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math.OC2026
Piecewise smooth functions and conservative fields: calculus for nonsmooth nonconvex optimization beyond stratification
Cheik Traoré
In this paper, we show that the piecewise gradient associated with a representation of a continuous piecewise- function is a selection of a conservative field. Specifically,…
math.OC2026
The adjoint state method for parametric definable optimization without smoothness or uniqueness
Jérôme Bolte, Edouard Pauwels, Cheik Traoré
We establish that nonconvex definable parametric optimization problems with possibly nonsmooth objectives, inequality constraints, conic constraint systems, and non-unique primal a…