conservation laws 1differential inclusion algorithm 1high-order methods 1post-processing limiters 1total variation denoising 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
Gabriel P. Langlois, Jerome Darbon, Rongjie Lai +2
The paper introduces a post‑processing step that applies exact total‑variation denoising, computed via a differential inclusion algorithm, to eliminate spurious oscillations in hig…
math.NA2026
Deep learning methods for inverse problems using connections between proximal operators and Hamilton-Jacobi equations
Oluwatosin Akande, Gabriel P. Langlois, Akwum Onwunta
Inverse problems are important mathematical problems that seek to recover model parameters from noisy data. Since inverse problems are often ill-posed, they require regularization…
math.OC2025
A fast algorithm for solving the lasso problem exactly without homotopy using differential inclusions
Gabriel P. Langlois, Jérôme Darbon
We prove in this work that the well-known lasso problem can be solved exactly without homotopy using novel differential inclusions techniques. Specifically, we show that a selectio…