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physics.data-an2023★ 2 cited
Regularization of the ensemble Kalman filter using a non-parametric, non-stationary spatial model
Michael Tsyrulnikov, Arseniy Sotskiy
The sample covariance matrix of a random vector is a good estimate of the true covariance matrix if the sample size is much larger than the length of the vector. In high-dimensiona…
physics.data-an2017★ 4 cited
Impact of non-stationarity on hybrid ensemble filters: A study with a doubly stochastic advection-diffusion-decay model
Michael Tsyrulnikov, Alexander Rakitko
Effects of non-stationarity on the performance of hybrid ensemble filters are studied (by hybrid filters we mean those which blend ensemble covariances with some other regularizing…
physics.data-an2016
A spatio-temporal stochastic pattern generator for simulation of uncertainties in geophysical ensemble prediction and ensemble data assimilation
Michael Tsyrulnikov, Dmitry Gayfulin
A generator of spatio-temporal pseudo-random Gaussian fields that satisfy the "proportionality of scales" property (Tsyroulnikov, 2001) is presented. The generator is based on a th…