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20112022
most citedMultidimensional Economic Complexity and Inclusive Green Growth

128 citations

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6 papers · 1 filter

math.OC2022★ 2 cited

Automatic differentiation of nonsmooth iterative algorithms

Jérôme Bolte, Edouard Pauwels, Samuel Vaiter

Differentiation along algorithms, i.e., piggyback propagation of derivatives, is now routinely used to differentiate iterative solvers in differentiable programming. Asymptotics is…

math.OC2019★ 5 cited

Conservative set valued fields, automatic differentiation, stochastic gradient method and deep learning

Jérôme Bolte, Edouard Pauwels

Modern problems in AI or in numerical analysis require nonsmooth approaches with a flexible calculus. We introduce generalized derivatives called conservative fields for which we d…

math.OC2018★ 3 cited

Characterization of minimizable Lagrangian action functionals and a dual Mather theorem

Rodolfo Rios-Zertuche

We show that a necessary and sufficient condition for a smooth function on the tangent bundle of a manifold to be a Lagrangian density whose action can be minimized is, roughly spe…

math.OC2017

The multiproximal linearization method for convex composite problems

Jérôme Bolte, Zheng Chen, Edouard Pauwels

Composite minimization involves a collection of smooth functions which are aggregated in a nonsmooth manner. In the convex setting, we design an algorithm by linearizing each smoot…

math.OC2017★ 4 cited

Communicating Zero-Sum Product Stochastic Games

Tristan Garrec

We study two classes of zero-sum stochastic games with compact action sets and a finite product state space. These two classes assume a communication property on the state spaces o…

math.OC2016★ 15 cited

Continuous Patrolling and Hiding Games

Tristan Garrec

We present two zero-sum games modeling situations where one player attacks (or hides in) a finite dimensional nonempty compact set, and the other tries to prevent the attack (or fi…