{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"# [AMEX] Simple LGBM Starter for beginner (Eng/日本語)\n\nThis is a competiton to predict Default (=unable to pay Credit-card debt) for AMEX credit-card. From a look at the description in competition \"Evaluation\", there are difficult mathematical formula... but from a thought \"in a nutshell, should we predict Default-ratio by each customer?\", I tried to build as easy notebook as possible.   \n\nAMEXのデフォルト（クレジットカードの支払が出来なくなる）を予測するコンペ。Evaluationを見ると、何ともムズカシイ数式が出ていますが、要は「顧客ごとにデフォルトするかしないかを予測すればいいんでしょ？」ということで、できるだけシンプルなNotebookを組んでみました。\n\n**Credit to below links**  \nfor lightened Train & Test data\nhttps://www.kaggle.com/datasets/raddar/amex-data-integer-dtypes-parquet-format\n\n\nPlease add lightened data set as follows in advance, since the original csv ones are super-heavy.  \nコンペで提供されるデータセットは非常に重いので、事前に以下要領でデータセットをAddしておいてください。\n\n![image.png](attachment:54df4efe-66cb-4fec-897a-0f12612e92ee.png)","metadata":{},"attachments":{"54df4efe-66cb-4fec-897a-0f12612e92ee.png":{"image/png":"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"}}},{"cell_type":"code","source":"import os\nfor dirname, _, filenames in os.walk('/kaggle/input'):\n    for filename in filenames:\n        print(os.path.join(dirname, filename))","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","execution":{"iopub.status.busy":"2022-06-20T05:03:21.56674Z","iopub.execute_input":"2022-06-20T05:03:21.567533Z","iopub.status.idle":"2022-06-20T05:03:21.612211Z","shell.execute_reply.started":"2022-06-20T05:03:21.5674Z","shell.execute_reply":"2022-06-20T05:03:21.611062Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"# (1) Read Data","metadata":{}},{"cell_type":"code","source":"import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\nimport lightgbm as lgbm\nfrom lightgbm import LGBMClassifier\npd.set_option(\"display.max_columns\", None)","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:03:45.4963Z","iopub.execute_input":"2022-06-20T05:03:45.496844Z","iopub.status.idle":"2022-06-20T05:03:47.214266Z","shell.execute_reply.started":"2022-06-20T05:03:45.496806Z","shell.execute_reply":"2022-06-20T05:03:47.212791Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"First, let's read Train data. It is OK to read all data, but it will cause Memory-over error when LGBM running for fitting, hence we'll read two(2) records per each customer(tail(2)). We can read a single record, but it will lead to a bit lower Public score. \n\nまずはTrainデータを読み込みます。全データを読み込めなくもないのですが、LGBMで学習する際にメモリーオーバーエラーが発生するので、顧客ごとに２レコードだけ読み込みます (tail(2))。１レコードだけ読み込んでも良いですが、学習データが減るので、Public Scoreが少し下がります。\n\n![image.png](attachment:fda8214b-272f-4885-b0d0-75888761b7d1.png)","metadata":{},"attachments":{"fda8214b-272f-4885-b0d0-75888761b7d1.png":{"image/png":"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"}}},{"cell_type":"code","source":"%%time\ntrain_df = pd.read_parquet('../input/amex-data-integer-dtypes-parquet-format/train.parquet').groupby('customer_ID').tail(2).set_index('customer_ID', drop=True).sort_index()\ntrain_df","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:03:59.280501Z","iopub.execute_input":"2022-06-20T05:03:59.281036Z","iopub.status.idle":"2022-06-20T05:04:25.388167Z","shell.execute_reply.started":"2022-06-20T05:03:59.280996Z","shell.execute_reply":"2022-06-20T05:04:25.387137Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"train_labels = pd.read_csv('../input/amex-default-prediction/train_labels.csv').set_index('customer_ID', drop=True).sort_index()\ntrain_labels","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:06:45.672032Z","iopub.execute_input":"2022-06-20T05:06:45.673016Z","iopub.status.idle":"2022-06-20T05:06:46.836301Z","shell.execute_reply.started":"2022-06-20T05:06:45.672971Z","shell.execute_reply":"2022-06-20T05:06:46.834893Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"This Train labels is a label data pf each customer and \"target\" is also included here. Target \"1\" seems to stand for \"Default\" customer.  \nThere are 118k Default records, which is approx 26% out of total records (more than my initial thought!)  \n\nこのTrain labelsが顧客ごとのラベルで、かつターゲットもここに入っていて、1がDefault（支払い不能）になった顧客を表しています。  \nDefaultになった顧客は118千レコードあり、Trainデータ全体の約26%を占めています.\n","metadata":{}},{"cell_type":"code","source":"print(train_labels[\"target\"].sum(), train_labels[\"target\"].sum()/len(train_labels)*100,\"%\")","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:08:08.279997Z","iopub.execute_input":"2022-06-20T05:08:08.281399Z","iopub.status.idle":"2022-06-20T05:08:08.289747Z","shell.execute_reply.started":"2022-06-20T05:08:08.28134Z","shell.execute_reply":"2022-06-20T05:08:08.288655Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"%%time\ntrain_df = pd.merge(train_df, train_labels, left_index=True, right_index=True)\ntrain_df","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:08:44.572677Z","iopub.execute_input":"2022-06-20T05:08:44.573221Z","iopub.status.idle":"2022-06-20T05:09:01.323714Z","shell.execute_reply.started":"2022-06-20T05:08:44.573184Z","shell.execute_reply":"2022-06-20T05:09:01.322623Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"Let's remove the following columns, since they are categorical according to the explanation in data overview.    \n\nDataの説明で「Categorical column」と説明されている以下のColumnはいったん学習から除外します。","metadata":{}},{"cell_type":"code","source":"all_cols = train_df.columns\nnon_use_cols = ['S_2','B_30','B_38','D_114','D_116','D_117','D_120','D_126','D_63','D_64','D_66','D_68', 'target']\nfeature_cols = [col for col in all_cols if col not in non_use_cols]","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:09:01.325902Z","iopub.execute_input":"2022-06-20T05:09:01.326574Z","iopub.status.idle":"2022-06-20T05:09:01.334403Z","shell.execute_reply.started":"2022-06-20T05:09:01.326509Z","shell.execute_reply":"2022-06-20T05:09:01.333275Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"y = train_df['target'].copy()\nx = train_df[feature_cols]","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:09:13.590595Z","iopub.execute_input":"2022-06-20T05:09:13.59103Z","iopub.status.idle":"2022-06-20T05:09:14.173125Z","shell.execute_reply.started":"2022-06-20T05:09:13.591001Z","shell.execute_reply":"2022-06-20T05:09:14.171673Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"# (2) Build Model\n\nLet's simply build a model using LGBMClassifier since the aim is to predict probability of Default or not.\n\nDefaultするか否かの予測なので、シンプルにLGBMClassifierでモデルを組みます。","metadata":{}},{"cell_type":"code","source":"model_lgbm = lgbm.LGBMClassifier(n_estimators = 300)","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:09:25.01135Z","iopub.execute_input":"2022-06-20T05:09:25.012954Z","iopub.status.idle":"2022-06-20T05:09:25.018467Z","shell.execute_reply.started":"2022-06-20T05:09:25.012893Z","shell.execute_reply":"2022-06-20T05:09:25.016995Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"del train_df\ndel train_labels","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:09:33.107654Z","iopub.execute_input":"2022-06-20T05:09:33.108058Z","iopub.status.idle":"2022-06-20T05:09:33.113219Z","shell.execute_reply.started":"2022-06-20T05:09:33.10802Z","shell.execute_reply":"2022-06-20T05:09:33.112184Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"%%time\nmodel_lgbm.fit(x, y)","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:09:52.562023Z","iopub.execute_input":"2022-06-20T05:09:52.56248Z","iopub.status.idle":"2022-06-20T05:11:03.790043Z","shell.execute_reply.started":"2022-06-20T05:09:52.562447Z","shell.execute_reply":"2022-06-20T05:11:03.789028Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"# (3) Read test data and predict\n\nFrom a look at a sample submission file, it seems we need to predict 924,621 customer's Default probability. However, huge volume of records more than 11mil are included in Test data. Therefore, we'd like to extract a single record per each customer( tail(1) ). \n\nサンプルSubmissionファイルを見ると、全顧客（924,621）のDefault確率を予測するようですが、Testデータには11百万レコード以上という大量のデータが入っていますので、各顧客最後の1レコードを抽出します( tail(1) )。","metadata":{}},{"cell_type":"code","source":"%%time\ntest_df = pd.read_parquet('../input/amex-data-integer-dtypes-parquet-format/test.parquet').groupby('customer_ID').tail(1).set_index('customer_ID', drop=True).sort_index()\ntest_df","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:11:03.794162Z","iopub.execute_input":"2022-06-20T05:11:03.795066Z","iopub.status.idle":"2022-06-20T05:11:56.493684Z","shell.execute_reply.started":"2022-06-20T05:11:03.795021Z","shell.execute_reply":"2022-06-20T05:11:56.492257Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"test_df = test_df[feature_cols]\ny_pred  = model_lgbm.predict_proba(test_df)","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:11:56.495448Z","iopub.execute_input":"2022-06-20T05:11:56.496012Z","iopub.status.idle":"2022-06-20T05:12:05.609442Z","shell.execute_reply.started":"2022-06-20T05:11:56.495964Z","shell.execute_reply":"2022-06-20T05:12:05.608511Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"We can predict the probability for \"Will not default(0)\" and \"Will default(1)\", using predict_proba.   \n\npredict_probaを使うことで、各レコード（顧客）ごとに、「Defaultしない(0)確率」と「Defaultする(1)確率」を予測できます。","metadata":{}},{"cell_type":"code","source":"df_y_pred = pd.DataFrame({\"target0_prob\":y_pred[:,0],\"target1_prob\":y_pred[:,1]})\ndf_y_pred","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:12:05.611724Z","iopub.execute_input":"2022-06-20T05:12:05.612444Z","iopub.status.idle":"2022-06-20T05:12:05.631858Z","shell.execute_reply.started":"2022-06-20T05:12:05.612396Z","shell.execute_reply":"2022-06-20T05:12:05.631116Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"sub = pd.read_csv('../input/amex-default-prediction/sample_submission.csv')\nsub[\"prediction\"] = y_pred[:,1]\nsub.to_csv('submission.csv', index=False)\nsub.head()","metadata":{"execution":{"iopub.status.busy":"2022-06-20T05:12:05.633175Z","iopub.execute_input":"2022-06-20T05:12:05.633712Z","iopub.status.idle":"2022-06-20T05:12:13.297497Z","shell.execute_reply.started":"2022-06-20T05:12:05.633678Z","shell.execute_reply":"2022-06-20T05:12:13.296317Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"","metadata":{},"execution_count":null,"outputs":[]}]}