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Leave-one-out error strictly decreasing when number of parameters is increased, when it should not be?


Loss function for classifying when more than one output can be 1 at a timeHow to think about prediction error that is not convex in hyperparameter, or over the course of trainingWhen should one use L1, L2 regularization instead of dropout layer, given that both serve same purpose of reducing overfitting?Implemented early stopping but came across the error SGDClassifier: Not fitted error in sklearnIn generative adversarial models (GANs), why should we solve min-max problem and not max-min?Model loss and validation loss not decreasing? How to speed?Why increasing the number of units or layers does not increase the accuracy and decrease the loss?













0












$begingroup$


People may or may not be able to help intuitively shed light on my problem. Maybe I haven't considered some aspects. I'm running a (kernel) regularized least squares estimation on some binary training data to then predict probabilistic values for the non-training data.



I have 9 variables in the original model, which I know should find the best predictions. I know this should be the right selection as I'm following a widely-cited scientific paper which justifies those 9 variables and no others.



However, when I add variables to the model, leave-one-out error, RMSE, MAE always all decrease. The pseudo R-squared always increases. This just shouldn't be happening, as far as I'm aware, as that implies that these models with more variables would explain the left-out data point data more accurately, and, therefore, the out-of-sample data too. Does anyone know any reason this might be happening?










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    0












    $begingroup$


    People may or may not be able to help intuitively shed light on my problem. Maybe I haven't considered some aspects. I'm running a (kernel) regularized least squares estimation on some binary training data to then predict probabilistic values for the non-training data.



    I have 9 variables in the original model, which I know should find the best predictions. I know this should be the right selection as I'm following a widely-cited scientific paper which justifies those 9 variables and no others.



    However, when I add variables to the model, leave-one-out error, RMSE, MAE always all decrease. The pseudo R-squared always increases. This just shouldn't be happening, as far as I'm aware, as that implies that these models with more variables would explain the left-out data point data more accurately, and, therefore, the out-of-sample data too. Does anyone know any reason this might be happening?










    share|improve this question







    New contributor




    user15881 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





      $begingroup$


      People may or may not be able to help intuitively shed light on my problem. Maybe I haven't considered some aspects. I'm running a (kernel) regularized least squares estimation on some binary training data to then predict probabilistic values for the non-training data.



      I have 9 variables in the original model, which I know should find the best predictions. I know this should be the right selection as I'm following a widely-cited scientific paper which justifies those 9 variables and no others.



      However, when I add variables to the model, leave-one-out error, RMSE, MAE always all decrease. The pseudo R-squared always increases. This just shouldn't be happening, as far as I'm aware, as that implies that these models with more variables would explain the left-out data point data more accurately, and, therefore, the out-of-sample data too. Does anyone know any reason this might be happening?










      share|improve this question







      New contributor




      user15881 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      People may or may not be able to help intuitively shed light on my problem. Maybe I haven't considered some aspects. I'm running a (kernel) regularized least squares estimation on some binary training data to then predict probabilistic values for the non-training data.



      I have 9 variables in the original model, which I know should find the best predictions. I know this should be the right selection as I'm following a widely-cited scientific paper which justifies those 9 variables and no others.



      However, when I add variables to the model, leave-one-out error, RMSE, MAE always all decrease. The pseudo R-squared always increases. This just shouldn't be happening, as far as I'm aware, as that implies that these models with more variables would explain the left-out data point data more accurately, and, therefore, the out-of-sample data too. Does anyone know any reason this might be happening?







      prediction loss-function regularization error-handling






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      user15881 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      user15881 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      asked 13 mins ago









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      user15881 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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