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.










share|cite|improve this question











$endgroup$








  • 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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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






active

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







share|cite|improve this answer











$endgroup$













    Your Answer





    StackExchange.ifUsing("editor", function () {
    return StackExchange.using("mathjaxEditing", function () {
    StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
    StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
    });
    });
    }, "mathjax-editing");

    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "65"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: false,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: null,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f387029%2fwhat-is-the-name-for-this-classification-algorithm%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    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







    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






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Cross Validated!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            Use MathJax to format equations. MathJax reference.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f387029%2fwhat-is-the-name-for-this-classification-algorithm%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            How to change which sound is reproduced for terminal bell?

            Can I use Tabulator js library in my java Spring + Thymeleaf project?

            Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents