4 papers
An Axiomatic Approach to Loss Aggregation and an Adapted Aggregating Algorithm
Armando J. Cabrera Pacheco, Rabanus Derr, Robert C. Williamson
Supervised learning has gone beyond the expected risk minimization framework. Central to most of these developments is the introduction of more general aggregation functions for lo…
Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
Aghil Alaee, Armando J. Cabrera Pacheco, Stephen McCormick
We present a quasi-local version of the stability of the positive mass theorem. We work with the Brown--York quasi-local mass as it possesses positivity and rigidity properties, an…
A survey on extensions of Riemannian manifolds and Bartnik mass estimates
Armando J. Cabrera Pacheco, Carla Cederbaum
Mantoulidis and Schoen developed a novel technique to handcraft asymptotically flat extensions of Riemannian manifolds , with satisfying $λ_1 = λ_1(-Δ_…
Asymptotically flat extensions with charge
Aghil Alaee, Armando J. Cabrera Pacheco, Carla Cederbaum
The Bartnik mass is a notion of quasi-local mass which is remarkably difficult to compute. Mantoulidis and Schoen [2016] developed a novel technique to construct asymptotically fla…