2.3k citations · 2.7k across the 51 of their papers we have counts for
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Disentangling positive and negative partisanship in social media interactions using a coevolving latent space network with attractors model
Xiaojing Zhu, Cantay Caliskan, Dino P. Christenson +3
We develop a broadly applicable class of coevolving latent space network with attractors (CLSNA) models, where nodes represent individual social actors assumed to lie in an unknown…
Geometry-informed irreversible perturbations for accelerated convergence of Langevin dynamics
Benjamin J. Zhang, Youssef M. Marzouk, Konstantinos Spiliopoulos
We introduce a novel geometry-informed irreversible perturbation that accelerates convergence of the Langevin algorithm for Bayesian computation. It is well documented that there e…
PDE-constrained Models with Neural Network Terms: Optimization and Global Convergence
Justin Sirignano, Jonathan MacArt, Konstantinos Spiliopoulos
Recent research has used deep learning to develop partial differential equation (PDE) models in science and engineering. The functional form of the PDE is determined by a neural ne…
Online Adjoint Methods for Optimization of PDEs
Justin Sirignano, Konstantinos Spiliopoulos
We present and mathematically analyze an online adjoint algorithm for the optimization of partial differential equations (PDEs). Traditional adjoint algorithms would typically solv…
Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations
Ioannis Gasteratos, Michael Salins, Konstantinos Spiliopoulos
The goal of this paper is to study the Moderate Deviation Principle (MDP) for a system of stochastic reaction-diffusion equations with a time-scale separation in slow and fast comp…