Getting NaN values for PCE when using different methods such as OLS, etc

Hi, everyone.
I am facing issues with using PCE model on an existing dataset with 5 geotechnical inputs (5 random variables). When I try to use the OLS method, the result summary says:

Input to SVD must not contain NaN or Inf.

I tried looking into the input parameters but couldn’t find NaN values anywhere.

Further, when I use the LAR method the following warning appears on the screen:

Warning: Warning: numerical instability!! Gamma for LAR iteration 19 was set to 0 to prevent crashes. 
Warning: Warning: numerical instability!! Gamma for LAR iteration 35 was set to 0 to prevent crashes. 
Warning: Warning: numerical instability!! Gamma for LAR iteration 55 was set to 0 to prevent crashes. 
The estimation of PCE coefficients converged at polynomial degree 3 and qNorm 0.75 for output variable 1
Final LOO error estimate: 6.785325e-02

This is giving me a tough time. Other methods are also throwing similar error messages. Can someone please help me understand where I am going wrong…

Attached is the following:

  1. Basic code of the problem.
    UQlab_code_need_help.m (2.5 KB)

  2. Dataset : matrix X is named “100_samples.xlsx” and output Y is named “FOS_100.xlsx”
    100 datapoints.zip (16.3 KB)

  3. Validation set with 400 datapoints: Xval is named “400_samples.xlsx” and Yval is named “FOS_400.xlsx”
    400 val datapoints.zip (40.3 KB)

  4. Custom user defined Inversegaussian marginal distribution package (zip file).
    inversegaussian.zip (6.6 KB)

Any help or suggestion would be highly appreciated. Thank you.

Regards,
Waris

Dear @Abdul_Waris_Kenue

Thanks for the nice reproducer!

I noticed that the distribution type for “RV1” is missing. Based on the comment you left in the code, I assumed that it should be a gamma distribution. But then the given distribution does not match the data. Can you add this information?

Best regards
Styfen