LB
Liliana Borcea
cs.NAmath.NAmath.APmath.MPmath-pheess.SPmath.OCphysics.geo-phphysics.opticscs.IT
On Valency
published · living versionsW_e6rp4zmv·v1 · currentpublished
A model reduction approach to numerical inversion for a parabolic partial differential equation
with Vladimir Druskin, Alexander V. Mamonov, Mikhail Zaslavsky
1 version
Preprints & journals
55 papers in the corpus · 2002–2026ROMNet: a hybrid reduced order modeling and machine learning approach to waveform inversion2608.25160v1 · Liliana Borcea, Alexander Mamonov, Kui Ren et al.2026 · 0 citationsarXiv
Correlated phase screens for beams in extreme turbulence.42863019 · Borcea, Liliana, Garnier, Josselin, Sølna, Knut2026 · 2 citationsJournal of the Optical Society of America. A, Optics, image science, and vision. 2026;43(7):C6-C19
Quantitative synthetic aperture radar inversion2601.20583v1 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2026 · 0 citationsarXiv
Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion2505.08937v1 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2025 · 2 citationsSIAM Journal on Imaging Sciences Vol. 18, Iss. 2 (2025) 10.1137/24M1699784
Electromagnetic inverse wave scattering in anisotropic media via reduced order modeling2403.03844v1 · Liliana Borcea, Yiyang Liu, Jorn Zimmerling2024 · 2 citationsarXiv
Enhanced wave transmission in random media with mirror symmetry2401.15757v1 · Liliana Borcea, Josselin Garnier2024 · 4 citationsarXiv
When data driven reduced order modeling meets full waveform inversion2302.05988v3 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2023 · 7 citationsarXiv
Waveform inversion with a data driven estimate of the internal wave2208.11051v2 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2022 · 17 citationsarXiv
Velocity estimation via model order reduction2208.01209v1 · Alexander V. Mamonov, Liliana Borcea, Josselin Garnier et al.2022 · 2 citationsarXiv
Paraxial wave propagation in random media with long-range correlations2205.04451v1 · Liliana Borcea, Josselin Garnier, Knut Solna2022 · 3 citationsarXiv
Waveform inversion via reduced order modeling2202.01824v5 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2022 · 17 citationsarXiv
Reduced order model approach for imaging with waves2108.01609v1 · Liliana Borcea, Josselin Garnier, Alexander V. Mamonov et al.2021 · 15 citationsarXiv
Imaging in random media by two-point coherent interferometry2105.12174v1 · Liliana Borcea, Josselin Garnier2021 · 0 citationsarXiv
A reduced order model approach to inverse scattering in lossy layered media2012.00861v4 · Liliana Borcea, Vladimir Druskin, Jorn Zimmerling2020 · 19 citationsarXiv
Multimode communication through the turbulent atmosphere.32400702 · Borcea, Liliana, Garnier, Josselin, Sølna, Knut2020 · 13 citationsJournal of the Optical Society of America. A, Optics, image science, and vision. 2020;37(5):720-730
Multiplexing schemes for optical communication through atmospheric turbulence1912.02665v1 · Liliana Borcea, Josselin Garnier, Knut Solna2019 · 0 citationsarXiv
Reduced Order Model Approach to Inverse Scattering1910.13014v2 · Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov et al.2019 · 27 citationsarXiv
Reduced order models for spectral domain inversion: Embedding into the continuous problem and generation of internal data1909.06460v1 · Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov et al.2019 · 17 citationsarXiv
High-Resolution Interferometric Synthetic Aperture Imaging in scattering media1907.02514v1 · Liliana Borcea, Josselin Garnier2019 · 7 citationsarXiv
Factorization method versus migration imaging in a waveguide1903.08146v1 · Liliana Borcea, Shixu Meng2019 · 17 citationsarXiv
Wave propagation in randomly perturbed weakly coupled waveguides1812.01131v1 · Liliana Borcea, Josselin Garnier2018 · 5 citationsarXiv
A direct approach to imaging in a waveguide with perturbed geometry1810.04705v1 · Liliana Borcea, Fioralba Cakoni, Shixu Meng2018 · 9 citationsarXiv
Wave propagation and imaging in moving random media1806.06217v1 · Liliana Borcea, Josselin Garnier, Knut Solna2018 · 11 citationsarXiv
Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models1805.03747v1 · Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov et al.2018 · 19 citationsarXiv
A ghost imaging modality in a random waveguide1804.00549v2 · Liliana Borcea, Josselin Garnier2018 · 2 citationsarXiv
Passive array imaging in random media1712.04934v1 · Liliana Borcea, Ilker Kocyigit2017 · 4 citationsarXiv
A Multiple Measurement Vector Approach To Synthetic Aperture Radar Imaging1708.01343v2 · Liliana Borcea, Ilker Kocyigit2017 · 5 citationsarXiv
Laser beam imaging from the speckle pattern of the off-axis scattered intensity1707.08452v1 · Liliana Borcea, Josselin Garnier2017 · 6 citationsarXiv
Untangling the nonlinearity in inverse scattering with data-driven reduced order models1704.08375v2 · Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov et al.2017 · 28 citationsInverse Problems 34(6):065008, 2018
Transport of power in random waveguides with turning points1702.03921v1 · Liliana Borcea, Josselin Garnier, Derek Wood2017 · 7 citationsarXiv
Second-Harmonic Imaging in Random Media1611.02774v1 · Liliana Borcea, Wei Li, Alexander V. Mamonov et al.2016 · 3 citationsarXiv
Pulse reflection in a random waveguide with a turning point1609.04435v1 · Liliana Borcea, Josselin Garnier2016 · 1 citationarXiv
Imaging in random media with convex optimization1607.04625v1 · Liliana Borcea, Ilker Kocyigit2016 · 5 citationsarXiv
Time and direction of arrival detection and filtering for imaging in strongly scattering random media1603.05223v1 · Liliana Borcea, George Papanicolaou, Chrysoula Tsogka2016 · 6 citationsarXiv
Robust imaging with electromagnetic waves in noisy environments1603.02222v1 · Liliana Borcea, Josselin Garnier2016 · 6 citationsarXiv
Derivation of a one-way radiative transfer equation in random media.26986296 · Borcea, Liliana, Garnier, Josselin2016 · 15 citationsPhysical review. E. 2016;93(2):022115
A discrete Liouville identity for numerical reconstruction of Schrödinger potentials1601.07603v1 · Liliana Borcea, Fernando Guevara Vasquez, Alexander V. Mamonov2016 · 5 citationsInverse Problems and Imaging 11(4):623-641, 2017
Imaging with electromagnetic waves in terminating waveguides1510.07062v1 · Liliana Borcea, Dinh-Liem Nguyen2015 · 13 citationsarXiv
Polarization effects for electromagnetic wave propagation in random media1509.06960v2 · Liliana Borcea, Josselin Garnier2015 · 1 citationarXiv
Synthetic Aperture Imaging of Direction and Frequency Dependent Reflectivities1508.04833v2 · Liliana Borcea, Miguel Moscoso, George Papanicolaou et al.2015 · 11 citationsarXiv
Resolution analysis of imaging with optimization1507.00586v1 · Liliana Borcea, Ilker Kocyigit2015 · 14 citationsarXiv
Pulse propagation in time dependent randomly layered media1408.3749v3 · Liliana Borcea, Knut Solna2014 · 6 citationsarXiv
Source estimation with incoherent waves in random waveguides1408.1937v2 · Sebastian Acosta, Ricardo Alonso, Liliana Borcea2014 · 2 citationsInverse Problems 31:035013, 2015
Electromagnetic wave propagation in random waveguides1310.4890v1 · Ricardo Alonso, Liliana Borcea2013 · 17 citationsarXiv
Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media1307.4002v2 · Liliana Borcea, Yuliya Gorb, Yingpei Wang2013 · 4 citationsarXiv
A quantitative study of source imaging in random waveguides1306.1544v1 · Liliana Borcea, Josselin Garnier, Chrysoula Tsogka2013 · 18 citationsarXiv
Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries1211.0468v1 · Liliana Borcea, Josselin Garnier2012 · 20 citationsarXiv
Motion Estimation and Imaging of Complex Scenes with Synthetic Aperture Radar1210.6024v1 · Liliana Borcea, Thomas Callaghan, George Papanicolaou2012 · 8 citationsarXiv
A model reduction approach to numerical inversion for a parabolic partial differential equation1210.1257v5 · Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov et al.2012 · 31 citationsInverse Problems 30(12):125011, 2014on Valency
Synthetic Aperture Radar Imaging and Motion Estimation via Robust Principle Component Analysis1208.3700v2 · Liliana Borcea, Thomas Callaghan, George Papanicolaou2012 · 5 citationsarXiv
Career total: 183 works. 55 are in this corpus.Showing the 50 most recent.
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