Tangi Migot

Tangi Migot

Computational Mathematician

Fall 2019 Publications

less than 1 minute read

Published:

I taught a new course in Guelph this Fall, and in the meantime, 3 papers have been accepted.

  • The first paper in a series on numerical methods for the GNEP:

T. Migot, M.-G. Cojocaru. A parametrized variational inequality approach to track the solution set of a generalized Nash equilibrium problem, European Journal of Operation Research, 2019.

  • A work on the complexity of some ordering problems:

J. Omer, T. Migot. Vertex ordering with optimal number of adjacent predecessors, Discrete Mathematics \& Theoretical Computer Science, 2019.

  • Finally, an optimal control formulation in a prophylactic treatment strategy for a predator-prey system:

M.-G. Cojocaru, T. Migot, and A. Jaber. Controlling infection in predator-prey systems with transmission dynamics, Infectious Disease Modelling, Vol. 5, 2020, pp. 1-11.

This work was the final chapter in Ahmed’s thesis successfully defended, good luck for your future!

You May Also Enjoy

ARCqK published in Mathematical Programming

3 minute read

Published:

I am thrilled to share that the article Scalable adaptive cubic regularization methods has been published in the journal Mathematical Programming, Series A. This has been a really exciting journey with my co-authors Jean-Pierre Dussault and Dominique Orban on this really exciting work that I hope will help explore the numerical possibilities of ARC methods. The proposed implementation is a perfect fit for large-scale application as it solves the subproblem inexactly and only required Hessian-vector products, so no need to evaluate and store the Hessian matrix. As usual, the code has been done in Julia and is available in the folder paper in the Github repository AdaptiveRegularization.jl. Full text published version available from here, enjoy!

Looking Back at the Winter Session

4 minute read

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In the world of numerical optimization, the quest for efficiency, accuracy, and innovation never ceases. At Polytechnique Montréal, students embarking on their educational journey have a unique opportunity to explore this dynamic field through the course MTH8408 Méthodes d’optimisation et contrôle optimal. This course, which I had the privilege of teaching during the winter session of 2023, delves into the depths of numerical methods for optimization, variational calculus, and optimal control.

Unveiling JuliaSmoothOptimizers at JuMP-dev Workshop, JuliaCon 2023

2 minute read

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I am thrilled to share my experiences from the recent JuMP-dev workshop that took place at the JuliaCon 2023, held at MIT in Boston, USA. As a passionate researcher in the field of numerical optimization, this year’s conference was particularly special for me, as it marked my first in-person attendance after the previous year’s online edition (read about it here). You can check the replay of my talk on youtube.

PDENLPModels.jl published in JOSS

4 minute read

Published:

I am very happy to announce the publication in the Journal of Open Source Software of the paper PDENLPModels.jl: A NLPModel API for optimization problems with PDE-constraints.