IKE YUICHI
Organization
Institute of Mathematics for Industry Division of Industrial and Mathematical Statistics Associate Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation
（Joint Appointment）
School of Engineering Department of Electrical Engineering and Computer Science（Joint Appointment）
Title
Associate Professor
Contact information
Tel
0928024406
Profile
I am mainly studying topological data analysis and microlocal sheaf theory. For topological data analysis, I am trying to develop effective methods for combining persistent homology and machine learning, such as filtration learning and optimization of persistence-based loss functions. For microlocal sheaf theory, I am interested in applying sheaf theory to symplectic geometry. I use an interleaving distance between sheaves to study the energy of Hamiltonian systems, and use the completeness of the distances to study C0 symplectic geometry.
External link
Degree
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Ph.D (mathematical science), The University of Tokyo, March 2018
Research History
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株式会社富士通研究所 2018年4月～2021年3月 富士通株式会社 2021年3月～2021年6月
株式会社富士通研究所 2018年4月～2021年3月 富士通株式会社 2021年3月～2021年6月
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東京大学 情報理工学系研究科 数理・情報教育研究センター 2021年7月～2023年4月
Research Interests・Research Keywords
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Research theme：Topological data analysis and machine learning
Keyword：persistent homology, TDA-based loss functions, filtration learning
Research period： 2018.4 - 2028.3
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Research theme：Microlocal sheaf theory and symplectic geometry
Keyword：microsupport, sheaf quanization
Research period： 2016.10 - 2025.4
Awards
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第18回若手優秀講演賞 (2021年度)
2022.6 日本応用数理学会
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研究科長賞（博士課程）
2018.3 東京大学大学院数理科学研究科
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研究科長賞（修士課程）
2015.3 東京大学大学院数理科学研究科
Papers
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Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
Tomohiro Asano, Yuichi Ike
Mathematische Annalen 2024.3
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Adaptive Topological Feature via Persistent Homology: Filtration Learning for Point Clouds Reviewed International journal
Naoki Nishikawa, Yuichi Ike, Kenji Yamanishi
Advances in Neural Information Processing Systems (NeurIPS) 36 2023.12
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Sheaf quantization and intersection of rational Lagrangian immersions Reviewed International journal
Tomohiro Asano, Yuichi Ike
Annales de l'Institut Fourier 1 - 55 2022.11
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Optimizing persistent homology based functions Reviewed
Proceedings of the 38th International Conference on Machine Learning (ICML2021) 2021.7
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Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs Reviewed
Proceedings of the 30th International Joint Conference on Artificial Intelligence (IJCAI2021) 2021.5
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PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures Reviewed
Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics (AISTATS 2020) 2020.6
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Persistence-like distance on Tamarkin's category and symplectic displacement energy Invited Reviewed International journal
Tomohiro Asano and Yuichi Ike
Journal of Symplectic Geometry 18 ( 3 ) 613 - 649 2020.6
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The γ-support as a micro-support Reviewed International journal
Tomohiro Asano, Stéphane Guillermou, Vincent Humilière, Yuichi Ike, Claude Viterbo
Comptes Rendus Mathématique 2023.12
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Dimensionality selection for hyperbolic embeddings using decomposed normalized maximum likelihood code-length
Ryo Yuki, Yuichi Ike, Kenji Yamanishi
Knowledge and Information Systems 65 ( 12 ) 5601 - 5634 2023.8
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Dimensionality Selection of Hyperbolic Graph Embeddings using Decomposed Normalized Maximum Likelihood Code-Length Reviewed International journal
Ryo Yuki, Yuichi Ike, and Kenji Yamanishi
2022 IEEE International Conference on Data Mining (ICDM) 2022.12
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Change Detection with Probabilistic Models on Persistence Diagrams Reviewed International journal
Kohei Ueda, Yuichi Ike, and Kenji Yamanishi
2022 IEEE International Conference on Data Mining (ICDM) 2022.12
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Algebraic stability theorem for derived categories of zigzag persistence modules Reviewed
Yasuaki Hiraoka, Yuichi Ike, Michio Yoshiwaki
Journal of Topology and Analysis 2022.8
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Counterfactual Explanation Trees: Transparent and Consistent Actionable Recourse with Decision Trees Reviewed International journal
Kentaro Kanamori, Takuya Takagi, Ken Kobayashi, Yuichi Ike
Proceedings of the 25th International Conference on Artificial Intelligence and Statistics (AISTATS 2022) 2022.6
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ATOL: Measure Vectorisation for Automatic Topologically-Oriented Learning Reviewed
Proceedings of the 24th International Conference on Artificial Intelligence and Statistics (AISTATS 2021) 2021.4
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Viewpoint Planning of Projector Placement for Spatial Augmented Reality using Star-Kernel Decomposition Reviewed
Takefumi Hiraki, Tomohiro Hayase, Yuichi Ike, Takashi Tsuboi, Michio Yoshiwaki
2021 IEEE Conference on Virtual Reality and 3D User Interfaces Abstracts and Workshops (VRW) 2021.4
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Ordered Counterfactual Explanation by Mixed-Integer Linear Optimization Reviewed
Kentaro Kanamori, Takuya Takagi, Ken Kobayashi, Yuichi Ike, Kento Uemura, Hiroki Arimura
Proceedings of the 35th AAAI Conference on Artificial Intelligence (AAAI2021) 2021.2
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Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization Reviewed
Yuichi Ike
Publications of the Research Institute for Mathematical Sciences 55 ( 4 ) 737 - 778 2019.10
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DTM-based filtrations Reviewed
35th International Symposium on Computational Geometry (SoCG 2019), June 2019 2019.6
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Categorical localization for the coherent-constructible correspondence Reviewed
Yuichi Ike, Tatsuki Kuwagaki
Publications of the Research Institute for Mathematical Sciences 55 ( 1 ) 1 - 24 2019.1
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磁気流体緩和法の初期条件依存性 ∼磁力線形状とエネルギー∼ Reviewed
渡邉陽太, 川畑佑典, 三浦達彦, 池祐一, 江間陽平, 剱持智哉, 松原宰栄, 米田剛, 千葉優作, 柏原崇人
数理科学実践研究レター 2018 2018.9
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磁気流体緩和法の初期条件依存性 ∼force-free alphaの空間分布∼ Reviewed
川畑佑典, 三浦達彦, 渡邉陽太, 池祐一, 江間陽平, 剱持智哉, 松原宰栄, 米田剛, 千葉優作, 柏原崇人
数理科学実践研究レター 2018 2018.8
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Reviewed
Yuichi Ike, Yutaka Matsui, Kiyoshi Takeuchi
International Mathematics Research Notices 2018 ( 15 ) 4852 - 4898 2017.3
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Microlocal Lefschetz classes of graph trace kernels Reviewed International journal
Yuichi Ike
52 ( 1 ) 83 - 101 2016.1
Books
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位相的データ解析から構造発見へ : パーシステントホモロジーを中心に
池, 祐一, Emerson Gaw Escolar, 大林, 一平, 鍛冶, 静雄
サイエンス社 2023.9
Presentations
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Sheaf quantization for the completion of the space of Lagrangians Invited
Yuichi Ike
2023.11
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Convergence of stochastic subgradient descent for persistence-based loss functions Invited International conference
Yuichi Ike
The 15th Mathematical Society of Japan-Seasonal Institute (MSJ-SI2022), Deepening and Evolution of Applied Singularity Theory 2022.11
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Topological loss functions and topological representation learning Invited International conference
Yuichi Ike
Workshop on Functional Inference and Machine Intelligence 2022 2022.3
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Microlocal sheaf theory and energy estimates in symplectic geometry Invited
2021.9
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層の圏上のパーシステンス的距離とシンプレクティック幾何における分離エネルギー Invited
池 祐一
第68回トポロジーシンポジウム 2021.8
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Persistent Homology and Machine Learning
Yuichi Ike
WORKSHOP on Mathematics for Industry 2023.9
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Stochastic subgradient descent for persistence-based functionals and automated vectorization method for persistence diagrams Invited International conference
Yuichi Ike
Asia Pacific Seminar on Applied Topology and Geometry 2020.12
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Interleaving distance for sheaves and symplectic geometry Invited International conference
Yuichi Ike
Boston-Keio-Tsinghua Workshop 2022 2022.6
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Completeness of interleaving distance on Tamarkin category and C^0-symplectic geometry Invited International conference
Yuichi Ike
2022.10
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位相的データ解析とトポロジー的損失関数の最適化 Invited
池 祐一
第12回計算力学シンポジウム 2022.12
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パーシステントホモロジーとその応用 Invited
池祐一
純粋数学者のためのデータサイエンス入門 2024.3
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池 祐一
ACT-X「数理・情報のフロンティア」第1回成果報告会 2023.4
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Interleaving distance for sheaves and displacement energy in symplectic geometry Invited International conference
Yuichi Ike
PSHT Online Seminar 2022.1
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TDA的損失関数の確率的劣勾配法に関する収束定理
池祐一
日本応用数理学会2021年度年会 2021.9
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層の圏におけるインターリービング的距離と分離エネルギー Invited
池祐一
2021.8
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TDAのニューラルネットワーク解析への応用 Invited
池 祐一
2021.8
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Convergence Result of Stochastic Subgradient Descent for Persistence-based Functions Invited International conference
Yuichi Ike
Waseda Cherry Blossom Workshop on Topological Data Science 2021.3
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Persistence-like distance on sheaf category and displacement energy Invited
2020.12
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Persistence-like distance on Tamarkin category and displacement energy Invited International conference
Yuichi Ike
2020.10
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Microlocal theory of sheaves and displacement energy
2020.9
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PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
2020.9
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層理論によるパーシステント加群へのアプローチ Invited
池 祐一
第三回理研AIP 数学系合同セミナー 2020.2
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位相的データ解析と機械学習 Invited
池祐一
愛媛大学DS研究セミナー 2024.3
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited
2015.6
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited
2015.7
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited International conference
Yuichi Ike
Microlocal Analysis and Singular Perturbation Theory 2015.10
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Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited International conference
Yuichi Ike
The sixth Japanese-Australian Workshop on Real and Complex Singularities 2015.11
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited International conference
Yuichi Ike
Workshop on Stratified Spaces: Perspectives from Analysis, Geometry and Topology 2016.8
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Categorical localization for the coherent-constructible correspondence International conference
Yuichi Ike and Tatsuki Kuwagaki
Summer school 2016 of the IMJ-PRG, Symplectic topology, sheaves and mirror symmetry 2016.6
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Categorical localization for the coherent-constructible correspondence Invited International conference
Yuichi Ike
2016.10
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Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited International conference
2016.10
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Categorical localization for the coherent-constructible correspondence Invited International conference
Workshop on mirror symmetry and related topics, Kyoto 2016 2016.12
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Compact exact Lagrangian intersection in cotangent bundles via sheaf quantization Invited International conference
2017.2
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Sheaf-theoretic approaches to symplectic geometry in cotangent bundles Invited
Seminar on geometry and related topics 2017.3
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Introduction to microlocal sheaf theory and sheaf quantization Invited
Mini Workshop on Microlocal Geometry 2017.4
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Applications of microlocal sheaf theory to symplectic geometry in cotangent bundles Invited
2017.6
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Persistence-like distance on Tamarkin's category and symplectic displacement energy Invited
2018.1
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Microlocal Hofer distance and displacement energy Invited
Symplectic geometry and around 2018.3
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超局所層理論と幾何学 Invited
池 祐一
若者のための現代幾何入門 2018.6
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層コボルディズムとTamarkin圏における距離 Invited
池 祐一
2019.11
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Topological data analysis from a practical and mathematical perspective Invited
Yuichi Ike
iTHEMS Math Seminar 2020.7
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層理論とその応用 Invited
池 祐一
2020.10
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位相的データ解析と機械学習 Invited
池 祐一
東京大学数理情報学談話会 2022.3
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位相的データ解析と機械学習への応用 Invited
池 祐一
金沢創発数理セミナー 2022.6
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RipsNet: fast and robust estimation of persistent homology for point clouds Invited International conference
Yuichi Ike
AATRN Applied Topology Seminar 2022.6
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Topological loss functions and topological representation learning Invited International conference
Yuichi Ike
The 2nd POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning 2022.9
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Interleaving for sheaves and quantitative problems in symplectic geometry Invited International conference
Yuichi Ike
2022.10
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Tamarkin圏におけるインターリービング距離の完備性とC0シンプレクティック幾何への応用 Invited
池 祐一
2022.11
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パーシステントホモロジーと機械学習 Invited
池 祐一
2023.1
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Interleaving Distance for Sheaves and Symplectic Geometry Invited International conference
Yuichi Ike
USTC-IGP Geometry & Topology seminar 2023.4
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層のインターリービング距離とシンプレクティック幾何学におけるエネルギー Invited
池 祐一
九大幾何学・トポロジー合同セミナー 2023.4
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超局所層理論とシンプレクティック幾何学 Invited
池祐一
杉本代数セミナー 2023.6
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位相的データ解析に基づく損失関数とその最適化について Invited
池祐一
日本応用数理学会連続最適化研究部会第2回研究会 2023.7
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The completion of the space of Lagrangians and sheaves Invited
Yuichi Ike
USC Topology Seminar 2023.9
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The completion of the space of Lagrangians and sheaves
Yuichi Ike
UCLA Topology Seminar 2023.9
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パーシステントホモロジーと機械学習 Invited
池祐一
ipi-ダイキン シンポジウム 2023.10
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位相的データ解析とその応用
池祐一
統計数学×情報×物質セミナー 2023.11
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パーシステントホモロジーと機械学習 Invited
池祐一
ディープラーニングと物理学/学習物理領域セミナー 2024.2
MISC
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パーシステントホモロジーと機械学習
池 祐一
雑誌「数理科学」 2023.5
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位相的データ解析と機械学習への応用 Reviewed
池 祐一
応用数理 2022.9
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Microlocal sheaf theory and energy estimates in symplectic geometry
2021.8
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層の圏上のパーシステンス的距離とシンプレクティック幾何における分離エネルギー
池 祐一
第68回トポロジーシンポジウム 2021.8
Industrial property rights
| Patent | Number of applications: 1 | Number of registrations: 2 |
| Utility model | Number of applications: 0 | Number of registrations: 0 |
| Design | Number of applications: 0 | Number of registrations: 0 |
| Trademark | Number of applications: 0 | Number of registrations: 0 |
Professional Memberships
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The Japan Society for Industrial and Applied Mathematics
Committee Memberships
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Steering committee member Domestic
2023.4 - 2025.3
Academic Activities
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組織委員
研究集会 Geometry and Topology （ 九州大学 数理学研究院 ） 2023.6
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企画立案・運営等, パネル司会・セッションチェア等
応用のためのトポロジカルデータ解析チュートリアル＆ワークショップ （ オンライン ） 2020.6
Other
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FMSP course student
2013.10
Research Projects
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「かたち」と「うごき」を表す高次元データ記述子の開発
Grant number：22H05107 2022 - 2026
日本学術振興会・文部科学省 科学研究費助成事業 学術変革領域研究(A)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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シンプレクティック幾何学・位相的データ解析の層理論による深化
Grant number：21K13801 2021 - 2024
日本学術振興会 科学研究費助成事業 若手研究
Authorship：Principal investigator Grant type：Scientific research funding
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幾何的アプローチによる革新的なデータ解析の研究
2019 - 2021
戦略的創造研究推進事業 (文部科学省)
Authorship：Principal investigator Grant type：Contract research
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代数解析的手法による指数定理の研究
Grant number：15J07993 2015 - 2017
日本学術振興会 科学研究費助成事業 特別研究員奨励費
Authorship：Principal investigator Grant type：Scientific research funding
Educational Activities
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I am in charge of School of Engineering, Department of Mathematics, Graduate School of Mathematics, and Joint Graduate School of Mathematics for Innovation. Educational activities are conducted through lectures and seminars.
Class subject
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常微分方程式とラプラス変換（電情EC）
2023.10 - 2024.3 Second semester
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数学共創基礎Ⅱ
2023.6 - 2023.8 Summer quarter
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常微分方程式とラプラス変換
2023.4 - 2023.9 First semester
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
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2024 新潟大学 自然科学系 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：2024年5月7日～10日
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2024 東京大学大学院数理科学研究科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：2024年5月20日～24日
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2021 東京都立大学 理学研究科 数理科学科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：2021年10月5日，7日，8日
Outline of Social Contribution and International Cooperation activities
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I have developed some techniques for topological data analysis and counterfactual explanations that can be applied to real-world situations, through joint research with companies.
Social Activities
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産業数理統計チュートリアル 位相的データ解析
九州大学マス・フォア・インダストリ研究所 2023.12
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トポロジカルデータ解析～かたちのデータサイエンス～
数学カフェ 2023.11
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JST/CRDS俯瞰ワークショップ（WS）座談会 数学と産業界のこれから
日本評論社 2022.3
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第34回数学カフェ 講演，D加群の理論とその広がり
NPO法人 数学カフェ 2021.4
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Mathpower2018 フィールズ賞&チャーン賞が分かりたい 講演
株式会社すうがくぶんか 2018.10
Activities contributing to policy formation, academic promotion, etc.
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2022.9 Université Grenoble Alpes
Jury of doctoral thesis
Travel Abroad
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2023.9
Staying countory name 1：United States Staying institution name 1：University of Southern California