Multiwavelets-based operator model

Overview

Multiwavelet model for Operator maps

Image Gaurav Gupta, Xiongye Xiao, and Paul Bogdan
Multiwavelet-based Operator Learning for Differential Equations
In NeurIPS 2021. arXiv:2109.13459

Setup

Requirements

The code package is developed using Python 3.8 and Pytorch 1.8 with cuda 11.0. For running the experiments first install the required packages using 'requirements.txt'

Experiments

Data

Generate the data using the scripts provided in the 'Data' directory. The scripts use Matlab 2018+. A sample generated dataset for KdV is uploaded at KdV data.

For the experiments on Burgers, Darcy, and Navier Stokes, the code package uses the datasets as provided in the following repository by the Authors Zongyi Li et al.

PDE datasets

Scripts

Choose the required model from the models (1-d, 2-d, 2-d time-varying) and pass-in the required polynomial: 'legendre' or 'chebyshev'. Next, choose the desired value of multiwavelets 'k'.

kDV

As an example, a complete pipeline is shown for the kDV equation in the attached kDV.ipynb notebook.

Navier Stokes

The pre-trained models for Navier Stokes equation is provided using the following link:

NS Pre trained

A visual of time-evolution of the estimated outputs of the pre-trained models is available Here.

To test the model, first download the models to the 'ptmodels' directory. Next, For N=1000, T = 50, \nu = 1e-3

python test_NS_MWT_N_1000.py

For N = 10000, T = 30, \nu = 1e-4

python test_NS_MWT_N_10000.py

Note: The NS experiments were done using Pytorch 1.7 cuda 11.0

Citation

If you use this code, or our work, please cite:

@misc{gupta2021multiwavelet,
      title={Multiwavelet-based Operator Learning for Differential Equations}, 
      author={Gaurav Gupta and Xiongye Xiao and Paul Bogdan},
      year={2021},
      eprint={2109.13459},
      archivePrefix={arXiv},
      primaryClass={cs.LG}
}
Owner
Gaurav
PhD Candidate at USC Viterbi.
Gaurav
[CVPR 2021] Exemplar-Based Open-Set Panoptic Segmentation Network (EOPSN)

EOPSN: Exemplar-Based Open-Set Panoptic Segmentation Network (CVPR 2021) PyTorch implementation for EOPSN. We propose open-set panoptic segmentation t

Jaedong Hwang 49 Dec 30, 2022
A faster pytorch implementation of faster r-cnn

A Faster Pytorch Implementation of Faster R-CNN Write at the beginning [05/29/2020] This repo was initaited about two years ago, developed as the firs

Jianwei Yang 7.1k Jan 01, 2023
render sprites into your desktop environment as shaped windows using GTK

spritegtk render static or animated sprites into your desktop environment as dynamic shaped windows using GTK requires pycairo and PYGobject: pip inst

hermit 20 Oct 27, 2022
Video lie detector using xgboost - A video lie detector using OpenFace and xgboost

video_lie_detector_using_xgboost a video lie detector using OpenFace and xgboost

2 Jan 11, 2022
Codes for our IJCAI21 paper: Dialogue Discourse-Aware Graph Model and Data Augmentation for Meeting Summarization

DDAMS This is the pytorch code for our IJCAI 2021 paper Dialogue Discourse-Aware Graph Model and Data Augmentation for Meeting Summarization [Arxiv Pr

xcfeng 55 Dec 27, 2022
Code for ECCV 2020 paper "Contacts and Human Dynamics from Monocular Video".

Contact and Human Dynamics from Monocular Video This is the official implementation for the ECCV 2020 spotlight paper by Davis Rempe, Leonidas J. Guib

Davis Rempe 207 Jan 05, 2023
PyTorch implementation of CVPR 2020 paper (Reference-Based Sketch Image Colorization using Augmented-Self Reference and Dense Semantic Correspondence) and pre-trained model on ImageNet dataset

Reference-Based-Sketch-Image-Colorization-ImageNet This is a PyTorch implementation of CVPR 2020 paper (Reference-Based Sketch Image Colorization usin

Yuzhi ZHAO 11 Jul 28, 2022
A simple python library for fast image generation of people who do not exist.

Random Face A simple python library for fast image generation of people who do not exist. For more details, please refer to the [paper](https://arxiv.

Sergei Belousov 170 Dec 15, 2022
Code For TDEER: An Efficient Translating Decoding Schema for Joint Extraction of Entities and Relations (EMNLP2021)

TDEER (WIP) Code For TDEER: An Efficient Translating Decoding Schema for Joint Extraction of Entities and Relations (EMNLP2021) Overview TDEER is an e

Alipay 6 Dec 17, 2022
Teaching end to end workflow of deep learning

Deep-Education This repository is now available for public use for teaching end to end workflow of deep learning. This implies that learners/researche

Data Lab at College of William and Mary 2 Sep 26, 2022
Code for unmixing audio signals in four different stems "drums, bass, vocals, others". The code is adapted from "Jukebox: A Generative Model for Music"

Status: Archive (code is provided as-is, no updates expected) Disclaimer This code is a based on "Jukebox: A Generative Model for Music" Paper We adju

Wadhah Zai El Amri 24 Dec 29, 2022
Transformers based fully on MLPs

Awesome MLP-based Transformers papers An up-to-date list of Transformers based fully on MLPs without attention! Why this repo? After transformers and

Fawaz Sammani 35 Dec 30, 2022
GDSC-ML Team Interview Task

GDSC-ML-Team---Interview-Task Task 1 : Clean or Messy room In this task we have to classify the given test images as clean or messy. - Link for datase

Aayush. 1 Jan 19, 2022
JudeasRx - graphical app for doing personalized causal medicine using the methods invented by Judea Pearl et al.

JudeasRX Instructions Read the references given in the Theory and Notation section below Fire up the Jupyter Notebook judeas-rx.ipynb The notebook dra

Robert R. Tucci 19 Nov 07, 2022
The official implementation of paper Siamese Transformer Pyramid Networks for Real-Time UAV Tracking, accepted by WACV22

SiamTPN Introduction This is the official implementation of the SiamTPN (WACV2022). The tracker intergrates pyramid feature network and transformer in

Robotics and Intelligent Systems Control @ NYUAD 28 Nov 25, 2022
基于PaddleOCR搭建的OCR server... 离线部署用

开头说明 DangoOCR 是基于大家的 CPU处理器 来运行的,CPU处理器 的好坏会直接影响其速度, 但不会影响识别的精度 ,目前此版本识别速度可能在 0.5-3秒之间,具体取决于大家机器的配置,可以的话尽量不要在运行时开其他太多东西。需要配合团子翻译器 Ver3.6 及其以上的版本才可以使用!

胖次团子 131 Dec 25, 2022
A Lightweight Hyperparameter Optimization Tool 🚀

Lightweight Hyperparameter Optimization 🚀 The mle-hyperopt package provides a simple and intuitive API for hyperparameter optimization of your Machin

136 Jan 08, 2023
TensorFlow2 Classification Model Zoo playing with TensorFlow2 on the CIFAR-10 dataset.

Training CIFAR-10 with TensorFlow2(TF2) TensorFlow2 Classification Model Zoo. I'm playing with TensorFlow2 on the CIFAR-10 dataset. Architectures LeNe

Chia-Hung Yuan 16 Sep 27, 2022
This repo implements a 3D segmentation task for an airport baggage dataset.

3D CT Scan Segmentation With Occupancy Network This repo implements a 3D superresolution segmentation task for an airport baggage dataset. Our final p

Christoph Reich 2 Mar 28, 2022
BitPack is a practical tool to efficiently save ultra-low precision/mixed-precision quantized models.

BitPack is a practical tool that can efficiently save quantized neural network models with mixed bitwidth.

Zhen Dong 36 Dec 02, 2022