How exactly dependent variable is expressed in terms of independent variables using Partial Least Square Regression Method? Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern) 2019 Moderator Election Q&A - Questionnaire 2019 Community Moderator Election ResultsCan we predict correlation between independent variables based on dependent variablesUsing Decision Tree methodology to identify Independent Variables for Multiple RegressionTransformation of independent variables in regression (Measurement Error)Tensor Decomposition in TensorFlow for multinomial time series dimensionality reductionLinear regression on probabilistic dataHow to choose variables for regressionRegression model for continuous dependent variable and count independent variablesRegression model performance with noisy dependent variableHow to handle missing data data in dependent variable?Test RMSE of polynomial regression drops when using more variables?

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How exactly dependent variable is expressed in terms of independent variables using Partial Least Square Regression Method?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)
2019 Moderator Election Q&A - Questionnaire
2019 Community Moderator Election ResultsCan we predict correlation between independent variables based on dependent variablesUsing Decision Tree methodology to identify Independent Variables for Multiple RegressionTransformation of independent variables in regression (Measurement Error)Tensor Decomposition in TensorFlow for multinomial time series dimensionality reductionLinear regression on probabilistic dataHow to choose variables for regressionRegression model for continuous dependent variable and count independent variablesRegression model performance with noisy dependent variableHow to handle missing data data in dependent variable?Test RMSE of polynomial regression drops when using more variables?










4












$begingroup$


I understand the working of NIPALS algorithm but while doing the regression using PLS how exactly the relation between known and unknown is established using Principle Component Analysis.
The idea is clear up to the points both dependent and independent are expressed in form of their principle components. After I am not able to understand.



PS: I have read text and some papers about it but they are very difficult to understand. This Question may sound a trivial one, but please bear with me. Correct me if I am wrong.










share|improve this question











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    4












    $begingroup$


    I understand the working of NIPALS algorithm but while doing the regression using PLS how exactly the relation between known and unknown is established using Principle Component Analysis.
    The idea is clear up to the points both dependent and independent are expressed in form of their principle components. After I am not able to understand.



    PS: I have read text and some papers about it but they are very difficult to understand. This Question may sound a trivial one, but please bear with me. Correct me if I am wrong.










    share|improve this question











    $endgroup$




    bumped to the homepage by Community 2 hours ago


    This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.

















      4












      4








      4


      1



      $begingroup$


      I understand the working of NIPALS algorithm but while doing the regression using PLS how exactly the relation between known and unknown is established using Principle Component Analysis.
      The idea is clear up to the points both dependent and independent are expressed in form of their principle components. After I am not able to understand.



      PS: I have read text and some papers about it but they are very difficult to understand. This Question may sound a trivial one, but please bear with me. Correct me if I am wrong.










      share|improve this question











      $endgroup$




      I understand the working of NIPALS algorithm but while doing the regression using PLS how exactly the relation between known and unknown is established using Principle Component Analysis.
      The idea is clear up to the points both dependent and independent are expressed in form of their principle components. After I am not able to understand.



      PS: I have read text and some papers about it but they are very difficult to understand. This Question may sound a trivial one, but please bear with me. Correct me if I am wrong.







      regression linear-regression dimensionality-reduction supervised-learning






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Mar 1 '16 at 7:35







      Shaleen Jain

















      asked Feb 8 '16 at 6:38









      Shaleen JainShaleen Jain

      1467




      1467





      bumped to the homepage by Community 2 hours ago


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      bumped to the homepage by Community 2 hours ago


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          1 Answer
          1






          active

          oldest

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          0












          $begingroup$

          This lecture helped me get my head around PCA: https://www.youtube.com/watch?v=a9jdQGybYmE



          The analogy that I am sharing with you comes directly from this lecture:



          Imagine that you have a weight that is on a spring. It can bounce up and down and thus is a one degree of freedom system. Imagine that you have three sensors which record the (x,y) position of the weight as it bounces up and down. Now you have six vectors of data (a set of x,y from each camera). PCA tries to infer the actual (x,y) coordinates of the weight as it bounces based only on the data that you get from the cameras.



          This analogy is very rough and I highly recommend that you watch the linked video. There is really no short answer to your question!






          share|improve this answer









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            0












            $begingroup$

            This lecture helped me get my head around PCA: https://www.youtube.com/watch?v=a9jdQGybYmE



            The analogy that I am sharing with you comes directly from this lecture:



            Imagine that you have a weight that is on a spring. It can bounce up and down and thus is a one degree of freedom system. Imagine that you have three sensors which record the (x,y) position of the weight as it bounces up and down. Now you have six vectors of data (a set of x,y from each camera). PCA tries to infer the actual (x,y) coordinates of the weight as it bounces based only on the data that you get from the cameras.



            This analogy is very rough and I highly recommend that you watch the linked video. There is really no short answer to your question!






            share|improve this answer









            $endgroup$

















              0












              $begingroup$

              This lecture helped me get my head around PCA: https://www.youtube.com/watch?v=a9jdQGybYmE



              The analogy that I am sharing with you comes directly from this lecture:



              Imagine that you have a weight that is on a spring. It can bounce up and down and thus is a one degree of freedom system. Imagine that you have three sensors which record the (x,y) position of the weight as it bounces up and down. Now you have six vectors of data (a set of x,y from each camera). PCA tries to infer the actual (x,y) coordinates of the weight as it bounces based only on the data that you get from the cameras.



              This analogy is very rough and I highly recommend that you watch the linked video. There is really no short answer to your question!






              share|improve this answer









              $endgroup$















                0












                0








                0





                $begingroup$

                This lecture helped me get my head around PCA: https://www.youtube.com/watch?v=a9jdQGybYmE



                The analogy that I am sharing with you comes directly from this lecture:



                Imagine that you have a weight that is on a spring. It can bounce up and down and thus is a one degree of freedom system. Imagine that you have three sensors which record the (x,y) position of the weight as it bounces up and down. Now you have six vectors of data (a set of x,y from each camera). PCA tries to infer the actual (x,y) coordinates of the weight as it bounces based only on the data that you get from the cameras.



                This analogy is very rough and I highly recommend that you watch the linked video. There is really no short answer to your question!






                share|improve this answer









                $endgroup$



                This lecture helped me get my head around PCA: https://www.youtube.com/watch?v=a9jdQGybYmE



                The analogy that I am sharing with you comes directly from this lecture:



                Imagine that you have a weight that is on a spring. It can bounce up and down and thus is a one degree of freedom system. Imagine that you have three sensors which record the (x,y) position of the weight as it bounces up and down. Now you have six vectors of data (a set of x,y from each camera). PCA tries to infer the actual (x,y) coordinates of the weight as it bounces based only on the data that you get from the cameras.



                This analogy is very rough and I highly recommend that you watch the linked video. There is really no short answer to your question!







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Oct 17 '18 at 13:34









                bstrainbstrain

                16616




                16616



























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