How to turn linear regression into logistical regression












1












$begingroup$


I followed these articles to implement logistic regression.



I'm confused however because after training the model and getting the weights for my variables I don't now how to use the one-hot vector to turn this into confidence scores for the different classes.



I've got the formula: y' = x1W1 + x2W2 + x3W3 + b



I've got values for all Ws and b.



I've got my one-hot vector: [[1, 0, 0], [0, 1, 0], [0, 0, 1]]



How do I combine all this into confidence for each class?










share|improve this question









$endgroup$

















    1












    $begingroup$


    I followed these articles to implement logistic regression.



    I'm confused however because after training the model and getting the weights for my variables I don't now how to use the one-hot vector to turn this into confidence scores for the different classes.



    I've got the formula: y' = x1W1 + x2W2 + x3W3 + b



    I've got values for all Ws and b.



    I've got my one-hot vector: [[1, 0, 0], [0, 1, 0], [0, 0, 1]]



    How do I combine all this into confidence for each class?










    share|improve this question









    $endgroup$















      1












      1








      1





      $begingroup$


      I followed these articles to implement logistic regression.



      I'm confused however because after training the model and getting the weights for my variables I don't now how to use the one-hot vector to turn this into confidence scores for the different classes.



      I've got the formula: y' = x1W1 + x2W2 + x3W3 + b



      I've got values for all Ws and b.



      I've got my one-hot vector: [[1, 0, 0], [0, 1, 0], [0, 0, 1]]



      How do I combine all this into confidence for each class?










      share|improve this question









      $endgroup$




      I followed these articles to implement logistic regression.



      I'm confused however because after training the model and getting the weights for my variables I don't now how to use the one-hot vector to turn this into confidence scores for the different classes.



      I've got the formula: y' = x1W1 + x2W2 + x3W3 + b



      I've got values for all Ws and b.



      I've got my one-hot vector: [[1, 0, 0], [0, 1, 0], [0, 0, 1]]



      How do I combine all this into confidence for each class?







      machine-learning tensorflow logistic-regression






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 14 hours ago









      A.WhiteA.White

      205




      205






















          1 Answer
          1






          active

          oldest

          votes


















          2












          $begingroup$

          You should use softmax to convert your output in probabilities. For only two classes, you have the formula $P(x in class 1) = frac{exp(y_{text{class1}})}{exp(y_{text{class1}}) + exp(y_{text{class2}})}$. It mentioned in your article.






          share|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: "557"
            };
            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%2fdatascience.stackexchange.com%2fquestions%2f45377%2fhow-to-turn-linear-regression-into-logistical-regression%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












            $begingroup$

            You should use softmax to convert your output in probabilities. For only two classes, you have the formula $P(x in class 1) = frac{exp(y_{text{class1}})}{exp(y_{text{class1}}) + exp(y_{text{class2}})}$. It mentioned in your article.






            share|improve this answer









            $endgroup$


















              2












              $begingroup$

              You should use softmax to convert your output in probabilities. For only two classes, you have the formula $P(x in class 1) = frac{exp(y_{text{class1}})}{exp(y_{text{class1}}) + exp(y_{text{class2}})}$. It mentioned in your article.






              share|improve this answer









              $endgroup$
















                2












                2








                2





                $begingroup$

                You should use softmax to convert your output in probabilities. For only two classes, you have the formula $P(x in class 1) = frac{exp(y_{text{class1}})}{exp(y_{text{class1}}) + exp(y_{text{class2}})}$. It mentioned in your article.






                share|improve this answer









                $endgroup$



                You should use softmax to convert your output in probabilities. For only two classes, you have the formula $P(x in class 1) = frac{exp(y_{text{class1}})}{exp(y_{text{class1}}) + exp(y_{text{class2}})}$. It mentioned in your article.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 11 hours ago









                Robin NicoleRobin Nicole

                3016




                3016






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Data Science Stack Exchange!


                    • 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%2fdatascience.stackexchange.com%2fquestions%2f45377%2fhow-to-turn-linear-regression-into-logistical-regression%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 label and detect the document text images

                    Vallis Paradisi

                    Tabula Rosettana