69 citations · 316 across the 30 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2022
Swarm gradient dynamics for global optimization: the density case
Jérôme Bolte, Laurent Miclo, Stéphane Villeneuve
Using jointly geometric and stochastic reformulations of nonconvex problems and exploiting a Monge-Kantorovich gradient system formulation with vanishing forces, we formally extend…
math.AP2016★ 4 cited
A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions
Jérôme Bolte, Adrien Blanchet
For displacement convex functionals in the probability space equip\-ped with the Monge-Kantorovich metric we prove the equivalence between the gradient and functional type Łoja\-si…
math.AP2014★ 54 cited
On damped second-order gradient systems
Mohamed Ali Jendoubi, Pascal Bégout, Jérôme Bolte +1
Using small deformations of the total energy, as introduced in [31], we establish that damped second order gradient systems ma…