cost/loss function being a multi-well function in neural networks












0












$begingroup$


In a 0 or 1 binary classification problem using neural networks, given the activation function is taken as sigmoid, if one takes the cost/loss function as sum of square of differences, the loss function should be a multi-well function, since each of 0 and 1 tags contributes to a 'potential well'/loss function local minimum. But are the local minima all global minima? If not, how to initialize weights to not get them trapped in a local minimum in gradient descent computation?









share









$endgroup$

















    0












    $begingroup$


    In a 0 or 1 binary classification problem using neural networks, given the activation function is taken as sigmoid, if one takes the cost/loss function as sum of square of differences, the loss function should be a multi-well function, since each of 0 and 1 tags contributes to a 'potential well'/loss function local minimum. But are the local minima all global minima? If not, how to initialize weights to not get them trapped in a local minimum in gradient descent computation?









    share









    $endgroup$















      0












      0








      0





      $begingroup$


      In a 0 or 1 binary classification problem using neural networks, given the activation function is taken as sigmoid, if one takes the cost/loss function as sum of square of differences, the loss function should be a multi-well function, since each of 0 and 1 tags contributes to a 'potential well'/loss function local minimum. But are the local minima all global minima? If not, how to initialize weights to not get them trapped in a local minimum in gradient descent computation?









      share









      $endgroup$




      In a 0 or 1 binary classification problem using neural networks, given the activation function is taken as sigmoid, if one takes the cost/loss function as sum of square of differences, the loss function should be a multi-well function, since each of 0 and 1 tags contributes to a 'potential well'/loss function local minimum. But are the local minima all global minima? If not, how to initialize weights to not get them trapped in a local minimum in gradient descent computation?







      neural-network loss-function cost-function weight-initialization





      share












      share










      share



      share










      asked 2 mins ago









      feynmanfeynman

      1578




      1578






















          0






          active

          oldest

          votes











          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%2f45790%2fcost-loss-function-being-a-multi-well-function-in-neural-networks%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          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%2f45790%2fcost-loss-function-being-a-multi-well-function-in-neural-networks%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

          Ponta tanko

          Tantalo (mitologio)

          Erzsébet Schaár