Ben-Artzi, Jonathan; Marletta, Marco; Rösler, Frank On the complexity of the inverse Sturm-Liouville problem. (English) Zbl 07787349 Pure Appl. Anal. 5, No. 4, 895-925 (2023). MSC: 65L15 34A55 34B24 65F18 65L09 68Q25 PDFBibTeX XMLCite \textit{J. Ben-Artzi} et al., Pure Appl. Anal. 5, No. 4, 895--925 (2023; Zbl 07787349) Full Text: DOI arXiv
Batard, Thomas A class of priors for color image restoration parameterized by Lie groups acting on pixel values. (English) Zbl 07724137 SIAM J. Imaging Sci. 16, No. 3, 1235-1280 (2023). MSC: 68U10 65L09 53C05 PDFBibTeX XMLCite \textit{T. Batard}, SIAM J. Imaging Sci. 16, No. 3, 1235--1280 (2023; Zbl 07724137) Full Text: DOI
Sanz-Alonso, Daniel; Stuart, Andrew; Taeb, Armeen Inverse problems and data assimilation. (English) Zbl 07704049 London Mathematical Society Student Texts 107. Cambridge: Cambridge University Press (ISBN 978-1-00-941432-6/hbk; 978-1-00-941429-6/pbk; 978-1-00-941431-9/ebook). xvi, 210 p. (2023). MSC: 65-01 62-01 65J22 65L09 68T45 68T09 PDFBibTeX XMLCite \textit{D. Sanz-Alonso} et al., Inverse problems and data assimilation. Cambridge: Cambridge University Press (2023; Zbl 07704049) Full Text: DOI arXiv
Xu, Chen; Zhang, Ye Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network. (English) Zbl 07595871 J. Inverse Ill-Posed Probl. 30, No. 5, 693-712 (2022). MSC: 68-XX 65L09 35R30 76R50 PDFBibTeX XMLCite \textit{C. Xu} and \textit{Y. Zhang}, J. Inverse Ill-Posed Probl. 30, No. 5, 693--712 (2022; Zbl 07595871) Full Text: DOI arXiv
Du, Qiang; Gu, Yiqi; Yang, Haizhao; Zhou, Chao The discovery of dynamics via linear multistep methods and deep learning: error estimation. (English) Zbl 1506.65105 SIAM J. Numer. Anal. 60, No. 4, 2014-2045 (2022). MSC: 65L06 65L09 65L20 68T07 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 60, No. 4, 2014--2045 (2022; Zbl 1506.65105) Full Text: DOI arXiv
Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. (English) Zbl 1478.92193 ETNA, Electron. Trans. Numer. Anal. 56, 1-27 (2022). MSC: 92D30 92-08 65L09 68T07 68T09 PDFBibTeX XMLCite \textit{V. Grimm} et al., ETNA, Electron. Trans. Numer. Anal. 56, 1--27 (2022; Zbl 1478.92193) Full Text: DOI Link
Pinetz, Thomas; Kobler, Erich; Pock, Thomas; Effland, Alexander Shared prior learning of energy-based models for image reconstruction. (English) Zbl 07430671 SIAM J. Imaging Sci. 14, No. 4, 1706-1748 (2021). MSC: 65K10 65C30 65L09 68T07 PDFBibTeX XMLCite \textit{T. Pinetz} et al., SIAM J. Imaging Sci. 14, No. 4, 1706--1748 (2021; Zbl 07430671) Full Text: DOI arXiv
Keller, Rachael T.; Du, Qiang Discovery of dynamics using linear multistep methods. (English) Zbl 1466.65050 SIAM J. Numer. Anal. 59, No. 1, 429-455 (2021). MSC: 65L06 65L09 65L20 68T99 PDFBibTeX XMLCite \textit{R. T. Keller} and \textit{Q. Du}, SIAM J. Numer. Anal. 59, No. 1, 429--455 (2021; Zbl 1466.65050) Full Text: DOI arXiv
Chennault, Austin; Popov, Andrey A.; Subrahmanya, Amit N.; Cooper, Rachel; Rafid, Ali Haisam Muhammad; Karpatne, Anuj; Sandu, Adrian Adjoint-Matching Neural Network Surrogates for Fast 4D-Var Data Assimilation. arXiv:2111.08626 Preprint, arXiv:2111.08626 [cs.LG] (2021). MSC: 34A55 68T07 90C30 65L09 BibTeX Cite \textit{A. Chennault} et al., ``Adjoint-Matching Neural Network Surrogates for Fast 4D-Var Data Assimilation'', Preprint, arXiv:2111.08626 [cs.LG] (2021) Full Text: arXiv OA License
Walter, Eric; Kieffer, Michel Guaranteed optimization of the parameters of continuous-time knowledge-based models. (English) Zbl 1114.65087 Commault, Christian (ed.) et al., Positive systems. Proceedings of the second multidisciplinary international symposium on positive systems: Theory and applications (POSTA 06), Grenoble, France, August 30 – September 1, 2006. Berlin: Springer (ISBN 3-540-34771-2/pbk). Lecture Notes in Control and Information Sciences 341, 137-144 (2006). MSC: 65L09 34A55 65G40 68T35 PDFBibTeX XMLCite \textit{E. Walter} and \textit{M. Kieffer}, Lect. Notes Control Inf. Sci. 341, 137--144 (2006; Zbl 1114.65087)
Kraus, Christian Efficient object-oriented modelling, simulation and parameter for biomechanical problems. (English) Zbl 1101.65080 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). x, 188 p. (2006). MSC: 65L09 65L80 34A55 34A09 92C10 68N19 PDFBibTeX XMLCite \textit{C. Kraus}, Efficient object-oriented modelling, simulation and parameter for biomechanical problems. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2006; Zbl 1101.65080)