On latent dynamics learning in nonlinear reduced order modeling
In this work, we present the novel mathematical framework of latent dynamics models
(LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our …
(LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our …
Physics‐Informed Active Learning With Simultaneous Weak‐Form Latent Space Dynamics Identification
The parametric greedy latent space dynamics identification (gLaSDI) framework has
demonstrated promising potential for accurate and efficient modeling of high‐dimensional …
demonstrated promising potential for accurate and efficient modeling of high‐dimensional …
Accelerating phase field simulations through a hybrid adaptive Fourier neural operator with U-net backbone
Prolonged contact between a corrosive liquid and metal alloys can cause progressive
dealloying. For one such process as liquid-metal dealloying (LMD), phase field models have …
dealloying. For one such process as liquid-metal dealloying (LMD), phase field models have …
An Augmented Lagrangian Trust‐Region Method With Inexact Gradient Evaluations to Accelerate Constrained Optimization Problems Using Model Hyperreduction
We present an augmented Lagrangian trust‐region method to efficiently solve constrained
optimization problems governed by large‐scale nonlinear systems with application to partial …
optimization problems governed by large‐scale nonlinear systems with application to partial …
[HTML][HTML] Sparsified time-dependent Fourier neural operators for fusion simulations
This paper presents a sparsified Fourier neural operator for coupled time-dependent partial
differential equations (ST-FNO) as an efficient machine learning surrogate for fluid and …
differential equations (ST-FNO) as an efficient machine learning surrogate for fluid and …
Sparse -Autoencoders for Scientific Data Compression
Scientific datasets present unique challenges for machine learning-driven compression
methods, including more stringent requirements on accuracy and mitigation of potential …
methods, including more stringent requirements on accuracy and mitigation of potential …
[PDF][PDF] WgLaSDI: Weak-Form Greedy Latent Space Dynamics Identification
The parametric greedy latent space dynamics identification (gLaSDI) framework has
demonstrated promising potential for accurate and efficient modeling of high-dimensional …
demonstrated promising potential for accurate and efficient modeling of high-dimensional …