From ec6504eb45fb7ecb06d06a5a3eac769026f51cc4 Mon Sep 17 00:00:00 2001 From: Pascal Schindler Date: Fri, 26 Nov 2021 21:45:05 +0100 Subject: [PATCH] others nearly finished --- exercise.ipynb | 357 +++++++++++++++++++++++++++++++++++++++---------- 1 file changed, 286 insertions(+), 71 deletions(-) diff --git a/exercise.ipynb b/exercise.ipynb index 9abef10..4fd8e44 100644 --- a/exercise.ipynb +++ b/exercise.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 105, "metadata": {}, "outputs": [], "source": [ @@ -80,7 +80,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 106, "metadata": { "pycharm": { "name": "#%%\n" @@ -133,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 107, "metadata": { "pycharm": { "name": "#%%\n" @@ -168,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 108, "metadata": { "pycharm": { "name": "#%%\n" @@ -291,7 +291,25 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 109, + "outputs": [], + "source": [ + "def pred(weight: np.ndarray, samples: np.ndarray, number_loops: int):\n", + " denom = 0\n", + " for i in range(1, number_loops):\n", + " denom += np.exp(weight[:,i].dot(samples))\n", + " return denom\n" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 110, "metadata": { "pycharm": { "name": "#%%\n" @@ -310,19 +328,18 @@ " num_features = features.shape[-1]\n", " num_classes = labels.shape[-1]\n", " weights = np.reshape(flat_weights, [num_features, num_classes])\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + "\n", " N = features.shape[0]\n", " K = weights.shape[-1]\n", " predictions = np.zeros((N,K))\n", + "\n", " for i in range(1, N):\n", " sample = features[i,:]\n", - " K = weights[-1]\n", " for k in range (1, K):\n", " weights_k = weights[:,k]\n", - " predictions[i,k] = sample.dot(weights_k)\n", + " predictions[i,k] = softmax(sample.dot(weights_k))\n", " cross_entropy_loss = categorical_nll(predictions,labels).sum()\n", + " print(cross_entropy_loss)\n", " return cross_entropy_loss\n", "\n", "\n", @@ -336,10 +353,23 @@ " feature_dim = features.shape[-1]\n", " num_classes = labels.shape[-1]\n", " weights = np.reshape(flat_weights, [feature_dim, num_classes])\n", - " # ---------------------------------------------------------------\n", - " # TODO, do not forget to flatten the gradient before returning!\n", - " # ---------------------------------------------------------------\n", - " return None" + "\n", + " print(flat_weights.shape)\n", + " print(feature_dim)\n", + " print(features.shape)\n", + " print(labels.shape)\n", + "\n", + " N = features.shape[0]\n", + " K = weights.shape[-1]\n", + "\n", + " for i in range(1, N):\n", + " sample = features[i,:]\n", + " for k in range(1, K):\n", + " weights_k = weights[:,k]\n", + " prediction = (sample.dot(weights_k))/(pred(weights, sample, K))\n", + " diff = (prediction - labels)\n", + "\n", + " return diff" ] }, { @@ -351,21 +381,32 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 111, "metadata": { "scrolled": true }, "outputs": [ { - "ename": "TypeError", - "evalue": "unsupported operand type(s) for *: 'float' and 'NoneType'", + "name": "stdout", + "output_type": "stream", + "text": [ + "1105.2408446370623\n", + "(15,)\n", + "5\n", + "(120, 5)\n", + "(120, 3)\n" + ] + }, + { + "ename": "ValueError", + "evalue": "operands could not be broadcast together with shapes (15,) (120,3) ", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/tmp/ipykernel_450429/2535797275.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mw0_flat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m5\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# 4 features + bias, 3 classes\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mw_opt_flat\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mloss_opt\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_history\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mf_x_history\u001b[0m \u001b[0;34m=\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m\\\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m minimize(lambda w: objective_cat(w, train_features, oh_train_labels),\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0mw\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0md_objective_cat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mw\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrain_features\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moh_train_labels\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m w0_flat, 1e-2, 1000)\n", - "\u001b[0;32m/tmp/ipykernel_450429/3046325230.py\u001b[0m in \u001b[0;36mminimize\u001b[0;34m(f, df, x0, lr, num_iters)\u001b[0m\n\u001b[1;32m 28\u001b[0m \u001b[0;31m# update using gradient descent rule\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 29\u001b[0m \u001b[0mgrad\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 30\u001b[0;31m \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mlr\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mgrad\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 31\u001b[0m \u001b[0mf_x\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 32\u001b[0m \u001b[0;31m# logging info for visualization\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for *: 'float' and 'NoneType'" + "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m", + "\u001B[0;31mValueError\u001B[0m Traceback (most recent call last)", + "\u001B[0;32m/var/folders/8m/2yk46ljs1k714n86gqbjz6hw0000gn/T/ipykernel_19258/2460655226.py\u001B[0m in \u001B[0;36m\u001B[0;34m\u001B[0m\n\u001B[1;32m 5\u001B[0m minimize(lambda w: objective_cat(w, train_features, oh_train_labels),\n\u001B[1;32m 6\u001B[0m \u001B[0;32mlambda\u001B[0m \u001B[0mw\u001B[0m\u001B[0;34m:\u001B[0m \u001B[0md_objective_cat\u001B[0m\u001B[0;34m(\u001B[0m\u001B[0mw\u001B[0m\u001B[0;34m,\u001B[0m \u001B[0mtrain_features\u001B[0m\u001B[0;34m,\u001B[0m \u001B[0moh_train_labels\u001B[0m\u001B[0;34m)\u001B[0m\u001B[0;34m,\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n\u001B[0;32m----> 7\u001B[0;31m w0_flat, 1e-2, 1000)\n\u001B[0m\u001B[1;32m 8\u001B[0m \u001B[0;34m\u001B[0m\u001B[0m\n\u001B[1;32m 9\u001B[0m \u001B[0mw_opt\u001B[0m \u001B[0;34m=\u001B[0m \u001B[0mnp\u001B[0m\u001B[0;34m.\u001B[0m\u001B[0mreshape\u001B[0m\u001B[0;34m(\u001B[0m\u001B[0mw_opt_flat\u001B[0m\u001B[0;34m,\u001B[0m \u001B[0;34m[\u001B[0m\u001B[0;36m5\u001B[0m\u001B[0;34m,\u001B[0m \u001B[0;36m3\u001B[0m\u001B[0;34m]\u001B[0m\u001B[0;34m)\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n", + "\u001B[0;32m/var/folders/8m/2yk46ljs1k714n86gqbjz6hw0000gn/T/ipykernel_19258/3630115962.py\u001B[0m in \u001B[0;36mminimize\u001B[0;34m(f, df, x0, lr, num_iters)\u001B[0m\n\u001B[1;32m 28\u001B[0m \u001B[0;31m# update using gradient descent rule\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n\u001B[1;32m 29\u001B[0m \u001B[0mgrad\u001B[0m \u001B[0;34m=\u001B[0m \u001B[0mdf\u001B[0m\u001B[0;34m(\u001B[0m\u001B[0mx\u001B[0m\u001B[0;34m[\u001B[0m\u001B[0mi\u001B[0m\u001B[0;34m]\u001B[0m\u001B[0;34m)\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n\u001B[0;32m---> 30\u001B[0;31m \u001B[0mx\u001B[0m\u001B[0;34m[\u001B[0m\u001B[0mi\u001B[0m \u001B[0;34m+\u001B[0m \u001B[0;36m1\u001B[0m\u001B[0;34m]\u001B[0m \u001B[0;34m=\u001B[0m \u001B[0mx\u001B[0m\u001B[0;34m[\u001B[0m\u001B[0mi\u001B[0m\u001B[0;34m]\u001B[0m \u001B[0;34m-\u001B[0m \u001B[0mlr\u001B[0m \u001B[0;34m*\u001B[0m \u001B[0mgrad\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n\u001B[0m\u001B[1;32m 31\u001B[0m \u001B[0mf_x\u001B[0m\u001B[0;34m[\u001B[0m\u001B[0mi\u001B[0m \u001B[0;34m+\u001B[0m \u001B[0;36m1\u001B[0m\u001B[0;34m]\u001B[0m \u001B[0;34m=\u001B[0m \u001B[0mf\u001B[0m\u001B[0;34m(\u001B[0m\u001B[0mx\u001B[0m\u001B[0;34m[\u001B[0m\u001B[0mi\u001B[0m \u001B[0;34m+\u001B[0m \u001B[0;36m1\u001B[0m\u001B[0;34m]\u001B[0m\u001B[0;34m)\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n\u001B[1;32m 32\u001B[0m \u001B[0;31m# logging info for visualization\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0;34m\u001B[0m\u001B[0m\n", + "\u001B[0;31mValueError\u001B[0m: operands could not be broadcast together with shapes (15,) (120,3) " ] } ], @@ -414,7 +455,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 244, "metadata": {}, "outputs": [], "source": [ @@ -427,9 +468,30 @@ " :param y_data: y values of the data [N x target_dimension]\n", " :return k-nearest x values [k x input_dimension], k-nearest y values [k x target_dimension]\n", " \"\"\"\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + "\n", + " distance = []\n", + " for i in range(x_data.shape[0]):\n", + " point = np.array([x_data[i], y_data[i]])\n", + " dist = 0\n", + " for j in range(len(point[0])):\n", + " dist_1d = (query_point[j] - point[0][j])**2\n", + " dist += dist_1d\n", + " final_dist = np.sqrt(dist)\n", + " distance.append(final_dist)\n", + "\n", + " #idx = np.argpartition(distance, k)\n", + " #idx = idx[:k]\n", + "\n", + " idx = sorted(range(len(distance)), key=lambda i: distance[i])[:k]\n", + "\n", + " nearest_x = []\n", + " nearest_y = []\n", + " for j in range(len(idx)):\n", + " nearest_x.append(x_data[idx[j]])\n", + " nearest_y.append(y_data[idx[j]])\n", + "\n", + " return nearest_x, nearest_y\n", + "\n", "\n", "\n", "def majority_vote(y: np.ndarray) -> int:\n", @@ -437,9 +499,7 @@ " :param y: k nearest targets [K]\n", " :return the number x which occours most often in y. \n", " \"\"\"\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n" + " return np.bincount(y).argmax()\n" ] }, { @@ -451,12 +511,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 245, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 1.0\n" + ] + } + ], "source": [ "k = 5\n", - "\n", "predictions = np.zeros(test_features.shape[0])\n", "for i in range(test_features.shape[0]):\n", " _, nearest_y = get_k_nearest(\n", @@ -482,9 +549,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 211, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": "" + }, + "execution_count": 211, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -518,7 +604,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 197, "metadata": {}, "outputs": [], "source": [ @@ -534,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 198, "metadata": {}, "outputs": [], "source": [ @@ -591,7 +677,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 199, "metadata": {}, "outputs": [], "source": [ @@ -613,11 +699,24 @@ " # We use a dictionary to store the training and validation data.\n", " # Please use 'x' as a key for the input data and 'y' as a key for the output data in the dictionaries\n", " # for the training data and validation data.\n", + "\n", + " split_idx = int(n_data*split_coeff)\n", + "\n", " train_data = {}\n", " val_data = {}\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + "\n", + " train_split_x = data_in[0: split_idx, :]\n", + " train_split_y = data_out[0: split_idx, :]\n", + "\n", + " test_split_x = data_in[split_idx : , :]\n", + " test_split_y = data_in[split_idx: , :]\n", + "\n", + " train_data['x'] = train_split_x\n", + " train_data['y'] = train_split_y\n", + "\n", + " val_data['x'] = test_split_x\n", + " val_data['y'] = test_split_y\n", + "\n", " return train_data, val_data\n" ] }, @@ -636,7 +735,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 200, "metadata": {}, "outputs": [], "source": [ @@ -705,7 +804,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 225, "metadata": {}, "outputs": [], "source": [ @@ -739,26 +838,24 @@ "\n", " for i in range(k):\n", " # 1: Prepare i-th partition into training and validation data sets (cf. lecture slide 21)\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + " i_training_split = data_in[i * n_val_data: (i+1)*n_val_data, :]\n", + " i_validation_split = data_out[i * n_val_data: (i+1)*n_val_data, :]\n", "\n", " # 2: Fit model on training set\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + "\n", + " p = fit_func(i_training_split, i_validation_split, m)\n", + "\n", "\n", " # 3: Compute predictions on training set and validation set\n", - " # ---------------------------------------------------------------\n", - " # TODO\n", - " # ---------------------------------------------------------------\n", + "\n", + " y_pred_train = predict_func(p, i_training_split)\n", + " y_pred_val = predict_func(p, i_validation_split)\n", "\n", " # 4: Compute the mean squarred error for the training and validation sets\n", - " # ---------------------------------------------------------------\n", " # TODO\n", - " # mse_val[i] =\n", - " # mse_train[i] =\n", - " # ---------------------------------------------------------------\n", + "\n", + " mse_val[i] = np.mean((y_pred_val - data_out[i * n_val_data: (i+1)*n_val_data, :])**2)\n", + " mse_train[i] = np.mean((y_pred_train - data_in[i * n_val_data: (i+1)*n_val_data, :])**2)\n", "\n", " return mse_train, mse_val\n" ] @@ -772,7 +869,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 202, "metadata": {}, "outputs": [], "source": [ @@ -832,7 +929,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 203, "metadata": {}, "outputs": [], "source": [ @@ -855,7 +952,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 204, "metadata": {}, "outputs": [], "source": [ @@ -907,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 217, "metadata": {}, "outputs": [], "source": [ @@ -918,9 +1015,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 246, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best model complexity determined with hold-out method: 20\n", + "Best model complexity determined with cross-validation method: 3\n" + ] + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" 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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Evaluate hold-out method\n", "std_mse_val_ho_knn = eval_hold_out(M=M_knn, split_coeff=split_coeff, fit_func=fit_knn_regressor,\n", @@ -930,6 +1066,7 @@ "std_mse_val_cv_knn = eval_k_fold_cross_validation(M=M_knn, k=k, fit_func=fit_knn_regressor,\n", " predict_func=predict_knn_regressor)\n", "\n", + "\n", "# Plot the standard deviations\n", "plot_bars(M_knn, std_mse_val_ho_knn, std_mse_val_cv_knn)\n" ] @@ -951,7 +1088,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 191, "metadata": {}, "outputs": [], "source": [ @@ -971,7 +1108,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 185, "metadata": {}, "outputs": [], "source": [ @@ -990,7 +1127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 192, "metadata": {}, "outputs": [], "source": [ @@ -1018,7 +1155,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 187, "metadata": {}, "outputs": [], "source": [ @@ -1029,9 +1166,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 193, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best model complexity determined with hold-out method: 9\n", + "Best model complexity determined with cross-validation method: 1\n" + ] + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" 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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Hold-out method\n", "std_mse_val_ho_forest_fixed_n_trees = eval_hold_out(M=M_n_samples_leaf, split_coeff=split_coeff,\n", @@ -1063,7 +1239,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 189, "metadata": {}, "outputs": [], "source": [ @@ -1074,9 +1250,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 190, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best model complexity determined with hold-out method: 19\n", + "Best model complexity determined with cross-validation method: 20\n" + ] + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" 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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Hold-out method\n", "std_mse_val_ho_forest_fixed_n_samples = eval_hold_out(M=M_n_trees, split_coeff=split_coeff,\n", @@ -1142,4 +1357,4 @@ }, "nbformat": 4, "nbformat_minor": 1 -} +} \ No newline at end of file