Variational Formulations and Empirical Studies

  • ‘Optimal convergence rates results for linear inverse problems in Hilbert spaces’, Numerical Functional Analysis and Optimization 37 (2016) 521-540, doi: 10.1080/01630563.2016.1144070, with V. Albani, P. Elbau and O. Scherzer View pdf
  • ‘Local analysis of inverse problems: Hölder stability and iterative reconstruction’, Inverse Problems 28 (2012) 045001, doi:10.1088/0266-5611/28/4/045001, with L. Qiu and O. Scherzer View pdf
  • ‘An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints’, Numerische Mathematik 129 (2015) 127-148, doi: 10.1007/s00211-014-0629-x, with L. Qiu. and O. Scherzer View pdf
  • ‘Inverse boundary value problem for the Helmholtz equation: Quantitative conditional Lipschitz stability estimates’, SIAM J. Math. Anal. 48 (2016) 3962-3983, doi: 10.1137/15M1043856, with E. Beretta, F. Faucher and O. Scherzer View pdf
  • ‘Inverse problem for the Helmholtz equation with Cauchy data: Reconstruction with conditional well-posedness driven iterative regularization’, ESAIM: Mathematical Modeling and Numerical Analysis 53 (2019) 1005-1030, doi:10.1051/m2an/2019009, with G. Alessandrini, F. Faucher, R. Gaburro and E. Sincich View pdf
  • ‘Parsimonious seismic tomography with Poisson-Voronoi projections: Methodology and validation’, Seismological Research Letters 91 (2019) 343-355, doi:10.1785/0220190141, with H. Fang, R.D. van der Hilst, K. Kothari, S. Gupta and I. Dokmanić View pdf
  • ‘Fast factorization update for general elliptic equations under multiple coefficient updates’, SIAM J. Sci. Comp. 42 (2020) A1174-A1199, doi:10.1137/18M1224623, with X. Liu and J. Xia View pdf
  • ‘Full reciprocity-gap waveform inversion, enabling sparse-source acquisition’, Geophysics 85 (6) (2020) R461–R476, doi:10.1190/geo2019-0527.1, with F. Faucher, G. Alessandrini, H. Barucq, R. Gaburro and E. Sincich View pdf
  • ‘A numerical study of multi-parameter full waveform inversion with iterative regularization using multi-frequency vibroseis data’, Comp. Geosc. 24 (2020) 89–107, doi:10.1007/s10596-019-09897-6, with J. Shi, E. Beretta, E. Francini and S. Vessella View pdf
  • ‘Learning the Electrical Impedance Tomography inversion operator’, (2023) with N. B. Kovachki, N. H. Nelsen and A. M. Stuart, not available yet
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