Author

Jérôme Darbon

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Preprint Oct 2026

Continuous-time analysis and algorithms for linear and convex quadratic programs via exactly solvable differential inclusions

Linear and convex quadratic programs are fundamental problems in optimization. While many methods have been developed for solving these programs in large-scale applications, to our knowledge none have attempted to solve their continuous-time gradient flow, a differential inclusion, in full generality without assumption...

G. P. Langlois, Akwum Onwunta, Jérôme Darbon · 0 citations

#machine learning Preprint Oct 2026

A Transformer-based Approach for Real-time Multi-agent Path Planning with Varying Initial/Final Conditions

We address the problem of real-time multi-agent path planning under prescribed initial and final configurations, formulated as a high-dimensional optimal control problem subject to inter-agent collision avoidance and obstacle constraints. Classical solvers based on the Hamilton--Jacobi--Bellman equation or Pontryagin's...

Qian Zhang, Shan-Qing Liu, Jérôme Darbon et al. · 0 citations