diff --git a/exercise.ipynb b/exercise.ipynb index 964c8e6..c63d797 100644 --- a/exercise.ipynb +++ b/exercise.ipynb @@ -78,16 +78,16 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 2, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, @@ -154,7 +154,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 58, "metadata": {}, "outputs": [], "source": [ @@ -256,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 59, "metadata": {}, "outputs": [], "source": [ @@ -296,7 +296,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -335,16 +335,16 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 11, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, @@ -387,7 +387,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 62, "metadata": { "pycharm": { "name": "#%%\n" @@ -397,10 +397,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 12, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, @@ -479,7 +479,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 63, "metadata": { "pycharm": { "name": "#%%\n" @@ -489,10 +489,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 13, + "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, @@ -536,7 +536,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 64, "metadata": { "pycharm": { "name": "#%%\n" @@ -592,7 +592,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 65, "metadata": { "pycharm": { "name": "#%%\n" @@ -763,7 +763,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 66, "metadata": { "pycharm": { "name": "#%%\n" @@ -801,7 +801,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 67, "metadata": { "pycharm": { "name": "#%%\n" @@ -809,11 +809,10 @@ }, "outputs": [ { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 8)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m8\u001b[0m\n\u001b[0;31m p_c1 = # TODO\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 0.83\n" ] } ], @@ -825,7 +824,7 @@ "# Prior obtained by \"counting\" samples in each class\n", "p_c0 = c0_samples.shape[0] / samples.shape[0]\n", "# LEAVE AS EXERCISE\n", - "p_c1 = # TODO \n", + "p_c1 = c1_samples.shape[0] / samples.shape[0]\n", "\n", "def compute_posterior(\n", " samples: np.ndarray,\n", @@ -847,8 +846,11 @@ " # TODO: compute class likelihoods \n", " # TODO: compute normalization using marginalization\n", " # TODO: compute class posterior using Bayes rule\n", - " p_c0_given_x = \n", - " p_c1_given_x =\n", + " p_x_c0 = mvn_pdf(samples, mu_c0, sigma_c0)\n", + " p_x_c1 = mvn_pdf(samples, mu_c1, sigma_c1)\n", + " p_x = 1 / samples.shape[0]\n", + " p_c0_given_x = (p_x_c0*p_c0)/p_x\n", + " p_c1_given_x = (p_x_c1*p_c1)/p_x\n", " return p_c0_given_x, p_c1_given_x\n", "\n", "\n", @@ -873,13 +875,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 68, "metadata": { "pycharm": { "name": "#%%\n" } }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Naive Bayes\")\n", "plt.scatter(x=samples[labels == 0, 0], y=samples[labels == 0, 1], c=\"blue\")\n", @@ -898,13 +923,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 69, "metadata": { "pycharm": { "name": "#%%\n" } }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(-1.5, 2.5)" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "p_c0_given_x, p_c1_given_x = compute_posterior(flat_plt_grid, p_c0, mu_c0, sigma_c0, p_c1, mu_c1, sigma_c1)\n", "p_c0_given_x = np.reshape(p_c0_given_x, plt_grid_shape)\n", @@ -954,7 +1002,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "\n" + "data is independent and identically distributed\n" ] }, { @@ -970,7 +1018,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "metadata": {}, "outputs": [], "source": [ @@ -1027,7 +1075,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 71, "metadata": {}, "outputs": [], "source": [ @@ -1065,7 +1113,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 72, "metadata": { "pycharm": { "name": "#%%\n" @@ -1124,13 +1172,63 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 73, "metadata": { "pycharm": { "name": "#%%\n" } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final loss 0.6931471805579453\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":31: UserWarning: No contour levels were found within the data range.\n", + " plt.contour(plt_grid[..., 0], plt_grid[..., 1], pred_grid, levels=[0, 0.5], colors=[\"k\"])\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Generate Features from Data\n", "\n",