An up-to-date list of publications and preprints can be found on my Google Scholar profile. Comments and questions are welcome.

Publications

Preprints

  • Gabriel P. Langlois and Jérôme Darbon. “A fast algorithm for solving the lasso problem exactly without homotopy using differential equations.” Submitted; arXiv preprint arXiv:2507.055623. [pdf]

Referred Journal Articles

  • Gabriel P. Langlois, Jatan Buch and Jérôme Darbon. “Efficient first-order algorithms for large-scale, non-smooth maximum entropy models with application to wildfire science.” Entropy 26.8 (2024): 691. (doi: https://doi.org/10.3390/e26080691)
  • Alan A. Kaptanoglu, Gabriel P. Langlois, and Matt Landreman. “Topology optimization for inverse magnetostatics as sparse regression: Application to electromagnetic coils for stellarators.” Computer Methods in Applied Mechanics and Engineering 418A (2024): 116504. (doi: 10.1016/j.cma.2023.116504)
  • Jérôme Darbon and Gabriel P. Langlois. “On Bayesian posterior mean estimators in imaging sciences and Hamilton–Jacobi partial differential equations.” Journal of Mathematical Imaging and Vision 33 (2021): 1-34. (doi: 10.1007/s10851-021-01036-0)
  • Jérôme Darbon, Gabriel P. Langlois, and Tingwei Meng. “Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures.” Research in the Mathematical Sciences 7, no. 3 (2020): 1-50. (doi: 10.1007/s40687-020-00215-6)
  • Tiemo Pedergnana, David Oettinger, Gabriel P. Langlois, and George Haller. “Explicit unsteady Navier–Stokes solutions and their analysis via local vortex criteria.” Physics of Fluids 32, no. 4 (2020): 046603. (doi: 10.1063/5.0003245)
  • Gabriel P. Langlois, Donald M. Arnold, Jayson Potts, Brian Leber, David C. Dale, and Michael C. Mackey. “Cyclic thrombocytopenia with statistically significant neutrophil oscillations.” Clinical Case Reports 6 (2018): 1347-1352. (doi: 10.1002/ccr3.1611)
  • Gabriel P. Langlois, Morgan Craig, Antony Humphries, Michael C. Mackey, Joseph M. Mahaffy, Jacques Bélair, Thibault Moulin, Sean R. Sinclair, and Liangliang Wang. “Normal and pathological dynamics of platelets in humans.” Journal of Mathematical Biology 75 (2017): 1-52. (doi: 10.1007/s00285-017-1125-6)
  • Gabriel P. Langlois, Mohammad Farazmand, and George Haller. “Asymptotic dynamics of inertial particles with memory.” Journal of Nonlinear Science 25, no. 6 (2015): 1225-1255. (doi: 10.1007/s00332-015-9250-0)
  • Grace Brooks, Gabriel P. Langlois, Jinzhi Lee, and Michael C. Mackey. “Neutrophil dynamics after chemotherapy and G-CSF: The role of pharmacokinetics in shaping the response.” Journal of Theoretical Biology 315 (2012): 97-109. (doi: 10.1016/j.jtbi.2012.08.028)

Book Chapters

  • Jérôme Darbon, Gabriel P. Langlois, and Tingwei Meng. “Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors.” Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision (2021): 1-25. (doi: 10.1007/978-3-030-03009-4_56-1)

Theses

  • Variational and Bayesian methods for solving Hamilton–Jacobi equations in machine learning and imaging science. Ph.D. thesis, Brown University, 2022. Advisor: Prof. Jérôme Darbon. (PDF link)
  • Nonlinear dynamics of finite-size particles in unsteady fluid flows, and spatially linear solutions to the Navier–Stokes equations. M.Sc. thesis, ETH Zürich, 2015. Advisor: Prof. George Haller. (PDF link)