François Monard

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Guillaume BalProfessor of Applied Mathematics, University of ChicagoVerified email at uchicago.edu
Gabriel PaternainUniversity of CambridgeVerified email at dpmms.cam.ac.uk
Richard NicklUniversity of CambridgeVerified email at statslab.cam.ac.uk
Gunther UhlmannUniversity of WashingtonVerified email at math.washington.edu
Plamen StefanovPurdue UniversityVerified email at math.purdue.edu
chenxi guoPh.D student in Applied Mathematics, Columbia UniversityVerified email at columbia.edu
Faouzi TrikiGrenoble-Alpes University, GrenobleVerified email at univ-grenoble-alpes.fr
Eric BonnetierUniversité Grenoble-AlpesVerified email at univ-grenoble-alpes.fr
Ian LangmoreGoogleVerified email at google.com
Cédric BellisAix Marseille Univ, CNRS, Centrale Marseille, LMA UMR 7031, Marseille, FranceVerified email at lma.cnrs-mrs.fr
Sébastien ImperialeInria Saclay, Project-Team M3DISIMVerified email at inria.fr
Joonas IlmavirtaAcademy research fellow, University of JyväskyläVerified email at jyu.fi
Axel OssesPhD Applied Mathematics (U. de Chile)Verified email at dim.uchile.cl
Sean HolmanDepartment of Mathematics, University of ManchesterVerified email at manchester.ac.uk
Yernat AssylbekovSuper DispatchVerified email at superdispatch.com
Francisco Romero-HinrichsenUniversity Assistant, University of GrazVerified email at uni-graz.at
colin guillarmouUniversité Paris SaclayVerified email at math.cnrs.fr
Rohit Kumar MishraIndian Institute of Technology GandhinagarVerified email at iitgn.ac.in

François Monard

University of California Santa Cruz

Verified email at ucsc.edu - Homepage

Inverse problems analysis partial differential equations integral geometry


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Inverse diffusion from knowledge of power densities G Bal, E Bonnetier, F Monard, F Triki arXiv preprint arXiv:1110.4577, 2011	95	2011
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms F Monard, R Nickl, GP Paternain Communications on Pure and Applied Mathematics 74 (5), 1045-1099, 2021	74	2021
Efficient nonparametric Bayesian inference for X-ray transforms F Monard, R Nickl, GP Paternain The Annals of Statistics 47 (2), 1113-1147, 2019	69	2019
Integral geometry on manifolds with boundary and applications J Ilmavirta, F Monard The Radon Transform: The First 100, 43-114, 2019	64	2019
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors F Monard, R Nickl, GP Paternain The Annals of Statistics 49 (6), 3255-3298, 2021	54	2021
Inverse transport with isotropic sources and angularly averaged measurements G Bal, I Langmore, F Monard Inverse Probl. Imaging 2 (1), 23-42, 2008	52	2008
Numerical implementation of geodesic X-ray transforms and their inversion F Monard SIAM Journal on Imaging Sciences 7 (2), 1335-1357, 2014	51	2014
Inverse anisotropic diffusion from power density measurements in two dimensions F Monard, G Bal Inverse Problems 28 (8), 084001, 2012	50	2012
Inverse diffusion problems with redundant internal information F Monard, G Bal arXiv preprint arXiv:1106.4277, 2011	50	2011
The geodesic ray transform on Riemannian surfaces with conjugate points F Monard, P Stefanov, G Uhlmann Communications in Mathematical Physics 337 (3), 1491-1513, 2015	48	2015
Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements G Bal, C Bellis, S Imperiale, F Monard Inverse problems 30 (12), 125004, 2014	43	2014
Efficient tensor tomography in fan-beam coordinates F Monard arXiv preprint arXiv:1510.05132, 2015	42	2015
Inverse anisotropic conductivity from power densities in dimension n≥ 3 F Monard, G Bal Communications in Partial Differential Equations 38 (7), 1183-1207, 2013	39	2013
Inverse anisotropic conductivity from internal current densities G Bal, C Guo, F Monard Inverse Problems 30 (2), 025001, 2014	37	2014
Inversion of the attenuated geodesic X-ray transform over functions and vector fields on simple surfaces F Monard SIAM Journal on Mathematical Analysis 48 (2), 1155-1177, 2016	34	2016
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields G Bal, F Monard, G Uhlmann SIAM Journal on Applied Mathematics 75 (5), 2214-2231, 2015	31	2015
The attenuated geodesic x-ray transform S Holman, F Monard, P Stefanov Inverse Problems 34 (6), 064003, 2018	26	2018
Inversion formulas and range characterizations for the attenuated geodesic ray transform YM Assylbekov, F Monard, G Uhlmann Journal de Mathématiques Pures et Appliquées 111, 161-190, 2018	23	2018
On solenoidal-injective and injective ray transforms of tensor fields on surfaces VP Krishnan, RK Mishra, F Monard Journal of Inverse and Ill-posed Problems 27 (4), 527-538, 2019	22	2019
Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms F Monard arXiv preprint arXiv:1704.08294, 2017	22	2017

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