Latz, Jonas Bayesian inverse problems are usually well-posed. (English) Zbl 07725072 SIAM Rev. 65, No. 3, 831-865 (2023). MSC: 62F15 49K40 65C60 65N21 68Q32 68T05 PDFBibTeX XMLCite \textit{J. Latz}, SIAM Rev. 65, No. 3, 831--865 (2023; Zbl 07725072) Full Text: DOI
Barbu, Tudor Deep learning-based multiple moving vehicle detection and tracking using a nonlinear fourth-order reaction-diffusion based multi-scale video object analysis. (English) Zbl 07701126 Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 16-32 (2023). MSC: 68-XX 35Axx 68Txx 35A01 35A02 49K40 62H30 68T07 68U10 94A08 62M40 65D18 PDFBibTeX XMLCite \textit{T. Barbu}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 16--32 (2023; Zbl 07701126) Full Text: DOI
Hsieh, Hsi-Wei; Charon, Nicolas Weight metamorphosis of varifolds and the LDDMM-Fisher-Rao metric. (English) Zbl 1493.49043 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 165, 41 p. (2022). MSC: 49Q20 68T10 49J15 49K40 PDFBibTeX XMLCite \textit{H.-W. Hsieh} and \textit{N. Charon}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 165, 41 p. (2022; Zbl 1493.49043) Full Text: DOI arXiv
Christof, Constantin; Kowalczyk, Julia On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems. arXiv:2202.12262 Preprint, arXiv:2202.12262 [cs.LG] (2022). MSC: 68T07 49K40 52A30 90C31 BibTeX Cite \textit{C. Christof} and \textit{J. Kowalczyk}, ``On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems'', Preprint, arXiv:2202.12262 [cs.LG] (2022) Full Text: arXiv OA License
Chinneck, John W. Harvey Greenberg: analyzing infeasible mathematical programs. (English) Zbl 1514.00022 Holder, Allen (ed.), Harvey J. Greenberg. A legacy bridging operations research and computing. Cham: Springer. Int. Ser. Oper. Res. Manag. Sci. 295, 65-76 (2021). Reviewer: Torsten Bosse (Argonne) MSC: 00A71 65K05 68T20 49K40 90C05 90C06 90C46 90C51 PDFBibTeX XMLCite \textit{J. W. Chinneck}, Int. Ser. Oper. Res. Manag. Sci. 295, 65--76 (2021; Zbl 1514.00022) Full Text: DOI
Teo, Yong Siah; Sánchez-Soto, Luis L. Modern compressive tomography for quantum information science. (English) Zbl 1486.81027 Int. J. Quantum Inf. 19, No. 8, Article ID 2140003, 35 p. (2021). MSC: 81P18 49K40 68P30 81P15 81P45 81-01 PDFBibTeX XMLCite \textit{Y. S. Teo} and \textit{L. L. Sánchez-Soto}, Int. J. Quantum Inf. 19, No. 8, Article ID 2140003, 35 p. (2021; Zbl 1486.81027) Full Text: DOI arXiv
Zheng, Xiaojun; Huan, Zhongdan; Liu, Jun Well-posedness and convergence of the vector field regularization model in image registration. (Chinese. English summary) Zbl 1488.49047 Acta Math. Sin., Chin. Ser. 64, No. 3, 385-404 (2021). MSC: 49K40 49J45 68U10 94A08 PDFBibTeX XMLCite \textit{X. Zheng} et al., Acta Math. Sin., Chin. Ser. 64, No. 3, 385--404 (2021; Zbl 1488.49047)
Hühnerbein, Ruben; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph Learning adaptive regularization for image labeling using geometric assignment. (English) Zbl 1516.68080 J. Math. Imaging Vis. 63, No. 2, 186-215 (2021). MSC: 68T05 49K40 62B11 65D18 65J22 90C31 PDFBibTeX XMLCite \textit{R. Hühnerbein} et al., J. Math. Imaging Vis. 63, No. 2, 186--215 (2021; Zbl 1516.68080) Full Text: DOI arXiv
Latz, Jonas On the well-posedness of Bayesian inverse problems. (English) Zbl 1437.49050 SIAM/ASA J. Uncertain. Quantif. 8, 451-482 (2020). MSC: 49N45 49K40 62F15 65N21 68Q32 68T05 PDFBibTeX XMLCite \textit{J. Latz}, SIAM/ASA J. Uncertain. Quantif. 8, 451--482 (2020; Zbl 1437.49050) Full Text: DOI arXiv
Zhang, Linan; Schaeffer, Hayden Forward stability of ResNet and its variants. (English) Zbl 1434.68528 J. Math. Imaging Vis. 62, No. 3, 328-351 (2020). MSC: 68T07 34A60 49K40 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{H. Schaeffer}, J. Math. Imaging Vis. 62, No. 3, 328--351 (2020; Zbl 1434.68528) Full Text: DOI arXiv
Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. (English) Zbl 1382.94016 J. Math. Imaging Vis. 59, No. 3, 515-533 (2017). MSC: 94A08 68U10 49K20 49K30 49K40 49M37 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., J. Math. Imaging Vis. 59, No. 3, 515--533 (2017; Zbl 1382.94016) Full Text: DOI
Hintermüller, Michael; Rautenberg, Carlos N. Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. (English) Zbl 1382.94015 J. Math. Imaging Vis. 59, No. 3, 498-514 (2017). MSC: 94A08 68U10 49K20 49K30 49K40 49M37 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{C. N. Rautenberg}, J. Math. Imaging Vis. 59, No. 3, 498--514 (2017; Zbl 1382.94015) Full Text: DOI
Souopgui, Innocent; Ngodock, Hans E.; Vidard, Arthur; Le Dimet, François-Xavier Incremental projection approach of regularization for inverse problems. (English) Zbl 1358.49023 Appl. Math. Optim. 74, No. 2, 303-324 (2016). MSC: 49K40 49M05 68U10 PDFBibTeX XMLCite \textit{I. Souopgui} et al., Appl. Math. Optim. 74, No. 2, 303--324 (2016; Zbl 1358.49023) Full Text: DOI
Wunderli, Thomas Total variation time flow with quantile regression for image restoration. (English) Zbl 1282.49002 J. Math. Anal. Appl. 403, No. 1, 272-282 (2013). MSC: 49J10 49K40 62G08 94A08 68U10 PDFBibTeX XMLCite \textit{T. Wunderli}, J. Math. Anal. Appl. 403, No. 1, 272--282 (2013; Zbl 1282.49002) Full Text: DOI
Fornasier, Massimo; March, Riccardo; Solombrino, Francesco Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data. (English) Zbl 1266.49071 Ann. Mat. Pura Appl. (4) 192, No. 3, 361-391 (2013). MSC: 49N60 49J99 49K40 35J70 65J22 68U10 PDFBibTeX XMLCite \textit{M. Fornasier} et al., Ann. Mat. Pura Appl. (4) 192, No. 3, 361--391 (2013; Zbl 1266.49071) Full Text: DOI
Esedoḡlu, Selim; Santosa, Fadil Error estimates for a bar code reconstruction method. (English) Zbl 1247.68311 Discrete Contin. Dyn. Syst., Ser. B 17, No. 6, 1889-1902 (2012). MSC: 68U10 65R20 65R32 49K40 49N45 PDFBibTeX XMLCite \textit{S. Esedoḡlu} and \textit{F. Santosa}, Discrete Contin. Dyn. Syst., Ser. B 17, No. 6, 1889--1902 (2012; Zbl 1247.68311) Full Text: DOI
Villa, S.; Rosasco, L.; Mosci, S.; Verri, A. Consistency of learning algorithms using Attouch-Wets convergence. (English) Zbl 1236.93157 Optimization 61, No. 1-3, 287-305 (2012). MSC: 93E35 68T05 49K40 65J20 68Q32 PDFBibTeX XMLCite \textit{S. Villa} et al., Optimization 61, No. 1--3, 287--305 (2012; Zbl 1236.93157) Full Text: DOI
Wunderli, Thomas On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions. (English) Zbl 1183.49024 J. Math. Anal. Appl. 364, No. 2, 591-598 (2010). MSC: 49K40 49J20 68U10 94A08 PDFBibTeX XMLCite \textit{T. Wunderli}, J. Math. Anal. Appl. 364, No. 2, 591--598 (2010; Zbl 1183.49024) Full Text: DOI
Aubert, G.; El Hamidi, A.; Ghannam, C.; Ménard, M. On a class of ill-posed minimization problems in image processing. (English) Zbl 1158.49027 J. Math. Anal. Appl. 352, No. 1, 380-399 (2009). MSC: 49K40 68U10 94A08 49M30 PDFBibTeX XMLCite \textit{G. Aubert} et al., J. Math. Anal. Appl. 352, No. 1, 380--399 (2009; Zbl 1158.49027) Full Text: DOI
Dal Passo, Roberta; Giacomelli, Lorenzo; Moll, Salvador Rotationally symmetric 1-harmonic maps from \(D^{2}\) to \(S^{2}\). (English) Zbl 1147.58015 Calc. Var. Partial Differ. Equ. 32, No. 4, 533-554 (2008). MSC: 58E20 49J05 49J45 49K05 49K40 49N60 34B16 76A15 82D40 68U10 PDFBibTeX XMLCite \textit{R. Dal Passo} et al., Calc. Var. Partial Differ. Equ. 32, No. 4, 533--554 (2008; Zbl 1147.58015) Full Text: DOI
Ong, Y. S.; Lum, K. Y.; Nair, P. B. Hybrid evolutionary algorithm with Hermite radial basis function interpolants for computationally expensive adjoint solvers. (English) Zbl 1147.49301 Comput. Optim. Appl. 39, No. 1, 97-119 (2008). MSC: 49K10 49K40 65D05 68T05 92D15 PDFBibTeX XMLCite \textit{Y. S. Ong} et al., Comput. Optim. Appl. 39, No. 1, 97--119 (2008; Zbl 1147.49301) Full Text: DOI Link
Durand, Sylvain; Nikolova, Mila Denoising of frame coefficients using \(\ell^1\) data-fidelity term and edge-preserving regularization. (English) Zbl 1147.49025 Multiscale Model. Simul. 6, No. 2, 547-576 (2007). MSC: 49N45 68U10 94A08 49K40 PDFBibTeX XMLCite \textit{S. Durand} and \textit{M. Nikolova}, Multiscale Model. Simul. 6, No. 2, 547--576 (2007; Zbl 1147.49025) Full Text: DOI
Kirichenko, N. F.; Slabospitsky, A. S. Simultaneous estimation of states and parameters in control systems with incomplete data. (English) Zbl 0589.93013 Stochastic optimization, Proc. Int. Conf., Kiev/USSR 1984, Lect. Notes Control Inf. Sci. 81, 657-668 (1986). MSC: 93B30 49K40 93C15 68T10 93D05 PDFBibTeX XML