{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Regularized Linear Models" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib\n", "\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import skew\n", "from scipy.stats import pearsonr\n", "\n", "\n", "%config InlineBackend.figure_format = 'retina' #set 'png' here when working on notebook\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "import requests\n", "import zipfile\n", "train_url = \"https://static-1300131294.cos.ap-shanghai.myqcloud.com/data/ml-advanced/model-selection/Regularized-Linear-Models/train.csv\"\n", "test_url = \"https://static-1300131294.cos.ap-shanghai.myqcloud.com/data/ml-advanced/model-selection/Regularized-Linear-Models/test.csv\"\n", "\n", "notebook_path = os.getcwd()\n", "\n", "tmp_folder_path = os.path.join(notebook_path, \"tmp\")\n", "\n", "if not os.path.exists(tmp_folder_path):\n", " os.makedirs(tmp_folder_path)\n", "\n", "file_path = os.path.join(tmp_folder_path,\"regularized-linear-models\")\n", "\n", "if not os.path.exists(file_path):\n", " os.makedirs(file_path)\n", "\n", "zip_store_path = os.path.join(file_path, \"zip-store\")\n", "\n", "if not os.path.exists(zip_store_path):\n", " os.makedirs(zip_store_path)\n", "\n", "train_response = requests.get(train_url)\n", "test_response = requests.get(test_url)\n", "\n", "train_name = os.path.basename(train_url)\n", "test_name = os.path.basename(test_url)\n", "\n", "train_save_path = os.path.join(file_path, train_name)\n", "test_save_path = os.path.join(file_path, test_name)\n", "\n", "with open(train_save_path, \"wb\") as file:\n", " file.write(train_response.content)\n", " \n", "with open(test_save_path, \"wb\") as file:\n", " file.write(test_response.content)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "train = pd.read_csv(\"./tmp/regularized-linear-models/train.csv\")\n", "test = pd.read_csv(\"./tmp/regularized-linear-models/test.csv\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IdMSSubClassMSZoningLotFrontageLotAreaStreetAlleyLotShapeLandContourUtilities...PoolAreaPoolQCFenceMiscFeatureMiscValMoSoldYrSoldSaleTypeSaleConditionSalePrice
0160RL65.08450PaveNaNRegLvlAllPub...0NaNNaNNaN022008WDNormal208500
1220RL80.09600PaveNaNRegLvlAllPub...0NaNNaNNaN052007WDNormal181500
2360RL68.011250PaveNaNIR1LvlAllPub...0NaNNaNNaN092008WDNormal223500
3470RL60.09550PaveNaNIR1LvlAllPub...0NaNNaNNaN022006WDAbnorml140000
4560RL84.014260PaveNaNIR1LvlAllPub...0NaNNaNNaN0122008WDNormal250000
\n", "

5 rows × 81 columns

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" ], "text/plain": [ " Id MSSubClass MSZoning LotFrontage LotArea Street Alley LotShape \\\n", "0 1 60 RL 65.0 8450 Pave NaN Reg \n", "1 2 20 RL 80.0 9600 Pave NaN Reg \n", "2 3 60 RL 68.0 11250 Pave NaN IR1 \n", "3 4 70 RL 60.0 9550 Pave NaN IR1 \n", "4 5 60 RL 84.0 14260 Pave NaN IR1 \n", "\n", " LandContour Utilities ... PoolArea PoolQC Fence MiscFeature MiscVal MoSold \\\n", "0 Lvl AllPub ... 0 NaN NaN NaN 0 2 \n", "1 Lvl AllPub ... 0 NaN NaN NaN 0 5 \n", "2 Lvl AllPub ... 0 NaN NaN NaN 0 9 \n", "3 Lvl AllPub ... 0 NaN NaN NaN 0 2 \n", "4 Lvl AllPub ... 0 NaN NaN NaN 0 12 \n", "\n", " YrSold SaleType SaleCondition SalePrice \n", "0 2008 WD Normal 208500 \n", "1 2007 WD Normal 181500 \n", "2 2008 WD Normal 223500 \n", "3 2006 WD Abnorml 140000 \n", "4 2008 WD Normal 250000 \n", "\n", "[5 rows x 81 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "all_data = pd.concat((train.loc[:,'MSSubClass':'SaleCondition'],\n", " test.loc[:,'MSSubClass':'SaleCondition']))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Data preprocessing: " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We're not going to do anything fancy here: \n", " \n", "* First I'll transform the skewed numeric features by taking log(feature + 1) - this will make the features more normal \n", "* Create Dummy variables for the categorical features \n", "* Replace the numeric missing values (NaN's) with the mean of their respective columns" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ]], dtype=object)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 527, "width": 986 } }, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams['figure.figsize'] = (12.0, 6.0)\n", "prices = pd.DataFrame({\"price\":train[\"SalePrice\"], \"log(price + 1)\":np.log1p(train[\"SalePrice\"])})\n", "prices.hist()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "log transform the target:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "train[\"SalePrice\"] = np.log1p(train[\"SalePrice\"])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "log transform skewed numeric features:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "numeric_feats = all_data.dtypes[all_data.dtypes != \"object\"].index\n", "\n", "skewed_feats = train[numeric_feats].apply(lambda x: skew(x.dropna())) #compute skewness\n", "skewed_feats = skewed_feats[skewed_feats > 0.75]\n", "skewed_feats = skewed_feats.index\n", "\n", "all_data[skewed_feats] = np.log1p(all_data[skewed_feats])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "all_data = pd.get_dummies(all_data)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "filling NA's with the mean of the column:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "all_data = all_data.fillna(all_data.mean())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that above I use all the data to compute the mean value that is then used for imputation. This is a flawed approach since it introduces some minor data leakage. However I decided to leave it here like this to showcase some common mistakes we all make :)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "creating matrices for sklearn:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "X_train = all_data[:train.shape[0]]\n", "X_test = all_data[train.shape[0]:]\n", "y = train.SalePrice" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Models\n", "\n", "Now we are going to use regularized linear regression models from the scikit learn module. I'm going to try both l_1(Lasso) and l_2(Ridge) regularization. I'll also define a function that returns the cross-validation rmse error so we can evaluate our models and pick the best tuning par" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Ridge, RidgeCV, ElasticNet, LassoCV, LassoLarsCV\n", "from sklearn.model_selection import cross_val_score\n", "\n", "def rmse_cv(model):\n", " rmse= np.sqrt(-cross_val_score(model, X_train, y, scoring=\"neg_mean_squared_error\", cv = 5))\n", " return(rmse)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "model_ridge = Ridge()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The main tuning parameter for the Ridge model is alpha - a regularization parameter that measures how flexible our model is. The higher the regularization the less prone our model will be to overfit. However it will also lose flexibility and might not capture all of the signal in the data." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "alphas = [0.05, 0.1, 0.3, 1, 3, 5, 10, 15, 30, 50, 75]\n", "cv_ridge = [rmse_cv(Ridge(alpha = alpha)).mean() \n", " for alpha in alphas]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'rmse')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 546, "width": 1018 } }, "output_type": "display_data" } ], "source": [ "cv_ridge = pd.Series(cv_ridge, index = alphas)\n", "cv_ridge.plot(title = \"Validation - Just Do It\")\n", "plt.xlabel(\"alpha\")\n", "plt.ylabel(\"rmse\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note the U-ish shaped curve above. When alpha is too large the regularization is too strong and the model cannot capture all the complexities in the data. If however we let the model be too flexible (alpha small) the model begins to overfit. A value of alpha = 10 is about right based on the plot above." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.12733734668670776" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cv_ridge.min()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "So for the Ridge regression we get a rmsle of about 0.127\n", "\n", "Let' try out the Lasso model. We will do a slightly different approach here and use the built in Lasso CV to figure out the best alpha for us. For some reason the alphas in Lasso CV are really the inverse or the alphas in Ridge." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "model_lasso = LassoCV(alphas = [1, 0.1, 0.001, 0.0005]).fit(X_train, y)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1225673588504812" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rmse_cv(model_lasso).mean()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Nice! The lasso performs even better so we'll just use this one to predict on the test set. Another neat thing about the Lasso is that it does feature selection for you - setting coefficients of features it deems unimportant to zero. Let's take a look at the coefficients:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "coef = pd.Series(model_lasso.coef_, index = X_train.columns)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lasso picked 110 variables and eliminated the other 178 variables\n" ] } ], "source": [ "print(\"Lasso picked \" + str(sum(coef != 0)) + \" variables and eliminated the other \" + str(sum(coef == 0)) + \" variables\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Good job Lasso. One thing to note here however is that the features selected are not necessarily the \"correct\" ones - especially since there are a lot of collinear features in this dataset. One idea to try here is run Lasso a few times on boostrapped samples and see how stable the feature selection is." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can also take a look directly at what the most important coefficients are:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "imp_coef = pd.concat([coef.sort_values().head(10),\n", " coef.sort_values().tail(10)])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Coefficients in the Lasso Model')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 835, "width": 813 } }, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams['figure.figsize'] = (8.0, 10.0)\n", "imp_coef.plot(kind = \"barh\")\n", "plt.title(\"Coefficients in the Lasso Model\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The most important positive feature is `GrLivArea` - the above ground area by area square feet. This definitely make sense. Then a few other location and quality features contributed positively. Some of the negative features make less sense and would be worth looking into more - it seems like they might come from unbalanced categorical variables.\n", "\n", "Also note that unlike the feature importance you'd get from a random forest these are _actual_ coefficients in your model - so you can say precisely why the predicted price is what it is. The only issue here is that we log_transformed both the target and the numeric features so the actual magnitudes are a bit hard to interpret and also the relationship is now multiplicative not additive. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "let's look at the residuals as well:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 525, "width": 547 } }, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams['figure.figsize'] = (6.0, 6.0)\n", "\n", "preds = pd.DataFrame({\"preds\":model_lasso.predict(X_train), \"true\":y})\n", "preds[\"residuals\"] = preds[\"true\"] - preds[\"preds\"]\n", "preds.plot(x = \"preds\", y = \"residuals\",kind = \"scatter\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The residual plot looks pretty good.To wrap it up let's predict on the test set and submit on the leaderboard:" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Adding an xgboost model:" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's add an xgboost model to our linear model to see if we can improve our score:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "import xgboost as xgb" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "dtrain = xgb.DMatrix(X_train, label = y)\n", "dtest = xgb.DMatrix(X_test)\n", "\n", "params = {\"max_depth\":2, \"eta\":0.1}\n", "model = xgb.cv(params, dtrain, num_boost_round=500, early_stopping_rounds=100)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 511, "width": 516 } }, "output_type": "display_data" } ], "source": [ "model.loc[30:,[\"test-rmse-mean\", \"train-rmse-mean\"]].plot()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
XGBRegressor(base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, gpu_id=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=2, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             n_estimators=360, n_jobs=None, num_parallel_tree=None,\n",
       "             predictor=None, random_state=None, ...)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "XGBRegressor(base_score=None, booster=None, callbacks=None,\n", " colsample_bylevel=None, colsample_bynode=None,\n", " colsample_bytree=None, early_stopping_rounds=None,\n", " enable_categorical=False, eval_metric=None, feature_types=None,\n", " gamma=None, gpu_id=None, grow_policy=None, importance_type=None,\n", " interaction_constraints=None, learning_rate=0.1, max_bin=None,\n", " max_cat_threshold=None, max_cat_to_onehot=None,\n", " max_delta_step=None, max_depth=2, max_leaves=None,\n", " min_child_weight=None, missing=nan, monotone_constraints=None,\n", " n_estimators=360, n_jobs=None, num_parallel_tree=None,\n", " predictor=None, random_state=None, ...)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_xgb = xgb.XGBRegressor(n_estimators=360, max_depth=2, learning_rate=0.1) #the params were tuned using xgb.cv\n", "model_xgb.fit(X_train, y)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "xgb_preds = np.expm1(model_xgb.predict(X_test))\n", "lasso_preds = np.expm1(model_lasso.predict(X_test))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 525, "width": 567 } }, "output_type": "display_data" } ], "source": [ "predictions = pd.DataFrame({\"xgb\":xgb_preds, \"lasso\":lasso_preds})\n", "predictions.plot(x = \"xgb\", y = \"lasso\", kind = \"scatter\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Many times it makes sense to take a weighted average of uncorrelated results - this usually imporoves the score although in this case it doesn't help that much. Here we will just do a weighted average based on some randomly picked value. We could also do a CV grid search here as well." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "preds = 0.7*lasso_preds + 0.3*xgb_preds" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "You can save it by following codes." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "solution = pd.DataFrame({\"id\":test.Id, \"SalePrice\":preds})\n", "solution.to_csv(\"ridge_sol.csv\", index = False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Acknowledgments\n", "\n", "Thanks to Alexandru Papiu for creating the open-source project [Regularized Linear Models](https://www.kaggle.com/code/apapiu/regularized-linear-models). It inspires the majority of the content in this chapter." ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }