About me

Welcome to Kota Takeda’s home page! Japanese page »

Ph.D student, Department of mathematics, Graduate school of science, Kyoto University
takeda.kota.53r[at]st.kyoto-u.ac.jp

Junior Research Associate, Data Assimilation research team, RIKEN Center for Computational Science (R-CCS)
kota.takeda[at]riken.jp

Research Interests

My research focuses on applying mathematical tools to analyze complex and chaotic phenomena, utilizing both theoretical and numerical methods. In particular, I’m working on UQ(Uncertainty Quantification) approaches to mathematical fluid dynamics.

I am also interested in interdisciplinary studies, where I would like to interact with many researchers in different fields by using mathematics.

specific themes

keywords

Uncertainty Quantification(UQ), mathematical fluid dynamics, Topological Flow Data Analysis(TFDA), data assimilation, interdisciplinary studies, machine learning, weather forecasting, bio-logging

Developments

in Japanese »

C.V.

Educational History

Professional History

in Japanese »

Funds and Awards

in Japanese »

Presentations

3/(11-15?) (upcoming) oral, invited Synergies of Machine Learning and Numerics, “TBA”, Osaka, 2024/3/11-15.
2024/11/20 (upcoming) oral,invited The 1st MMS Workshop for Young Researchers, “Uniform error bounds of the ensemble square root filter for chaotic dynamics with multiplicative covariance inflation”, Kyoto, 2024/11/20-21.
2024/11/3 oral,invited Applied Mathematics Freshman Seminar 2024, “Mathematical analysis of data assimilation and related topics”, Kyoto University, 2024/11/2-4. slide
2024/9/16 poster The CRC International Summer School, “Error analysis of the ensemble square root filters with multiplicative inflation for dissipative dynamical systems”, Boltenhagen, 2024/9/16-20.
2024/6/30 oral The 17th SIAM East Asia Section Conference, “Mathematical Analysis of the Ensemble Kalman filter”, Macao SAR, 2024/6/28-7/1.
2024/3/14 oral, invited DA Seminary at IMT Atlantique, “Theoretical aspect of the ETKF and covariance inflation”, Brest, France.
2024/2/28 poster SIAM Conference on Uncertainty Quantification (UQ24), “Rigorous analysis of the ensemble transform Kalman filter for chaotic dynamical models”, Trieste, 2/27-3/1.
2024/1/29 poster The 6th R-CCS International Symposium, “Mathematical analysis of the ensemble transform Kalman filter for chaotic dynamics with multiplicative inflation”, Kobe, 1/29-1/30.
2023/12/9 poster, invited NCTS-Kyoto Mathematics Symposium, “Mathematical Analysis of Data Assimilation to Chaotic Dynamics”, National Center for Theoretical Science, Taiwan.
2023/12/7 oral Dynamics Days 2023 Kagurazaka, “Ensemble data assimilation to infinite-dimensional nonlinear dynamics with noisy observations”, Tokyo, 12/4-8.
2023/11/8 oral Twentieth International Conference on Flow Dynamics, “A Monte Carlo approach to the N-vortex problem on the unit sphere”, Sendai, 11/6-8.
2023/8/30 poster 14th Data Assimilation workshop, “Mathematical analysis of the ensemble transform Kalman filter with covariance inflation”, R-CCS, Kobe.
2023/8/29 oral, invited IMT-Atlantique & Kyoto University & RIKEN joint Data Assimilation workshop, “Ensemble filter with the optimal transport of gaussian mixture distributions”, R-CCS, Kobe.
2023/8/22 oral, invited ICIAM 2023 Tokyo, SIAM Student Chapter Research Presentations, “Computing the invariant measure of the N-vortex problem on the sphere by Hamiltonian Monte Carlo” at Waseda University, 8/20-25.
2023/7/31 poster TDA week 2023, “Topological Regularization in Numerical Simulation” at Kyoto University, 7/31-8/4.
2023/2/6 poster The 5th R-CCS International Symposium, “Computing the invariant measure of the N-vortex problem on the unit sphere” at R-CCS, Kobe.
2023/1/24 oral, invited Conference ‘Mathematical Structure in Quantum Fluids’, “A Monte Carlo approach to the N-vortex problem on the unit sphere” at Osaka Metropolitan University, 1/23-25.
2023/1/9 poster, invited East Asian Core Doctoral Forum on Mathematics 2023, “Efficient sampling method on compact manifolds and its application to turbulent statistics on the unit sphere” at Taiwan National University, 1/9-12.

in Japanese »

Publications

2024 Uniform error bounds of the ensemble transform Kalman filter for chaotic dynamics with multiplicative covariance inflation
K. Takeda and T. Sakajo, in press, SIAM/ASA Journal on Uncertainty Quantification.
arxiv github
2024 Topological regularization on numerical simulations of the advection equation
K. Takeda, S. Kaji, and T. Miyoshi, JSIAM Letters, 16, 53–56.
DOI
2023 Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds
K. Takeda and T. Sakajo, SIAM Journal on Numerical Analysis, 61(6), 2994-3013.
DOI

Activities

in Japanese »