3 papers
math.AP2018
A Potential Space Estimate for Solutions of Systems of Nonlocal Equations in Peridynamics
James Scott, Tadele Mengesha
We show that weak solutions to the strongly-coupled system of nonlocal equations of linearized peridynamics belong to a potential space with higher integrability. Specifically, we…
cs.LG2018
A Distributed Second-Order Algorithm You Can Trust
Celestine Dünner, Aurelien Lucchi, Matilde Gargiani +3
Due to the rapid growth of data and computational resources, distributed optimization has become an active research area in recent years. While first-order methods seem to dominate…
cs.LG2018
Optimal DR-Submodular Maximization and Applications to Provable Mean Field Inference
An Bian, Joachim M. Buhmann, Andreas Krause
Mean field inference in probabilistic models is generally a highly nonconvex problem. Existing optimization methods, e.g., coordinate ascent algorithms, can only generate local opt…