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Blue-Giant's Projects

conservative_pinns icon conservative_pinns

We propose a conservative physics-informed neural network (cPINN) on decompose domains for nonlinear conservation laws. The conservation property of cPINN is obtained by enforcing the flux continuity in the strong form along the sub-domain interfaces.

ddm_rbf icon ddm_rbf

Solution of the Laplace equation in 2D using Domain Decomposition Method and Radial Basis Functions

deep-learning-for-inverse-problems icon deep-learning-for-inverse-problems

This project hosts the code and datasets I used for Deep Learning course at Boston University. It aims to post-process the images the low quality images produced as a result of solving inverse problems in imaging (particularly Computed Tomography) and produce high-quality images.

deeplm icon deeplm

DeepLM: Large-scale Nonlinear Least Squares on Deep Learning Frameworks using Stochastic Domain Decomposition (CVPR 2021)

deeponet icon deeponet

Learning nonlinear operators via DeepONet

deeppde-liddrivencavityflow icon deeppde-liddrivencavityflow

The lid-driven cavity is a popular problem within the field of computational fluid dynamics (CFD) for validating computational methods. In this repository, we will walk through the process of generating a 2D flow simulation for the Lid Driven Cavity (LDC) flow using Nvidia Modulus framework.

deeppriors icon deeppriors

Demo on using deep signal priors for inverse problems

dinn icon dinn

Disease Informed Neural Networks (DINNs) — neural networks capable of learning how diseases spread, forecasting their progression, and finding their unique parameters (e.g. death rate).

efficient-kan_lxa icon efficient-kan_lxa

An efficient pure-PyTorch implementation of Kolmogorov-Arnold Network (KAN).

fmpinn icon fmpinn

Solving a class of elliptic partial differential equations(PDEs) with multiple scales utilizing Fourier-based mixed physics informed neural networks(dubbed FMPINN), the solver of FMPINN is configured as a multi-scale deep neural networks.

fno icon fno

Fourier_neural_operator

fourier_nn_csd3 icon fourier_nn_csd3

Experiments with FNO and its variants over MHD and Navier-Stokes Modelling

gcn icon gcn

Implementation of Graph Convolutional Networks in TensorFlow

gf-net-learninggreen- icon gf-net-learninggreen-

Code for paper "Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver"

greenfunction icon greenfunction

Polynomial approximation of Green functions. Inner product space class.

greenlearning icon greenlearning

Learning Green's functions of partial differential equations with deep learning.

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