Cheng, Sibo; Liu, Che; Guo, Yike; Arcucci, Rossella Efficient deep data assimilation with sparse observations and time-varying sensors. (English) Zbl 07807988 J. Comput. Phys. 496, Article ID 112581, 20 p. (2024). MSC: 68Txx 65Kxx 90Cxx PDFBibTeX XMLCite \textit{S. Cheng} et al., J. Comput. Phys. 496, Article ID 112581, 20 p. (2024; Zbl 07807988) Full Text: DOI arXiv
Mou, Changhong; Chen, Nan; Iliescu, Traian An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. (English) Zbl 07748041 J. Comput. Phys. 493, Article ID 112450, 30 p. (2023). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{C. Mou} et al., J. Comput. Phys. 493, Article ID 112450, 30 p. (2023; Zbl 07748041) Full Text: DOI arXiv
Damiano, Lombardi State estimation in nonlinear parametric time dependent systems using tensor train. (English) Zbl 07769317 Int. J. Numer. Methods Eng. 123, No. 20, 4935-4956 (2022). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{L. Damiano}, Int. J. Numer. Methods Eng. 123, No. 20, 4935--4956 (2022; Zbl 07769317) Full Text: DOI
Donoghue, Geoff; Yano, Masayuki A multi-fidelity ensemble Kalman filter with hyperreduced reduced-order models. (English) Zbl 1507.65200 Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022). MSC: 65M75 65C05 PDFBibTeX XMLCite \textit{G. Donoghue} and \textit{M. Yano}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022; Zbl 1507.65200) Full Text: DOI
Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian A multifidelity ensemble Kalman filter with reduced order control variates. (English) Zbl 1467.62153 SIAM J. Sci. Comput. 43, No. 2, A1134-A1162 (2021). MSC: 62M20 62F15 65C05 65M60 62-08 PDFBibTeX XMLCite \textit{A. A. Popov} et al., SIAM J. Sci. Comput. 43, No. 2, A1134--A1162 (2021; Zbl 1467.62153) Full Text: DOI arXiv
Mack, Julian; Arcucci, Rossella; Molina-Solana, Miguel; Guo, Yi-Ke Attention-based convolutional autoencoders for 3D-variational data assimilation. (English) Zbl 1506.94007 Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020). MSC: 94A08 65R10 86-08 PDFBibTeX XMLCite \textit{J. Mack} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020; Zbl 1506.94007) Full Text: DOI arXiv