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Can Convolutional Neural Networks (CNN) be represented by a Mathematical formula?


Why does “Depth = Semantic representation” in convolutional neural networks?Why do convolutional neural networks work?Convolutional Neural Networks for Sensor DataConvolutional Neural networksConvolutional Neural Networks layer sizesHybrid Convolutional and Conventional Neural NetworksDetecting directions using Convolutional neural networksEquivariance vs Invariance in Convolutional Neural NetworksConvolutional neural networks for non-image applications?Convolution Neural Networks on microcontrollers













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$begingroup$


Let's say that I already trained my CNN. Is there anyway of my ouput to be represented as a formula just like a perceptron can (x1w1 + x2w2 + ... = PREDICTION).



It does not matter if the formula is more complicated than the perceptron one, but in general would it be possible to train a CNN in Python or Matlab, get the weights and create an arithmetic, exponential, whatever formula made with those acquired weights?



With that, after training, I would be able to apply my new values to this formula and get a desired output/prediciton values.



I want to do this because I am trying classify in a PIC32 (a low cost microchip) which I think that does not have the capacity to perform a CNN within itself.



Or, for example, should I pursue the idea of some sort of "C library" that can do CNNs?









share







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$endgroup$
















    0












    $begingroup$


    Let's say that I already trained my CNN. Is there anyway of my ouput to be represented as a formula just like a perceptron can (x1w1 + x2w2 + ... = PREDICTION).



    It does not matter if the formula is more complicated than the perceptron one, but in general would it be possible to train a CNN in Python or Matlab, get the weights and create an arithmetic, exponential, whatever formula made with those acquired weights?



    With that, after training, I would be able to apply my new values to this formula and get a desired output/prediciton values.



    I want to do this because I am trying classify in a PIC32 (a low cost microchip) which I think that does not have the capacity to perform a CNN within itself.



    Or, for example, should I pursue the idea of some sort of "C library" that can do CNNs?









    share







    New contributor




    Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      0












      0








      0





      $begingroup$


      Let's say that I already trained my CNN. Is there anyway of my ouput to be represented as a formula just like a perceptron can (x1w1 + x2w2 + ... = PREDICTION).



      It does not matter if the formula is more complicated than the perceptron one, but in general would it be possible to train a CNN in Python or Matlab, get the weights and create an arithmetic, exponential, whatever formula made with those acquired weights?



      With that, after training, I would be able to apply my new values to this formula and get a desired output/prediciton values.



      I want to do this because I am trying classify in a PIC32 (a low cost microchip) which I think that does not have the capacity to perform a CNN within itself.



      Or, for example, should I pursue the idea of some sort of "C library" that can do CNNs?









      share







      New contributor




      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      Let's say that I already trained my CNN. Is there anyway of my ouput to be represented as a formula just like a perceptron can (x1w1 + x2w2 + ... = PREDICTION).



      It does not matter if the formula is more complicated than the perceptron one, but in general would it be possible to train a CNN in Python or Matlab, get the weights and create an arithmetic, exponential, whatever formula made with those acquired weights?



      With that, after training, I would be able to apply my new values to this formula and get a desired output/prediciton values.



      I want to do this because I am trying classify in a PIC32 (a low cost microchip) which I think that does not have the capacity to perform a CNN within itself.



      Or, for example, should I pursue the idea of some sort of "C library" that can do CNNs?







      python neural-network c





      share







      New contributor




      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share







      New contributor




      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share



      share






      New contributor




      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 7 mins ago









      Fabio SoaresFabio Soares

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      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      New contributor





      Fabio Soares is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






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