3 citations · 4 across the 4 of their papers we have counts for
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Stochastic and incremental subgradient methods for convex optimization on Hadamard spaces
Ariel Goodwin, Adrian S. Lewis, Genaro López-Acedo +1
As a foundation for optimization, convexity is useful beyond the classical settings of Euclidean and Hilbert space. The broader arena of nonpositively curved metric spaces, which i…
Basic convex analysis in metric spaces with bounded curvature
Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
Differentiable structure ensures that many of the basics of classical convex analysis extend naturally from Euclidean space to Riemannian manifolds. Without such structure, however…
Local linear convergence of alternating projections in metric spaces with bounded curvature
Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
We consider the popular and classical method of alternating projections for finding a point in the intersection of two closed sets. By situating the algorithm in a metric space, eq…