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- $\begingroup$ but in backpropagation(neural network), also derivative equals to zero when expected output=target as in equation(non-linear sigmoid function): visualstudiomagazine.com/articles/2017/06/01/~/media/ECG/… Does this case also have single global minima? $\endgroup$AI_new2– AI_new22020-07-27 10:07:09 +00:00Commented Jul 27, 2020 at 10:07
- $\begingroup$ output=target for each term in the sum is not the only way that the sum can equal zero. $\endgroup$Itamar Mushkin– Itamar Mushkin2020-07-27 10:14:58 +00:00Commented Jul 27, 2020 at 10:14
- $\begingroup$ Suppose it a single example for training will lead to having single minima, so in stochastic gradient descent, there will be no local minima! $\endgroup$AI_new2– AI_new22020-07-27 10:42:36 +00:00Commented Jul 27, 2020 at 10:42
- $\begingroup$ A single example can't be used for training if there's more than one parameter in the model... $\endgroup$Itamar Mushkin– Itamar Mushkin2020-07-29 05:56:27 +00:00Commented Jul 29, 2020 at 5:56
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