What is the name for this classification algorithm?












1















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



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

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

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






classification normal-distribution multivariate-analysis pdf algorithms







share|cite|improve this question























  • Two component Gaussian mixture model?

    – Bey
    25 mins ago
















1















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



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

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

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






classification normal-distribution multivariate-analysis pdf algorithms







share|cite|improve this question























  • Two component Gaussian mixture model?

    – Bey
    25 mins ago














1












1








1


1






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



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

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

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






classification normal-distribution multivariate-analysis pdf algorithms







share|cite|improve this question














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



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

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

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






classification normal-distribution multivariate-analysis pdf algorithms




classification normal-distribution multivariate-analysis pdf algorithms






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 4 hours ago









SoloNasusSoloNasus

1585




1585













  • Two component Gaussian mixture model?

    – Bey
    25 mins ago



















  • Two component Gaussian mixture model?

    – Bey
    25 mins ago

















Two component Gaussian mixture model?

– Bey
25 mins ago





Two component Gaussian mixture model?

– Bey
25 mins ago










1 Answer
1






active

oldest

votes


















2














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

























    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









    2














    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






























      2














      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




























        2












        2








        2







        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















        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 3 hours ago

























        answered 3 hours ago









        Karolis KoncevičiusKarolis Koncevičius

        1,74921425




        1,74921425






























            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 make a Squid Proxy server?

            Image
            1 I want to set up squid proxy server for monitoring user activity in a network and Internet Web URL filtering for user. I also want to configure the user login, user log, user access group, and block unwanted web sites in my network. Please help me and guide me the full process to do this. server proxy squid share | improve this question edited Jul 31 '12 at 14:45 Jorge Castro 37.1k 107 422 617 asked Jul 31 '12 at 5:16 Goivind Tiwari Goivind Tiwari ...
            Read more

            Is this a new Fibonacci Identity?

            Image
            6 1 $begingroup$ I have found the following Fibonacci Identity (and proved it). If $F_n$ denotes the nth Fibonacci Number, we have the following identity begin{equation} F_{n-r+h}F_{n+k+g+1} - F_{n-r+g}F_{n+k+h+1} = (-1)^{n+r+h+1} F_{g-h}F_{k+r+1} end{equation} where $F_1 = F_2 = 1$ , $r leq n$ , $h leq g$ , and $n, g, k in mathbb{N}$ . It is not too hard to show that this identity subsumes Cassini's Identity, Catalan's Identity, Vajda's Idenity, and d'Ocagne's identity to name a few. I have done a pretty thorough literature review, and I have not found anything like this, but I am still wondering if anyone has seen this identity before? I found this by accident after noticing some patterns in some analysis work I was doing, so if this is already known I would be curious to see w...
            Read more

            19世紀

            Image
            この記事は検証可能な参考文献や出典が全く示されていないか、不十分です。 出典を追加して記事の信頼性向上にご協力ください。 （ 2012年3月 ） 千年紀: 2千年紀 世紀: 18世紀 - 19世紀 - 20世紀 十年紀: 1800年代 1810年代 1820年代 1830年代 1840年代 1850年代 1860年代 1870年代 1880年代 1890年代 19世紀に君臨した大英帝国。 19世紀 （じゅうきゅうせいき）は、西暦1801年から西暦1900年までの100年間を指す世紀。 目次 1 19世紀の歴史 1.1 国民国家の成立 1.2 帝国主義の興隆 1.3 列強の植民地争奪戦 2 できごと 2.1 1800年代 2.2 1810年代 2.3 1820年代 2.4 1830年代 2.5 1840年代 2.6 1850年代 2.7 1860年代 2.8 1870年代 2.9 1880年代 2.10 1890年代 2.11 1900年代 3 文化 3.1 文学 3.2 音楽 3.3 思想 3.4 科学 3.5 技術 4 人物 4.1 ヨーロッパ 4.1.1 政治家・王族 4.1.1.1 フランス 4.1.1.2 オーストリア＝ハンガリー 4.1.1.3 ロシア 4.1.1.4 イギリス 4.1.1.5 ドイツ（プロイセンほかドイツ領邦を含む） 4.1.1.6 北欧 4.1.1.7 イタリア 4.1.1.8 スペイン 4.1.1.9 ベルギー 4.1.1.10 ギリシア 4.1.2 軍人 4.1.3 実業家 4.1.4 科学と技術 4.1.5 思想と哲学・人文諸学 4.1.6 宗教 4.1.7 文学 4.1.8 美術 4.1.9 音楽 4.1.10 社会事業家 4.1.11 探検家・旅行家 4.1.12 料...
            Read more