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Algebraic Structures in Weakly Supervised Disentangled Representation Learning

Research Project

Project/Area Number 22KJ0880
Project/Area Number (Other) 22J12703 (2022)
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeMulti-year Fund (2023)
Single-year Grants (2022)
Section国内
Review Section Basic Section 61030:Intelligent informatics-related
Research InstitutionThe University of Tokyo

Principal Investigator

張 一凡  東京大学, 情報理工学系研究科, 特別研究員(DC2)

Project Period (FY) 2023-03-08 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 2023: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2022: ¥900,000 (Direct Cost: ¥900,000)
KeywordsMachine Learning / Category Theory / 機械学習 / 圏論 / machine learning / disentanglement / category theory
Outline of Research at the Start

We aim to develop theoretical tools and practical algorithms for learning abstract and meaningful representations from data. Our findings can help researchers choose the most appropriate definition of disentanglement for their specific task and discover better metrics, models, and algorithms.

Outline of Annual Research Achievements

In this project, our primary objective was to develop theoretical frameworks and practical algorithms for acquiring abstract and meaningful representations in machine learning. Our focus centered on the concept of disentanglement, aiming to provide researchers with tools to analyze and quantify the degree of disentanglement achieved by different models across various scenarios.
Our research began with a comprehensive meta-analysis of existing definitions of disentanglement in machine learning. This analysis provided us with valuable insights into the diverse perspectives and approaches within the field. Building upon this foundation, we proposed a new theoretical framework for converting disentanglement definitions into quantitative metrics. Leveraging concepts from topos theory and enriched category theory, we introduced tools to analyze disentanglement and assess model performance.
We developed a novel theoretical framework that bridges the gap between disentanglement definitions and quantitative metrics. By leveraging concepts from topos theory and enriched category theory, we provided a structured approach for analyzing disentanglement across different scenarios.
In addition to theoretical advancements, we also developed practical algorithms to implement and apply our theoretical frameworks. These algorithms enable researchers to assess the degree of disentanglement achieved by their models and select evaluation metrics of disentanglement for their specific tasks.

Report

(2 results)
  • 2023 Annual Research Report
  • 2022 Annual Research Report
  • Research Products

    (10 results)

All 2023 2022

All Journal Article (1 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (7 results) (of which Int'l Joint Research: 6 results,  Invited: 3 results) Funded Workshop (2 results)

  • [Journal Article] A Category-theoretical Meta-analysis of Definitions of Disentanglement2023

    • Author(s)
      Yivan Zhang, Masashi Sugiyama
    • Journal Title

      Proceedings of Machine Learning Research

      Volume: 202 Pages: 41596-41612

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] A Category-theoretical Meta-analysis of Definitions of Disentanglement2023

    • Author(s)
      Yivan Zhang
    • Organizer
      International Conference on Machine Learning 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Compositionality and Disentanglement: A Categorical Perspective2023

    • Author(s)
      Yivan Zhang
    • Organizer
      International Workshop on Symbolic-Neural Learning 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Weakly Supervised Disentanglement2023

    • Author(s)
      Yivan Zhang
    • Organizer
      International Workshop on Weakly Supervised Learning (WSL) 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Categorification of Disentangled Representation Learning2023

    • Author(s)
      Yivan Zhang
    • Organizer
      Workshop on Mathematical Foundations of Machine Learning
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Categorification of Disentangled Representation Learning2023

    • Author(s)
      Yivan Zhang
    • Organizer
      Workshop on Future Algorithms and Applications
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Categorification of Disentangled Representation Learning2023

    • Author(s)
      Yivan Zhang
    • Organizer
      第26回情報論的学習理論ワークショップ (IBIS2023)
    • Related Report
      2023 Annual Research Report
  • [Presentation] A Category-theoretical Meta-analysis of Definitions of Disentanglement2023

    • Author(s)
      Yivan Zhang, Masashi Sugiyama
    • Organizer
      International Conference on Machine Learning 2023
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Funded Workshop] International Conference on Machine Learning2023

    • Related Report
      2023 Annual Research Report
  • [Funded Workshop] Neural Information Processing Systems 20222022

    • Related Report
      2022 Annual Research Report

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Published: 2022-04-28   Modified: 2024-12-25  

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