most citedLow-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points

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math.OC2026

Growth model with externalities for energetic transition via MFG with common external variable

Pierre Lavigne, Quentin Petit, Xavier Warin

This article introduces a novel mean-field game model for multi-sector economic growth in which a dynamically evolving externality, influenced by the collective actions of agents,…

math.OC2026

The tangent cone to the real determinantal variety: various expressions and a proof

Guillaume Olikier, Petar Mlinarić, P. -A. Absil +1

The set of real matrices of upper-bounded rank is a real algebraic variety called the real generic determinantal variety. An explicit description of the tangent cone to that variet…

math.OC2026★ 3 cited

Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points

Guillaume Olikier, Kyle A. Gallivan, P. -A. Absil

This paper considers the problem of minimizing a differentiable function with locally Lipschitz continuous gradient on the algebraic variety of real matrices of upper-bounded rank.…