6 papers
Boltzmann Graph Ensemble Embeddings for Aptamer Libraries
Starlika Bauskar, Jade Jiao, Narayanan Kannan +5
Machine-learning methods in biochemistry commonly represent molecules as graphs of pairwise intermolecular interactions for property and structure predictions. Most methods operate…
STORK: Faster Diffusion And Flow Matching Sampling By Resolving Both Stiffness And Structure-Dependence
Zheng Tan, Weizhen Wang, Andrea L. Bertozzi +1
Diffusion models (DMs) and flow-matching models have demonstrated remarkable performance in image and video generation. However, such models require a significant number of functio…
Explicit Monotone Stable Super-Time-Stepping Methods for Finite Time Singularities
Zheng Tan, Tariq D. Aslam, Andrea L. Bertozzi
We explore a novel way to numerically resolve the scaling behavior of finite-time singularities in solutions of nonlinear parabolic PDEs. The Runge--Kutta--Legendre (RKL) and Runge…
The 'Brazil-nut effect' in bidisperse particle laden flow on an incline
Jack Luong, Sarah Cassie Burnett, Andrea L. Bertozzi
We study bidisperse suspensions -- suspensions where there are two particle species of the same density but different sizes -- of a viscous fluid on an incline. We use a lubricatio…
Equilibrium theory of bidensity particle-laden suspensions in thin-film flow down a spiral separator
Lingyun Ding, Sarah C. Burnett, Andrea L. Bertozzi
Spiral gravity separators are designed to separate multi-species slurry components based on differences in density and size. Previous studies have investigated steady-state solutio…
A comparative study of dynamic models for gravity-driven particle-laden flows
Wing Pok Lee, Jonathan D. Woo, Luke F. Triplett +4
The dynamics of viscous thin-film particle-laden flows down inclined surfaces are commonly modeled with one of two approaches: a diffusive flux model or a suspension balance model.…