12 citations · 17 across the 5 of their papers we have counts for
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math.DG2018★ 3 cited
Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3
A Belotto da Silva, A Figalli, A Parusiński +1
In this paper we prove the strong Sard conjecture for sub-Riemannian structures on 3-dimensional analytic manifolds. More precisely, given a totally nonholonomic analytic distribut…
cs.LG2018★ 12 cited
A general system of differential equations to model first order adaptive algorithms
André Belotto da Silva, Maxime Gazeau
First order optimization algorithms play a major role in large scale machine learning. A new class of methods, called adaptive algorithms, were recently introduced to adjust iterat…