4 papers
Fast expansion into harmonics on the ball
Joe Kileel, Nicholas F. Marshall, Oscar Mickelin +1
We devise fast and provably accurate algorithms to transform between an Cartesian voxel representation of a three-dimensional function and its expansion into t…
Tensor learning with orthogonal, Lorentz, and symplectic symmetries
Wilson G. Gregory, Josué Tonelli-Cueto, Nicholas F. Marshall +2
Tensors are a fundamental data structure for many scientific contexts, such as time series analysis, materials science, and physics, among many others. Improving our ability to pro…
Moment-based metrics for molecules computable from cryo-EM images
Andy Zhang, Oscar Mickelin, Joe Kileel +4
Single particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of recovering the high-resolution 3-D structure of biological macromolecules from many noisy…
Randomized Kaczmarz with geometrically smoothed momentum
Seth J. Alderman, Roan W. Luikart, Nicholas F. Marshall
This paper studies the effect of adding geometrically smoothed momentum to the randomized Kaczmarz algorithm, which is an instance of stochastic gradient descent on a linear least…