40 citations · 153 across the 14 of their papers we have counts for
16 papers
Random blob methods for diffusion
Katy Craig, Claire Murphy
Linear and nonlinear diffusion equations arise in a range of phenomena of mathematical interest, including slow and fast diffusion, sandpile dynamics, height-constrained transport,…
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
Katy Craig, Karthik Elamvazhuthi, Matt Haberland +1
As a counterpoint to classical stochastic particle methods for linear diffusion equations, we develop a deterministic particle method for the weighted porous medium equation (WPME)…
Which Metric on the Space of Collider Events?
Tianji Cai, Junyi Cheng, Katy Craig +1
Which is the best metric for the space of collider events? Motivated by the success of the Energy Mover's Distance in characterizing collider events, we explore the larger space of…
Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker-Planck interpolation
Katy Craig, Nicolás García Trillos, Dejan Slepčev
In this work we build a unifying framework to interpolate between density-driven and geometry-based algorithms for data clustering, and specifically, to connect the mean shift algo…
Linearized Optimal Transport for Collider Events
Tianji Cai, Junyi Cheng, Katy Craig +1
We introduce an efficient framework for computing the distance between collider events using the tools of Linearized Optimal Transport (LOT). This preserves many of the advantages…
A Proximal-Gradient Algorithm for Crystal Surface Evolution
Katy Craig, Jian-Guo Liu, Jianfeng Lu +2
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulati…