To review, open the file in an editor that reveals hidden Unicode characters. 0.7=1,0.3=0). Ideally we would like to compute the parameters so that the(0-1)loss is minimized. If we use the same formula then our plot will look like this:-, So, in order to avoid this, we have smoothened the curve with the help of log and our cost function will look like this:-, where m=number of examples or rows in the dataset, x=feature values of i example, y=actual outcome of i example. n = np.prod([x.size for x in arrays])\n". " I have used a **jupyter notebook **for this tutorial. \nabla_{\mathbf{w}_j}\ell(\mathbf{w}) =& \frac{\partial}{\partial \mathbf{w}_j}\left(\mathbf{w}_{i}^T\mathbf{x}_i - \log\left( \sum_{k'}^K \exp(\mathbf{w}_k^T\mathbf{x}) \right) \right) \\ # Initialize parameters to zero, for lack of a better choice. """ # Define the derivative of the likelihood with respect to beta_k. In the present application gradient based methods are used for minimization. For example, predicting if an email is legit or spammy. linear_model import LogisticRegression: from sklearn. Logistic_Regression_Python_Libraries.py This file contains self.cost corressponds to the negative_log_likelyhood method of LogisticRegression class, self.gradient corresponds to the gradients method of the LogisticRegression class. preprocessing import StandardScaler. fit ( X, y) Build Your First Text Classifier in Python with Logistic Regression . The decision boundary exists where $h_{\theta}(x) = 0$. 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89dVXXZaGent749VXX8WUKVNgb2+PjIwMTJ8+vUfXAQA7duxAWloarK2t8f777+Opp57q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\nTkSuQmCC\n", "".