76 citations · 226 across the 9 of their papers we have counts for
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math.DS2016★ 41 cited
Gradient Descent Only Converges to Minimizers: Non-Isolated Critical Points and Invariant Regions
Ioannis Panageas, Georgios Piliouras
Given a non-convex twice differentiable cost function f, we prove that the set of initial conditions so that gradient descent converges to saddle points where \nabla^2 f has at lea…
math.DS2014★ 15 cited
Natural Selection as an Inhibitor of Genetic Diversity: Multiplicative Weights Updates Algorithm and a Conjecture of Haploid Genetics
Ruta Mehta, Ioannis Panageas, Georgios Piliouras
In a recent series of papers a surprisingly strong connection was discovered between standard models of evolution in mathematical biology and Multiplicative Weights Updates Algorit…