10 citations · 24 across the 9 of their papers we have counts for
9 papers
Evaluating the diversity and utility of materials proposed by generative models
Alexander New, Michael Pekala, Elizabeth A. Pogue +4
Generative machine learning models can use data generated by scientific modeling to create large quantities of novel material structures. Here, we assess how one state-of-the-art g…
Curvature-informed multi-task learning for graph networks
Alexander New, Michael J. Pekala, Nam Q. Le +3
Properties of interest for crystals and molecules, such as band gap, elasticity, and solubility, are generally related to each other: they are governed by the same underlying laws…
Hadamard-type inequalities for -positive matrices
Nam Q. Le
We establish Hadamard-type inequalities for a class of symmetric matrices called -positive matrices for which the -th elementary symmetric functions of their eigenvalues are…
On optimal Hölder regularity of solutions to the equation in two dimensions
Nam Q. Le
We show that for an drift in two dimensions, if the Hardy norm of is small, then the weak solutions to have the same optimal Hölder r…
solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations
Nam Q. Le
The second boundary value problem of the prescribed affine mean curvature equation is a nonlinear, fourth order, geometric partial differential equation. It was introduced by Trudi…
On the second inner variations of Allen-Cahn type energies and applications to local minimizers
Nam Q. Le
In this paper, we obtain an explicit formula for the discrepancy between the limit of the second inner variations of -Laplace Allen-Cahn energies and the second inner variation…