Inverse problem (English Wikipedia)

Cardenas, IC (2019). "On the use of Bayesian networks as a meta-modeling approach to analyse uncertainties in slope stability analysis". Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards. 13 (1): 53–65. Bibcode:2019GAMRE..13...53C. doi:10.1080/17499518.2018.1498524. S2CID 216590427.
Ambartsumian, Rouben V. (1998). "A life in astrophysics. Selected papers of Viktor A. Ambartsumian". Astrophysics. 41 (4): 328–330. doi:10.1007/BF02894658. S2CID 118952753.
Burridge, Robert (1980). "The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems". Wave Motion. 2 (4): 305–323. Bibcode:1980WaMot...2..305B. doi:10.1016/0165-2125(80)90011-6.
Huang, Yunfei.; et al. (2019). "Traction force microscopy with optimized regularization and automated Bayesian parameter selection for comparing cells". Scientific Reports. 9 (1): 537. arXiv:1810.05848. Bibcode:2019NatSR...9..539H. doi:10.1038/s41598-018-36896-x. PMC 6345967. PMID 30679578.
Tarantola, Albert (2005). "Front Matter" (PDF). Inverse Problem Theory and Methods for Model Parameter Estimation. SIAM. pp. i–xii. doi:10.1137/1.9780898717921.fm. ISBN 978-0-89871-572-9.
Ben Ameur, Hend; Chavent, Guy; Jaffré, Jérôme (2002). "Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities" (PDF). Inverse Problems. 18 (3): 775–794. Bibcode:2002InvPr..18..775B. doi:10.1088/0266-5611/18/3/317. S2CID 250892174.
Zenil, Hector; Kiani, Narsis A.; Zea, Allan A.; Tegnér, Jesper (2019). "Causal deconvolution by algorithmic generative models". Nature Machine Intelligence. 1 (1): 58–66. doi:10.1038/s42256-018-0005-0.
Zenil, Hector (25 July 2020). "Algorithmic Information Dynamics". Scholarpedia. 15 (7). Bibcode:2020SchpJ..1553143Z. doi:10.4249/scholarpedia.53143. hdl:10754/666314.
Zenil, Hector; Kiani, Narsis A.; Tegner, Jesper (2023). Algorithmic Information Dynamics: A Computational Approach to Causality with Applications to Living Systems. Cambridge University Press. doi:10.1017/9781108596619. ISBN 978-1-108-59661-9.
Zenil, Hector; Kiani, N. A.; Marabita, F.; Deng, Y.; Elias, S.; Schmidt, A.; Ball, G.; Tegnér, J. (2019). "An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems". Science. 19: 1160–1172. Bibcode:2019iSci...19.1160Z. doi:10.1016/j.isci.2019.07.043. PMC 6831824. PMID 31541920.
Delprat-Jannaud, Florence; Lailly, Patrick (1993). "Ill-posed and well-posed formulations of the reflection travel time tomography problem". Journal of Geophysical Research. 98 (B4): 6589–6605. Bibcode:1993JGR....98.6589D. doi:10.1029/92JB02441.
Delprat-Jannaud, Florence; Lailly, Patrick (1992). "What information on the Earth model do reflection traveltimes provide". Journal of Geophysical Research. 98 (B13): 827–844. Bibcode:1992JGR....9719827D. doi:10.1029/92JB01739.
Backus, George; Gilbert, Freeman (1968). "The Resolving Power of Gross Earth Data". Geophysical Journal of the Royal Astronomical Society. 16 (10): 169–205. Bibcode:1968GeoJ...16..169B. doi:10.1111/j.1365-246X.1968.tb00216.x.
Abeida, Habti; Zhang, Qilin; Li, Jian; Merabtine, Nadjim (2013). "Iterative Sparse Asymptotic Minimum Variance Based Approaches for Array Processing" (PDF). IEEE Transactions on Signal Processing. 61 (4): 933–944. arXiv:1802.03070. Bibcode:2013ITSP...61..933A. doi:10.1109/tsp.2012.2231676. ISSN 1053-587X. S2CID 16276001.
Lambaré, Gilles; Virieux, Jean; Madariaga, Raul; Jin, Side (1992). "Iterative asymptotic inversion in the acoustic approximation". Geophysics. 57 (9): 1138–1154. Bibcode:1992Geop...57.1138L. doi:10.1190/1.1443328. S2CID 55836067.
Beylkin, Gregory (1984). "The inversion problem and applications of The generalized Radon transform" (PDF). Communications on Pure and Applied Mathematics. XXXVII (5): 579–599. doi:10.1002/cpa.3160370503.
Beylkin, Gregory (1985). "Imaging of discontinuities in the inverse scaterring problem by inversion of a causal generalized Radon transform". J. Math. Phys. 26 (1): 99–108. Bibcode:1985JMP....26...99B. doi:10.1063/1.526755.
Bleistein, Norman (1987). "On the imaging of reflectors in the earth". Geophysics. 52 (7): 931–942. Bibcode:1987Geop...52..931B. doi:10.1190/1.1442363. S2CID 5095133.
Nemeth, Tamas; Wu, Chengjun; Schuster, Gerard (1999). "Least-squares migration of incomplete reflection data" (PDF). Geophysics. 64 (1): 208–221. Bibcode:1999Geop...64..208N. doi:10.1190/1.1444517.
Tarantola, Albert (1984). "Inversion of seismic reflection data in the acoustic approximation". Geophysics. 49 (8): 1259–1266. Bibcode:1984Geop...49.1259T. doi:10.1190/1.1441754. S2CID 7596552.
Marsh, Tom (2005). "Doppler tomography". Astrophysics and Space Science. 296 (1–4): 403–415. arXiv:astro-ph/0011020. Bibcode:2005Ap&SS.296..403M. doi:10.1007/s10509-005-4859-3. S2CID 15334110.
Stolz, G. Jr. (1960). "Numerical solutions to an inverse problem of heat conduction for simple shapes". Journal of Heat Transfer. 82: 20–26. doi:10.1115/1.3679871.
Beck, J. V.; Blackwell, B.; Haji-Sheikh, B. (1996). "Comparison of some inverse heat conduction methods using experimental data". International Journal of Heat and Mass Transfer. 39 (17): 3649–3657. Bibcode:1996IJHMT..39.3649B. doi:10.1016/0017-9310(96)00034-8.
Chavent, Guy; Lemonnier, Patrick; Dupuy, Michel (1975). "History Matching by Use of Optimal Control Theory". Society of Petroleum Engineers Journal. 15 (2): 74–86. doi:10.2118/4627-PA.
Chavent, Guy; Cohen, Gary; Espy, M. (1980). "Determination of relative permeabilities and capillary pressures by an automatic adjustment method". Society of Petroleum Engineers (January). doi:10.2118/9237-MS.
Bamberger, Alain; Chavent, Guy; Lailly, Patrick (1979). "About the stability of the inverse problem in the 1D wave equation, application to the interpretation of the seismic profiles". Journal of Applied Mathematics and Optimization. 5: 1–47. doi:10.1007/bf01442542. S2CID 122428594.
Macé, Danièle; Lailly, Patrick (1986). "Solution of the VSP one dimensional inverse problem". Geophysical Prospecting. 34 (7): 1002–1021. Bibcode:1986GeopP..34.1002M. doi:10.1111/j.1365-2478.1986.tb00510.x. OSTI 6901651.
Virieux, Jean; Operto, Stéphane (2009). "An overview of full-waveform inversion in exploration geophysics". Geophysics. 74 (6): WCC1 – WCC26. doi:10.1190/1.3238367.
Clément, François; Chavent, Guy; Gomez, Suzana (2001). "Migration-based traveltime waveform inversion of 2-D simple structures: A synthetic example". Geophysics. 66 (3): 845–860. Bibcode:2001Geop...66..845C. doi:10.1190/1.1444974.
Symes, William; Carrazone, Jim (1991). "Velocity inversion by Differential semblance optimization". Geophysics. 56 (5): 654–663. Bibcode:1991Geop...56..654S. doi:10.1190/1.1443082.
Koren, Zvi; Mosegaard, Klaus; Landa, Evgeny; Thore, Pierre; Tarantola, Albert (1991). "Monte Carlo Estimation and Resolution Analysis of Seismic Background Velocities". Journal of Geophysical Research. 96 (B12): 20289–20299. Bibcode:1991JGR....9620289K. doi:10.1029/91JB02278.
Tahmasebi, Pejman; Javadpour, Farzam; Sahimi, Muhammad (August 2016). "Stochastic shale permeability matching: Three-dimensional characterization and modeling". International Journal of Coal Geology. 165: 231–242. Bibcode:2016IJCG..165..231T. doi:10.1016/j.coal.2016.08.024.
Plessix, René (2006). "A review of the adjoint-state method for computing the gradient of a functional with geophysical applications". Geophysical Journal International. 167 (2): 495–503. Bibcode:2006GeoJI.167..495P. doi:10.1111/j.1365-246X.2006.02978.x.
Taslimian, Rohollah; Jaganathan, Arun P. (2024). "Inversion of circumferential elastic waves for characterization of concrete pipes". Wave Motion. 127: 103272. Bibcode:2024WaMot.12703272T. doi:10.1016/j.wavemoti.2024.103272.
Grech, Roberta; Cassar, Tracey; Muscat, Joseph; Camilleri, Kenneth P.; Fabri, Simon G.; Zervakis, Michalis; Xanthopoulos, Petros; Sakkalis, Vangelis; Vanrumste, Bart (2008-11-07). "Review on solving the inverse problem in EEG source analysis". Journal of Neuroengineering and Rehabilitation. 5: 25. doi:10.1186/1743-0003-5-25. ISSN 1743-0003. PMC 2605581. PMID 18990257.
Tahmasebi, Pejman; Javadpour, Farzam; Sahimi, Muhammad (August 2016). "Stochastic shale permeability matching: Three-dimensional characterization and modeling". International Journal of Coal Geology. 165: 231–242. Bibcode:2016IJCG..165..231T. doi:10.1016/j.coal.2016.08.024.
Knighton, James; Singh, Kanishka; Evaristo, Jaivime (2020). "Understanding Catchment-Scale Forest Root Water Uptake Strategies Across the Continental United States Through Inverse Ecohydrological Modeling". Geophysical Research Letters. 47 (1): e2019GL085937. Bibcode:2020GeoRL..4785937K. doi:10.1029/2019GL085937. ISSN 1944-8007. S2CID 213914582.
Forney, David C.; Rothman, Daniel H. (2012-09-07). "Common structure in the heterogeneity of plant-matter decay". Journal of the Royal Society Interface. 9 (74): 2255–2267. Bibcode:2012JRSI....9.2255F. doi:10.1098/rsif.2012.0122. PMC 3405759. PMID 22535699.

handle.net

hdl.handle.net

Zenil, Hector (25 July 2020). "Algorithmic Information Dynamics". Scholarpedia. 15 (7). Bibcode:2020SchpJ..1553143Z. doi:10.4249/scholarpedia.53143. hdl:10754/666314.

harvard.edu

ui.adsabs.harvard.edu

Cardenas, IC (2019). "On the use of Bayesian networks as a meta-modeling approach to analyse uncertainties in slope stability analysis". Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards. 13 (1): 53–65. Bibcode:2019GAMRE..13...53C. doi:10.1080/17499518.2018.1498524. S2CID 216590427.
Burridge, Robert (1980). "The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems". Wave Motion. 2 (4): 305–323. Bibcode:1980WaMot...2..305B. doi:10.1016/0165-2125(80)90011-6.
Huang, Yunfei.; et al. (2019). "Traction force microscopy with optimized regularization and automated Bayesian parameter selection for comparing cells". Scientific Reports. 9 (1): 537. arXiv:1810.05848. Bibcode:2019NatSR...9..539H. doi:10.1038/s41598-018-36896-x. PMC 6345967. PMID 30679578.
Ben Ameur, Hend; Chavent, Guy; Jaffré, Jérôme (2002). "Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities" (PDF). Inverse Problems. 18 (3): 775–794. Bibcode:2002InvPr..18..775B. doi:10.1088/0266-5611/18/3/317. S2CID 250892174.
Zenil, Hector (25 July 2020). "Algorithmic Information Dynamics". Scholarpedia. 15 (7). Bibcode:2020SchpJ..1553143Z. doi:10.4249/scholarpedia.53143. hdl:10754/666314.
Zenil, Hector; Kiani, N. A.; Marabita, F.; Deng, Y.; Elias, S.; Schmidt, A.; Ball, G.; Tegnér, J. (2019). "An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems". Science. 19: 1160–1172. Bibcode:2019iSci...19.1160Z. doi:10.1016/j.isci.2019.07.043. PMC 6831824. PMID 31541920.
Delprat-Jannaud, Florence; Lailly, Patrick (1993). "Ill-posed and well-posed formulations of the reflection travel time tomography problem". Journal of Geophysical Research. 98 (B4): 6589–6605. Bibcode:1993JGR....98.6589D. doi:10.1029/92JB02441.
Delprat-Jannaud, Florence; Lailly, Patrick (1992). "What information on the Earth model do reflection traveltimes provide". Journal of Geophysical Research. 98 (B13): 827–844. Bibcode:1992JGR....9719827D. doi:10.1029/92JB01739.
Backus, George; Gilbert, Freeman (1968). "The Resolving Power of Gross Earth Data". Geophysical Journal of the Royal Astronomical Society. 16 (10): 169–205. Bibcode:1968GeoJ...16..169B. doi:10.1111/j.1365-246X.1968.tb00216.x.
Pijpers, Frank; Thompson, Michael (1993). "The SOLA method for helioseismic inversion". Astronomy and Astrophysics. 281 (12): 231–240. Bibcode:1994A&A...281..231P.
Abeida, Habti; Zhang, Qilin; Li, Jian; Merabtine, Nadjim (2013). "Iterative Sparse Asymptotic Minimum Variance Based Approaches for Array Processing" (PDF). IEEE Transactions on Signal Processing. 61 (4): 933–944. arXiv:1802.03070. Bibcode:2013ITSP...61..933A. doi:10.1109/tsp.2012.2231676. ISSN 1053-587X. S2CID 16276001.
Lambaré, Gilles; Virieux, Jean; Madariaga, Raul; Jin, Side (1992). "Iterative asymptotic inversion in the acoustic approximation". Geophysics. 57 (9): 1138–1154. Bibcode:1992Geop...57.1138L. doi:10.1190/1.1443328. S2CID 55836067.
Beylkin, Gregory (1985). "Imaging of discontinuities in the inverse scaterring problem by inversion of a causal generalized Radon transform". J. Math. Phys. 26 (1): 99–108. Bibcode:1985JMP....26...99B. doi:10.1063/1.526755.
Bleistein, Norman (1987). "On the imaging of reflectors in the earth". Geophysics. 52 (7): 931–942. Bibcode:1987Geop...52..931B. doi:10.1190/1.1442363. S2CID 5095133.
Nemeth, Tamas; Wu, Chengjun; Schuster, Gerard (1999). "Least-squares migration of incomplete reflection data" (PDF). Geophysics. 64 (1): 208–221. Bibcode:1999Geop...64..208N. doi:10.1190/1.1444517.
Tarantola, Albert (1984). "Inversion of seismic reflection data in the acoustic approximation". Geophysics. 49 (8): 1259–1266. Bibcode:1984Geop...49.1259T. doi:10.1190/1.1441754. S2CID 7596552.
Marsh, Tom (2005). "Doppler tomography". Astrophysics and Space Science. 296 (1–4): 403–415. arXiv:astro-ph/0011020. Bibcode:2005Ap&SS.296..403M. doi:10.1007/s10509-005-4859-3. S2CID 15334110.
Beck, J. V.; Blackwell, B.; Haji-Sheikh, B. (1996). "Comparison of some inverse heat conduction methods using experimental data". International Journal of Heat and Mass Transfer. 39 (17): 3649–3657. Bibcode:1996IJHMT..39.3649B. doi:10.1016/0017-9310(96)00034-8.
Macé, Danièle; Lailly, Patrick (1986). "Solution of the VSP one dimensional inverse problem". Geophysical Prospecting. 34 (7): 1002–1021. Bibcode:1986GeopP..34.1002M. doi:10.1111/j.1365-2478.1986.tb00510.x. OSTI 6901651.
Clément, François; Chavent, Guy; Gomez, Suzana (2001). "Migration-based traveltime waveform inversion of 2-D simple structures: A synthetic example". Geophysics. 66 (3): 845–860. Bibcode:2001Geop...66..845C. doi:10.1190/1.1444974.
Symes, William; Carrazone, Jim (1991). "Velocity inversion by Differential semblance optimization". Geophysics. 56 (5): 654–663. Bibcode:1991Geop...56..654S. doi:10.1190/1.1443082.
Koren, Zvi; Mosegaard, Klaus; Landa, Evgeny; Thore, Pierre; Tarantola, Albert (1991). "Monte Carlo Estimation and Resolution Analysis of Seismic Background Velocities". Journal of Geophysical Research. 96 (B12): 20289–20299. Bibcode:1991JGR....9620289K. doi:10.1029/91JB02278.
Tahmasebi, Pejman; Javadpour, Farzam; Sahimi, Muhammad (August 2016). "Stochastic shale permeability matching: Three-dimensional characterization and modeling". International Journal of Coal Geology. 165: 231–242. Bibcode:2016IJCG..165..231T. doi:10.1016/j.coal.2016.08.024.
Plessix, René (2006). "A review of the adjoint-state method for computing the gradient of a functional with geophysical applications". Geophysical Journal International. 167 (2): 495–503. Bibcode:2006GeoJI.167..495P. doi:10.1111/j.1365-246X.2006.02978.x.
Taslimian, Rohollah; Jaganathan, Arun P. (2024). "Inversion of circumferential elastic waves for characterization of concrete pipes". Wave Motion. 127: 103272. Bibcode:2024WaMot.12703272T. doi:10.1016/j.wavemoti.2024.103272.
Tahmasebi, Pejman; Javadpour, Farzam; Sahimi, Muhammad (August 2016). "Stochastic shale permeability matching: Three-dimensional characterization and modeling". International Journal of Coal Geology. 165: 231–242. Bibcode:2016IJCG..165..231T. doi:10.1016/j.coal.2016.08.024.
Knighton, James; Singh, Kanishka; Evaristo, Jaivime (2020). "Understanding Catchment-Scale Forest Root Water Uptake Strategies Across the Continental United States Through Inverse Ecohydrological Modeling". Geophysical Research Letters. 47 (1): e2019GL085937. Bibcode:2020GeoRL..4785937K. doi:10.1029/2019GL085937. ISSN 1944-8007. S2CID 213914582.
Forney, David C.; Rothman, Daniel H. (2012-09-07). "Common structure in the heterogeneity of plant-matter decay". Journal of the Royal Society Interface. 9 (74): 2255–2267. Bibcode:2012JRSI....9.2255F. doi:10.1098/rsif.2012.0122. PMC 3405759. PMID 22535699.

inria.fr

hal.inria.fr

Ben Ameur, Hend; Chavent, Guy; Jaffré, Jérôme (2002). "Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities" (PDF). Inverse Problems. 18 (3): 775–794. Bibcode:2002InvPr..18..775B. doi:10.1088/0266-5611/18/3/317. S2CID 250892174.
Chavent, Guy (1998). Least-Squares, Sentinels and Substractive Optimally Localized Average in Equations aux dérivées partielles et applications. Paris: Gauthier Villars. pp. 345–356.

ipgp.fr

Tarantola, Albert (2005). "Front Matter" (PDF). Inverse Problem Theory and Methods for Model Parameter Estimation. SIAM. pp. i–xii. doi:10.1137/1.9780898717921.fm. ISBN 978-0-89871-572-9.

jmlr.org

Vito, Ernesto De, et al. "Learning from examples as an inverse problem." Journal of Machine Learning Research 6.May (2005): 883-904.

kaust.edu.sa

csim.kaust.edu.sa

Nemeth, Tamas; Wu, Chengjun; Schuster, Gerard (1999). "Least-squares migration of incomplete reflection data" (PDF). Geophysics. 64 (1): 208–221. Bibcode:1999Geop...64..208N. doi:10.1190/1.1444517.

nih.gov

ncbi.nlm.nih.gov

Huang, Yunfei.; et al. (2019). "Traction force microscopy with optimized regularization and automated Bayesian parameter selection for comparing cells". Scientific Reports. 9 (1): 537. arXiv:1810.05848. Bibcode:2019NatSR...9..539H. doi:10.1038/s41598-018-36896-x. PMC 6345967. PMID 30679578.
Zenil, Hector; Kiani, N. A.; Marabita, F.; Deng, Y.; Elias, S.; Schmidt, A.; Ball, G.; Tegnér, J. (2019). "An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems". Science. 19: 1160–1172. Bibcode:2019iSci...19.1160Z. doi:10.1016/j.isci.2019.07.043. PMC 6831824. PMID 31541920.
Grech, Roberta; Cassar, Tracey; Muscat, Joseph; Camilleri, Kenneth P.; Fabri, Simon G.; Zervakis, Michalis; Xanthopoulos, Petros; Sakkalis, Vangelis; Vanrumste, Bart (2008-11-07). "Review on solving the inverse problem in EEG source analysis". Journal of Neuroengineering and Rehabilitation. 5: 25. doi:10.1186/1743-0003-5-25. ISSN 1743-0003. PMC 2605581. PMID 18990257.
Forney, David C.; Rothman, Daniel H. (2012-09-07). "Common structure in the heterogeneity of plant-matter decay". Journal of the Royal Society Interface. 9 (74): 2255–2267. Bibcode:2012JRSI....9.2255F. doi:10.1098/rsif.2012.0122. PMC 3405759. PMID 22535699.

pubmed.ncbi.nlm.nih.gov

Huang, Yunfei.; et al. (2019). "Traction force microscopy with optimized regularization and automated Bayesian parameter selection for comparing cells". Scientific Reports. 9 (1): 537. arXiv:1810.05848. Bibcode:2019NatSR...9..539H. doi:10.1038/s41598-018-36896-x. PMC 6345967. PMID 30679578.
Zenil, Hector; Kiani, N. A.; Marabita, F.; Deng, Y.; Elias, S.; Schmidt, A.; Ball, G.; Tegnér, J. (2019). "An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems". Science. 19: 1160–1172. Bibcode:2019iSci...19.1160Z. doi:10.1016/j.isci.2019.07.043. PMC 6831824. PMID 31541920.
Grech, Roberta; Cassar, Tracey; Muscat, Joseph; Camilleri, Kenneth P.; Fabri, Simon G.; Zervakis, Michalis; Xanthopoulos, Petros; Sakkalis, Vangelis; Vanrumste, Bart (2008-11-07). "Review on solving the inverse problem in EEG source analysis". Journal of Neuroengineering and Rehabilitation. 5: 25. doi:10.1186/1743-0003-5-25. ISSN 1743-0003. PMC 2605581. PMID 18990257.
Forney, David C.; Rothman, Daniel H. (2012-09-07). "Common structure in the heterogeneity of plant-matter decay". Journal of the Royal Society Interface. 9 (74): 2255–2267. Bibcode:2012JRSI....9.2255F. doi:10.1098/rsif.2012.0122. PMC 3405759. PMID 22535699.

osti.gov

Macé, Danièle; Lailly, Patrick (1986). "Solution of the VSP one dimensional inverse problem". Geophysical Prospecting. 34 (7): 1002–1021. Bibcode:1986GeopP..34.1002M. doi:10.1111/j.1365-2478.1986.tb00510.x. OSTI 6901651.

qilin-zhang.github.io

Abeida, Habti; Zhang, Qilin; Li, Jian; Merabtine, Nadjim (2013). "Iterative Sparse Asymptotic Minimum Variance Based Approaches for Array Processing" (PDF). IEEE Transactions on Signal Processing. 61 (4): 933–944. arXiv:1802.03070. Bibcode:2013ITSP...61..933A. doi:10.1109/tsp.2012.2231676. ISSN 1053-587X. S2CID 16276001.

reference-global.com

"Journal of Inverse and Ill-posed Problems". Archived from the original on February 1, 2013.

researchgate.net

Virieux, Jean; Operto, Stéphane (2009). "An overview of full-waveform inversion in exploration geophysics". Geophysics. 74 (6): WCC1 – WCC26. doi:10.1190/1.3238367.
Tahmasebi, Pejman; Javadpour, Farzam; Sahimi, Muhammad (August 2016). "Stochastic shale permeability matching: Three-dimensional characterization and modeling". International Journal of Coal Geology. 165: 231–242. Bibcode:2016IJCG..165..231T. doi:10.1016/j.coal.2016.08.024.

sciencedirect.com

Pizlo, Zygmunt. "Perception viewed as an inverse problem." Vision research 41.24 (2001): 3145-3161.

semanticscholar.org

api.semanticscholar.org

Cardenas, IC (2019). "On the use of Bayesian networks as a meta-modeling approach to analyse uncertainties in slope stability analysis". Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards. 13 (1): 53–65. Bibcode:2019GAMRE..13...53C. doi:10.1080/17499518.2018.1498524. S2CID 216590427.
Ambartsumian, Rouben V. (1998). "A life in astrophysics. Selected papers of Viktor A. Ambartsumian". Astrophysics. 41 (4): 328–330. doi:10.1007/BF02894658. S2CID 118952753.
Ben Ameur, Hend; Chavent, Guy; Jaffré, Jérôme (2002). "Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities" (PDF). Inverse Problems. 18 (3): 775–794. Bibcode:2002InvPr..18..775B. doi:10.1088/0266-5611/18/3/317. S2CID 250892174.
Abeida, Habti; Zhang, Qilin; Li, Jian; Merabtine, Nadjim (2013). "Iterative Sparse Asymptotic Minimum Variance Based Approaches for Array Processing" (PDF). IEEE Transactions on Signal Processing. 61 (4): 933–944. arXiv:1802.03070. Bibcode:2013ITSP...61..933A. doi:10.1109/tsp.2012.2231676. ISSN 1053-587X. S2CID 16276001.
Lambaré, Gilles; Virieux, Jean; Madariaga, Raul; Jin, Side (1992). "Iterative asymptotic inversion in the acoustic approximation". Geophysics. 57 (9): 1138–1154. Bibcode:1992Geop...57.1138L. doi:10.1190/1.1443328. S2CID 55836067.
Bleistein, Norman (1987). "On the imaging of reflectors in the earth". Geophysics. 52 (7): 931–942. Bibcode:1987Geop...52..931B. doi:10.1190/1.1442363. S2CID 5095133.
Tarantola, Albert (1984). "Inversion of seismic reflection data in the acoustic approximation". Geophysics. 49 (8): 1259–1266. Bibcode:1984Geop...49.1259T. doi:10.1190/1.1441754. S2CID 7596552.
Marsh, Tom (2005). "Doppler tomography". Astrophysics and Space Science. 296 (1–4): 403–415. arXiv:astro-ph/0011020. Bibcode:2005Ap&SS.296..403M. doi:10.1007/s10509-005-4859-3. S2CID 15334110.
Bamberger, Alain; Chavent, Guy; Lailly, Patrick (1979). "About the stability of the inverse problem in the 1D wave equation, application to the interpretation of the seismic profiles". Journal of Applied Mathematics and Optimization. 5: 1–47. doi:10.1007/bf01442542. S2CID 122428594.
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