein Structure Analysis

  Grant-in-Aid for Challenging Exploratory Research

  Kyushu University;Hiroshima University

  Yasuaki HIRAOKA

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  タンパク質;圧縮率;パーシステントホモロジー群;アルファ複体;最小生成元;Wasserstein距離;パーシステント・ホモロジー群;ホモロジー群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22654016/
• Numerical verifications for homo/heteroclinic orbits and their applications to partial differential equations

  Grant-in-Aid for Young Scientists (B)

  Hiroshima University

  Yasuaki HIRAOKA

  From 01 Apr. 2007, To 31 Mar. 2010, Project Closed

  力学系;精度保証付き数値計算;ホモ;ヘテロクリニック軌道;メルニコフ積分;数値検証

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740050/
• 計算ホモロジーによる流れ場構造解析法の開発とその乱流現象への応用

  Grant-in-Aid for Exploratory Research

  Hokkaido University

  坂上 貴之

  From 01 Apr. 2007, To 31 Mar. 2009, Project Closed

  計算ホモロジー;二次元クエット流;カオス;流体力学;壁乱流;力学系理論;数理流体力学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19654014/
• 空間多次元移動境界問題の数値解法の新展開

  Grant-in-Aid for Exploratory Research

  Hiroshima University

  中木 達幸

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  移動境界、自由境界、界面;空間多次元;Threshold Competition Dynamics;特異反応拡散方程式;Oil reservoir問題;多孔質媒体流;数値解法;数値的移動境界の決定;移動境界問題;ステファン問題;Porous medium方程式;特異極限

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17654027/
• 「かたち」と「うごき」を表す高次元データ記述子の開発

  Grant-in-Aid for Transformative Research Areas (A)

  Transformative Research Areas, Section (II)

  Kyoto University

  平岡 裕章

  From 16 Jun. 2022, To 31 Mar. 2027, Granted

  パーシステントホモロジー;D加群;層理論;高次元可視化;表現論;結晶基底;力学系;マグニチュードホモロジー;バーチャルリアリティ;代数解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PLANNED-22H05107/
• データ記述科学の戦略決定、拠点形成、および支援活動

  Grant-in-Aid for Transformative Research Areas (A)

  Transformative Research Areas, Section (II)

  Kyoto University

  平岡 裕章

  From 16 Jun. 2022, To 31 Mar. 2027, Granted

  データ記述科学;戦略課;拠点形成課;支援課

  https://kaken.nii.ac.jp/grant/KAKENHI-ORGANIZER-22H05104/
• Establishing data descriptive science and its cross-disciplinary applications

  Grant-in-Aid for Transformative Research Areas (A)

  From 16 Jun. 2022, To 31 Mar. 2027

  https://kaken.nii.ac.jp/grant/KAKENHI-AREA-22A201/
• Topological embedding of chromatin interactions for reconstructing DNA 3d structures

  Grant-in-Aid for JSPS Fellows

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  平岡 裕章

  From 23 Apr. 2024, To 31 Mar. 2026, Granted

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24KF0051/
• Establishing data descriptive science and its cross-disciplinary applications

  Grant-in-Aid for Transformative Research Areas (A)

  From 16 Jun. 2022, To 31 Mar. 2027

  https://kaken.nii.ac.jp/grant/KAKENHI-AREA-22A201/

External funds: others

• ロングリード1分子エピゲノム解析の支援

  AMED-BINDS

  Japan Agency for Medical Research and Development, AMED-BINDS

  From 01 Apr. 2023, To 31 Mar. 2024

  Taro Tsujimura

  Yasuaki　Hiraoka
• 未来医療を創出する4次元トポロジカルデータ解析数理基盤の開発

  探索加速型（本格研究）

  Japan Science and Technology Agency, JST-MIRAI Program

  From 01 Apr. 2023, To 31 Mar. 2024

  Takashi Sakajo

  Yasuaki Hiraoka
• ヒト新生児期、乳児期アレルギー発症に関与するTfh2反応メカニズムの解明

  AMED-CREST

  Japan Agency for Medical Research and Development, AMED-CREST

  From 01 Apr. 2023, To 31 Mar. 2024

  Hideki Ueno

  Yasuaki Hiraoka

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics D

  0559, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics C

  0558, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics D

  0559, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics C

  0558, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Graduate Lecture in Mathematical Sciences

  0409, Fall, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Mathematical Sciences

  4137, Fall, Faculty of Science, 2
• From Apr. 2019, To Mar. 2020

  Graduate Lecture in Mathematical Sciences

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Graduate Lecture in Mathematical Sciences

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Topics in Mathematical Sciences

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Oct. 2022, To Mar. 2023

  数理科学特論

  Fall, 理学研究科

Participation in PhD Defense

• Interval Approximations for Fully Commutative Quivers and Their Applications

  Chenguang Xu, Graduate School of Science, Chief Examiner

  25 Mar. 2024
• Limit theorems of persistence diagrams for random cubical filtrations

  MIYANAGA JUN, Graduate School of Science, Chief Examiner

  23 Mar. 2023
• PBW parametrizations and generalized preprojective algebras

  MURAKAMI KOUTA, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2022
• Percolation on crystal lattices and covering monotonicity of percolation clusters

  MIKAMI TATSUYA, Graduate School of Science, Chief Examiner

  23 Mar. 2022

Part-time lecturer

• From 18 Dec. 2023, To 22 Dec. 2023

  応用数理特別講義Ⅰ

  国立大学法人東京大学

Administration

Faculty management (title, position)

• From 01 Apr. 2018, To 31 Mar. 2020

  高等研究院高等研究センター長
• From 01 Apr. 2020, To 31 Mar. 2022

  高等研究院高等研究センター長
• From 01 Apr. 2022, To 31 Mar. 2024

  高等研究院高等研究センター長
• From 30 Oct. 2018, To 29 Oct. 2023

  高等研究院ヒト生物学高等研究拠点副拠点長
• From 30 Oct. 2023, To 31 Mar. 2028

  高等研究院ヒト生物学高等研究拠点副拠点長
• From 01 Apr. 2024, To 31 Mar. 2026

  高等研究院高等研究センター長

Academic, Social Contribution

Committee Memberships

• From Jul. 2020, To Present

  Editorial board member, Journal of Applied and Computational Topology