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README.md

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# NeuralOperators
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[![Join the chat at https://julialang.zulipchat.com #sciml-bridged](https://img.shields.io/static/v1?label=Zulip&message=chat&color=9558b2&labelColor=389826)](https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged)
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[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](http://neuraloperators.sciml.ai/stable/)
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[![Global Docs](https://img.shields.io/badge/docs-SciML-blue.svg)](https://docs.sciml.ai/dev/modules/NeuralOperators/)
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[![Global Docs](https://img.shields.io/badge/docs-SciML-blue.svg)](https://docs.sciml.ai/NeuralOperators/stable/)
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[![codecov](https://codecov.io/gh/SciML/NeuralOperators.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/SciML/NeuralOperators.jl)
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[![Build Status](https://github.com/SciML/NeuralOperators.jl/workflows/CI/badge.svg)](https://github.com/SciML/NeuralOperators.jl/actions?query=workflow%3ACI)

docs/make.jl

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sitename = "NeuralOperators.jl",
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format = Documenter.HTML(;
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prettyurls = get(ENV, "CI", "false") == "true",
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canonical = "http://neuraloperators.sciml.ai",
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canonical = "https://docs.sciml.ai/NeuralOperators/stable/",
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assets = String[]),
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pages = pages)
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example/DoublePendulum/README.md

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we train the model with the famous dataset provided by IBM.
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The equation of motion to the real experiments of double pendulum is learned by a two-dimensional Fourier neural operator.
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It learns to inference the next 30 steps with the given first 30 steps.
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The result of this example can be found [here](https://neuraloperators.sciml.ai/dev/assets/notebook/double_pendulum.jl.html).
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The result of this example can be found [here](https://docs.sciml.ai/NeuralOperators/stable/assets/notebook/double_pendulum.jl.html).
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![](gallery/result.gif)
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example/FlowOverCircle/README.md

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# Flow over the circle
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The time dependent Navier-Stokes equation is learned by the `MarkovNeuralOperator` with only one time step information.
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The result of this example can be found [here](https://neuraloperators.sciml.ai/dev/assets/notebook/mno.jl.html).
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The result of this example can be found [here](https://docs.sciml.ai/NeuralOperators/stable/assets/notebook/mno.jl.html).
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| **Ground Truth** | **Inferenced** |
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|:----------------:|:--------------:|

example/SuperResolution/README.md

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# Super Resolution
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The time dependent Navier-Stokes equation is learned by the `MarkovNeuralOperator` with only one time step information.
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The result of this example can be found [here](https://neuraloperators.sciml.ai/dev/assets/notebook/super_resolution_mno.jl.html).
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The result of this example can be found [here](https://docs.sciml.ai/NeuralOperators/stable/assets/notebook/super_resolution_mno.jl.html).
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Apart from just training a MNO, here, we train the model with lower resolution (96x64) and inference result with higher resolution (192x128).
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