3 papers
stat.ML2024
Training on the Edge of Stability Is Caused by Layerwise Jacobian Alignment
Mark Lowell, Catharine Kastner
During neural network training, the sharpness of the Hessian matrix of the training loss rises until training is on the edge of stability. As a result, even nonstochastic gradient…
cs.CV2022
Centerpoints Are All You Need in Overhead Imagery
James Mason Inder, Mark Lowell, Andrew J. Maltenfort
Labeling data to use for training object detectors is expensive and time consuming. Publicly available overhead datasets for object detection are labeled with image-aligned boundin…
math.SG2015
A Seifert-van Kampen Theorem for Legendrian Submanifolds and Exact Lagrangian Cobordisms
Mark Lowell
We prove a Seifert-van Kampen theorem for Legendrian submanifolds and exact Lagrangian cobordisms, and use it to calculate the change in the DGA caused by critical Legendrian ambie…