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20212026
most citedAccelerated replica exchange stochastic gradient Langevin diffusion enhanced Bayesian DeepONet for solving noisy parametric PDEs

14 citations · 42 across the 25 of their papers we have counts for

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Showing 2023Show all

7 papers · 1 filter

cs.LG2023

B-LSTM-MIONet: Bayesian LSTM-based Neural Operators for Learning the Response of Complex Dynamical Systems to Length-Variant Multiple Input Functions

Zhihao Kong, Amirhossein Mollaali, Christian Moya +2

Deep Operator Network (DeepONet) is a neural network framework for learning nonlinear operators such as those from ordinary differential equations (ODEs) describing complex systems…

cs.LG2023

A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients

Amirhossein Mollaali, Izzet Sahin, Iqrar Raza +3

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often re…

math.NA2023

D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators

Zecheng Zhang, Christian Moya, Lu Lu +2

Neural operators have been applied in various scientific fields, such as solving parametric partial differential equations, dynamical systems with control, and inverse problems. Ho…

math.NA2023

Bayesian deep operator learning for homogenized to fine-scale maps for multiscale PDE

Zecheng Zhang, Christian Moya, Wing Tat Leung +2

We present a new framework for computing fine-scale solutions of multiscale Partial Differential Equations (PDEs) using operator learning tools. Obtaining fine-scale solutions of m…

physics.flu-dyn2023★ 2 cited

Deep Operator Learning-based Surrogate Models with Uncertainty Quantification for Optimizing Internal Cooling Channel Rib Profiles

Izzet Sahin, Christian Moya, Amirhossein Mollaali +2

This paper designs surrogate models with uncertainty quantification capabilities to improve the thermal performance of rib-turbulated internal cooling channels effectively. To cons…

cs.LG2023

NSGA-PINN: A Multi-Objective Optimization Method for Physics-Informed Neural Network Training

Binghang Lu, Christian B. Moya, Guang Lin

This paper presents NSGA-PINN, a multi-objective optimization framework for effective training of Physics-Informed Neural Networks (PINNs). The proposed framework uses the Non-domi…

cs.LG2023★ 6 cited

On Approximating the Dynamic Response of Synchronous Generators via Operator Learning: A Step Towards Building Deep Operator-based Power Grid Simulators

Christian Moya, Amirhossein Mollaali, Guang Lin +1

This paper develops an Operator Learning framework for approximating the dynamic response of synchronous generators. The framework can be used to (i) build a neural network-based g…