205 citations · 421 across the 17 of their papers we have counts for
19 papers
Analyzing the Performance of Deep Encoder-Decoder Networks as Surrogates for a Diffusion Equation
J. Quetzalcoatl Toledo-Marin, James A. Glazier, Geoffrey Fox
Neural networks (NNs) have proven to be a viable alternative to traditional direct numerical algorithms, with the potential to accelerate computational time by several orders of ma…
libRoadRunner 2.0: A High-Performance SBML Simulation and Analysis Library
Ciaran Welsh, Jin Xu, Lucian Smith +3
Motivation: This paper presents libRoadRunner 2.0, an extensible, high-performance, cross-platform, open-source software library for the simulation and analysis of models expressed…
Real-Time Interactive Modeling and Simulation in Biological Physics and Active Matter with Mechanica
Endre T. Somogyi, Jeffery Coulter, Fanbo Sun +2
Modeling and simulation (M&S) has revolutionized the way modern engineered products are designed, tested and evaluated. Yet modeling and simulation is much less frequently applied…
Deep learning approaches to surrogates for solving the diffusion equation for mechanistic real-world simulations
J. Quetzalcóatl Toledo-Marín, Geoffrey Fox, James P. Sluka +1
In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations…
Using Deep LSD to build operators in GANs latent space with meaning in real space
J. Quetzalcoatl Toledo-Marin, James A. Glazier
Generative models rely on the key idea that data can be represented in terms of latent variables which are uncorrelated by definition. Lack of correlation is important because it s…
Exact solution for the Anisotropic Ornstein-Uhlenbeck Process
Rita M. C. de Almeida, Guilherme S. Y. Giardini, Mendeli Vainstein +2
Active Matter models commonly consider particles with overdamped dynamics subject to a force (speed) with constant modulus and random direction. Some models include also random noi…