Relation between input data points and hyper parameters that needs to be tuned

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diyasingh - 2021-07-02T09:23:05+00:00
Question: Relation between input data points and hyper parameters that needs to be tuned

Hi All,   Can anyone please let me know the relationship between the number of input data points and the hyperparameters/number of layers that needs to be present in any machine learning model?

Expert Answer

Profile picture of Kshitij Singh Kshitij Singh answered . 2025-11-20

 [ I N]  = size(input)
 [ O N ] = size(target)

 % (MATLAB DEFAULT)
   Ntst    = round(0.15*N)
   Nval    = Ntst
   Ntrn    = N-(Ntst+Nval)%  ~ 0.7*N

 % Design parameters 
   Ndes = Ntrn*O           % No. of design equations ~ 0.7*N*O
   H                       % No. of hidden nodes for I-H-O net
   Nw   = (I+1)*H+(H+1)*O  % No. of unknown weights

 Require  Ndes >= Nw   ==> H <= Hub = (Ntrn*O-O)/(I+O+1)
 Desire   Ndes >> Nw   ==> H << Hub
My typical goal: Minimize H subject to the requirement
 
 
         MSE < = 0.01*var(target',1)   % Rsquare >= 0.99

My approach:

 1. Apply the requirement to the training data
 2. Loop over H to find the minimum H to satisfy the 
    requirement.
I have hundreds of examples in the NEWSGROUP comp.soft-sys.matlab as well as ANSWERS.


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