Papers in International Journals

• Kulikov, Gennady Yu; Kulikova, Maria (2022)  Hyperbolic-SVD-based square-root unscented Kalman filters in continuous-discrete target tracking scenarios . IEEE Transactions on Automatic Control: 61(7), 366-373.

• Kulikova, Maria; Kulikov, Gennady Yu (2022)  Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter . Applied Numerical Mathematics: 171, 32-44.

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022)  Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements . Computers in Biology and Medicine: 141: 105103.

• Kulikov, Gennady Yu; Kulikova, Maria (2021)  Itô-Taylor-based square-root unscented Kalman filtering methods for state estimation in nonlinear continuous-discrete stochastic systems . European Journal of Control: 58, 101-113.

• Kulikov, Gennady Yu; Kulikova, Maria (2021)  Square-root high-degree cubature Kalman filters for state estimation in nonlinear continuous-discrete stochastic systems . European Journal of Control: 59, 58-68.

• Kulikova, Maria; Tsyganova, J.V.; Kulikov, Gennady Yu (2021)  SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation . Journal of Computational and Applied Mathematics: 387: 112487.

• Kulikov, Gennady Yu; Lima, Pedro M.; Kulikova, Maria (2021)  Numerical solution of the neural field equation in the presence of random disturbance. . Journal of Computational and Applied Mathematics: 387: 112563.

• Kulikova, Maria; Kulikov, Gennady Yu (2021)  MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods . European Journal of Control: 59, 1-12.

• Kulikova, Maria (2020)  On the stable Cholesky factorization-based method for the maximum correntropy criterion Kalman filtering . IFAC-PapersOnLine: 53(2), 482-487.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  The J-orthogonal square-root Euler-Maruyama-based unscented Kalman filter for nonlinear stochastic systems . IFAC-PapersOnLine: 53(2), 2361-2366.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  Square-root accurate continuous-discrete extended-unscented Kalman filtering methods with embedded orthogonal and J-orthogonal QR decompositions for estimation of nonlinear continuous-time stochastic models in radar tracking . Signal Processing: 166: 107253.

• Kulikova, Maria; Kulikov, Gennady Yu (2020)  The J-orthogonal square-root MATLAB-based continuous-discrete unscented Kalman filtering method . IFAC-PapersOnLine: 53(2), 4967-4972.

• Kulikova, Maria; Kulikov, Gennady Yu (2020)  SVD-based factored-form Cubature Kalman Filtering for continuous-time stochastic systems with discrete measurements . Automatica: 120: 109110.

• Tsyganova, J.V.; Kulikova, Maria; Tsyganov, A.V. (2020)  A general approach for designing the MWGS-based information-form Kalman filtering methods . European Journal of Control: 56, 86-97.

• Kulikova, Maria (2020)  Sequential maximum correntropy Kalman filtering . AsianJournal of Control: 22(1), 25-33.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  The J-orthogonal square-root fifth-degree cubature Kalman filtering method for nonlinear stochastic systems . IFAC-PapersOnLine: 53(2), 4961-4966.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements . Applied Numerical Mathematics: 147, 196-221.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  A comparative study of Kalman-like filters for state estimation of turning aircraft in presence of glint noise . IFAC-PapersOnLine: 53(2), 2335-2340.

• Kulikova, Maria (2020)  Chandrasekhar-based maximum correntropy Kalman filtering with the adaptive kernel size selection . IEEE Transactions on Automatic Control: 65(2), 741-748.

• Kulikova, Maria; Kulikov, Gennady Yu (2020)  Square-rooting approaches to accurate mixed-type continuous-discrete extended and fifth-degree cubature Kalman filters . IET Radar, Sonar & Navigation: 14(11), 1671-1680.

• Kulikov, Gennady Yu; Kulikova, Maria (2020)  Hyperbolic-singular-value-decomposition-based square-root accurate continuous-discrete extended-unscented Kalman filters for estimating continuous-time stochastic models with discrete measurements . International Journal of Robust and Nonlinear Control: 30(5), 2033-2058.

• Kulikova, Maria; Tsyganova, J.V.; Kulikov, Gennady Yu (2020)  UD-based pairwise and MIMO Kalman-like filtering for estimation of econometric model structures . IEEE Transactions on Automatic Control: 65(10), 4472-4479.

• Kulikov, Gennady Yu; Kulikova, Maria (2019)  Numerical robustness of extended Kalman filtering based state estimation in ill-conditioned continuous-discrete nonlinear stochastic chemical systems . International Journal of Robust and Nonlinear Control: 29(5), 1377-1395.

• Kulikova, Maria (2019)  Hyperbolic SVD-based Kalman filtering for Chandrasekhar recursion . IET Control Theory & Applications, in press.

• Kulikov, Gennady Yu; Taylor, D.R.; Kulikova, Maria (2019)  A nonlinear Bayesian filtering approach to estimating adaptive market efficiency . Russian Journal of Numerical Analysis and Mathematical Modelling: 34(1), 31-42.

• Kulikova, Maria (2019)  Square-root approach for Chandrasekhar-based maximum correntropy Kalman filtering . IEEE Signal Processing Letters: 26(12), 1803-1807.

• Kulikova, Maria (2019)  Factored-form Kalman-like implementations under maximum correntropycriterion . Signal Processing: 160, 328-338.

• Tsyganova, J.V.; Kulikova, Maria (2018)  On modern array algorithms for optimal discrete filtering . Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software: 11(4), 5-30.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Moore-Penrose-pseudo-inverse-based Kalman-like filtering methods for estimation of stiff continuous-discrete stochastic systems with ill-conditioned measurements . IET Control Theory & Applications: 12(16), 2205-2212.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Stability analysis of extended, cubature and unscented Kalman filters for estimating stiff continuous-discrete stochastic systems . Automatica: 90, 91-97.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Practical implementation of extended Kalman filtering in chemical systems with sparse measurements . Russian Journal of Numerical Analysis and Mathematical Modelling: 33(1), 41-53.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Estimation of maneuvering target in the presence of non-Gaussian noise: a coordinated turn case study . Signal Processing: 145, 241-257.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Square-root Kalman-like filters for estimation of stiff continuous-time stochastic systems with ill-conditioned measurements . IET Control Theory and Applications: 11(9), 1420-1425.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  The continuous-discrete extended Kalman filter revisited . Russian Journal of Numerical Analysis and Mathematical Modelling: 32(1), 27-38.

• Kulikova, Maria (2017)  Gradient-based parameter estimation in pairwise linear Gaussian system . IEEE Transactions on Automatic Control: 62(3), 1511-1517.

• Kulikova, Maria; Tsyganova, J.V. (2017)  The UD-based approach for designing pairwise Kalman filtering algorithms . IFAC-PapersOnLine: 50(1), 1619-1624.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Accurate continuous–discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking . Signal Processing: 139, 25-35.

• Tsyganova, J.V.; Kulikova, Maria (2017)  SVD-based Kalman Filter Derivative Computation . IEEE Transactions on Automatic Control: 62(9), 4869-4875.

• Kulikova, Maria; Kulikov, Gennady Yu (2017)  NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models . Journal of Computational and Applied Mathematics: 316, 260-270.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements . Applied Numerical Mathematics: 111, 260-275.

• Kulikova, Maria; Tsyganova, M.V. (2017)  Improved discrete-time Kalman filtering within singular value decomposition . IET Control Theory and Applications: 11(15), 2412-2418.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Accurate state estimation in continuous-discrete stochastic state-space systems with nonlinear or nondifferentiable observations . IEEE Transactions on Automatic Control: 43(8), 4243-4250.

• Kulikova, Maria (2017)  Square-root algorithms for maximum correntropy estimation of linear discrete-time systems in presence of non-Gaussian noise . Systems and Control Letters: 108, 8-15.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering . Mathematics and Computers in Simulation: 142, 62-81.

• Kulikov, Gennady Yu; Kulikova, Maria (2017)  Do the contemporary cubature and unscented Kalman filtering methods outperform always the extended Kalman filter? . IFAC-PapersOnLine: 50(1), 3762-3767.

• Kulikov, Gennady Yu; Kulikova, Maria (2016)  Estimating the state in stiff continuous-time stochastic systems within extended Kalman filtering . SIAM Journal on Scientific Computing: 38(6), A3565-A3588.

• Kulikov, Gennady Yu; Kulikova, Maria (2016)  The accurate continuous-discrete extended Kalman filter for radar tracking . IEEE Transactions on Signal Processing: 64(4), 948-958.

• Kulikova, Maria; Tsyganova, J.V. (2016)  A unified square-root approach for the score and Fisher information matrix computation in linear dynamic systems . Mathematics and Computers in Simulation: 119, 128-141.

• Kulikova, Maria; Tsyganova, J.V. (2015)  Differentiating matrix orthogonal transformations . Computational Mathematics and Mathematical Physics: 55(9), 1460-1473.

• Kulikov, Gennady Yu; Kulikova, Maria (2015)  High-order accurate continuous-discrete extended Kalman filter for chemical engineering . European Journal of Control: 21, 14-26.

• Kulikov, Gennady Yu; Kulikova, Maria (2015)  The accurate continuous-discrete extended Kalman filter for continuous-time stochastic systems . Russian Journal of Numerical Analysis and Mathematical Modelling: 30(4), 239-249.

• Kulikova, Maria; Tsyganova, J. (2015)  Constructing numerically stable Kalman filter-based algorithms for gradient-based adaptive filtering . International Journal of Adaptive Control and Signal Processing: 29(11), 1411-1426.

• Kulikov, Gennady Yu; Kulikova, Maria (2014)  Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter . IEEE Transactions on Automatic Control: 59(1), 273-279.

• Kulikova, Maria; Tsyganova, Yu. V. (2014)  A general approach to constructing parameter identification algorithms in the class of square-root filters with orthogonal and J-orthogonal tranformations . Automation and Remote Control: 75(8), 1402-1419.

• Kulikova, Maria; Kulikov, Gennady Yu (2014)  Adaptive ODE Solvers in Extended Kalman Filtering Algorithms . Journal of Computational and Applied Mathematics: 262, 205-216.

• Kulikova, Maria; Pacheco, António (2013)  Kalman Filter Sensitivity Evaluation with Orthogonal and J-Orthogonal Transformations . IEEE Transactions on Automatic Control: 58(7), 1798-1804.

• Kulikova, Maria; Taylor, D. R. (2013)  Stochastic Volatility Models for Exchange Rates and Their Estimation Using Quasi-Maximum-Likelihood Methods: an Application to the South African Rand . Journal of Applied Statistics: 40(3), 495-507.

• Tsyganova, J. V.; Kulikova, Maria (2013)  State Sensitivity Evaluation Within UD Based Array Covariance Filters . IEEE Transactions on Automatic Control: 58(11), 2944-2950.

• Tsyganova, Yu.V.; Kulikova, Maria (2012)  On efficient parametric identification methods for linear discrete stochastic systems . Automation and Remote Control: 73(6), 962-975.

• Kulikova, Maria (2011)  Maximum likelihood estimation of linear stochastic systems in the class of sequential square-root orthogonal filtering methods . Automation and Remote Control: 72(4), 766-786.

• Kulikova, Maria; Taylor, D. R. (2010)  A Conditionally Heteroskedastic Time Series Model for Certain South African Stock Price Returns . Investment Analysts Journal: 72, 43-52.

• Kulikova, Maria (2009)  Maximum likelihood estimation via the extended covariance and combined square-root filters . Mathematics and Computers in Simulation: 79, 1641-1657.

• Kulikova, Maria (2009)  Likelihood Gradient Evaluation Using Square-Root Covariance Filters . IEEE Transactions on Automatic Control: 54(3), 646-651.

• Kulikova, Maria (2009)  On scalarized calculation of the likelihood function in array square-root filtering algorithms . Automation and Remote Control: 70(5), 855-871.

• Kulikova, Maria; Semoushin, I. V. (2006)  Score Evaluation Within the Extended Square-Root Information Filter . Lecture Notes in Computer Science: 3991, 473-481.

• Kulikova, Maria; Semoushin, I.V. (2005)  On the Evaluation of Log Likelihood Gradient for Gaussian Signals . International Journal of Applied Mathematics and Statistics: 3(5), 1–14.

• Semoushin, I.V.; Tsyganova, J.V.; Kulikova, Maria (2003)  Fault Poin Detection with the Bank of Competitive Kalman Filters . Lecture Notes in Computer Science: 2658, 417-426.

• Kulikova, Maria (2003)  On Effective Computation of the Logarithm of the Likelihood Ratio Function for Gaussian Signals . Lecture Notes in Computer Science: 2658, 427-435.

Books

• Semushin, I. V.; Tsyganova, Yu. V.; Kulikova, Maria; Fatyanova, O. A. ; Kondratiev, A. E.  (2011)  Adaptive systems of filtering, control and fault detection . Ulyanovsk State University, Ulyanovsk: ISBN 978-5-88866-399, 286 pp. (in Russian).

Communications in Conference Proceedings

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022)  Pattern Recognition Facilities of Extended Kallman Filtering in Stochastic Neural Fields . Proceedings of ECC2022, 1436-1441.

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022)  Accurate Ito-Taylor-Discretization-Based State Estimation in Stochastic Neural Field Equations with Infinte Signal Transmissiion Rate . Proceedings of ECC2022, 1436-1441.

• Kulikova, Maria; Taylor, D.R.; Kulikov, Gennady Yu (2021)  Estimating a degree of evolving market efficiency: How efficient is the Romanian stock market? . Proceedings of the 25th International Conference on System Theory, Control and Computing, Iasi, Romania, 665-670.

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2021)  Reconstruction of hidden states in stochastic neural field equations with infinite signal transmission rate . Proceedings of the 25th International Conference on System Theory, Control and Computing, Iasi, Romania, 358-365.

• Lima, Pedro M.; Erlhagen, W.; Kulikov, Gennady Yu; Kulikova, Maria (2021)  Mathematical modeling of working memory in the presence of random disturbance using neural field equations . Proceedings of V International Conference "Modeling of Nonlinear Processes and Systems" (MNPS-2020). EPJ Web of Conferences: 248, 01021.

• Kulikov, Gennady Yu; Kulikova, Maria (2021)  Self-adaptive MATLAB-based Gauss-Hermite quadrature filter for state estimation in nonlinear continuous-discrete stochastic systems . Proceedings of European Control Conference, Rotterdam, Netherlands, 848-853.

• Kulikova, Maria; Tsyganova, J.V. (2020)  Numerically robust maximum correntropy criterion Kalman filtering using the UD covariance factorization approach . Proceedings of European Control Conference, Saint Petersburg, Russia, 1383-1388.

• Kulikova, Maria; Kulikov, Gennady Yu; Lima, Pedro M. (2020)  Accuracy study in numerical simulations to stochastic neural field equations . Proceedings of the 24th International Conference on System Theory, Control and Computing, Sinaia, Romania, 254-261.

• Kulikova, Maria; Kulikov, Gennady Yu; Lima, Pedro M. (2019)  Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. . Proceedings of the 23rd International Conference on System Theory, Control and Computing, 650-655.

• Tsyganova, J.V.; Kulikova, Maria; Tsyganov, A.V. (2019)  Some new array information formulations of the UD-based Kalman filter . Proceedings of European Control Conference, Naples, Italy, 1872-1877.

• Kulikov, Gennady Yu; Kulikova, Maria; Lima, Pedro M. (2019)  Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance . Proceedings of the 23rd International Conference on System Theory,, 644-649.

• Kulikov, Gennady Yu; Kulikova, Maria (2019)  SVD-based factored-form extended Kalman filters for state estimation in nonlinear continuous-discrete stochastic systems . Proceedings of the 23rd International Conference on System Theory, Control and Computing, Sinaia, Romania, 137-142.

• Kulikova, Maria (2019)  One-step condensed forms for square-root maximum correntropy criterion Kalman filtering . Proceedings of the 23rd International Conference on System Theory, Control and Computing, Sinaia, Romania, 13-18.

• Kulikov, Gennady Yu; Kulikova, Maria (2019)  The J-orthogonal square-root NIRK-based Extended-Unscented Kalman filter for nonlinear continuous-discrete stochastic systems . Proceedings of the 58-th IEEE Conference on Decision and Control, IEEE-CDC 2019. Nice, France, 373-378.

• Kulikova, Maria; Tsyganova, J.V.; Kulikov, Gennady Yu (2018)  SVD-based state estimation of pairwise Markov models with application in econometrics . Proceedings of the 22nd International Conference on System Theory, Control and Computing, Sinaia, Romania, 188-193.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Numerical stability of EKF-based software sensors in chemical engineering: A Van Der Vusse reaction case study . Proceedings of the 22nd International Conference on System Theory, Control and Computing, Sinaia, Romania, 286-291.

• Kulikova, Maria (2018)  Numerically robust SVD-based Kalman filter implementations . Proceedings of the 22nd International Conference on System Theory, Control and Computing, Sinaia, Romania, 170-175.

• Kulikov, Gennady Yu; Kulikova, Maria (2018)  Accuracy issues in Kalman filtering state estimation of stiff continuous-discrete stochastic models arisen in engineering research . Proceedings of the 22nd International Conference on System Theory, Control and Computing, Sinaia, Romania, 800-805.

• Kulikov, Gennady Yu; Kulikova, Maria (2016)  Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering . Proceedings of European Control Conference, Aalborg, Denmark, 1728-1733.

• Kulikova, Maria; Tsyganova, J.V.; Semushin, I.V. (2016)  Adaptive wave filtering for marine vessels within UD-based algorithms . Proceedings of European Control Conference, Aalborg, Denmark, 1129-1134.

• Semushin, I.V.; Tsyganova, J.V.; Kulikova, Maria; Tsyganov, A.; Peskov, A. (2016)  Identification of human body daily temperature dynamics via minimum state prediction error method . Proceedings of European Control Conference, Aalborg, Denmark, 2429-2434.

• Kulikova, Maria; Kulikov, Gennady Yu (2016)  On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models . Proceedings 15th Annual European Control Conference, ECC 2016, Aalborg, Denmark, July 29 - June 1.

• Kulikova, Maria; Kulikov, Gennady Yu (2015)  A mixed-type accurate continuous-discrete extended-unscented Kalman filter for target tracking . Proceedings of the 2015 European Control Conference (ECC 2015), Linz, Austria, 2824–2829.

• Kulikova, Maria (2015)  Square-root adaptive wave filtering for marine vessels . Proceedings of European Control Conference, Linz, Austria, 3143–3148.

• Kulikov, Gennady Yu; Kulikova, Maria (2015)  State estimation in chemical systems with infrequent measurements . Proceedings of the 2015 European Control Conference (ECC 2015), Linz, Austria, 2688–2693.

• Kulikov, Gennady Yu; Kulikova, Maria (2014)  Accurate state estimation in the Van der Vusse reaction . Proceedings of the IEEE 2014 Multi-Conference on Systems and Control, Antibes, France, 8-10 October, 759-764.

• Kulikova, Maria; Kulikov, Gennady Yu (2013)  Square-root accurate continuous-discrete extended Kalman filter for target tracking . Proceedings of the 52-nd IEEE Conference on Decision and Control, IEEE-CDC 2013, Florence, Italy, 7785-7790.

Thesis

• Kulikova, Maria (2005)  Methods of Evaluation of Log Likelihood Function and its Gradient in Kalman Filtering Algorithms . PhD Thesis, Ulyanovsk State University, Ulyanovsk, Russia.

Papers in National Scientific Journals

• Kulikova, Maria; Tsyganova, J.V. (2017)  Numerically stable Kalman filter implementations for estimating linear pairwise Markov models in the presence of Gaussian noise . Computational Technologies: 22(3), 45-60.

• Kulikova, Maria; Kulikov, Gennady Yu (2016)  Numerical methods for nonlinear filtering of signals and measurements . Computational Technologies: 21(4), 64-98.