2 citations · 4 across the 5 of their papers we have counts for
5 papers
Permanent magnet optimization of stellarators with coupling from finite permeability and demagnetization effects
Armin Ulrich, Mason Haberle, Alan A. Kaptanoglu
Permanent magnets provide an attractive path for shaping university-scale stellarator magnetic fields. Previous work has shown that greedy permanent magnet optimization (GPMO) can…
Weak Diffusive Stability of Roll Solutions at the Zigzag Boundary
Abhijit Chowdhary, Mason Haberle, William Ofori-atta +1
Roll solutions at the zigzag boundary, typically selected by patterns and defects in numerical simulations, are shown to be nonlinearly stable. This result also serves as an exampl…
Communication Bounds for Convolutional Neural Networks
Anthony Chen, James Demmel, Grace Dinh +2
Convolutional neural networks (CNNs) are important in a wide variety of machine learning tasks and applications, so optimizing their performance is essential. Moving words of data…
A Full Study of the Dynamics on One-Holed Dilation Tori
Mason Haberle, Jane Wang
An open question in the study of dilation surfaces is to determine the typical dynamical behavior of the directional flow on a fixed dilation surface. We show that on any one-holed…
Nonlinear Stability at the Zigzag Boundary
Mason Haberle, Abhijit Chowdhary, Qiliang Wu
We investigate the dynamics of roll solutions at the zigzag boundary of the planar Swift-Hohenberg equation. Linear analysis shows an algebraic decay of small perturbation with a $…