Updated on 2024/10/02

Information

 

写真a

 
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
メールアドレス
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.
Homepage
External link

Degree

  • Ph.D (mathematical science), The University of Tokyo, March 2018

Research History

  • 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

  • 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

  • Research theme：Topological data analysis and machine learning

    Keyword：persistent homology, TDA-based loss functions, filtration learning

    Research period： 2018.4 - 2028.3

  • Research theme：Microlocal sheaf theory and symplectic geometry

    Keyword：microsupport, sheaf quanization

    Research period： 2016.10 - 2025.4

Awards

  • 第18回若手優秀講演賞 (2021年度)

    2022.6   日本応用数理学会  

  • 第18回若手優秀講演賞 (2021年度)

    2022.6   The Japan society for industrial and applied mathematics  

    Yuichi Ike

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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  

  • 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

  • Completeness of derived interleaving distances and sheaf quantization of non-smooth objects

    Tomohiro Asano, Yuichi Ike

    Mathematische Annalen   2024.3   （ ISSN:0025-5831 eISSN:1432-1807 ）

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    Language：Others   Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

    DOI： 10.1007/s00208-024-02815-x

    Web of Science

    Scopus

    arXiv

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    Other Link： https://link.springer.com/article/10.1007/s00208-024-02815-x/fulltext.html

  • Adaptive Topological Feature via Persistent Homology: Filtration Learning for Point Clouds Reviewed

    Naoki Nishikawa, Yuichi Ike, Kenji Yamanishi

    Advances in Neural Information Processing Systems 36 (NeurIPS 2023)   2023

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    Publishing type：Research paper (international conference proceedings)  

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    Other Link： https://dblp.uni-trier.de/rec/conf/nips/2023

  • Sheaf quantization and intersection of rational Lagrangian immersions Reviewed International journal

    Tomohiro Asano, Yuichi Ike

    Annales de l'Institut Fourier   73 ( 4 )   1 - 55   2022.11   （ ISSN:1777-5310 eISSN:1777-5310 ）

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Cellule {MathDoc}/{CEDRAM}  

    DOI： 10.5802/aif.3554

    Scopus

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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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    Language：English  

  • 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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    Language：Others  

    Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs

  • 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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    Language：Others   Publishing type：Research paper (other academic)  

    PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

  • 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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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://dx.doi.org/10.4310/JSG.2020.v18.n3.a1

  • MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Deep Neural Networks Reviewed

    Felix Hensel, Charles Arnal, Mathieu Carrière, Théo Lacombe, Hiroaki Kurihara, Yuichi Ike, Frédéric Chazal

    Transactions on Machine Learning Research (TMLR)   2024.5

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    Language：English  

    Despite their successful application to a variety of tasks, neural networks
    remain limited, like other machine learning methods, by their sensitivity to
    shifts in the data: their performance can be severely impacted by differences
    in distribution between the data on which they were trained and that on which
    they are deployed. In this article, we propose a new family of representations,
    called MAGDiff, that we extract from any given neural network classifier and
    that allows for efficient covariate data shift detection without the need to
    train a new model dedicated to this task. These representations are computed by
    comparing the activation graphs of the neural network for samples belonging to
    the training distribution and to the target distribution, and yield powerful
    data- and task-adapted statistics for the two-sample tests commonly used for
    data set shift detection. We demonstrate this empirically by measuring the
    statistical powers of two-sample Kolmogorov-Smirnov (KS) tests on several
    different data sets and shift types, and showing that our novel representations
    induce significant improvements over a state-of-the-art baseline relying on the
    network output.

    arXiv

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    Other Link： http://arxiv.org/pdf/2305.13271v1

  • アルゴリズム的償還を考慮した決定木学習

    金森 憲太朗, 高木 拓也, 小林 健, 池 祐一

    人工知能学会研究会資料 人工知能基本問題研究会   128 ( 0 )   34 - 39   2024.3   （ eISSN:24364584 ）

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    Language：Japanese   Publisher：一般社団法人 人工知能学会  

    DOI： 10.11517/jsaifpai.128.0_34

    CiNii Research

  • Learning Decision Trees and Forests with Algorithmic Recourse

    Kanamori K., Takagi T., Kobayashi K., Ike Y.

    Proceedings of Machine Learning Research   235   22936 - 22962   2024

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    Publisher：Proceedings of Machine Learning Research  

    This paper proposes a new algorithm for learning accurate tree-based models while ensuring the existence of recourse actions. Algorithmic Recourse (AR) aims to provide a recourse action for altering the undesired prediction result given by a model. Typical AR methods provide a reasonable action by solving an optimization task of minimizing the required effort among executable actions. In practice, however, such actions do not always exist for models optimized only for predictive performance. To alleviate this issue, we formulate the task of learning an accurate classification tree under the constraint of ensuring the existence of reasonable actions for as many instances as possible. Then, we propose an efficient top-down greedy algorithm by leveraging the adversarial training techniques. We also show that our proposed algorithm can be applied to the random forest, which is known as a popular framework for learning tree ensembles. Experimental results demonstrated that our method successfully provided reasonable actions to more instances than the baselines without significantly degrading accuracy and computational efficiency.

    Scopus

  • 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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    Language：English   Publishing type：Research paper (scientific journal)  

    Repository Public URL： https://hdl.handle.net/2324/7174352

  • 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   （ ISSN:0219-1377 eISSN:0219-3116 ）

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    Language：Others   Publishing type：Research paper (scientific journal)   Publisher：Springer Science and Business Media LLC  

    Abstract

    Graph embedding methods are effective techniques for representing nodes and their relations in a continuous space. Specifically, the hyperbolic space is more effective than the Euclidean space for embedding graphs with tree-like structures. Thus, it is critical how to select the best dimensionality for the hyperbolic space in which a graph is embedded. This is because we cannot distinguish nodes well with dimensionality that is considerably low, whereas the embedded relations are affected by irregularities in data with excessively high dimensionality. We consider this problem from the viewpoint of statistical model selection for latent variable models. Thereafter, we propose a novel methodology for dimensionality selection based on the minimum description length principle. We aim to introduce a latent variable modeling of hyperbolic embeddings and apply the decomposed normalized maximum likelihood code-length to latent variable model selection. We empirically demonstrated the effectiveness of our method using both synthetic and real-world datasets.

    DOI： 10.1007/s10115-023-01934-2

    Web of Science

    Scopus

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    Other Link： https://link.springer.com/article/10.1007/s10115-023-01934-2/fulltext.html

  • The γ-support as a micro-support

    Asano T., Guillermou S., Humilière V., Ike Y., Viterbo C.

    Comptes Rendus Mathematique   361   1333 - 1340   2023   （ ISSN:1631073X ）

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    Publisher：Comptes Rendus Mathematique  

    We prove that for any element L in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the γ-support of L coincides with the reduced micro-support of its sheaf quantization. As an application, we give a characterization of the Vichery subdifferential in terms of γ-support.

    DOI： 10.5802/CRMATH.499

    Scopus

  • 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-November   666 - 675   2022.12   （ ISSN:15504786 ISBN:9781665450997 ）

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    Language：English   Publishing type：Research paper (international conference proceedings)   Publisher：IEEE  

    DOI： 10.1109/ICDM54844.2022.00077

    Scopus

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    Other Link： https://dblp.uni-trier.de/db/conf/icdm/icdm2022.html#YukiIY22

  • 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-November   1191 - 1196   2022.12   （ ISSN:15504786 ISBN:9781665450997 ）

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    Language：English   Publishing type：Research paper (international conference proceedings)   Publisher：IEEE  

    DOI： 10.1109/ICDM54844.2022.00153

    Scopus

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    Other Link： https://dblp.uni-trier.de/db/conf/icdm/icdm2022.html#UedaIY22

  • 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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    Language：English  

  • 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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    Language：Japanese   Publishing type：Research paper (international conference proceedings)  

  • RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds Reviewed

    de Surrel, Thibault, Hensel, Felix, Carrière, Mathieu, Lacombe, Théo, Ike, Yuichi, Kurihara, Hiroaki, Glisse, Marc, Chazal, Frédéric

    Proceedings of Topological, Algebraic, and Geometric Learning Workshops 2022   196   96 - 106   2022

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    Language：English   Publisher：arXiv  

    The use of topological descriptors in modern machine learning applications,
    such as Persistence Diagrams (PDs) arising from Topological Data Analysis
    (TDA), has shown great potential in various domains. However, their practical
    use in applications is often hindered by two major limitations: the
    computational complexity required to compute such descriptors exactly, and
    their sensitivity to even low-level proportions of outliers. In this work, we
    propose to bypass these two burdens in a data-driven setting by entrusting the
    estimation of (vectorization of) PDs built on top of point clouds to a neural
    network architecture that we call RipsNet. Once trained on a given data set,
    RipsNet can estimate topological descriptors on test data very efficiently with
    generalization capacity. Furthermore, we prove that RipsNet is robust to input
    perturbations in terms of the 1-Wasserstein distance, a major improvement over
    the standard computation of PDs that only enjoys Hausdorff stability, yielding
    RipsNet to substantially outperform exactly-computed PDs in noisy settings. We
    showcase the use of RipsNet on both synthetic and real-world data. Our
    open-source implementation is publicly available at
    https://github.com/hensel-f/ripsnet and will be included in the Gudhi library.

    DOI： 10.48550/ARXIV.2202.01725

    arXiv

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    Other Link： http://arxiv.org/pdf/2202.01725v1

  • Counterfactual Explanation Trees: Transparent and Consistent Actionable Recourse with Decision Trees.

    Kentaro Kanamori, Takuya Takagi, Ken Kobayashi, Yuichi Ike

    International Conference on Artificial Intelligence and Statistics(AISTATS)   1846 - 1870   2022

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    Publishing type：Research paper (international conference proceedings)   Publisher：PMLR  

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    Other Link： https://dblp.uni-trier.de/rec/conf/aistats/2022

  • Counterfactual Explanation Trees: Transparent and Consistent Actionable Recourse with Decision Trees

    Kanamori K., Takagi T., Kobayashi K., Ike Y.

    Proceedings of Machine Learning Research   151   1846 - 1870   2022

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    Publisher：Proceedings of Machine Learning Research  

    Counterfactual Explanation (CE) is a post-hoc explanation method that provides a perturbation for altering the prediction result of a classifier. An individual can interpret the perturbation as an “action” to obtain the desired decision results. Existing CE methods focus on providing an action, which is optimized for a given single instance. However, these CE methods do not address the case where we have to assign actions to multiple instances simultaneously. In such a case, we need a framework of CE that assigns actions to multiple instances in a transparent and consistent way. In this study, we propose Counterfactual Explanation Tree (CET) that assigns effective actions with decision trees. Due to the properties of decision trees, our CET has two advantages: (1) Transparency: the reasons for assigning actions are summarized in an interpretable structure, and (2) Consistency: these reasons do not conflict with each other. We learn a CET in two steps: (i) compute one effective action for multiple instances and (ii) partition the instances to balance the effectiveness and interpretability. Numerical experiments and user studies demonstrated the efficacy of our CET in comparison with existing methods.

    Scopus

  • 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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    Language：Others  

  • 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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    Language：Others   Publishing type：Research paper (other academic)  

    Viewpoint Planning of Projector Placement for Spatial Augmented Reality using Star-Kernel Decomposition

  • 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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    Language：English   Publishing type：Research paper (other academic)  

  • 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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    Language：English   Publishing type：Research paper (scientific journal)  

    Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization

  • DTM-based filtrations Reviewed

    35th International Symposium on Computational Geometry (SoCG 2019), June 2019   2019.6

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    Language：Others   Publishing type：Research paper (other academic)  

    DTM-based filtrations

  • 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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    Language：Others   Publishing type：Research paper (scientific journal)  

    Categorical localization for the coherent-constructible correspondence

    DOI： 10.4171/PRIMS/55-1-1

  • 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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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • 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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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • 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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    Language：Others   Publishing type：Research paper (scientific journal)  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

  • Microlocal Lefschetz classes of graph trace kernels Reviewed International journal

    Yuichi Ike

    Publications of the Research Institute for Mathematical Sciences   52 ( 1 )   83 - 101   2016.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.4171/PRIMS/175

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Books

  • 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 

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    Responsible for pages：総ページ数：x, 257p   Language：Japanese  

    エスカラ氏・大林氏・鍛冶氏と共著で，パーシステントホモロジーを中心とした位相的データ解析の専門書（教科書）を執筆し出版した．本書は，パーシステントホモロジーの概略・使い方，数理的基礎・アルゴリズム，パーシステントホモロジーの代数的構造，応用に有用な理論，パーシステントホモロジーの応用例（点群データ・画像データ・ネットワークデータ），まとめと展望という構成になっている．数学・情報・物質科学など，どの層の研究者・学生が読んでも有用である部分が存在するように工夫した．そのために，数学的基礎を詳しく説明するとともに，応用については最新の話題を盛り込むように心がけた．

Presentations

  • Sheaf quantization for the completion of the space of Lagrangians Invited

    Yuichi Ike

    2023.11 

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    Event date： 2023.11

    Language：English  

    Country：Other  

    Sheaf quantization for the completion of the space of Lagrangians

  • 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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    Event date： 2022.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Convergence of stochastic subgradient descent for persistence-based loss functions

    Other Link： https://sites.google.com/view/MSJ-SI2022/

  • Convergence of stochastic subgradient descent for persistence-based loss functions Invited

    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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    Event date： 2022.11

    Language：English   Presentation type：Oral presentation (general)  

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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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    Event date： 2022.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Topological loss functions and topological representation learning

    Other Link： https://ismseminar.github.io/fimi2022/

  • Topological loss functions and topological representation learning Invited

    Yuichi Ike

    Workshop on Functional Inference and Machine Intelligence 2022  2022.3 

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    Event date： 2022.3

    Language：English   Presentation type：Oral presentation (general)  

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  • Microlocal sheaf theory and energy estimates in symplectic geometry Invited

    2021.9 

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    Event date： 2021.8 - 2021.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Microlocal sheaf theory and energy estimates in symplectic geometry

  • 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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    Event date： 2021.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Persistent Homology and Machine Learning

    Yuichi Ike

    WORKSHOP on Mathematics for Industry  2023.9 

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    Language：English  

    Country：Other  

    Persistent Homology and Machine Learning

  • 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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    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Stochastic subgradient descent for persistence-based functionals and automated vectorization method for persistence diagrams

    Other Link： https://sites.google.com/kyoto-u.ac.jp/apatg/past-seminars

  • Interleaving distance for sheaves and symplectic geometry Invited International conference

    Yuichi Ike

    Boston-Keio-Tsinghua Workshop 2022  2022.6 

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    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Interleaving distance for sheaves and symplectic geometry

    Other Link： http://math.bu.edu/BKT2022/

  • Completeness of interleaving distance on Tamarkin category and C^0-symplectic geometry Invited International conference

    Yuichi Ike

    2022.10 

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    Language：English   Presentation type：Oral presentation (general)  

    Country：France  

    Other Link： http://symplectix.blogspot.com/2022/09/symplectix-7-octobre-2022.html

  • 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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    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 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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    Language：Japanese  

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  • Interleaving distance for sheaves and symplectic geometry Invited

    Yuichi Ike

    Boston-Keio-Tsinghua Workshop 2022  2022.6 

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    Language：English   Presentation type：Oral presentation (general)  

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  • Completeness of interleaving distance on Tamarkin category and C^0-symplectic geometry Invited

    Yuichi Ike

    Séminaire symplectix  2022.10 

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    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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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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    Event date： 2024.3

    Language：Others  

    Country：Other  

  • 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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    Event date： 2024.3

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • Sheaf quantization for the completion of the space of Lagrangians Invited

    Yuichi Ike

    Various problems in microlocal analysis and asymptotic analysis  2023.11 

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    Event date： 2023.11

    Language：English  

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  • TDA的損失関数の最適化について

    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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    Event date： 2023.4

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Interleaving distance for sheaves and displacement energy in symplectic geometry Invited International conference

    Yuichi Ike

    PSHT Online Seminar  2022.1 

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    Event date： 2022.1

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Interleaving distance for sheaves and displacement energy in symplectic geometry

    Other Link： https://nberkouk.github.io/psht.html

  • Interleaving distance for sheaves and displacement energy in symplectic geometry Invited

    Yuichi Ike

    PSHT Online Seminar,  2022.1 

    　More details

    Event date： 2022.1

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • 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 

    　More details

    Event date： 2021.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 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 

    　More details

    Event date： 2021.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 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 

    　More details

    Event date： 2021.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 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 

    　More details

    Event date： 2021.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Persistence-like distance on sheaf category and displacement energy Invited

    2020.12 

    　More details

    Event date： 2020.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Persistence-like distance on sheaf category and displacement energy

  • Persistence-like distance on Tamarkin category and displacement energy Invited International conference

    Yuichi Ike

    2020.10 

    　More details

    Event date： 2020.10

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Persistence-like distance on Tamarkin category and displacement energy

    Other Link： http://symplectix.blogspot.com/2020/09/symplectix-2-octobre-2020.html

  • Microlocal theory of sheaves and displacement energy

    2020.9 

    　More details

    Event date： 2020.9

    Language：Japanese  

    Country：Japan  

    Microlocal theory of sheaves and displacement energy

  • PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

    2020.9 

    　More details

    Event date： 2020.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

    Other Link： https://annual2020.jsiam.org/en/6185

  • 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 

    　More details

    Event date： 2020.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：マホロバマインズ三浦（三浦市）   Country：Japan  

  • 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 

    　More details

    Language：Others  

    Country：Other  

  • Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited

    2015.6 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

  • Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited

    2015.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

  • 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 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

  • 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 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Lefschetz fixed point formulas for higher-dimensional fixed point sets

    Other Link： http://www.rimath.saitama-u.ac.jp/lab.jp/Fukui/JARCS6/JARCS6.html

  • 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 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Canada  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

    Other Link： http://www.fields.utoronto.ca/activities/workshops/workshop-stratified-spaces-perspectives-analysis-geometry-and-topology

  • 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 

    　More details

    Language：English  

    Country：France  

    Categorical localization for the coherent-constructible correspondence

    Other Link： http://school2016.imj-prg.fr/abstract.html

  • Categorical localization for the coherent-constructible correspondence Invited International conference

    Yuichi Ike

    2016.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：France  

    Categorical localization for the coherent-constructible correspondence

    Other Link： http://symplectix.blogspot.com/2016/09/seance-du-7-octobre-2016.html

  • Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets Invited International conference

    2016.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：France  

    Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

  • Categorical localization for the coherent-constructible correspondence Invited International conference

    Workshop on mirror symmetry and related topics, Kyoto 2016  2016.12 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Categorical localization for the coherent-constructible correspondence

  • Compact exact Lagrangian intersection in cotangent bundles via sheaf quantization Invited International conference

    2017.2 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Compact exact Lagrangian intersection in cotangent bundles via sheaf quantization

    Other Link： https://www.sci.kagoshima-u.ac.jp/nakaoka/12thAAG_en.html

  • Sheaf-theoretic approaches to symplectic geometry in cotangent bundles Invited

    Seminar on geometry and related topics  2017.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Sheaf-theoretic approaches to symplectic geometry in cotangent bundles

  • Introduction to microlocal sheaf theory and sheaf quantization Invited

    Mini Workshop on Microlocal Geometry  2017.4 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Introduction to microlocal sheaf theory and sheaf quantization

    Other Link： http://www.math.nagoya-u.ac.jp/~ohta/conference/conference2017_1/index.html

  • Applications of microlocal sheaf theory to symplectic geometry in cotangent bundles Invited

    2017.6 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Applications of microlocal sheaf theory to symplectic geometry in cotangent bundles

  • Persistence-like distance on Tamarkin's category and symplectic displacement energy Invited

    2018.1 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Persistence-like distance on Tamarkin's category and symplectic displacement energy

    Other Link： http://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/17_2_e.html

  • Microlocal Hofer distance and displacement energy Invited

    Symplectic geometry and around  2018.3 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Microlocal Hofer distance and displacement energy

  • 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 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京大学大学院数理科学研究科（目黒区）   Country：Japan  

  • 層コボルディズムとTamarkin圏における距離 Invited

    池 祐一

    2019.11 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：名古屋大学（名古屋市）   Country：Japan  

  • Topological data analysis from a practical and mathematical perspective Invited

    Yuichi Ike

    iTHEMS Math Seminar  2020.7 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Topological data analysis from a practical and mathematical perspective

    Other Link： https://ithems.riken.jp/en/events/topological-data-analysis-practical-and-mathematical-perspective

  • 層理論とその応用 Invited

    池 祐一

    2020.10 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

    Other Link： https://sites.google.com/view/uda-0x-seminar/home/0x02

  • 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 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 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 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：金沢大学（金沢市）   Country：Japan  

  • RipsNet: fast and robust estimation of persistent homology for point clouds Invited International conference

    Yuichi Ike

    AATRN Applied Topology Seminar  2022.6 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    RipsNet: fast and robust estimation of persistent homology for point clouds

    Other Link： https://www.aatrn.net/seminar

  • 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 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Other Link： https://sites.google.com/view/2022-tda-ml/home

  • Interleaving for sheaves and quantitative problems in symplectic geometry Invited International conference

    Yuichi Ike

    2022.10 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：France  

    Other Link： https://www.math.sciences.univ-nantes.fr/fr/seminaires/tga_tous

  • 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 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：名古屋大学（名古屋市）   Country：Japan  

  • パーシステントホモロジーと機械学習 Invited

    池 祐一

    2023.1 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：一橋講堂（千代田区）   Country：Japan  

  • Interleaving Distance for Sheaves and Symplectic Geometry Invited International conference

    Yuichi Ike

    USTC-IGP Geometry & Topology seminar  2023.4 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Interleaving Distance for Sheaves and Symplectic Geometry

    Other Link： http://en.igp.ustc.edu.cn/News2/list.htm

  • 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 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学（福岡市）   Country：Japan  

  • 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 

    　More details

    Language：Japanese  

    Country：Other  

  • 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 

    　More details

    Language：Japanese  

    Country：Other  

  • The completion of the space of Lagrangians and sheaves Invited

    Yuichi Ike

    USC Topology Seminar  2023.9 

    　More details

    Language：English  

    Country：Other  

    The completion of the space of Lagrangians and sheaves

  • The completion of the space of Lagrangians and sheaves

    Yuichi Ike

    UCLA Topology Seminar  2023.9 

    　More details

    Language：English  

    Country：Other  

    The completion of the space of Lagrangians and sheaves

  • 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 

    　More details

    Language：Japanese  

    Country：Other  

  • 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 

    　More details

    Language：Others  

    Country：Other  

  • 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 

    　More details

    Language：Others  

    Country：Other  

  • 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 

    　More details

  • 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 

    　More details

    Language：Japanese  

    researchmap

  • Persistent homology and machine learning Invited

    Yuichi Ike

    Topology Meets Data  2023.1 

    　More details

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    researchmap

  • γ-supports and sheaves

    Yuichi Ike

    Tuesday Seminar on Topology  2024.5 

    　More details

  • Topological loss functions and topological representation learning Invited

    Yuichi Ike

    The 2nd POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning  2022.9 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

    researchmap

  • The completion of the space of Lagrangians and sheaves Invited

    Yuichi Ike

    USC Topology Seminar  2023.9 

    　More details

    Language：English  

    researchmap

  • The completion of the space of Lagrangians and sheaves

    Yuichi Ike

    UCLA Topology Seminar  2023.9 

    　More details

    Language：English  

    researchmap

  • TDA的損失関数の最適化について

    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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    Presentation type：Poster presentation  

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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

    One Day Workshop on Symplectic Geometry and Related Topics  2022.11 

    　More details

    Language：Japanese  

    researchmap

  • Topological data analysis and its applications to machine learning Invited

    Yuichi Ike

    2022.6 

    　More details

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • 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 

    　More details

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • Topological Data Analysis and Machine Learning

    Yuichi Ike

    2022.3 

    　More details

  • 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 

    　More details

  • RipsNet: fast and robust estimation of persistent homology for point clouds Invited

    Yuichi Ike

    AATRN Applied Topology Seminar  2022.6 

    　More details

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • Persistent Homology and Machine Learning

    Yuichi Ike

    WORKSHOP on Mathematics for Industry  2023.9 

    　More details

    Language：English  

    researchmap

  • Interleaving for sheaves and quantitative problems in symplectic geometry Invited

    Yuichi Ike

    Séminaire de topologie, géométrie et algèbre  2022.10 

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    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    researchmap

  • Interleaving Distance for Sheaves and Symplectic Geometry Invited

    Yuichi Ike

    USTC-IGP Geometry & Topology seminar  2023.4 

    　More details

    Presentation type：Oral presentation (general)  

    researchmap

  • 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 

    　More details

    Language：Japanese  

    researchmap

  • 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

    池祐一

    九大幾何学・トポロジー合同セミナー  2023.4 

    　More details

    Presentation type：Oral presentation (general)  

    researchmap

  • 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 

    　More details

    Language：Japanese  

    researchmap

▼display all

MISC

  • 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

    　More details

    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • 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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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • Microlocal sheaf theory and energy estimates in symplectic geometry

    2021.8

    　More details

    Language：Japanese   Publishing type：Internal/External technical report, pre-print, etc.  

  • 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

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    Language：Japanese   Publishing type：Internal/External technical report, pre-print, etc.  

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

  • The Japan Society for Industrial and Applied Mathematics

Committee Memberships

  • 日本応用数理学会   若手の会 運営委員  

    2023.4 - Present   

    　 More details

    Committee type：Academic society

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  • Steering committee member   Domestic

    2023.4 - 2025.3   

Academic Activities

  • 組織委員

    研究集会 Geometry and Topology  （ 九州大学 数理学研究院 ） 2023.6

    　More details

    Type：Competition, symposium, etc. 

  • Conference Geometry and Topology

    Role(s)： Planning, management, etc.,　Panel moderator, session chair, etc.

    2023.6

    　More details

    Type：Academic society, research group, etc. 

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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

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    Type：Competition, symposium, etc. 

Other

  • FMSP course student

    2013.10

Research Projects

  • 「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)

    平岡 裕章, 石井 豊, 池 祐一, 落合 啓之

    　 More details

    Authorship：Coinvestigator(s)  Grant type：Scientific research funding

    現代社会に氾濫する高次元データは，その構造を直接「見る」ことができない．低次元空間への射影や断面を用いる従来法からは，構造の直感的理解を得ることは難しく，さらには幾何・トポロジー構造が潰されたものになる問題点もある．そこで本研究では，高次元データを直感的に知覚できるデータ記述子の開発を目標に据えた，以下の３テーマを実施する．
    テーマ１：バーチャルリアリティ（VR）を用いたインタラクティブな高次元可視化の数理
    テーマ２：パーシステントホモロジーの代数解析・代数幾何的研究とその応用
    テーマ３：マグニチュードホモロジーの自然言語処理・オミックスデータ解析への応用

    CiNii Research

  • 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

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • 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)

    　 More details

    Authorship：Principal investigator  Grant type：Contract research

  • 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

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    Authorship：Principal investigator  Grant type：Scientific research funding

Educational Activities

  • 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

  • 常微分方程式とラプラス変換（電情EC）

    2023.10 - 2024.3   Second semester

  • 数学共創基礎Ⅱ

    2023.6 - 2023.8   Summer quarter

  • 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.

  • 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

  • 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

  • 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

  • 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

  • 位相的データ解析

    Role(s)： Lecturer

    九州大学マス・フォア・インダストリ研究所  産業数理統計チュートリアル  2023.12

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    Type：Seminar, workshop

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    Type：Lecture

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Activities contributing to policy formation, academic promotion, etc.

  • 2022.9   Université Grenoble Alpes

    Jury of doctoral thesis

Travel Abroad

  • 2023.9

    Staying countory name 1：United States   Staying institution name 1：University of Southern California