activity
20102024
most citedWhat do `convexities' imply on Hadamard manifolds?

2 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.OC2024

Recognizing weighted means in geodesic spaces

Ariel Goodwin, Adrian S. Lewis, Genaro Lopez-Acedo +1

Geodesic metric spaces support a variety of averaging constructions for given finite sets. Computing such averages has generated extensive interest in diverse disciplines. Here we…

math.OC2024

Horoballs and the subgradient method

Adrian S. Lewis, Genaro Lopez-Acedo, Adriana Nicolae

To explore convex optimization on Hadamard spaces, we consider an iteration in the style of a subgradient algorithm. Traditionally, such methods assume that the underlying spaces a…

cs.CR2023

OpenBSD formal driver verification with SeL4

Adriana Nicolae, Paul Irofti, Ioana Leustean

The seL4 microkernel is currently the only kernel that has been fully formally verified. In general, the increased interest in ensuring the security of a kernel's code results from…

math.MG20161 cited

Barycenters in uniformly convex geodesic spaces

Laurentiu Leustean, Adriana Nicolae, Alexandru Zaharescu

This note proves a result on the existence of barycenters in a class of uniformly convex geodesic spaces.

math.OC2016

Proximal minimization in CAT spaces

Rafa Espínola, Adriana Nicolae

In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT spaces with using a recent definitio…

math.MG2015

Continuous Selections of Lipschitz Extensions in Metric Spaces

Rafa Espínola, Adriana Nicolae

This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of continuity. We show that if assuming appropriate curvature bou…