| Chen, Paula, Darbon, Jérôme, Meng, Tingwei. "Hopf-type representation formulas and efficient algorithms for certain high-dimensional optimal control problems." Computers & Mathematics with Applications, vol. 161, 2024, pp. 90-120. |
| Chen, Paula, Meng, Tingwei, Zou, Zongren, Darbon, Jérôme, Karniadakis, George Em. "Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems." SIAM Journal on Scientific Computing, vol. 46, no. 2, 2024, pp. C216-C248. |
| Shin, Yeonjong, Darbon, Jérôme, Karniadakis, George Em. "Accelerating gradient descent and Adam via fractional gradients." Neural Networks, vol. 161, 2023, pp. 185-201. |
| Darbon, Jérôme, Dower, Peter M., Meng, Tingwei. "Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton–Jacobi PDEs." Mathematics of Control, Signals, and Systems, vol. 35, no. 1, 2023, pp. 1-44. |
| Darbon, Jérôme, Meng, Tingwei, Resmerita, Elena. "On Hamilton–Jacobi PDEs and Image Denoising Models with Certain Nonadditive Noise." Journal of Mathematical Imaging and Vision, vol. 64, no. 4, 2022, pp. 408-441. |
| Coupechoux, Marceau, Darbon, Jerome, Kelif, Jean-Marc, Sigelle, Marc. "Optimal Trajectories of a UAV Base Station Using Hamilton-Jacobi Equations." IEEE Transactions on Mobile Computing, 2022, pp. 1-1. |
|
David A Borton, Evan M Dastin-van Rijn, Matthew T Harrison, Nicole R Provenza, Paula Chen, Taewoo Kim, Jerome Darbon.
"Period-based artifact reconstruction and removal for deep brain stimulation." 2022.
|
| Chen, Paula, Kim, Taewoo, Dastin-van Rijn, Evan, Provenza, Nicole R., Sheth, Sameer A., Goodman, Wayne K., Borton, David A., Harrison, Matthew T., Darbon, Jerome. "Periodic Artifact Removal With Applications to Deep Brain Stimulation." IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 30, 2022, pp. 2692-2699. |
| Meng, Tingwei, Zhang, Zhen, Darbon, Jerome, Karniadakis, George. "SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems." SIAM Journal on Scientific Computing, vol. 44, no. 6, 2022, pp. B1341-B1368. |
| Tendero, Yohann, Ciril, Igor, Darbon, Jérôme, Serna, Susana. "An Algorithm Solving Compressive Sensing Problem Based on Maximal Monotone Operators." SIAM Journal on Scientific Computing, vol. 43, no. 6, 2021, pp. A4067-A4094. |
| Darbon, Jérôme, Langlois, Gabriel P., Meng, Tingwei. "Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors.", 2021, pp. 1-25. |
| Darbon, Jérôme, Langlois, Gabriel P. "On Bayesian Posterior Mean Estimators in Imaging Sciences and Hamilton–Jacobi Partial Differential Equations." Journal of Mathematical Imaging and Vision, vol. 63, no. 7, 2021, pp. 821-854. |
| Darbon, Jérôme, Meng, Tingwei. "On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations." Journal of Computational Physics, vol. 425, 2021, pp. 109907. |
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Marceau Coupechoux, Jérôme Darbon, Jean-Marc Kélif, Marc Sigelle.
"Optimal Trajectories of a UAV Base Station Using Hamilton-Jacobi Equations." 2021.
|
| Darbon, Jérôme, Meng, Tingwei. "On Decomposition Models in Imaging Sciences and Multi-time Hamilton--Jacobi Partial Differential Equations." SIAM Journal on Imaging Sciences, vol. 13, no. 2, 2020, pp. 971-1014. |
| Shin, Yeonjong, Darbon, Jérôme, Karniadakis, George. "On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs." Communications in Computational Physics, vol. 28, no. 5, 2020, pp. 2042-2074. |
| Darbon, Jérôme, Langlois, Gabriel P., Meng, Tingwei. "Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures." Research in the Mathematical Sciences, vol. 7, no. 3, 2020. |
| Tendero, Yohann, Ciril, Igor, Darbon, Jérôme. "A Simple and Exact Algorithm to Solve Linear Problems with l1-Based Regularizers.", 2019, pp. 243-261. |
| Chow, Yat Tin, Darbon, Jérôme, Osher, Stanley, Yin, Wotao. "Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations." Journal of Computational Physics, vol. 387, 2019, pp. 376-409. |
| Coupechoux, Marceau, Darbon, Jerome, Kelif, Jean-Marc, Sigelle, Marc. "Optimal Trajectories of a UAV Base Station Using Lagrangian Mechanics." IEEE INFOCOM 2019 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), 2019. |
| Kirchner, Matthew R., Hewer, Gary, Darbon, Jerome, Osher, Stanley. "A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems." 2018 IEEE Conference on Control Technology and Applications (CCTA), 2018. |
| Ciril, Igor, Darbon, Jérôme, Tendero, Yohann. "A Simple and Exact Algorithm to Solve l1 Linear Problems - Application to the Compressive Sensing Method." Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, 2018. |
| Chow, Yat Tin, Darbon, Jérôme, Osher, Stanley, Yin, Wotao. "Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton–Jacobi equations, projections and differential games." Annals of Mathematical Sciences and Applications, vol. 3, no. 2, 2018, pp. 369-403. |
| Lebrun, Marc, Colom, Miguel, Darbon, Jérôme, Morel, Jean-Michel. "Numerical Simulation of Landscape Evolution Models." Image Processing On Line, vol. 8, 2018, pp. 219-250. |
| Kirchner, Matthew R., Mar, Robert, Hewer, Gary, Darbon, Jerome, Osher, Stanley, Chow, Y. T. "Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula." IEEE Control Systems Letters, vol. 2, no. 2, 2018, pp. 201-206. |
| Chow, Yat Tin, Darbon, Jérôme, Osher, Stanley, Yin, Wotao. "Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems." Journal of Scientific Computing, vol. 73, no. 2-3, 2017, pp. 617-643. |
| Lee, Byungjoon, Darbon, Jérôme, Osher, Stanley, Kang, Myungjoo. "Revisiting the redistancing problem using the Hopf–Lax formula." Journal of Computational Physics, vol. 330, 2017, pp. 268-281. |
| Darbon, Jérôme, Osher, Stanley. "Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere." Research in the Mathematical Sciences, vol. 3, no. 1, 2016. |
| Darbon, Jérôme, Osher, Stanley J. "Splitting Enables Overcoming the Curse of Dimensionality." Splitting Methods in Communication, Imaging, Science, and Engineering, 2016, pp. 427-432. |
| Alex Chen, Jérôme Darbon, Carlo De Franchis, Gabriele Facciolo, Enric Meinhardt, Julien Michel, Jean-Michel Morel. "Numerical simulation of landscape evolution and water run-off on digital elevation models obtained from Pleiades." Revue Française de Photogrammétrie et de Télédétection, vol. 209, 2015, pp. 117-123. |
| Darbon, Jérôme. "On Convex Finite-Dimensional Variational Methods in Imaging Sciences and Hamilton--Jacobi Equations." SIAM J. Imaging Sci., vol. 8, no. 4, 2015, pp. 2268-2293. |
| Chen, Alex, Darbon, Jérôme, Morel, Jean-Michel. "Landscape evolution models: A review of their fundamental equations." Geomorphology, vol. 219, 2014, pp. 68-86. |
| Chen, Alex, Darbon, Jérôme, Buttazzo, Giuseppe, Santambrogio, Filippo, Morel, Jean-Michel. "On the equations of landscape formation." Interfaces Free Bound., vol. 16, no. 1, 2014, pp. 105-136. |
| Israel-Jost, V., Darbon, J., Angelini, E. D., Bloch, I. "On the implementation of the multi-phase region segmentation, solving the hidden phase problem." 2014 IEEE International Conference on Image Processing (ICIP), 2014. |
| Israel-Jost, Vincent, Darbon, Jérôme, Angelini, Elsa D., Bloch, Isabelle. "Conciliating syntactic and semantic constraints for multi-phase and multi-channel region segmentation." Computer Vision and Image Understanding, vol. 117, no. 8, 2013, pp. 819-826. |
| Shabou, A., Darbon, J., Tupin, F. "Multilabel partition moves for MRF optimization." Image and Vision Computing, vol. 31, no. 1, 2013, pp. 14-30. |
| Osting, Braxton, Darbon, Jérôme, Osher, Stanley. "Statistical ranking using the l1-norm on graphs." Inverse Problems and Imaging, vol. 7, no. 3, 2013, pp. 907-926. |
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Chambolle A., Darbon, J.
"A Parametric Maximum Flow Approach for Discrete Total Variation Regularization. chapter in the book "Image Processing and Analysis with Graphs: Theory and Practice.", 2012.
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| Borghi, Alexandre, Darbon, Jérôme, Peyronnet, Sylvain, Chan, Tony F., Osher, Stanley. "A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures." Journal of Signal Processing Systems, vol. 71, no. 1, 2012, pp. 1-20. |
| Shabou, A., Darbon, J., Tupin, F. "A Markovian Approach for InSAR Phase Reconstruction With Mixed Discrete and Continuous Optimization." IEEE Geoscience and Remote Sensing Letters, vol. 8, no. 3, 2011, pp. 527-531. |
| Barney Smith, Elisa H., Darbon, Jérôme, Likforman-Sulem, Laurence. "A mask-based enhancement method for historical documents." Document Recognition and Retrieval XVIII, 2011. |
| Likforman-Sulem, Laurence, Darbon, Jérôme, Smith, Elisa H. Barney. "Enhancement of historical printed document images by combining Total Variation regularization and Non-local Means filtering." Image and Vision Computing, vol. 29, no. 5, 2011, pp. 351-363. |
| Borghi, Alexandre, Darbon, Jérôme, Peyronnet, Sylvain. "Exact optimization for the l1-Compressive Sensing problem using a modified Dantzig–Wolfe method." Theoretical Computer Science, vol. 412, no. 15, 2011, pp. 1325-1337. |
| Ciril, Igor, Darbon, Jérôme. "Image Denoising with a Constrained Discrete Total Variation Scale Space." Lecture Notes in Computer Science, 2011, pp. 465-476. |
| Bausson, S., Thomas, V., Joubert, P.‐Y., Blanc‐Féraud, L., Darbon, J., Aubert, G. "Regularized inversion of a distributed point source model for the reconstruction of defects in eddy current imaging." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 30, no. 6, 2011, pp. 1777-1791. |
| Borghi, A., Darbon, J., Peyronnet, S., Chan, T. F., Osher, S. "A Compressive Sensing Algorithm for Many-Core Architectures." Advances in Visual Computing, 2010, pp. 678-686. |
| Barney Smith, Elisa H., Likforman-Sulem, Laurence, Darbon, Jérôme. "Effect of pre-processing on binarization." Document Recognition and Retrieval XVII, 2010. |
|
Alexandre Cunha, Jerome Darbon.
"FAST NOISE REDUCTION IN DIGITAL IMAGES AND VIDEO." 2010.
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| Borghi, Alexandre, Darbon, Jerome, Peyronnet, Sylvain. "L1 compressive sensing: Exact optimization a la Dantzig-Wolfe." 2010 IEEE Workshop On Signal Processing Systems, 2010. |
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S. Bausson, V. Thomas, P.-Y. Joubert, L. Blanc-Féraud, J. Darbon, G. Aubert.
"Regularized inversion of a distributed point source model for the reconstruction of defects in Eddy current imaging." In the proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering (IGTE 10)., 2010.
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| Shabou, Aymen, Tupin, Florence, Darbon, Jerome. "A graph-cut based algorithm for approximate MRF optimization." 2009 16th IEEE International Conference on Image Processing (ICIP), 2009. |
| Darbon, Jerome, Ciril, Igor, Marquina, Antonio, Chan, Tony F., Osher, Stanley. "A note on the Bregmanized Total Variation and dual forms." 2009 16th IEEE International Conference on Image Processing (ICIP), 2009. |
| Atif, Jamal, Darbon, Jerome. "Copula-set measures on topographic maps for change detection." 2009 16th IEEE International Conference on Image Processing (ICIP), 2009. |
| Darbon, Jérôme. "Global optimization for first order Markov Random Fields with submodular priors." Discrete Applied Mathematics, vol. 157, no. 16, 2009, pp. 3412-3423. |
| Denis, L., Tupin, F., Darbon, J., Sigelle, M. "Joint Regularization of Phase and Amplitude of InSAR Data: Application to 3-D Reconstruction." IEEE Trans. Geosci. Remote Sensing, vol. 47, no. 11, 2009, pp. 3774-3785. |
| Chambolle, Antonin, Darbon, Jérôme. "On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows." International Journal of Computer Vision, vol. 84, no. 3, 2009, pp. 288-307. |
| Likforman-Sulem, Laurence, Darbon, Jérôme, Smith, Elisa H. Barney. "Pre-Processing of Degraded Printed Documents by Non-local Means and Total Variation." 2009 10th International Conference on Document Analysis and Recognition, 2009. |
| Denis, L., Tupin, F., Darbon, J., Sigelle, M. "SAR Image Regularization With Fast Approximate Discrete Minimization." IEEE Transactions on Image Processing, vol. 18, no. 7, 2009, pp. 1588-1600. |
|
H. Dutagaci, G. Fouquier, B. Sankur, L. Likforman, J. Darbon.
"A Reference Biometric System Based on Hand-Modality. chapter in the book "Guide to Biometric Reference Systems and Performance Evaluation"; Publisher Springer-Verlag.", 2008.
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| Denis, Loic, Tupin, Florence, Darbon, Jerome, Sigelle, Marc. "A Regularization Approach for InSAR and Optical Data Fusion." IGARSS 2008 - 2008 IEEE International Geoscience and Remote Sensing Symposium, 2008. |
| Yin, Wotao, Osher, Stanley, Goldfarb, Donald, Darbon, Jerome. "Bregman Iterative Algorithms for l1-Minimization with Applications to Compressed Sensing." SIAM J. Imaging Sci., vol. 1, no. 1, 2008, pp. 143-168. |
| Darbon, Jerome, Cunha, Alexandre, Chan, Tony F., Osher, Stanley, Jensen, Grant J. "Fast nonlocal filtering applied to electron cryomicroscopy." 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2008. |
| Darbon, Jérôme. "Global Optimization for First Order Markov Random Fields with Submodular Priors." Lecture Notes in Computer Science, 2008, pp. 229-237. |
| Denis, Loic, Tupin, Florence, Darbon, Jerome, Sigelle, Marc. "Joint Filtering of SAR Interferometric and Amplitude Data in Urban Areas by TV Minimization." IGARSS 2008 - 2008 IEEE International Geoscience and Remote Sensing Symposium, 2008. |
|
Denis, L., Tupin, F., Darbon, J., Sigelle,M., Tison, C.
"SAR Amplitude filtering using TV prior and its application to building delineation." European Conference on Synthetic Aperture Radar (EUSAR) , 2008.
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| Darbon, Jérôme. "A Note on the Discrete Binary Mumford-Shah Model." Computer Vision/Computer Graphics Collaboration Techniques, 2007, pp. 283-294. |
| Cunha, Alexandre, Darbon, Jerome, Chana, Tony, Toga, Arthur. "Fast and Accurate Feature Detection and Triangulation using Total Variation Filtering of Biological Images." 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007. |
| Fouquier, Geoffroy, Likforman, Laurence, Darbon, Jerome, Sankur, Bulent. "The Biosecure Geometry-Based System for Hand Modality." 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, 2007. |
| Darbon, Jérôme, Sigelle, Marc, Tupin, Florence. "The use of levelable regularization functions for MRF restoration of SAR images while preserving reflectivity." Computational Imaging V, 2007. |
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Darbon, Jérôme, Lefebvre, Sylvain, Esedoglu, Selim, Chan, Tony F.
"TV Optimization and Graph-cuts Proceedings in Applied Mathematics and Mechanics." 2007, pp. 7(1), 1042303-1042304.
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| Lesage, David, Darbon, Jérôme, Akgül, Ceyhun Burak. "An Efficient Algorithm for Connected Attribute Thinnings and Thickenings." Advances in Visual Computing, 2006, pp. 393-404. |
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Darbon, J., Peyronnet, S., Lassaigne, R.
"Approximate Probabilistic Model Checking for Programs." In the electronic proceedings of the second IEEE International Conference on Intelligent Computer Communication and Processing (ICCP), 2006.
|
| Darbon, Jérôme, Sigelle, Marc. "Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization." Journal of Mathematical Imaging and Vision, vol. 26, no. 3, 2006, pp. 261-276. |
| Darbon, Jérôme, Sigelle, Marc. "Image Restoration with Discrete Constrained Total Variation Part II: Levelable Functions, Convex Priors and Non-Convex Cases." Journal of Mathematical Imaging and Vision, vol. 26, no. 3, 2006, pp. 277-291. |
| Chekroun, Mickael, Darbon, Jérôme, Ciril, Igor. "On a Polynomial Vector Field Model for Shape Representation." Lecture Notes in Computer Science, 2006, pp. 386-397. |
| Yoruk, E., Konukoglu, E., Sankur, B., Darbon, J. "Shape-based hand recognition." IEEE Transactions on Image Processing, vol. 15, no. 7, 2006, pp. 1803-1815. |
| Darbon, Jérôme, Sigelle, Marc. "A Fast and Exact Algorithm for Total Variation Minimization." Pattern Recognition and Image Analysis, 2005, pp. 351-359. |
| Darbon, Jérôme, Peyronnet, Sylvain. "A Vectorial Self-dual Morphological Filter Based on Total Variation Minimization." Advances in Visual Computing, 2005, pp. 388-395. |
| Darbon, J., Akgul, C. "An efficient algorithm for attribute openings and closings." In the electronic proceedings of the European Signal Processing Conference (EUSIPCO), 2005. |
| Darbon, J. "Total variation minimization with L/sup 1/ data fidelity as a contrast invariant filter." ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005., 2005. |
| Darbon, Jérôme, Sigelle, Marc. "Exact Optimization of Discrete Constrained Total Variation Minimization Problems." Lecture Notes in Computer Science, 2004, pp. 548-557. |
| Yoruk, E., Konukoglu, E., Sankur, B., Darbon, J. "Person authentication based on hand shape." Proceedings of the IEEE 12th Signal Processing and Communications Applications Conference, 2004., 2004. |
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Yoruk, E., Konukoglu, E., Sankur, B., Darbon, J.
"Shape Based Hand Recognition." In the electronic proceedings of 12th IEEE Signal Processing and Telecommunication Applications Conference (IEEE- SIU), 2004.
|
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"Generic Implementation of Morphological Image Operators." In the proceedings of the International Symposium on Mathematical Morphology VI (ISMM), pages 175-184, 2002.
|
| Geraud, T., Strub, P.-Y., Darbon, J. "Color image segmentation based on automatic morphological clustering." Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2001. |
| Darbon, Jerome, Sankur, Bulent, Maitre, Henri. "Error correcting code performance for watermark protection." Security and Watermarking of Multimedia Contents III, 2001, pp. 663-672. |
2018-2021: Variational Decomposition Models in Imaging Sciences and High Dimensional Multi-Time Hamilton-Jacobi Equations.
National Science Foundation grant DMS 1820821.
2014-2017: Imaging science algorithms based on finite and infinite dimensional Hamilton-Jacobi equations.
(with S. Osher) Office of Naval Research grant N000141410683.
2011-2014: Combinatorial Scientific Computing for Image Processing.
(with S. Osher) Office of Naval Research grant N00014-11-1-0749.
2013-2014: Bayesian estimators for image analysis of Synthetic Aperture radar images
(with M.Sigelle and F. Tupin) CNRS Research grant.
2011-2012: Combinatorial and Stochastic approaches for Image Processing on Parallel architectures.
(with S. Peyronnet and M. Sigelle) CNRS Research grant.
2007-2010: Continuum applications of discrete optimization.
(with S. Osher) Office of Naval Research grant N000140710810, $300,000.
| Year | Degree | Institution |
|---|---|---|
| 2005 | PhD | École Nationale Supérieure des Telecommunications (telecom-paris) |
| 2001 | MSc | École pour l'Informatique et Les Techniques Avancees |
| 2001 | MSc | École Normale Supérieure Cachan |
2019: Recipient of a Best Article Award in “Research in the Mathematical Sciences", from Springer Nature.
for my paper with Stan Osher “Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere", Research in the Mathematical Sciences, December 2016, 3:19. https://www.springer.com/journal/40687/updates/17226828
2010-2014: Recipient of the CNRS “Prime d’Excellence Scienfique". CNRS prize for outstanding research.
2009: Recipient of the UCLA Chancellor’s Award for Postdoctoral Research.
https://grad.ucla.edu/funding/working-at-ucla/postdocs/chancellors-award-for-postdoctoral-research/award-recipients/
| APMA 0200 - Introduction to Modeling |
| APMA 0360 - Applied Partial Differential Equations I |
| APMA 1160 - An Introduction to Numerical Optimization |
| APMA 1170 - Introduction to Computational Linear Algebra |
| APMA 2580C - Optimization |
| APMA 2811W - Convex Analysis and Minimization Algorithms |
