Ph.D. student at Kyoto Univ. and JRA in R-CCS

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 »

Funding and Awards

in Japanese »

Presentations

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 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

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: 10.1137/22M1543550.
2024 Topological regularization on numerical simulations of the advection equation
K. Takeda, S. Kaji, and T. Miyoshi, submitted.
2024 Uniform error bounds of the ensemble transform Kalman filter for infinite-dimensional dynamics with multiplicative covariance inflation
K. Takeda and T. Sakajo, arxiv preprint arxiv:2402.03756.

Activities

in Japanese »