4 citations · 4 across the 3 of their papers we have counts for
4 papers
A Second-Order Asymptotic Expansion for Nonlinear Filtering in the Lorenz--63 System
Masahiro Kurisaki, Kota Takeda
A challenge in nonlinear filtering is to incorporate nonlinear effects into approximations of the conditional mean while retaining a finite-dimensional recursive algorithm. We deri…
Error control technique of quadrature-based algorithms for the action of real powers of a Hermitian positive-definite matrix
Motohiro Otsuka, Fuminori Tatsuoka, Tomohiro Sogabe +2
This study considers quadrature-based algorithms to compute , the action of a real power of a Hermitian positive-definite matrix on a vector $ \boldsymbol{b}…
Observed-unobserved information transfer in ensemble Kalman filtering for the partially observed Lorenz 96 model
Kota Takeda
We consider filtering problems with partial observations of nonlinear dynamical systems, where accurate state estimation relies on information transfer from observed to unobserved…
Uniform error bounds of the ensemble transform Kalman filter for infinite-dimensional dynamics with multiplicative covariance inflation
Kota Takeda, Takashi Sakajo
Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a predict…