What is the name for this classification algorithm?












2












$begingroup$


Can you help me find the name of this classification method:



Assume we have the following data: $n$ dimensional feature vectors we want to classify in two classes.




  1. We model the classes as two $n$ dimensional gaussian distributions estimated from the data.

  2. We classify a new vector to the class that maximizes the PDF (probbility density function) at that point.










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  • 1




    $begingroup$
    Two component Gaussian mixture model?
    $endgroup$
    – Bey
    Jan 14 at 3:44
















2












$begingroup$


Can you help me find the name of this classification method:



Assume we have the following data: $n$ dimensional feature vectors we want to classify in two classes.




  1. We model the classes as two $n$ dimensional gaussian distributions estimated from the data.

  2. We classify a new vector to the class that maximizes the PDF (probbility density function) at that point.










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Two component Gaussian mixture model?
    $endgroup$
    – Bey
    Jan 14 at 3:44














2












2








2


1



$begingroup$


Can you help me find the name of this classification method:



Assume we have the following data: $n$ dimensional feature vectors we want to classify in two classes.




  1. We model the classes as two $n$ dimensional gaussian distributions estimated from the data.

  2. We classify a new vector to the class that maximizes the PDF (probbility density function) at that point.










share|cite|improve this question











$endgroup$




Can you help me find the name of this classification method:



Assume we have the following data: $n$ dimensional feature vectors we want to classify in two classes.




  1. We model the classes as two $n$ dimensional gaussian distributions estimated from the data.

  2. We classify a new vector to the class that maximizes the PDF (probbility density function) at that point.







classification normal-distribution multivariate-analysis pdf






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edited Jan 15 at 1:21









Karolis Koncevičius

2,02321426




2,02321426










asked Jan 14 at 0:04









SoloNasusSoloNasus

1655




1655








  • 1




    $begingroup$
    Two component Gaussian mixture model?
    $endgroup$
    – Bey
    Jan 14 at 3:44














  • 1




    $begingroup$
    Two component Gaussian mixture model?
    $endgroup$
    – Bey
    Jan 14 at 3:44








1




1




$begingroup$
Two component Gaussian mixture model?
$endgroup$
– Bey
Jan 14 at 3:44




$begingroup$
Two component Gaussian mixture model?
$endgroup$
– Bey
Jan 14 at 3:44










1 Answer
1






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oldest

votes


















7












$begingroup$

Probably Quadratic Discriminant Analysis.



There are also names for different constraints you could make:




  1. Covariance matrices of both classes are equal - Linear Discriminant Analysis.


  2. Only diagonal elements of the covariance matrix are non-zero - Naive Bayes Classifier


  3. Covariance matrix is identity (diagonals = 1, non-diagonals = 0) - Nearest Centroid Classifier







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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

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    7












    $begingroup$

    Probably Quadratic Discriminant Analysis.



    There are also names for different constraints you could make:




    1. Covariance matrices of both classes are equal - Linear Discriminant Analysis.


    2. Only diagonal elements of the covariance matrix are non-zero - Naive Bayes Classifier


    3. Covariance matrix is identity (diagonals = 1, non-diagonals = 0) - Nearest Centroid Classifier







    share|cite|improve this answer











    $endgroup$


















      7












      $begingroup$

      Probably Quadratic Discriminant Analysis.



      There are also names for different constraints you could make:




      1. Covariance matrices of both classes are equal - Linear Discriminant Analysis.


      2. Only diagonal elements of the covariance matrix are non-zero - Naive Bayes Classifier


      3. Covariance matrix is identity (diagonals = 1, non-diagonals = 0) - Nearest Centroid Classifier







      share|cite|improve this answer











      $endgroup$
















        7












        7








        7





        $begingroup$

        Probably Quadratic Discriminant Analysis.



        There are also names for different constraints you could make:




        1. Covariance matrices of both classes are equal - Linear Discriminant Analysis.


        2. Only diagonal elements of the covariance matrix are non-zero - Naive Bayes Classifier


        3. Covariance matrix is identity (diagonals = 1, non-diagonals = 0) - Nearest Centroid Classifier







        share|cite|improve this answer











        $endgroup$



        Probably Quadratic Discriminant Analysis.



        There are also names for different constraints you could make:




        1. Covariance matrices of both classes are equal - Linear Discriminant Analysis.


        2. Only diagonal elements of the covariance matrix are non-zero - Naive Bayes Classifier


        3. Covariance matrix is identity (diagonals = 1, non-diagonals = 0) - Nearest Centroid Classifier








        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Jan 14 at 0:43

























        answered Jan 14 at 0:38









        Karolis KoncevičiusKarolis Koncevičius

        2,02321426




        2,02321426






























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