A good tutorial of Solve Partial Differential Equations Using Deep Learning (physics informed neural networks)

Question

Miraboreasu 2022-3-2

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回答： Akam Aboubakri 2022-8-11

Hello, instead of Python, I want to learn physics informed neural networks in MATLAB. I am using R2020a

https://www.mathworks.com/help/deeplearning/ug/solve-partial-differential-equations-using-deep-learning.html

Like there is no function called initializeHe, initializezeros, etc

I found this tutorial, but I just cannot follow it. What I suppoesed is to have a complete code, then I can make breakpoints, etc to learn it. However this one too many jumps, just don't know where I should look.

Can anyone help me?

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Answer 1

David Willingham 2022-3-3

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What version of MATLAB are you using? There is a function called arraydatastore.

Did you try opening the full script in MATLAB and running from there?

>> openExample('nnet/TrainPhysicsInformedNeuralNetworkWithDLTExample')

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Miraboreasu 2022-3-4

Then how about the function initializeHe, initializeZeros etc

Joseph Eom 2022-7-30

编辑：Joseph Eom 2022-7-30

https://www.mathworks.com/help/deeplearning/ug/solve-partial-differential-equations-using-deep-learning.html

This example supporting R2021a. I think you should upgrade recent version of MATLAB. initializeHe,initializeZeros is internal function to run this example.

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Answer 2

SEYED JAMALEDDIN MOSTAFAVI YAZDI 2022-6-28

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编辑：SEYED JAMALEDDIN MOSTAFAVI YAZDI 2022-6-28

I had same issue. I resolved it by installing the deep learning toolbox of MATLAB.

https://www.mathworks.com/products/deep-learning.html

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Answer 3

Akam Aboubakri 2022-8-11

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I had the same problem. I solved it with adding the following functions:

function parameter = initializeHe(sz,numIn,className)
arguments
    sz
    numIn
    className = 'single'
end
parameter = sqrt(2/numIn) * randn(sz,className);
parameter = dlarray(parameter);
end
function parameter = initializeZeros(sz,className)
arguments
    sz
    className = 'single'
end
parameter = zeros(sz,className);
parameter = dlarray(parameter);
end