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What's the difference between feature importance from Random Forest and Pearson correlation coefficient



2019 Community Moderator ElectionFeature importance for random forest classification of a samplePredict buying behavior under the condition that a customer is advertised or notRandom Forest variable Importance Z Scorefeature importance via random forest and linear regression are differentFeature importance with scikit-learn Random Forest shows very high Standard DeviationSklearn Random Forest Prediction Correlation IssueVariable Importance Random Forest on RInterpretation of variable or feature importance in Random ForestWEKA Random Forest J48 Attribute ImportanceGet insights from Random forest::Variable Importance analysis










3












$begingroup$


I have following business domain. I have a product with three outputs/labels. The outputs are impacted by 1000 procedures, each procedure is digitized and measured. The customer wants to know what is the most influential procedures on the outputs.



1.
From Pearson correlation coefficient we could learn how two variables' relationship, say 1 is proportional, -1 is negative proportional and 0 is no relation. So I could find the biggest value of Pearson correlation coefficient to find more influential procedures.



2.
From Random Forest algorithm, I could know the top feature importance. So I could identify also the most influential procedures.



Which one is better?










share|improve this question







New contributor




user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    3












    $begingroup$


    I have following business domain. I have a product with three outputs/labels. The outputs are impacted by 1000 procedures, each procedure is digitized and measured. The customer wants to know what is the most influential procedures on the outputs.



    1.
    From Pearson correlation coefficient we could learn how two variables' relationship, say 1 is proportional, -1 is negative proportional and 0 is no relation. So I could find the biggest value of Pearson correlation coefficient to find more influential procedures.



    2.
    From Random Forest algorithm, I could know the top feature importance. So I could identify also the most influential procedures.



    Which one is better?










    share|improve this question







    New contributor




    user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      3












      3








      3


      1



      $begingroup$


      I have following business domain. I have a product with three outputs/labels. The outputs are impacted by 1000 procedures, each procedure is digitized and measured. The customer wants to know what is the most influential procedures on the outputs.



      1.
      From Pearson correlation coefficient we could learn how two variables' relationship, say 1 is proportional, -1 is negative proportional and 0 is no relation. So I could find the biggest value of Pearson correlation coefficient to find more influential procedures.



      2.
      From Random Forest algorithm, I could know the top feature importance. So I could identify also the most influential procedures.



      Which one is better?










      share|improve this question







      New contributor




      user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I have following business domain. I have a product with three outputs/labels. The outputs are impacted by 1000 procedures, each procedure is digitized and measured. The customer wants to know what is the most influential procedures on the outputs.



      1.
      From Pearson correlation coefficient we could learn how two variables' relationship, say 1 is proportional, -1 is negative proportional and 0 is no relation. So I could find the biggest value of Pearson correlation coefficient to find more influential procedures.



      2.
      From Random Forest algorithm, I could know the top feature importance. So I could identify also the most influential procedures.



      Which one is better?







      random-forest






      share|improve this question







      New contributor




      user84592 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




      user84592 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




      share|improve this question






      New contributor




      user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked Mar 21 at 6:21









      user84592user84592

      1183




      1183




      New contributor




      user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      user84592 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          2 Answers
          2






          active

          oldest

          votes


















          2












          $begingroup$

          Pearson correlations capture linear relationships between the input and target variables. Therefore this only makes sense for continuous inputs and a continuous target variable, and not continuous inputs with a binary/categorical output. Correlations essentially measure the positive/negative 'change' in one feature as you increase/decrease the other.



          So it doesn't make much sense to compare the relationship between your input features and the categorical outputs this way. You may as well calculate the mean input for each feature and each label, and calculate the differences between those. I found this answer on Cross-Validated which explains this much better than I can.



          Feature importance in tree based models is more likely to actually identify which features are most influential when differentiating your classes, provided that the model performs well. How this feature importance is calculated depends on the implementation, this article gives a good overview of how different tree based models calculate importance for features.






          share|improve this answer











          $endgroup$








          • 1




            $begingroup$
            This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
            $endgroup$
            – Esmailian
            Mar 21 at 14:43






          • 1




            $begingroup$
            Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
            $endgroup$
            – Dan Carter
            Mar 21 at 15:12


















          0












          $begingroup$

          I would say it depends a bit on what you want to achieve.



          A few things to keep in mind:



          Pearson gives you a correlation but what is if the information is in the absolute value- a RF has a much better chance to recognize this.
          Example data where there is some clear correlation but in the absolute value:



          a = [1,1,1,0,0,0, -1,-1,-1]
          b = [abs(x) for x in a]


          On the other hand RF importance is only relevant when the prediction is good - whatever good means for you. Pearson R has a very specific meaning that is always true- there is a correlation between the two variables.






          share|improve this answer









          $endgroup$












            Your Answer





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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            Pearson correlations capture linear relationships between the input and target variables. Therefore this only makes sense for continuous inputs and a continuous target variable, and not continuous inputs with a binary/categorical output. Correlations essentially measure the positive/negative 'change' in one feature as you increase/decrease the other.



            So it doesn't make much sense to compare the relationship between your input features and the categorical outputs this way. You may as well calculate the mean input for each feature and each label, and calculate the differences between those. I found this answer on Cross-Validated which explains this much better than I can.



            Feature importance in tree based models is more likely to actually identify which features are most influential when differentiating your classes, provided that the model performs well. How this feature importance is calculated depends on the implementation, this article gives a good overview of how different tree based models calculate importance for features.






            share|improve this answer











            $endgroup$








            • 1




              $begingroup$
              This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
              $endgroup$
              – Esmailian
              Mar 21 at 14:43






            • 1




              $begingroup$
              Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
              $endgroup$
              – Dan Carter
              Mar 21 at 15:12















            2












            $begingroup$

            Pearson correlations capture linear relationships between the input and target variables. Therefore this only makes sense for continuous inputs and a continuous target variable, and not continuous inputs with a binary/categorical output. Correlations essentially measure the positive/negative 'change' in one feature as you increase/decrease the other.



            So it doesn't make much sense to compare the relationship between your input features and the categorical outputs this way. You may as well calculate the mean input for each feature and each label, and calculate the differences between those. I found this answer on Cross-Validated which explains this much better than I can.



            Feature importance in tree based models is more likely to actually identify which features are most influential when differentiating your classes, provided that the model performs well. How this feature importance is calculated depends on the implementation, this article gives a good overview of how different tree based models calculate importance for features.






            share|improve this answer











            $endgroup$








            • 1




              $begingroup$
              This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
              $endgroup$
              – Esmailian
              Mar 21 at 14:43






            • 1




              $begingroup$
              Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
              $endgroup$
              – Dan Carter
              Mar 21 at 15:12













            2












            2








            2





            $begingroup$

            Pearson correlations capture linear relationships between the input and target variables. Therefore this only makes sense for continuous inputs and a continuous target variable, and not continuous inputs with a binary/categorical output. Correlations essentially measure the positive/negative 'change' in one feature as you increase/decrease the other.



            So it doesn't make much sense to compare the relationship between your input features and the categorical outputs this way. You may as well calculate the mean input for each feature and each label, and calculate the differences between those. I found this answer on Cross-Validated which explains this much better than I can.



            Feature importance in tree based models is more likely to actually identify which features are most influential when differentiating your classes, provided that the model performs well. How this feature importance is calculated depends on the implementation, this article gives a good overview of how different tree based models calculate importance for features.






            share|improve this answer











            $endgroup$



            Pearson correlations capture linear relationships between the input and target variables. Therefore this only makes sense for continuous inputs and a continuous target variable, and not continuous inputs with a binary/categorical output. Correlations essentially measure the positive/negative 'change' in one feature as you increase/decrease the other.



            So it doesn't make much sense to compare the relationship between your input features and the categorical outputs this way. You may as well calculate the mean input for each feature and each label, and calculate the differences between those. I found this answer on Cross-Validated which explains this much better than I can.



            Feature importance in tree based models is more likely to actually identify which features are most influential when differentiating your classes, provided that the model performs well. How this feature importance is calculated depends on the implementation, this article gives a good overview of how different tree based models calculate importance for features.







            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited Mar 21 at 15:47

























            answered Mar 21 at 14:16









            Dan CarterDan Carter

            7751218




            7751218







            • 1




              $begingroup$
              This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
              $endgroup$
              – Esmailian
              Mar 21 at 14:43






            • 1




              $begingroup$
              Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
              $endgroup$
              – Dan Carter
              Mar 21 at 15:12












            • 1




              $begingroup$
              This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
              $endgroup$
              – Esmailian
              Mar 21 at 14:43






            • 1




              $begingroup$
              Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
              $endgroup$
              – Dan Carter
              Mar 21 at 15:12







            1




            1




            $begingroup$
            This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
            $endgroup$
            – Esmailian
            Mar 21 at 14:43




            $begingroup$
            This beautiful picture is for continuous-continuous variables. Continuous-categorical (feature-label) case is different, since "linear" relation has no meaning.
            $endgroup$
            – Esmailian
            Mar 21 at 14:43




            1




            1




            $begingroup$
            Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
            $endgroup$
            – Dan Carter
            Mar 21 at 15:12




            $begingroup$
            Ah well noticed, I hadn't spotted this question was asking about categorical labels, I'll edit my answer :)
            $endgroup$
            – Dan Carter
            Mar 21 at 15:12











            0












            $begingroup$

            I would say it depends a bit on what you want to achieve.



            A few things to keep in mind:



            Pearson gives you a correlation but what is if the information is in the absolute value- a RF has a much better chance to recognize this.
            Example data where there is some clear correlation but in the absolute value:



            a = [1,1,1,0,0,0, -1,-1,-1]
            b = [abs(x) for x in a]


            On the other hand RF importance is only relevant when the prediction is good - whatever good means for you. Pearson R has a very specific meaning that is always true- there is a correlation between the two variables.






            share|improve this answer









            $endgroup$

















              0












              $begingroup$

              I would say it depends a bit on what you want to achieve.



              A few things to keep in mind:



              Pearson gives you a correlation but what is if the information is in the absolute value- a RF has a much better chance to recognize this.
              Example data where there is some clear correlation but in the absolute value:



              a = [1,1,1,0,0,0, -1,-1,-1]
              b = [abs(x) for x in a]


              On the other hand RF importance is only relevant when the prediction is good - whatever good means for you. Pearson R has a very specific meaning that is always true- there is a correlation between the two variables.






              share|improve this answer









              $endgroup$















                0












                0








                0





                $begingroup$

                I would say it depends a bit on what you want to achieve.



                A few things to keep in mind:



                Pearson gives you a correlation but what is if the information is in the absolute value- a RF has a much better chance to recognize this.
                Example data where there is some clear correlation but in the absolute value:



                a = [1,1,1,0,0,0, -1,-1,-1]
                b = [abs(x) for x in a]


                On the other hand RF importance is only relevant when the prediction is good - whatever good means for you. Pearson R has a very specific meaning that is always true- there is a correlation between the two variables.






                share|improve this answer









                $endgroup$



                I would say it depends a bit on what you want to achieve.



                A few things to keep in mind:



                Pearson gives you a correlation but what is if the information is in the absolute value- a RF has a much better chance to recognize this.
                Example data where there is some clear correlation but in the absolute value:



                a = [1,1,1,0,0,0, -1,-1,-1]
                b = [abs(x) for x in a]


                On the other hand RF importance is only relevant when the prediction is good - whatever good means for you. Pearson R has a very specific meaning that is always true- there is a correlation between the two variables.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Mar 21 at 11:11









                El BurroEl Burro

                455311




                455311




















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