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.
DOI Author Manuscript 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
Preprints
2025 Error analysis of the projected PO method with additive inflation for the partially observed Lorenz 96 model
K. Takeda, arXiv preprint.
arXiv
2025 Quantifying the minimum ensemble size for asymptotic accuracy of the ensemble Kalman filter using the degrees of instability
K. Takeda and T. Miyoshi, under review.
Binder Github