Experiments with Fourier layers on simulation data.

Overview

Teaser

Factorized Fourier Neural Operators

This repository contains the code to reproduce the results in our NeurIPS 2021 ML4PS workshop paper, Factorized Fourier Neural Operators.

The Fourier Neural Operator (FNO) is a learning-based method for efficiently simulating partial differential equations. We propose the Factorized Fourier Neural Operator (F-FNO) that allows much better generalization with deeper networks. With a careful combination of the Fourier factorization, weight sharing, the Markov property, and residual connections, F-FNOs achieve a six-fold reduction in error on the most turbulent setting of the Navier-Stokes benchmark dataset. We show that our model maintains an error rate of 2% while still running an order of magnitude faster than a numerical solver, even when the problem setting is extended to include additional contexts such as viscosity and time-varying forces. This enables the same pretrained neural network to model vastly different conditions.

Getting Started

# Set up pyenv and pin python version to 3.9.7
curl https://pyenv.run | bash
# Configure our shell's environment for pyenv
pyenv install 3.9.7
pyenv local 3.9.7

# Set up poetry
curl -sSL https://raw.githubusercontent.com/python-poetry/poetry/master/install-poetry.py | python -
export PATH="$HOME/.local/bin:$PATH"

# Install all python dependencies
poetry install
source .venv/bin/activate # or: poetry shell
# If we need to use Jupyter notebooks
python -m ipykernel install --user --name fourierflow --display-name "fourierflow"
# Temp fix until allennlp has upgraded transformers dependencies to 4.11
poe update-transformers
# Manually reinstall Pytorch with CUDA 11.1 support
# Monitor poetry's support for pytorch here: https://github.com/python-poetry/poetry/issues/2613
poe install-torch-cuda11

# set default paths
cp example.env .env
# The environment variables in .env will be loaded automatically when running
# fourierflow train, but we can also load them manually in our terminal
export $(cat .env | xargs)

# Alternatively, you can pass the paths to the system using env vars, e.g.
FNO_DATA_ROOT=/My/Data/Location fourierflow

Navier Stokes Experiments

You can download all of our datasets and pretrained model as follows:

# Datasets (209GB)
wget --continue https://object-store.rc.nectar.org.au/v1/AUTH_c0e4d64401cf433fb0260d211c3f23f8/fourierflow/data.tar.gz
tar -zxvf data.tar.gz

# Pretrained models and results (30GB)
wget --continue https://object-store.rc.nectar.org.au/v1/AUTH_c0e4d64401cf433fb0260d211c3f23f8/fourierflow/experiments.tar.gz
tar -zxvf experiments.tar.gz

Alternatively, you can also generate the datasets from scratch:

# Download Navier Stokes datasets
fourierflow download fno

# Generate Navier Stokes on toruses with a different forcing function and
# viscosity for each sample. Takes 14 hours.
fourierflow generate navier-stokes --force random --cycles 2 --mu-min 1e-5 \
    --mu-max 1e-4 --steps 200 --delta 1e-4 \
    data/navier-stokes/random_force_mu.h5

# Generate Navier Stokes on toruses with a different time-varying forcing
# function and a different viscosity for each sample. Takes 21 hours.
fourierflow generate navier-stokes --force random --cycles 2 --mu-min 1e-5 \
    --mu-max 1e-4 --steps 200 --delta 1e-4 --varying-force \
    data/navier-stokes/random_varying_force_mu.h5

# If we decrease delta from 1e-4 to 1e-5, generating the same dataset would now
# take 10 times as long, while the difference between the solutions in step 20
# is only 0.04%.

Training and test commands:

# Reproducing SOA model on Navier Stokes from Li et al (2021).
fourierflow train --trial 0 experiments/navier_stokes_4/zongyi/4_layers/config.yaml

# Train with our best model
fourierflow train --trial 0 experiments/navier_stokes_4/markov/24_layers/config.yaml

# Get inference time on test set
fourierflow predict --trial 0 experiments/navier_stokes_4/markov/24_layers/config.yaml

Visualization commands:

# Create all plots and tables for paper
fourierflow plot layer
fourierflow plot complexity
fourierflow plot table-3

# Create the flow animation for presentation
fourierflow plot flow

# Create plots for the poster
fourierflow plot poster
Owner
Alasdair Tran
Just another collection of fermions and bosons.
Alasdair Tran
Microsoft Cognitive Toolkit (CNTK), an open source deep-learning toolkit

CNTK Chat Windows build status Linux build status The Microsoft Cognitive Toolkit (https://cntk.ai) is a unified deep learning toolkit that describes

Microsoft 17.3k Dec 29, 2022
An Industrial Grade Federated Learning Framework

DOC | Quick Start | 中文 FATE (Federated AI Technology Enabler) is an open-source project initiated by Webank's AI Department to provide a secure comput

Federated AI Ecosystem 4.8k Jan 09, 2023
CIFAR-10 Photo Classification

Image-Classification CIFAR-10 Photo Classification CIFAR-10_Dataset_Classfication CIFAR-10 Photo Classification Dataset CIFAR is an acronym that stand

ADITYA SHAH 1 Jan 05, 2022
Image Segmentation and Object Detection in Pytorch

Image Segmentation and Object Detection in Pytorch Pytorch-Segmentation-Detection is a library for image segmentation and object detection with report

Daniil Pakhomov 732 Dec 10, 2022
Caffe implementation for Hu et al. Segmentation for Natural Language Expressions

Segmentation from Natural Language Expressions This repository contains the Caffe reimplementation of the following paper: R. Hu, M. Rohrbach, T. Darr

10 Jul 27, 2021
Fast Scattering Transform with CuPy/PyTorch

Announcement 11/18 This package is no longer supported. We have now released kymatio: http://www.kymat.io/ , https://github.com/kymatio/kymatio which

Edouard Oyallon 289 Dec 07, 2022
RepVGG: Making VGG-style ConvNets Great Again

RepVGG: Making VGG-style ConvNets Great Again (PyTorch) This is a super simple ConvNet architecture that achieves over 80% top-1 accuracy on ImageNet

2.8k Jan 04, 2023
gym-anm is a framework for designing reinforcement learning (RL) environments that model Active Network Management (ANM) tasks in electricity distribution networks.

gym-anm is a framework for designing reinforcement learning (RL) environments that model Active Network Management (ANM) tasks in electricity distribution networks. It is built on top of the OpenAI G

Robin Henry 99 Dec 12, 2022
tensorrt int8 量化yolov5 4.0 onnx模型

onnx模型转换为 int8 tensorrt引擎

123 Dec 28, 2022
PyTorch and GPyTorch implementation of the paper "Conditioning Sparse Variational Gaussian Processes for Online Decision-making."

Conditioning Sparse Variational Gaussian Processes for Online Decision-making This repository contains a PyTorch and GPyTorch implementation of the pa

Wesley Maddox 16 Dec 08, 2022
Source code for "FastBERT: a Self-distilling BERT with Adaptive Inference Time".

FastBERT Source code for "FastBERT: a Self-distilling BERT with Adaptive Inference Time". Good News 2021/10/29 - Code: Code of FastPLM is released on

Weijie Liu 584 Jan 02, 2023
这是一个yolo3-tf2的源码,可以用于训练自己的模型。

YOLOV3:You Only Look Once目标检测模型在Tensorflow2当中的实现 目录 性能情况 Performance 所需环境 Environment 文件下载 Download 训练步骤 How2train 预测步骤 How2predict 评估步骤 How2eval 参考资料

Bubbliiiing 68 Dec 21, 2022
[NeurIPS 2021] "Delayed Propagation Transformer: A Universal Computation Engine towards Practical Control in Cyber-Physical Systems"

Delayed Propagation Transformer: A Universal Computation Engine towards Practical Control in Cyber-Physical Systems Introduction Multi-agent control i

VITA 6 May 05, 2022
Python-based Informatics Kit for Analysing Chemical Units

INSTALLATION Python-based Informatics Kit for the Analysis of Chemical Units Step 1: Make a conda environment: conda create -n pikachu python=3.9 cond

47 Dec 23, 2022
MAT: Mask-Aware Transformer for Large Hole Image Inpainting

MAT: Mask-Aware Transformer for Large Hole Image Inpainting (CVPR2022, Oral) Wenbo Li, Zhe Lin, Kun Zhou, Lu Qi, Yi Wang, Jiaya Jia [Paper] News This

254 Dec 29, 2022
Apply Graph Self-Supervised Learning methods to graph-level task(TUDataset, MolculeNet Datset)

Graphlevel-SSL Overview Apply Graph Self-Supervised Learning methods to graph-level task(TUDataset, MolculeNet Dataset). It is unified framework to co

JunSeok 8 Oct 15, 2021
Code for testing convergence rates of Lipschitz learning on graphs

📈 LipschitzLearningRates The code in this repository reproduces the experimental results on convergence rates for k-nearest neighbor graph infinity L

2 Dec 20, 2021
An OpenAI Gym environment for Super Mario Bros

gym-super-mario-bros An OpenAI Gym environment for Super Mario Bros. & Super Mario Bros. 2 (Lost Levels) on The Nintendo Entertainment System (NES) us

Andrew Stelmach 1 Jan 05, 2022
Modeling Temporal Concept Receptive Field Dynamically for Untrimmed Video Analysis

Modeling Temporal Concept Receptive Field Dynamically for Untrimmed Video Analysis This is a PyTorch implementation of the model described in our pape

qzhb 6 Jul 08, 2021
HiFi++: a Unified Framework for Neural Vocoding, Bandwidth Extension and Speech Enhancement

HiFi++ : a Unified Framework for Neural Vocoding, Bandwidth Extension and Speech Enhancement This is the unofficial implementation of Vocoder part of

Rishikesh (ऋषिकेश) 118 Dec 29, 2022