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

Computing a stationary flow of 2D Euler equation with Hamiltonian Monte Carlo
Mathematical analysis of data assimilation
Creating the fundamental framework of data assimilation with topological data

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

2022- Graduate student in Ph.D program, Graduate school of science, Kyoto University
2020-2022 Graduate student, Graduate school of science, Kyoto University.
2016-2020 Undergraduate student, Faculty of science, Kyoto University.

Professional History

Apr. 2022- Kyoto University Graduate Division Fellow Kyoto University Division of Graduate Studies
Apr. 2022- RIKEN Junior Research Associate at R-CCS Data Assimilation research team JRA 2022

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	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. slide
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, SIAM/ASA Journal on Uncertainty Quantification, 12(4), 1315–1335.
2024	Topological regularization on numerical simulations of the advection equation K. Takeda, S. Kaji, and T. Miyoshi, JSIAM Letters, 16, 53–56.
2023	Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds K. Takeda and T. Sakajo, SIAM Journal on Numerical Analysis, 61(6), 2994-3013.