diff --git a/naive_bayes.ipynb b/naive_bayes.ipynb index e314db3..4a67598 100644 --- a/naive_bayes.ipynb +++ b/naive_bayes.ipynb @@ -114,12 +114,14 @@ " '''\n", " mean = self.mean[class_idx]\n", " var = self.var[class_idx]\n", - " numerator = np.exp((-1/2)*((x-mean)**2) / (2 * var))\n", - " denominator = np.sqrt(2 * np.pi * var)\n", + " \n", + " numerator = np.exp((-1/2)*((x-mean)**2) / (2 * var)) # Licznik wzoru na gęstość rozkładu normalnego \n", + " denominator = np.sqrt(2 * np.pi * var) # Mianownik wzoru na gęstość rozkładu normalnego \n", " prob = numerator / denominator\n", + " \n", " return prob\n", " \n", - " def calc_posterior(self, x):\n", + " def classify(self, x):\n", " '''\n", " Wyliczenie prawdopodobieństwa a posteriori i zwrócenie klasy, dla której prawdopodobieństwo jest najwyższe\n", " '''\n", @@ -159,7 +161,7 @@ " '''\n", " Predykcja wartości dla każdego wiersza\n", " '''\n", - " preds = [self.calc_posterior(f) for f in features.to_numpy()]\n", + " preds = [self.classify(f) for f in features.to_numpy()]\n", " return preds\n", "\n", " def accuracy(self, y_test, y_pred):\n", @@ -179,16 +181,13 @@ " \n", " fig, ax = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(15,6))\n", " \n", - " sns.countplot(x=target, data=tr, ax=ax[0], palette='viridis', alpha=0.7, hue=target, dodge=False)\n", - " sns.countplot(x=target, data=pr, ax=ax[1], palette='viridis', alpha=0.7, hue=target, dodge=False)\n", + " sns.countplot(x=target, data=tr, ax=ax[0], alpha=0.7, hue=target, dodge=False)\n", + " sns.countplot(x=target, data=pr, ax=ax[1], alpha=0.7, hue=target, dodge=False)\n", " \n", - "\n", - " fig.suptitle('True vs Predicted Comparison', fontsize=20)\n", - "\n", " ax[0].tick_params(labelsize=12)\n", " ax[1].tick_params(labelsize=12)\n", " ax[0].set_title(\"Prawdziwe wartości\", fontsize=18)\n", - " ax[1].set_title(\"Predyckje\", fontsize=18)\n", + " ax[1].set_title(\"Predykcje\", fontsize=18)\n", " plt.show()\n" ] }, @@ -585,7 +584,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ]