activity
20162024
most citedContinuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods

26 citations · 95 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2024★ 5 cited

Evolving efficiency of the BRICS markets

Maria V. Kulikova, David R. Taylor, Gennady Yu. Kulikov

This paper investigates a time-varying version of weak-form market efficiency in the BRICS countries. A moving window test for sample autocorrelations is applied alongside a Kalman…

math.OC2024★ 11 cited

UD-based pairwise and MIMO Kalman-like filtering for estimation of econometric model structures

Maria V. Kulikova, Julia V. Tsyganova, Gennady Yu. Kulikov

One of the modern research lines in econometrics studies focuses on translating a wide variety of structural econometric models into their state-space form, which allows for effici…

math.OC2024

Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields

Maria V. Kulikova, Gennady Yu. Kulikov

In mathematical neuroscience, a special interest is paid to a working memory mechanism in the neural tissue modeled by the Dynamic Neural Field (DNF) in the presence of model uncer…

math.OC2023★ 15 cited

MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods

Maria V. Kulikova, Gennady Yu. Kulikov

A stable square-root approach has been recently proposed for the unscented Kalman filter (UKF) and fifth-degree cubature Kalman filter (5D-CKF) as well as for the mixed-type method…

math.OC2023★ 8 cited

Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter

Maria V. Kulikova, Gennady Yu. Kulikov

This paper continues our research devoted to an accurate nonlinear Bayesian filters' design. Our solution implies numerical methods for solving ordinary differential equations (ODE…

math.NA2023★ 26 cited

Continuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods

Maria Kulikova, Gennady Kulikov

This paper addresses the problem of designing the {\it continuous-discrete} unscented Kalman filter (UKF) implementation methods. More precisely, the aim is to propose the MATLAB-b…

math.OC2023★ 12 cited

Estimation of market efficiency process within time-varying autoregressive models by extended Kalman filtering approach

Maria Kulikova, Gennady Kulikov

This paper explores a time-varying version of weak-form market efficiency that is a key component of the so-called Adaptive Market Hypothesis (AMH). One of the most common methodol…

eess.SY2016★ 18 cited

Do the Contemporary Cubature and Unscented Kalman Filtering Methods Outperform Always the Traditional Extended Kalman Filter?

G. Yu. Kulikov, M. V. Kulikova

This brief technical note elaborates three well-known state estimators, which are used extensively in practice. These are the rather old-fashioned extended Kalman filter (EKF) and…