From the 1 of 17 linked papers with an AI index.
4 papers · 1 filter
Scalable Graph Coreset Selection via Greedy Sampling
Zhaiming Shen, Alexander Cloninger
The paper introduces a greedy column‑selective algorithm that samples representative nodes from large graphs using only small random subsets of Laplacian columns, avoiding eigendec…
Optimal Transport, Timesteppers, Newton-Krylov Methods and Steady States of Collective Particle Dynamics
Hannes Vandecasteele, Nicholas Karris, Alexander Cloninger +1
Timesteppers constitute a powerful tool in modern computational science and engineering. Although they are typically used to advance the system forward in time, they can also be vi…
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems
Nicholas Karris, Evangelos A. Nikitopoulos, Ioannis G. Kevrekidis +2
We develop an Euler-type method to predict the evolution of a time-dependent probability measure without explicitly learning an operator that governs its evolution. We use lineariz…
A neural network kernel decomposition for learning multiple steady states in parameterized dynamical systems
Yimeng Zhang, Alexander Cloninger, Bo Li +1
We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for system…