From 38d4410a8413e7d1b1ff94346518d33d1d832584 Mon Sep 17 00:00:00 2001 From: Austin Barton <101911867+abarton51@users.noreply.github.com> Date: Mon, 4 Dec 2023 19:16:01 -0500 Subject: [PATCH] work --- assets/cc_accuracy_path.png | Bin 0 -> 26658 bytes assets/dt_cc_path.png | Bin 0 -> 25106 bytes assets/dt_confusion_matrix.png | Bin 24443 -> 30465 bytes assets/rf_confusion_mat.png | Bin 24443 -> 30604 bytes assets/xgboost_model1_confusion_matrix.png | Bin 0 -> 31451 bytes assets/xgboost_model2_confusion_matrix.png | Bin 0 -> 31487 bytes assets/xgboost_model3_confusion_matrix.png | Bin 0 -> 31388 bytes src/musicNet/main.py | 146 +- src/musicNet/saved_models/bt/austin1.model | Bin 25979 -> 175710 bytes src/musicNet/saved_models/bt/dump.raw.txt | 2542 ++++++++++++++++---- tabs/final_report.md | 137 +- 11 files changed, 2355 insertions(+), 470 deletions(-) create mode 100644 assets/cc_accuracy_path.png create mode 100644 assets/dt_cc_path.png create mode 100644 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ConfusionMatrixDisplay +from sklearn.metrics import f1_score import xgboost as xgb path = 'src/musicNet/processed_data' @@ -28,18 +29,58 @@ labels = ['Bach', 'Beethoven', 'Brahms', 'Mozart', 'Schubert'] dt_clf = DecisionTreeClassifier(random_state=42) - dt_clf.fit(X_train, y_train) +y_pred = dt_clf.predict(X_test) training_accuracy = dt_clf.score(X_train, y_train) accuracy = dt_clf.score(X_test, y_test) -print(training_accuracy) -print(accuracy) +print("Decision Tree Classifier") +print(f"Training Accuracy: {training_accuracy}") +print(f"Test Accuracy: {accuracy}") +print(f"Test F1-Score{f1_score(y_test, y_pred, average='weighted')}\n") +print(dt_clf.get_depth()) + +path = dt_clf.cost_complexity_pruning_path(X_train, y_train) +ccp_alphas, impurities = path.ccp_alphas, path.impurities +fig, ax = plt.subplots() +ax.plot(ccp_alphas[:-1], impurities[:-1], marker="o", drawstyle="steps-post") +ax.set_xlabel("Effective alpha") +ax.set_ylabel("Total impurity of leaves") +ax.set_title("Total Impurity vs Effective alpha for training set") +plt.show() +plt.close() + +dt_clfs1 = [] +for ccp_alpha in ccp_alphas: + dt_clf = DecisionTreeClassifier(random_state=42, ccp_alpha=ccp_alpha) + dt_clf.fit(X_train, y_train) + dt_clfs1.append(dt_clf) +print( + "Number of nodes in the last tree is: {} with ccp_alpha: {}".format( + dt_clfs1[-1].tree_.node_count, ccp_alphas[-1] + ) +) + +train_scores1 = [dt_clf.score(X_train, y_train) for dt_clf in dt_clfs1] +test_scores1 = [dt_clf.score(X_test, y_test) for dt_clf in dt_clfs1] + +fig, ax = plt.subplots() +ax.set_xlabel("Alpha") +ax.set_ylabel("Accuracy") +ax.set_title("Accuracy vs Alpha for training and testing sets") +ax.plot(ccp_alphas, train_scores1, marker="o", label="train", drawstyle="steps-post") +ax.plot(ccp_alphas, test_scores1, marker="o", label="test", drawstyle="steps-post") +ax.legend() +plt.show() +plt.close() +dt_clf = DecisionTreeClassifier(random_state=42) +dt_clf.fit(X_train, y_train) ypred = dt_clf.predict(X_test) confusion_mat = confusion_matrix(y_test, ypred) conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) conf_mat_display.plot() +plt.title("Decision Tree Classifier - Confusion Matrix") plt.show() plt.close() @@ -49,82 +90,115 @@ rf_clf.fit(X_train, y_train) training_accuracy = rf_clf.score(X_train, y_train) accuracy = rf_clf.score(X_test, y_test) -print(training_accuracy) -print(accuracy) - -ypred = dt_clf.predict(X_test) +y_pred = rf_clf.predict(X_test) +print("Random Forest Classifier") +print(f"Training Accuracy: {training_accuracy}") +print(f"Test Accuracy: {accuracy}") +print(f"Test F1-Score{f1_score(y_test, y_pred, average='weighted')}") +max_depth = 0 +for tree in rf_clf.estimators_: + if max_depth < tree.get_depth(): + max_depth = tree.get_depth() +print(f"Maximum depth of Random Forest: {max_depth}\n") confusion_mat = confusion_matrix(y_test, ypred) conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) conf_mat_display.plot() +plt.title("Random Forest Classifier - Confusion Matrix") plt.show() plt.close() -bst = xgb.XGBClassifier(n_estimators=20, max_depth=15, learning_rate=0.8, objective='multi:softmax') +# ------------- XGBoost ---------------- +# Traning model 1 + +bst = xgb.XGBClassifier(n_estimators=20, max_depth=15, learning_rate=0.8, objective='multi:softmax', verbosity=2, subsample=0.25) # fit model -bst.fit(X_train, y_train) +bst.fit(X_train, y_train, verbose=True) # make predictions -preds = bst.predict(X_test) training_accuracy = bst.score(X_train, y_train) test_accuracy = bst.score(X_test, y_test) -print(training_accuracy) -print(test_accuracy) - ypred = bst.predict(X_test) +print("XGBoost Classifier - 20 estimators, max_depth of 15, learning rate of 0.8, softmax objective function.") +print(f"Training Accuracy: {training_accuracy}") +print(f"Test Accuracy: {accuracy}") +print(f"Test F1-Score{f1_score(y_test, y_pred, average='weighted')}\n") confusion_mat = confusion_matrix(y_test, ypred) conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) conf_mat_display.plot() +plt.title("XGBoost Classifier - Model 1 - Confusion Matrix") +plt.show() +plt.close() +# Model 1 but with table of training results + +dtrain = xgb.DMatrix(X_train, label=y_train) +dtest = xgb.DMatrix(X_test, label=y_test) -print(training_accuracy) -print(test_accuracy) +param = {'max_depth': 15, 'eta': 0.8, 'objective': 'multi:softmax'} +param['nthread'] = 4 +param['num_class'] = 5 +param['subsample'] = 0.25 +param['eval_metric'] = ['auc', 'merror'] +evallist = [(dtrain, 'train'), (dtest, 'eval')] + +num_round = 20 +bst = xgb.train(param, dtrain, num_round, evals=evallist, early_stopping_rounds=20) +bst.save_model('src\\musicNet\\saved_models\\bt\\austin1.model') +bst.dump_model('src\\musicNet\\saved_models\\bt\\dump.raw.txt') + +ypred = bst.predict(dtest) +confusion_mat = confusion_matrix(y_test, ypred) +conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) +conf_mat_display.plot() +plt.title("XGBoost Classifier - Model 1 - Confusion Matrix") +plt.show() +plt.close() + +# Training model 2 dtrain = xgb.DMatrix(X_train, label=y_train) dtest = xgb.DMatrix(X_test, label=y_test) dtrain.save_binary('src/musicNet/data/xgboost/train.buffer') -param = {'max_depth': 3, 'eta': 1, 'objective': 'multi:softmax'} +param = {'max_depth': 10, 'eta': 1, 'objective': 'multi:softmax'} param['nthread'] = 4 -param['eval_metric'] = 'auc' +param['subsample'] = 0.25 param['num_class'] = 5 -param['eval_metric'] = ['auc', 'ams@0'] - +param['eval_metric'] = ['auc', 'merror'] evallist = [(dtrain, 'train'), (dtest, 'eval')] num_round = 10000 -bst = xgb.train(param, dtrain, num_round, evals=evallist, early_stopping_rounds=10) - +bst = xgb.train(param, dtrain, num_round, evals=evallist, early_stopping_rounds=100) bst.save_model('src\\musicNet\\saved_models\\bt\\austin1.model') -# dump model bst.dump_model('src\\musicNet\\saved_models\\bt\\dump.raw.txt') -# dump model with feature map -#bst.dump_model('src/musicNet/saved_models/bt/dump.raw.txt', 'src/musicNet/saved_models/bt/featmap.txt') -#xgb.plot_importance(bst) -#xgb.plot_tree(bst, num_trees=2) -#xgb.to_graphviz(bst, num_trees=2) -ypred = bst.predict(dtest) +ypred = bst.predict(dtest) confusion_mat = confusion_matrix(y_test, ypred) conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) conf_mat_display.plot() - +plt.title("XGBoost Classifier - Model 2 - Confusion Matrix") plt.show() +plt.close() + +# Repackage model 2 so we can make actual predictions xgb_clf = xgb.XGBClassifier(**param) xgb_clf._Boster = bst -xgb_clf.fit(X_train, y_train) +xgb_clf.fit(X_train, y_train, verbose=True) # make predictions -preds = xgb_clf.predict(X_test) training_accuracy = xgb_clf.score(X_train, y_train) test_accuracy = xgb_clf.score(X_test, y_test) -print("final bt") -print(training_accuracy) -print(test_accuracy) - ypred = xgb_clf.predict(X_test) +print("XGBoost Classifier - 1000 estimators, max_depth of 15, learning rate of 0.8, softmax objective function.") +print(f"Training Accuracy: {training_accuracy}") +print(f"Test Accuracy: {accuracy}") +print(f"Test F1-Score{f1_score(y_test, y_pred, average='weighted')}\n") confusion_mat = confusion_matrix(y_test, ypred) conf_mat_display = ConfusionMatrixDisplay(confusion_matrix=confusion_mat, display_labels=labels) -conf_mat_display.plot() \ No newline at end of file +conf_mat_display.plot() +plt.title("XGBoost Classifier - Model 3 - Confusion Matrix") +plt.show() +plt.close() \ No newline at end of file diff --git a/src/musicNet/saved_models/bt/austin1.model b/src/musicNet/saved_models/bt/austin1.model index ca615546002edb7594dd503cae63e39cb57a3e0d..a37975d004bcfc30dc975a8f78c1209fcb006cb6 100644 GIT binary patch literal 175710 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zL*{BfhZ6MtZ;&5Ch~Hn$ZJjkU#~}aeDswYdTrMN$r*@|?wZgcsL&mTdX+-n~_Wbd8 zg1)H3{+1j^k=HisRs%6di=+RP*P`ErZ^4cap z6p~*x3zjo?MAENYG~)Vv_3ogHRH6)B)cXq8f19lpgt_g#GdFexP`H2Luio6X-p0Sl}4H@z4%R3;fdyDExN7aKDM(rA-Y| zo3C57Y1`J>xkdAKty(v4*Q}NJMb6J_toQK1F_XPJ{@ruB)A(V&-cIeEbpNXor^Zfy m|4&PX@b=+8!vX?^_z#;n%-5+s`^qHWA-suwueH<6ng0Wvs88Gg diff --git a/src/musicNet/saved_models/bt/dump.raw.txt b/src/musicNet/saved_models/bt/dump.raw.txt index 844250f..8045e55 100644 --- a/src/musicNet/saved_models/bt/dump.raw.txt +++ b/src/musicNet/saved_models/bt/dump.raw.txt @@ -1,498 +1,2176 @@ booster[0]: -0:[f87<0.00254154997] yes=1,no=2,missing=2 - 1:[f75<0.944010079] yes=3,no=4,missing=4 - 3:[f60<5.05201197] yes=7,no=8,missing=8 - 7:leaf=-0.175718844 - 8:leaf=1.72839499 - 4:[f167<0.0698904023] yes=9,no=10,missing=10 - 9:leaf=2.02702689 - 10:leaf=0.0877192989 - 2:[f76<10.0500002] yes=5,no=6,missing=6 - 5:[f79<7.85804462] yes=11,no=12,missing=12 - 11:leaf=-0.597920239 - 12:leaf=0.0877192989 - 6:leaf=0.526315749 +0:[f73<4.3460207] yes=1,no=2,missing=2 + 1:[f181<0.430878669] yes=3,no=4,missing=4 + 3:leaf=-0.564202309 + 4:[f61<0.481400996] yes=5,no=6,missing=6 + 5:leaf=0.964912236 + 6:leaf=-0.350877196 + 2:leaf=1.41975307 booster[1]: -0:[f185<0.00162497326] yes=1,no=2,missing=2 - 1:[f703<0.0268955752] yes=3,no=4,missing=4 - 3:[f65<0.0027700041] yes=7,no=8,missing=8 - 7:leaf=0.112359546 - 8:leaf=-0.575079858 - 4:leaf=1.41975307 - 2:[f443<0.489249408] yes=5,no=6,missing=6 - 5:[f297<0.246753246] yes=9,no=10,missing=10 - 9:leaf=1.78646922 - 10:leaf=0.172413781 - 6:[f70<0.115673803] yes=11,no=12,missing=12 - 11:leaf=0.526315749 - 12:leaf=-0.532544374 +0:[f316<1.72227454] yes=1,no=2,missing=2 + 1:[f195<0.00720387883] yes=3,no=4,missing=4 + 3:[f54<0.00417737011] yes=5,no=6,missing=6 + 5:leaf=0.0877192989 + 6:leaf=-0.350877196 + 4:[f429<0.969717503] yes=7,no=8,missing=8 + 7:leaf=1.89655161 + 8:leaf=0.185185179 + 2:leaf=-0.432098746 booster[2]: -0:[f445<0.543396235] yes=1,no=2,missing=2 - 1:leaf=-0.609756052 - 2:[f60<0.00182459841] yes=3,no=4,missing=4 - 3:leaf=-0.384615362 - 4:leaf=1.86131382 +0:[f445<0.429720819] yes=1,no=2,missing=2 + 1:leaf=-0.572390556 + 2:[f55<0.0824693665] yes=3,no=4,missing=4 + 3:leaf=0.0877192989 + 4:leaf=1.64383554 booster[3]: -0:[f438<0.137525409] yes=1,no=2,missing=2 - 1:[f81<6.99873781] yes=3,no=4,missing=4 - 3:leaf=-0.605875134 - 4:leaf=0.0877192989 - 2:[f73<1.09797299] yes=5,no=6,missing=6 - 5:[f91<0.212570623] yes=7,no=8,missing=8 - 7:leaf=1.43790841 - 8:leaf=-0.384615362 - 6:[f57<0.491558105] yes=9,no=10,missing=10 - 9:leaf=-0.522875786 - 10:leaf=0.0877192989 +0:[f450<0.334011048] yes=1,no=2,missing=2 + 1:leaf=-0.567765534 + 2:leaf=0.526315749 booster[4]: -0:[f94<0.0323196128] yes=1,no=2,missing=2 - 1:[f289<0.254577011] yes=3,no=4,missing=4 - 3:[f569<3.75950408] yes=7,no=8,missing=8 - 7:leaf=-0.529100478 - 8:leaf=0.526315749 - 4:[f57<0.746287286] yes=9,no=10,missing=10 - 9:leaf=-0.350877196 - 10:leaf=1.40350878 - 2:[f59<0.107758619] yes=5,no=6,missing=6 - 5:leaf=0.0877192989 - 6:leaf=2.01550388 +0:[f193<0.158469751] yes=1,no=2,missing=2 + 1:[f85<0.109970674] yes=3,no=4,missing=4 + 3:leaf=-0.123456784 + 4:leaf=1.51685393 + 2:leaf=-0.552995384 booster[5]: 0:[f87<0.00254154997] yes=1,no=2,missing=2 - 1:[f328<0.00590079278] yes=3,no=4,missing=4 - 3:[f588<0.0208916739] yes=7,no=8,missing=8 - 7:leaf=0.663875401 - 8:leaf=-0.326518506 - 4:[f312<1.15380073] yes=9,no=10,missing=10 - 9:leaf=-0.432485551 - 10:leaf=-0.0363297164 - 2:[f201<2.24534035] yes=5,no=6,missing=6 - 5:[f83<4.16011667] yes=11,no=12,missing=12 - 11:leaf=-0.50160259 - 12:leaf=0.126775458 - 6:leaf=0.45542115 + 1:[f324<0.00976640545] yes=3,no=4,missing=4 + 3:[f433<0.135974303] yes=5,no=6,missing=6 + 5:leaf=1.94483006 + 6:leaf=0.250039965 + 4:leaf=0.0348691829 + 2:leaf=-0.506277204 booster[6]: -0:[f193<0.00294380006] yes=1,no=2,missing=2 - 1:[f64<4.15852976] yes=3,no=4,missing=4 - 3:[f428<0.0186915882] yes=7,no=8,missing=8 - 7:leaf=-0.621671736 - 8:leaf=0.282755256 - 4:leaf=0.325133085 - 2:[f72<1.46342051] yes=5,no=6,missing=6 - 5:[f173<0.349695027] yes=9,no=10,missing=10 - 9:leaf=0.767218888 - 10:leaf=-0.414930969 - 6:[f187<1.60060978] yes=11,no=12,missing=12 - 11:leaf=-0.376081884 - 12:leaf=0.579494476 +0:[f190<3.69198418] yes=1,no=2,missing=2 + 1:[f313<0.00554144522] yes=3,no=4,missing=4 + 3:[f89<0.00474229362] yes=5,no=6,missing=6 + 5:leaf=0.902582884 + 6:leaf=-0.360640496 + 4:[f320<1.43377554] yes=7,no=8,missing=8 + 7:leaf=-0.831936359 + 8:[f189<0.299121469] yes=9,no=10,missing=10 + 9:leaf=-0.0618941486 + 10:leaf=0.079280369 + 2:leaf=0.763889849 booster[7]: -0:[f455<0.146782488] yes=1,no=2,missing=2 - 1:[f423<1.42857146] yes=3,no=4,missing=4 - 3:leaf=-0.550613344 - 4:leaf=-0.00177071837 - 2:[f69<0.160256416] yes=5,no=6,missing=6 - 5:leaf=-0.064219445 - 6:leaf=0.576930344 +0:[f445<0.343375236] yes=1,no=2,missing=2 + 1:leaf=-0.485949427 + 2:leaf=0.857486606 booster[8]: -0:[f446<0.0821859464] yes=1,no=2,missing=2 - 1:[f325<0.791208804] yes=3,no=4,missing=4 - 3:leaf=-0.553426743 - 4:leaf=0.165459722 - 2:[f75<1.47030771] yes=5,no=6,missing=6 - 5:[f211<0.0268793423] yes=7,no=8,missing=8 - 7:leaf=0.660314083 - 8:leaf=-0.27326411 - 6:leaf=-0.393650621 +0:[f447<0.301598847] yes=1,no=2,missing=2 + 1:[f67<0.0073910295] yes=3,no=4,missing=4 + 3:leaf=0.155594081 + 4:leaf=-0.509337068 + 2:leaf=0.648961008 booster[9]: -0:[f91<0.00899621192] yes=1,no=2,missing=2 - 1:[f574<1.54189491] yes=3,no=4,missing=4 - 3:[f66<6.14457083] yes=7,no=8,missing=8 - 7:leaf=-0.514576375 - 8:leaf=0.0317992792 - 4:leaf=0.664710224 - 2:[f199<0.709219873] yes=5,no=6,missing=6 - 5:[f72<5.04865265] yes=9,no=10,missing=10 - 9:leaf=0.884503901 - 10:leaf=0.061729975 - 6:[f188<3.79882383] yes=11,no=12,missing=12 - 11:leaf=-0.43122673 - 12:leaf=-0.0310954824 +0:[f90<0.0146927638] yes=1,no=2,missing=2 + 1:[f422<0.00939098932] yes=3,no=4,missing=4 + 3:leaf=-0.49747476 + 4:leaf=0.154166833 + 2:[f435<0.0109614898] yes=5,no=6,missing=6 + 5:leaf=0.800356388 + 6:leaf=-0.0274251774 booster[10]: -0:[f73<4.3460207] yes=1,no=2,missing=2 - 1:[f324<0.00976640545] yes=3,no=4,missing=4 - 3:[f73<1.45155513] yes=7,no=8,missing=8 - 7:leaf=0.232409865 - 8:leaf=-0.472100168 - 4:leaf=-0.457112402 - 2:[f183<0.571247041] yes=5,no=6,missing=6 - 5:leaf=0.563556969 - 6:leaf=0.0376733504 +0:[f441<1.1542033] yes=1,no=2,missing=2 + 1:[f59<0.918547571] yes=3,no=4,missing=4 + 3:leaf=-0.630332232 + 4:leaf=0.0164065026 + 2:[f185<0.00162497326] yes=5,no=6,missing=6 + 5:leaf=0.908046603 + 6:leaf=-0.0725948811 booster[11]: -0:[f212<0.0654808432] yes=1,no=2,missing=2 - 1:[f183<5.19623041] yes=3,no=4,missing=4 - 3:[f422<0.548450589] yes=7,no=8,missing=8 - 7:leaf=-0.232411027 - 8:leaf=0.35087949 - 4:leaf=0.56779182 - 2:[f437<0.980098963] yes=5,no=6,missing=6 - 5:leaf=0.592321455 - 6:leaf=-0.146391183 +0:[f81<0.702127635] yes=1,no=2,missing=2 + 1:[f50<3.44616318] yes=3,no=4,missing=4 + 3:[f83<0.239606127] yes=7,no=8,missing=8 + 7:leaf=0.779112041 + 8:leaf=-0.0690309778 + 4:leaf=-0.336453766 + 2:[f88<0.945022285] yes=5,no=6,missing=6 + 5:leaf=-0.714582622 + 6:leaf=0.184592083 booster[12]: -0:[f455<0.146782488] yes=1,no=2,missing=2 - 1:[f58<2.60423064] yes=3,no=4,missing=4 - 3:leaf=-0.508303046 - 4:leaf=-0.063859202 - 2:[f57<0.0226346217] yes=5,no=6,missing=6 - 5:leaf=0.0336143672 - 6:leaf=0.44030109 +0:[f449<0.827547193] yes=1,no=2,missing=2 + 1:leaf=-0.513014853 + 2:leaf=0.511008024 booster[13]: -0:[f328<0.152615771] yes=1,no=2,missing=2 - 1:[f453<2.72904444] yes=3,no=4,missing=4 - 3:leaf=-0.512104332 - 4:leaf=0.382151335 - 2:[f320<2.19173932] yes=5,no=6,missing=6 - 5:[f164<0.446741015] yes=7,no=8,missing=8 - 7:leaf=-0.399359494 - 8:leaf=0.359576225 - 6:[f211<0.0070309611] yes=9,no=10,missing=10 - 9:leaf=0.703581929 - 10:leaf=0.116129138 +0:[f434<1.33528721] yes=1,no=2,missing=2 + 1:leaf=-0.49301675 + 2:leaf=0.686393976 booster[14]: -0:[f202<0.328565896] yes=1,no=2,missing=2 - 1:[f85<0.203416556] yes=3,no=4,missing=4 - 3:[f422<0.0573710427] yes=7,no=8,missing=8 - 7:leaf=-0.372644097 - 8:leaf=0.138698533 - 4:[f72<5.04865265] yes=9,no=10,missing=10 - 9:leaf=0.639881134 - 10:leaf=-0.030372601 - 2:[f93<0.456261516] yes=5,no=6,missing=6 - 5:leaf=-0.451451212 - 6:leaf=0.0924881548 +0:[f199<0.000769724196] yes=1,no=2,missing=2 + 1:[f317<0.000554144557] yes=3,no=4,missing=4 + 3:leaf=-0.297527492 + 4:leaf=0.804812253 + 2:leaf=-0.668853223 booster[15]: -0:[f197<1.47799802] yes=1,no=2,missing=2 - 1:[f197<0.00316442153] yes=3,no=4,missing=4 - 3:[f436<0.00181481615] yes=7,no=8,missing=8 - 7:leaf=0.256487668 - 8:leaf=-0.382459372 - 4:[f192<0.12212304] yes=9,no=10,missing=10 - 9:leaf=-0.0104340464 - 10:leaf=-0.435325056 - 2:[f86<0.230991736] yes=5,no=6,missing=6 - 5:[f321<0.00474229362] yes=11,no=12,missing=12 - 11:leaf=0.631554246 - 12:leaf=0.14194043 - 6:[f74<3.25640583] yes=13,no=14,missing=14 - 13:leaf=-0.297789067 - 14:leaf=0.00607704651 +0:[f87<0.00254154997] yes=1,no=2,missing=2 + 1:[f72<0.9983657] yes=3,no=4,missing=4 + 3:[f316<0.215517238] yes=5,no=6,missing=6 + 5:leaf=0.111601718 + 6:leaf=-0.351899952 + 4:leaf=0.755083025 + 2:leaf=-0.424322933 booster[16]: -0:[f313<1.21230185] yes=1,no=2,missing=2 - 1:[f573<0.25] yes=3,no=4,missing=4 - 3:[f82<0.100772589] yes=7,no=8,missing=8 - 7:leaf=0.492248833 - 8:leaf=0.050601773 - 4:leaf=-0.354725808 - 2:[f214<0.169751868] yes=5,no=6,missing=6 - 5:[f423<0.0929095373] yes=9,no=10,missing=10 - 9:leaf=-0.511735082 - 10:leaf=0.0315202475 - 6:leaf=0.311563313 +0:[f164<0.0750050396] yes=1,no=2,missing=2 + 1:[f77<1.12375379] yes=3,no=4,missing=4 + 3:[f186<0.0263307169] yes=5,no=6,missing=6 + 5:leaf=-0.0296916962 + 6:leaf=0.356004298 + 4:[f89<0.114865929] yes=7,no=8,missing=8 + 7:leaf=-0.918346643 + 8:leaf=-0.261185735 + 2:leaf=0.557905018 booster[17]: -0:[f445<0.543396235] yes=1,no=2,missing=2 - 1:leaf=-0.424833 - 2:[f91<0.0246083625] yes=3,no=4,missing=4 - 3:leaf=-0.106609948 - 4:leaf=0.375838935 +0:[f454<0.127558082] yes=1,no=2,missing=2 + 1:leaf=-0.434622735 + 2:leaf=0.352711916 booster[18]: -0:[f448<0.072580643] yes=1,no=2,missing=2 - 1:[f320<2.11398315] yes=3,no=4,missing=4 - 3:leaf=-0.434023142 - 4:leaf=0.04388294 - 2:[f305<0.00299071311] yes=5,no=6,missing=6 - 5:[f186<0.00283330702] yes=7,no=8,missing=8 - 7:leaf=0.121790521 - 8:leaf=0.463174105 - 6:leaf=-0.229198262 +0:[f67<1.30293417] yes=1,no=2,missing=2 + 1:[f438<0.209724054] yes=3,no=4,missing=4 + 3:leaf=0.0982856527 + 4:leaf=1.23159897 + 2:leaf=-0.416783512 booster[19]: -0:[f305<0.632365823] yes=1,no=2,missing=2 - 1:[f596<0.282752126] yes=3,no=4,missing=4 - 3:[f42<0.0295734536] yes=7,no=8,missing=8 - 7:leaf=-0.384347051 - 8:leaf=0.141131997 - 4:leaf=0.383073688 - 2:[f203<0.071676299] yes=5,no=6,missing=6 - 5:leaf=0.485984713 - 6:leaf=-0.0532288775 +0:[f304<0.786907792] yes=1,no=2,missing=2 + 1:[f91<0.145982504] yes=3,no=4,missing=4 + 3:leaf=-0.436879277 + 4:leaf=0.17804347 + 2:leaf=0.951328695 booster[20]: -0:[f85<0.000542578113] yes=1,no=2,missing=2 - 1:[f78<0.0318066962] yes=3,no=4,missing=4 - 3:[f60<4.13189507] yes=7,no=8,missing=8 - 7:leaf=-0.276262879 - 8:leaf=0.285161316 - 4:[f82<0.057781104] yes=9,no=10,missing=10 - 9:leaf=0.0557740256 - 10:leaf=0.396938324 - 2:[f81<5.1960516] yes=5,no=6,missing=6 - 5:leaf=-0.345226794 - 6:leaf=0.223902807 +0:[f177<0.00772585254] yes=1,no=2,missing=2 + 1:[f179<0.151009291] yes=3,no=4,missing=4 + 3:[f78<0.466097236] yes=5,no=6,missing=6 + 5:leaf=-0.295145184 + 6:leaf=0.442563623 + 4:leaf=0.862622261 + 2:leaf=-0.3486619 booster[21]: -0:[f187<1.27792811] yes=1,no=2,missing=2 - 1:[f62<0.219178081] yes=3,no=4,missing=4 - 3:[f196<1.5606786] yes=7,no=8,missing=8 - 7:leaf=0.296430796 - 8:leaf=-0.286030948 - 4:[f212<0.300674617] yes=9,no=10,missing=10 - 9:leaf=-0.347832948 - 10:leaf=0.199596107 - 2:[f436<0.245750293] yes=5,no=6,missing=6 - 5:leaf=0.367717385 - 6:leaf=-0.0417781174 +0:[f185<0.00162497326] yes=1,no=2,missing=2 + 1:leaf=-0.467426181 + 2:[f64<0.56934166] yes=3,no=4,missing=4 + 3:leaf=0.609626055 + 4:leaf=0.020636661 booster[22]: -0:[f445<0.543396235] yes=1,no=2,missing=2 - 1:leaf=-0.366818398 - 2:[f195<1.82498491] yes=3,no=4,missing=4 - 3:leaf=-0.0743194595 - 4:leaf=0.324283719 +0:[f66<0.74448061] yes=1,no=2,missing=2 + 1:leaf=-0.51560694 + 2:leaf=-0.0637221709 booster[23]: -0:[f433<0.135974303] yes=1,no=2,missing=2 - 1:[f173<0.231295526] yes=3,no=4,missing=4 - 3:leaf=-0.390636533 - 4:leaf=0.127287298 - 2:[f317<0.891269624] yes=5,no=6,missing=6 - 5:leaf=0.328657329 - 6:leaf=-0.117119104 +0:[f453<0.0319375433] yes=1,no=2,missing=2 + 1:leaf=-0.558456361 + 2:leaf=0.497382849 booster[24]: -0:[f91<0.00899621192] yes=1,no=2,missing=2 - 1:[f586<2.59809113] yes=3,no=4,missing=4 - 3:leaf=-0.349017948 - 4:leaf=0.193898857 - 2:[f57<0.198313609] yes=5,no=6,missing=6 - 5:leaf=-0.104912318 - 6:[f91<0.170440629] yes=7,no=8,missing=8 - 7:leaf=0.40668267 - 8:leaf=0.107181005 +0:[f183<0.0793883651] yes=1,no=2,missing=2 + 1:leaf=0.32784161 + 2:leaf=-0.321850538 booster[25]: -0:[f73<4.3460207] yes=1,no=2,missing=2 - 1:[f72<3.67264318] yes=3,no=4,missing=4 - 3:[f299<0.769990146] yes=5,no=6,missing=6 - 5:leaf=-0.304331928 - 6:leaf=0.129486054 - 4:[f60<0.314127684] yes=7,no=8,missing=8 - 7:leaf=0.272618562 - 8:leaf=-0.0508474633 - 2:leaf=0.238640293 +0:[f73<3.61614656] yes=1,no=2,missing=2 + 1:leaf=-0.318015665 + 2:leaf=0.57998395 booster[26]: -0:[f186<1.78944111] yes=1,no=2,missing=2 - 1:[f60<0.00182459841] yes=3,no=4,missing=4 - 3:[f325<0.173522875] yes=7,no=8,missing=8 - 7:leaf=-0.30531171 - 8:leaf=-0.00682514347 - 4:[f326<0.326487631] yes=9,no=10,missing=10 - 9:leaf=0.189298183 - 10:leaf=-0.274427563 - 2:[f195<0.779556096] yes=5,no=6,missing=6 - 5:leaf=0.0102596488 - 6:leaf=0.301863611 +0:[f70<0.483377516] yes=1,no=2,missing=2 + 1:leaf=0.701207519 + 2:leaf=-0.347316891 booster[27]: -0:[f455<0.146782488] yes=1,no=2,missing=2 - 1:leaf=-0.273433208 - 2:leaf=0.209762409 +0:[f433<0.0642609] yes=1,no=2,missing=2 + 1:leaf=0.00955190416 + 2:leaf=-0.299489617 booster[28]: -0:[f436<0.0163068101] yes=1,no=2,missing=2 - 1:leaf=-0.297996283 - 2:[f194<0.417046517] yes=3,no=4,missing=4 - 3:leaf=0.245405763 - 4:leaf=-0.107895374 +0:[f309<0.215517238] yes=1,no=2,missing=2 + 1:leaf=0.399858296 + 2:leaf=-0.544919252 booster[29]: -0:[f196<0.370752245] yes=1,no=2,missing=2 - 1:[f315<0.00110828911] yes=3,no=4,missing=4 - 3:leaf=-0.151524931 - 4:leaf=0.320254683 - 2:leaf=-0.24900423 +0:[f419<0.0121615045] yes=1,no=2,missing=2 + 1:leaf=-0.412690103 + 2:leaf=0.559529245 booster[30]: -0:[f87<0.00254154997] yes=1,no=2,missing=2 - 1:[f309<0.773809552] yes=3,no=4,missing=4 - 3:[f65<0.0027700041] yes=5,no=6,missing=6 - 5:leaf=0.0143320039 - 6:leaf=0.2649391 - 4:leaf=-0.0937432349 - 2:leaf=-0.164835647 +0:[f86<0.00592786726] yes=1,no=2,missing=2 + 1:leaf=0.261431664 + 2:leaf=-0.646429718 booster[31]: -0:[f193<0.00294380006] yes=1,no=2,missing=2 - 1:[f60<0.00182459841] yes=3,no=4,missing=4 - 3:leaf=-0.232425064 - 4:leaf=-0.055137869 - 2:[f72<1.9127804] yes=5,no=6,missing=6 - 5:[f317<0.270247936] yes=7,no=8,missing=8 - 7:leaf=0.347235203 - 8:leaf=0.00531240739 - 6:[f171<0.00868621096] yes=9,no=10,missing=10 - 9:leaf=-0.218183398 - 10:leaf=0.122564167 +0:[f57<0.0997442454] yes=1,no=2,missing=2 + 1:leaf=0.410557956 + 2:[f195<2.50544572] yes=3,no=4,missing=4 + 3:leaf=-0.660697877 + 4:leaf=0.0277274251 booster[32]: -0:[f445<0.543396235] yes=1,no=2,missing=2 - 1:leaf=-0.264462113 - 2:leaf=0.166693076 +0:[f451<0.576678455] yes=1,no=2,missing=2 + 1:leaf=-0.0869682655 + 2:leaf=0.524466932 booster[33]: -0:[f320<2.19173932] yes=1,no=2,missing=2 - 1:[f450<0.0421259254] yes=3,no=4,missing=4 - 3:leaf=-0.301022321 - 4:leaf=0.0576705411 - 2:leaf=0.160322711 +0:[f73<0.243880212] yes=1,no=2,missing=2 + 1:leaf=0.500130653 + 2:[f319<0.75848639] yes=3,no=4,missing=4 + 3:leaf=-0.069238469 + 4:leaf=-0.543482184 booster[34]: -0:[f92<0.0224381629] yes=1,no=2,missing=2 - 1:[f317<0.000554144557] yes=3,no=4,missing=4 - 3:leaf=-0.269063264 - 4:leaf=0.0355622731 - 2:leaf=0.184870735 +0:[f60<0.356652081] yes=1,no=2,missing=2 + 1:leaf=-0.29107058 + 2:[f55<1.3471415] yes=3,no=4,missing=4 + 3:leaf=0.97496736 + 4:leaf=0.119154371 booster[35]: -0:[f188<0.00299071311] yes=1,no=2,missing=2 - 1:[f81<1.50085533] yes=3,no=4,missing=4 - 3:leaf=-0.0687485114 - 4:leaf=0.284221798 - 2:[f86<0.00592786726] yes=5,no=6,missing=6 - 5:[f182<0.0789473653] yes=7,no=8,missing=8 - 7:leaf=-0.0496564284 - 8:leaf=0.160247326 - 6:leaf=-0.278983802 +0:[f82<0.328947365] yes=1,no=2,missing=2 + 1:leaf=1.12803173 + 2:leaf=-0.458722323 booster[36]: -0:[f212<0.0654808432] yes=1,no=2,missing=2 - 1:[f174<0.210972592] yes=3,no=4,missing=4 - 3:[f423<0.0123041812] yes=5,no=6,missing=6 - 5:leaf=-0.259819537 - 6:leaf=0.0930926427 - 4:[f58<0.398453683] yes=7,no=8,missing=8 - 7:leaf=0.269197673 - 8:leaf=-0.056416072 - 2:leaf=0.221564591 +0:[f82<0.057781104] yes=1,no=2,missing=2 + 1:leaf=0.445793599 + 2:[f85<0.904361844] yes=3,no=4,missing=4 + 3:leaf=-0.707021713 + 4:leaf=-0.134077296 booster[37]: -0:[f73<1.40631914] yes=1,no=2,missing=2 - 1:leaf=-0.157754987 - 2:leaf=0.121088035 +0:[f455<0.101519339] yes=1,no=2,missing=2 + 1:leaf=-0.439361244 + 2:leaf=0.270291239 booster[38]: -0:[f328<0.152615771] yes=1,no=2,missing=2 - 1:leaf=-0.169083342 - 2:leaf=0.108819708 +0:[f193<0.0372928195] yes=1,no=2,missing=2 + 1:leaf=0.676307857 + 2:leaf=-0.428191751 booster[39]: -0:[f199<0.709219873] yes=1,no=2,missing=2 - 1:[f317<0.000554144557] yes=3,no=4,missing=4 - 3:leaf=-0.0986715108 - 4:leaf=0.234420851 - 2:leaf=-0.213346735 +0:[f185<0.0680045411] yes=1,no=2,missing=2 + 1:leaf=0.714303851 + 2:[f68<1.31640887] yes=3,no=4,missing=4 + 3:leaf=-0.411577195 + 4:leaf=0.0209199842 booster[40]: -0:[f197<1.47799802] yes=1,no=2,missing=2 - 1:[f58<1.10991788] yes=3,no=4,missing=4 - 3:leaf=-0.206050158 - 4:leaf=0.112298831 - 2:leaf=0.135670498 +0:[f186<0.00283330702] yes=1,no=2,missing=2 + 1:leaf=0.725978911 + 2:leaf=-0.588061571 booster[41]: -0:[f62<1.00321639] yes=1,no=2,missing=2 - 1:[f76<1.81992447] yes=3,no=4,missing=4 - 3:[f437<0.0203389823] yes=7,no=8,missing=8 - 7:leaf=0.0312347859 - 8:leaf=0.273703307 - 4:leaf=-0.0847936422 - 2:[f71<0.977812767] yes=5,no=6,missing=6 - 5:leaf=-0.229477286 - 6:leaf=0.0391496904 +0:[f68<0.231347606] yes=1,no=2,missing=2 + 1:[f304<0.00598142622] yes=3,no=4,missing=4 + 3:leaf=-0.806711435 + 4:leaf=-0.124220558 + 2:[f65<3.72517824] yes=5,no=6,missing=6 + 5:leaf=0.0392437205 + 6:leaf=0.430936128 booster[42]: -0:leaf=-0.0133904722 +0:[f205<1.66711903] yes=1,no=2,missing=2 + 1:leaf=-0.216072142 + 2:leaf=0.367930323 booster[43]: -0:[f433<0.135974303] yes=1,no=2,missing=2 - 1:leaf=-0.148565814 - 2:leaf=0.0961077958 +0:[f320<2.72495103] yes=1,no=2,missing=2 + 1:leaf=-0.344734311 + 2:leaf=0.872487605 booster[44]: -0:[f92<0.0224381629] yes=1,no=2,missing=2 - 1:leaf=-0.127172247 - 2:leaf=0.136539012 +0:[f71<1.53985429] yes=1,no=2,missing=2 + 1:leaf=-0.0914518759 + 2:leaf=-0.407454491 booster[45]: -0:[f85<0.000542578113] yes=1,no=2,missing=2 - 1:[f78<0.0318066962] yes=3,no=4,missing=4 - 3:leaf=-0.0495181493 - 4:leaf=0.187555581 - 2:leaf=-0.132087171 +0:[f197<0.00316442153] yes=1,no=2,missing=2 + 1:leaf=0.567224443 + 2:[f61<0.00647588493] yes=3,no=4,missing=4 + 3:leaf=0.207850933 + 4:leaf=-0.366284281 booster[46]: -0:[f187<1.27792811] yes=1,no=2,missing=2 - 1:[f59<0.0257823896] yes=3,no=4,missing=4 - 3:[f186<0.00283330702] yes=5,no=6,missing=6 - 5:leaf=-0.135928482 - 6:leaf=0.189854056 - 4:leaf=-0.194462657 - 2:leaf=0.164950982 +0:[f68<0.383479148] yes=1,no=2,missing=2 + 1:[f196<0.211263731] yes=3,no=4,missing=4 + 3:leaf=0.105062343 + 4:leaf=-0.436443239 + 2:[f185<0.250380278] yes=5,no=6,missing=6 + 5:leaf=0.00719080959 + 6:leaf=0.775642872 booster[47]: -0:leaf=0.00713210041 +0:leaf=-0.329960436 booster[48]: -0:[f318<1.04129589] yes=1,no=2,missing=2 - 1:leaf=0.0943119749 - 2:leaf=-0.135280624 +0:[f436<0.152650177] yes=1,no=2,missing=2 + 1:leaf=-0.0418393649 + 2:leaf=0.229026541 booster[49]: -0:[f191<0.119760476] yes=1,no=2,missing=2 - 1:leaf=0.113984205 - 2:leaf=-0.1410999 +0:[f187<0.155844152] yes=1,no=2,missing=2 + 1:leaf=0.105118938 + 2:leaf=-0.513294697 booster[50]: -0:[f186<0.00283330702] yes=1,no=2,missing=2 - 1:leaf=0.109875768 - 2:[f181<0.287803948] yes=3,no=4,missing=4 - 3:leaf=-0.145542577 - 4:leaf=0.020898385 +0:[f196<1.05168617] yes=1,no=2,missing=2 + 1:leaf=-0.493719906 + 2:leaf=0.244076028 booster[51]: -0:[f82<0.0843750015] yes=1,no=2,missing=2 - 1:[f68<0.00254074251] yes=3,no=4,missing=4 - 3:leaf=-0.0356240347 - 4:leaf=0.225002453 - 2:[f189<0.459874541] yes=5,no=6,missing=6 - 5:leaf=-0.199208379 - 6:leaf=0.0423403606 +0:[f65<0.309998602] yes=1,no=2,missing=2 + 1:leaf=0.739876926 + 2:[f318<0.172593743] yes=3,no=4,missing=4 + 3:leaf=-0.0229104403 + 4:leaf=-0.703690052 booster[52]: -0:leaf=0.000538185181 +0:leaf=0.130310327 booster[53]: -0:[f60<0.0341453478] yes=1,no=2,missing=2 - 1:leaf=0.0992323831 - 2:leaf=-0.116487078 +0:[f428<0.169331402] yes=1,no=2,missing=2 + 1:leaf=-0.392787576 + 2:leaf=0.419829011 booster[54]: -0:[f91<0.00899621192] yes=1,no=2,missing=2 - 1:leaf=-0.117201962 - 2:leaf=0.0840489417 +0:leaf=-0.0839198232 booster[55]: -0:[f85<0.000542578113] yes=1,no=2,missing=2 - 1:[f78<0.0318066962] yes=3,no=4,missing=4 - 3:leaf=-0.0343049392 - 4:leaf=0.163552389 - 2:leaf=-0.113592722 +0:[f58<0.00216070865] yes=1,no=2,missing=2 + 1:[f68<0.886882722] yes=3,no=4,missing=4 + 3:leaf=0.0366720669 + 4:leaf=0.546127856 + 2:leaf=-0.337356985 booster[56]: -0:[f443<0.0974542573] yes=1,no=2,missing=2 - 1:[f186<0.00283330702] yes=3,no=4,missing=4 - 3:leaf=-0.0673530996 - 4:[f182<0.0780843347] yes=5,no=6,missing=6 - 5:leaf=0.197955459 - 6:leaf=0.0340558849 - 2:leaf=-0.131139934 +0:[f436<0.0922832116] yes=1,no=2,missing=2 + 1:[f188<0.463673383] yes=3,no=4,missing=4 + 3:leaf=-0.178408608 + 4:leaf=0.631894886 + 2:leaf=-0.626312375 booster[57]: -0:leaf=0.00858247653 +0:leaf=0.155400068 booster[58]: -0:[f60<0.0341453478] yes=1,no=2,missing=2 - 1:leaf=0.0697831661 - 2:leaf=-0.0930704698 +0:leaf=0.247760579 booster[59]: -0:[f191<0.119760476] yes=1,no=2,missing=2 - 1:leaf=0.0769971833 - 2:leaf=-0.105873823 +0:[f446<0.144030347] yes=1,no=2,missing=2 + 1:leaf=0.612641275 + 2:leaf=-0.548725605 booster[60]: -0:[f188<0.00299071311] yes=1,no=2,missing=2 - 1:leaf=0.100825779 - 2:leaf=-0.0659725666 +0:[f58<0.927242875] yes=1,no=2,missing=2 + 1:[f195<0.189571828] yes=3,no=4,missing=4 + 3:leaf=-0.0180547331 + 4:leaf=-0.478642046 + 2:leaf=0.997799635 booster[61]: -0:[f82<0.156536818] yes=1,no=2,missing=2 - 1:[f68<0.00254074251] yes=3,no=4,missing=4 - 3:leaf=-0.0103040524 - 4:leaf=0.163746133 - 2:[f82<1.22081995] yes=5,no=6,missing=6 - 5:leaf=-0.174394935 - 6:leaf=0.0320722349 +0:[f87<0.0399737544] yes=1,no=2,missing=2 + 1:leaf=0.442117065 + 2:leaf=-0.585561514 booster[62]: -0:leaf=-0.00528587122 +0:[f319<3.99797893] yes=1,no=2,missing=2 + 1:leaf=-0.394323021 + 2:leaf=0.234927416 booster[63]: -0:leaf=-0.0202977192 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3:leaf=0.41797024 + 4:leaf=-0.104700685 + 2:leaf=-0.294257462 +booster[71]: +0:[f87<0.00254154997] yes=1,no=2,missing=2 + 1:leaf=-0.659140944 + 2:leaf=0.206559569 +booster[72]: +0:[f449<0.68928951] yes=1,no=2,missing=2 + 1:leaf=-0.125212952 + 2:leaf=0.329967231 +booster[73]: +0:[f446<0.613981783] yes=1,no=2,missing=2 + 1:leaf=0.29865256 + 2:leaf=-0.392374843 +booster[74]: +0:leaf=0.235877275 +booster[75]: +0:[f77<0.990853667] yes=1,no=2,missing=2 + 1:leaf=-0.334794044 + 2:leaf=0.0307995155 +booster[76]: +0:[f187<0.70175612] yes=1,no=2,missing=2 + 1:leaf=-0.234293312 + 2:leaf=0.359858423 +booster[77]: +0:[f451<0.546731591] yes=1,no=2,missing=2 + 1:leaf=-0.341680676 + 2:leaf=0.28513822 +booster[78]: +0:[f420<1.06860554] yes=1,no=2,missing=2 + 1:leaf=-0.425027251 + 2:leaf=0.535925448 +booster[79]: +0:[f313<0.00554144522] yes=1,no=2,missing=2 + 1:leaf=-0.239411026 + 2:leaf=0.839625657 +booster[80]: +0:[f72<3.25559115] yes=1,no=2,missing=2 + 1:[f65<0.107412875] yes=3,no=4,missing=4 + 3:leaf=0.0247959439 + 4:leaf=-0.279670805 + 2:leaf=0.543463826 +booster[81]: +0:[f194<0.928785443] yes=1,no=2,missing=2 + 1:[f61<0.0662841648] yes=3,no=4,missing=4 + 3:leaf=-0.403669536 + 4:leaf=0.0223644767 + 2:leaf=0.668486118 +booster[82]: +0:leaf=0 +booster[83]: +0:leaf=0.238602668 +booster[84]: +0:leaf=-0.372457713 +booster[85]: +0:[f68<0.372667551] yes=1,no=2,missing=2 + 1:leaf=0.760666311 + 2:leaf=-0.181681424 +booster[86]: +0:[f197<0.00720387883] yes=1,no=2,missing=2 + 1:[f186<0.00283330702] yes=3,no=4,missing=4 + 3:leaf=0.027232714 + 4:leaf=0.478941858 + 2:[f83<0.659115195] yes=5,no=6,missing=6 + 5:leaf=-0.64958328 + 6:leaf=-0.145912141 +booster[87]: +0:leaf=-0.226252496 +booster[88]: +0:[f84<0.0242106579] yes=1,no=2,missing=2 + 1:leaf=0.268600702 + 2:leaf=-0.367298663 +booster[89]: +0:leaf=-0.0895910263 +booster[90]: +0:[f62<1.59131598] yes=1,no=2,missing=2 + 1:[f72<1.9127804] yes=3,no=4,missing=4 + 3:leaf=-0.490935653 + 4:leaf=-0.0581952594 + 2:leaf=0.45694989 +booster[91]: 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2:leaf=-0.32620433 +booster[100]: +0:leaf=-0.158323571 +booster[101]: +0:[f316<0.0978942961] yes=1,no=2,missing=2 + 1:[f181<0.311015755] yes=3,no=4,missing=4 + 3:leaf=0.40385139 + 4:leaf=-0.172112226 + 2:leaf=-0.824565172 +booster[102]: +0:leaf=0.148181856 +booster[103]: +0:leaf=0.278944641 +booster[104]: +0:[f79<1.53718245] yes=1,no=2,missing=2 + 1:leaf=0.190652668 + 2:leaf=-0.269898951 +booster[105]: +0:[f312<0.279267788] yes=1,no=2,missing=2 + 1:leaf=0.0680199638 + 2:leaf=-0.338387311 +booster[106]: +0:[f205<0.689256728] yes=1,no=2,missing=2 + 1:leaf=-0.167301729 + 2:leaf=0.39944607 +booster[107]: +0:leaf=0 +booster[108]: +0:[f61<0.136278391] yes=1,no=2,missing=2 + 1:leaf=0.271934539 + 2:leaf=-0.35588178 +booster[109]: +0:leaf=-0.112803891 +booster[110]: +0:[f325<0.00237114681] yes=1,no=2,missing=2 + 1:leaf=0.34350872 + 2:leaf=-0.358963579 +booster[111]: +0:[f58<0.092180863] yes=1,no=2,missing=2 + 1:leaf=0.403366834 + 2:leaf=-0.370072693 +booster[112]: +0:leaf=-0.347817451 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2:leaf=0.59685421 +booster[127]: +0:leaf=0.181603253 +booster[128]: +0:leaf=-0.105346859 +booster[129]: +0:leaf=0.0165106244 +booster[130]: +0:[f65<0.460513562] yes=1,no=2,missing=2 + 1:leaf=0.594037771 + 2:leaf=-0.266176432 +booster[131]: +0:[f56<0.102305673] yes=1,no=2,missing=2 + 1:[f437<0.0203389823] yes=3,no=4,missing=4 + 3:leaf=-0.0557907969 + 4:leaf=0.589171112 + 2:leaf=-0.892551124 +booster[132]: +0:leaf=-0.117940888 +booster[133]: +0:leaf=0.195106849 +booster[134]: +0:leaf=-0.193403125 +booster[135]: +0:leaf=-0.125377476 +booster[136]: +0:[f196<0.126033053] yes=1,no=2,missing=2 + 1:leaf=-0.434828341 + 2:leaf=0.186503962 +booster[137]: +0:leaf=0 +booster[138]: +0:[f67<0.0724484548] yes=1,no=2,missing=2 + 1:leaf=0.47110939 + 2:leaf=-0.198572263 +booster[139]: +0:leaf=0.24175784 +booster[140]: +0:leaf=-0.312530905 +booster[141]: +0:[f323<0.938569486] yes=1,no=2,missing=2 + 1:leaf=0.0131518431 + 2:leaf=-0.467352241 +booster[142]: +0:leaf=-0.181658357 +booster[143]: +0:leaf=0 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1:leaf=0.252019376 + 2:leaf=-0.015752092 +booster[177]: +0:leaf=0 +booster[178]: +0:[f68<0.231347606] yes=1,no=2,missing=2 + 1:leaf=0.31809473 + 2:leaf=-0.266782284 +booster[179]: +0:leaf=0 +booster[180]: +0:leaf=0 +booster[181]: +0:leaf=-0.103835225 +booster[182]: +0:leaf=0 +booster[183]: +0:[f312<0.010418239] yes=1,no=2,missing=2 + 1:leaf=0.346265495 + 2:leaf=-0.0911380053 +booster[184]: +0:leaf=-0.139149591 +booster[185]: +0:[f71<0.322188437] yes=1,no=2,missing=2 + 1:leaf=0.266529381 + 2:leaf=-0.135085791 +booster[186]: +0:[f307<0.069531247] yes=1,no=2,missing=2 + 1:leaf=0.262776971 + 2:leaf=-0.311238974 +booster[187]: +0:leaf=0 +booster[188]: +0:leaf=-0.140348941 +booster[189]: +0:leaf=0 +booster[190]: +0:[f78<1.81134725] yes=1,no=2,missing=2 + 1:leaf=-0.0686582103 + 2:leaf=0.370208353 +booster[191]: +0:leaf=-0.0573393553 +booster[192]: +0:leaf=0 +booster[193]: +0:leaf=-0.0490174778 +booster[194]: +0:leaf=-0.00832609367 +booster[195]: +0:leaf=-0.0127542997 +booster[196]: 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1:leaf=-0.262073219 + 2:leaf=0.311843216 +booster[236]: +0:leaf=-0.243169487 +booster[237]: +0:leaf=0 +booster[238]: +0:leaf=0.08254347 +booster[239]: +0:[f80<0.250347406] yes=1,no=2,missing=2 + 1:leaf=0.67415148 + 2:leaf=-0.216243863 +booster[240]: +0:leaf=0.169173226 +booster[241]: +0:[f189<0.370626152] yes=1,no=2,missing=2 + 1:leaf=-0.203993618 + 2:leaf=0.377635628 +booster[242]: +0:leaf=0 +booster[243]: +0:leaf=-0.0612060912 +booster[244]: +0:leaf=-0.23245509 +booster[245]: +0:leaf=-0.0484034009 +booster[246]: +0:[f80<0.222265631] yes=1,no=2,missing=2 + 1:leaf=0.243911162 + 2:leaf=-0.262701899 +booster[247]: +0:leaf=-0.209984094 +booster[248]: +0:leaf=-0.157820135 +booster[249]: +0:leaf=0 +booster[250]: +0:[f61<0.00647588493] yes=1,no=2,missing=2 + 1:leaf=0.0135222487 + 2:leaf=0.0574669503 +booster[251]: +0:[f434<0.0233385358] yes=1,no=2,missing=2 + 1:leaf=0.304569632 + 2:leaf=-0.395981133 +booster[252]: +0:leaf=0 +booster[253]: +0:[f63<0.950759828] yes=1,no=2,missing=2 + 1:leaf=0.319494158 + 2:leaf=-0.219853252 +booster[254]: +0:leaf=0 +booster[255]: +0:[f311<0.609375] yes=1,no=2,missing=2 + 1:leaf=0.0118538449 + 2:leaf=0.359045684 +booster[256]: +0:leaf=-0.255679101 +booster[257]: +0:leaf=0 +booster[258]: +0:leaf=0 +booster[259]: +0:leaf=0 +booster[260]: +0:leaf=0.162781611 +booster[261]: +0:leaf=0.0787618607 +booster[262]: +0:leaf=0 +booster[263]: +0:leaf=-0.124999516 +booster[264]: +0:[f56<0.00582402013] yes=1,no=2,missing=2 + 1:leaf=0.259242922 + 2:leaf=-0.264139593 +booster[265]: +0:[f437<0.0203389823] yes=1,no=2,missing=2 + 1:leaf=0.160480723 + 2:leaf=-0.300688267 +booster[266]: +0:[f436<0.0736677125] yes=1,no=2,missing=2 + 1:leaf=0.352146834 + 2:leaf=-0.217038572 +booster[267]: +0:leaf=0 +booster[268]: +0:leaf=0.260378629 +booster[269]: +0:leaf=-0.218969271 +booster[270]: +0:leaf=0.00579656987 +booster[271]: +0:leaf=-0.164750382 +booster[272]: +0:leaf=0 +booster[273]: +0:leaf=0.050133884 +booster[274]: +0:leaf=0 +booster[275]: 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yes=1,no=2,missing=2 + 1:leaf=0.12783353 + 2:leaf=-0.29163608 +booster[299]: +0:leaf=-0.213500947 +booster[300]: +0:leaf=0.0906879529 +booster[301]: +0:[f186<0.0555316396] yes=1,no=2,missing=2 + 1:leaf=0.363644809 + 2:leaf=-0.300976574 +booster[302]: +0:leaf=0 +booster[303]: +0:[f320<1.43377554] yes=1,no=2,missing=2 + 1:leaf=-0.102948442 + 2:leaf=0.324674129 +booster[304]: +0:leaf=0 +booster[305]: +0:leaf=0.0267060548 +booster[306]: +0:leaf=-0.132790521 +booster[307]: +0:leaf=-0.363579184 +booster[308]: +0:leaf=0.168703124 +booster[309]: +0:leaf=0 +booster[310]: +0:[f189<1.50265038] yes=1,no=2,missing=2 + 1:leaf=-0.0152510172 + 2:leaf=0.309961528 +booster[311]: +0:leaf=-0.0306581948 +booster[312]: +0:leaf=0 +booster[313]: +0:leaf=-0.155926406 +booster[314]: +0:leaf=0 +booster[315]: +0:leaf=-0.132180691 +booster[316]: +0:[f183<0.00805729628] yes=1,no=2,missing=2 + 1:leaf=-0.321083695 + 2:leaf=0.142538533 +booster[317]: +0:leaf=0 +booster[318]: +0:leaf=-0.0655456558 +booster[319]: 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2:leaf=-0.261830539 +booster[342]: +0:leaf=0 +booster[343]: +0:leaf=0 +booster[344]: +0:leaf=0.230893701 +booster[345]: +0:leaf=0.00481863786 +booster[346]: +0:[f428<0.0186915882] yes=1,no=2,missing=2 + 1:leaf=-0.0626903102 + 2:leaf=0.333191246 +booster[347]: +0:leaf=-0.355384171 +booster[348]: +0:leaf=0.00125494716 +booster[349]: +0:leaf=0.0436680056 +booster[350]: +0:leaf=0.0745423436 +booster[351]: +0:[f187<0.00168911414] yes=1,no=2,missing=2 + 1:leaf=-0.0845193341 + 2:leaf=0.207011238 +booster[352]: +0:leaf=0 +booster[353]: +0:leaf=0 +booster[354]: +0:[f73<1.25459063] yes=1,no=2,missing=2 + 1:leaf=-0.372717232 + 2:leaf=-0.0453739017 +booster[355]: +0:leaf=0.0879485831 +booster[356]: +0:leaf=0.231912121 +booster[357]: +0:leaf=0 +booster[358]: +0:leaf=0 +booster[359]: +0:leaf=-0.294127494 +booster[360]: +0:leaf=0.165816188 +booster[361]: +0:[f194<0.199226841] yes=1,no=2,missing=2 + 1:leaf=0.231085971 + 2:leaf=-0.153474078 +booster[362]: +0:leaf=0 +booster[363]: +0:leaf=0.139063969 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2:leaf=0.324248344 +booster[649]: +0:leaf=-0.21985285 +booster[650]: +0:leaf=-0.0447630286 +booster[651]: +0:leaf=-0.0337308757 +booster[652]: +0:leaf=0 +booster[653]: +0:leaf=-0.0128007708 +booster[654]: +0:leaf=0.105086111 +booster[655]: +0:leaf=0.0600714572 +booster[656]: +0:leaf=-0.0293469038 +booster[657]: +0:leaf=0 +booster[658]: +0:leaf=0 +booster[659]: +0:leaf=-0.296649992 +booster[660]: +0:leaf=-0.041189421 +booster[661]: +0:leaf=0.2145634 +booster[662]: +0:leaf=0 +booster[663]: +0:leaf=0 +booster[664]: +0:leaf=0.0717535317 +booster[665]: +0:leaf=0.0337947682 +booster[666]: +0:leaf=-0.193690389 +booster[667]: +0:leaf=0 +booster[668]: +0:leaf=0.059520442 +booster[669]: +0:leaf=0 +booster[670]: +0:leaf=-0.138662696 +booster[671]: +0:leaf=-0.0212818179 +booster[672]: +0:leaf=0 +booster[673]: +0:leaf=0.0249625184 +booster[674]: +0:leaf=0.572179735 +booster[675]: +0:leaf=0.0400350466 +booster[676]: +0:leaf=0.0267442241 +booster[677]: +0:leaf=0.219164521 +booster[678]: 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+0:[f192<0.398366272] yes=1,no=2,missing=2 + 1:leaf=0.171179324 + 2:leaf=-0.260447145 +booster[827]: +0:leaf=0 +booster[828]: +0:leaf=0 +booster[829]: +0:leaf=0.0433525778 +booster[830]: +0:leaf=-0.0276667252 +booster[831]: +0:leaf=0 +booster[832]: +0:leaf=-0.405350089 +booster[833]: +0:leaf=0 +booster[834]: +0:leaf=0.432347596 diff --git a/tabs/final_report.md b/tabs/final_report.md index 85fc3e9..b72e3f9 100644 --- a/tabs/final_report.md +++ b/tabs/final_report.md @@ -24,6 +24,9 @@ Members: Austin Barton, Karpagam Karthikeyan, Keyang Lu, Isabelle Murray, Aditya - [Dimensionality Reduction - t-SNE](#dimensionality-reduction---t-sne) - [Classification](#classification) - [**MusicNet** - Choice of Model and Algorithms:](#musicnet---choice-of-model-and-algorithms) + - [Decision Trees](#decision-trees) + - [Random Forests](#random-forests) + - [Gradient-Boosted Trees](#gradient-boosted-trees) - [**GTZAN** - Choice of Model and Algorithms:](#gtzan---choice-of-model-and-algorithms) - [Results and Discussion](#results-and-discussion) - [Discussion](#discussion) @@ -116,7 +119,137 @@ Here are the data points but in a 3-dimensional space reduced by t-SNE from the ### Classification #### **MusicNet** - Choice of Model and Algorithms: -**Chosen Model(s)**: We opted to only perform classification on the GTZAN dataset. MusicNet requires more thorough processing and either trimming the dataset down to obtain a better distribution of data by class or retrieving data manually. This is discussed more in the Discussion section. +**Chosen Model(s)**: We decided to use decision trees, random forests, and gradient-boosted trees for our models. + +#### Decision Trees +Methods in this section were inspired from a previous course taken, MATH 4210, and [sci-kit learn's documentation](https://scikit-learn.org/stable/auto_examples/tree/plot_cost_complexity_pruning.html). + +Before jumping to more complicated, expensive, and generally less interpretable models, we analyze the results of classification with a single decision tree. Undergoing a proper analysisa dn hyperparametrization of a single decision tree will provide us insight even if the model does not perform well. This will set us up for success and narrow hyperparameter search spaces in the subsequent models. + +We perform a search over the best value of the cost complexity pruning penalty. This is a penalty coefficient of the complexity of the decision tree, where complexity is measured by the number of leaves in a tree (very similar to ridge and LASSO regression). Below we can see how as we increase the cost complexity hyperparameter (alpha), the total imputiry of the leaves increases. + +drawing + +However, this does not mean the model is performing worse as the cost complexity penalty increases. As shown below, there is an optimal cost complexity penality found at around ~0.09 that results in the best test accuracy of the model. This is the cost complexity penalty we use for our decision tree. + +drawing + +We then fit our decision tree with the cost complexity hyperparameter described previously. The depth of our resulting tree is 10, providing insight for subsequent models as to how deep a tree should or should not be. The results of this tree are summarized below in a confusion matrix, training and testing accuracy, and F1 score. + +drawing + +Decision Tree Classifier +Training Accuracy: 1.0 +Test Accuracy: 0.6458333333333334 +Test F1-Score0.6475694444444445 + +We can see the model does actually quite well for how little training data there is and how poorly the data is distributed. This landmark shows that our processing algorithm for the MIDI is effective to at least some extent in distinguishing certain composers from others. + +#### Random Forests +| Hyperparameter | Description | Value(s) | +|-----------------------|------------------------------------------------------|------------------------| +| `n_estimators` | Number of boosting stages to be run | 100 | +| `max_depth` | Maximum depth of the individual trees | 13 | +| `max_features` | Number of features to consider for the best split | 1024 | +| `random_state` | Seed for random number generation | seed=42 | + +Since random forests in our case are very computationally feasible, and since our analysis of decision tree performance based on depth provides insight, we opted to search through what `max_depth` hyperparameter would perform the best. We experimentally found `max_depth` of 13 to work the best for random forests, in contrast to the best depth for a single decision tree to be 10. Our choice of `max_features` was based off the fact that many of the data samples are sparse in non-zero entries and only few contain more than 1024 entries (and not by much more) we felt 0.5 to be reasonable and through experimentation found it to be effective. + +Random Forest Classifier +Training Accuracy: 1.0 +Test Accuracy: 0.8541666666666666 +Test F1-Score0.8519282808470453 +Maximum depth of Random Forest: 13 + +#### Gradient-Boosted Trees +**Model 1 Hyperparameters**: +| Hyperparameter | Description | Value(s) | +|-----------------------|------------------------------------------------------|------------------------| +| `n_estimators` | Number of boosting stages to be run | 20 | +| `learning_rate` | Step size shrinkage to prevent overfitting | 0.8 | +| `max_depth` | Maximum depth of the individual trees | 10 | +| `subsample` | Proportion of features to consider for the best split| 0.5 | +| `objective` | The objective function this model is minimizing | `multi:softmax` | +| `early_stopping` | Stop training early if evaluation doesn't improve | None | +| `random_state` | Seed for random number generation | seed=42 | + +**Model 2 Hyperparameters**: +| Hyperparameter | Description | Value(s) | +|-----------------------|------------------------------------------------------|------------------------| +| `n_estimators` | Number of boosting stages to be run | 1000 | +| `learning_rate` | Step size shrinkage to prevent overfitting | 0.8 | +| `max_depth` | Maximum depth of the individual trees | 10 | +| `subsample` | Proportion of features to consider for the best split| 0.5 | +| `objective` | The objective function this model is minimizing | `multi:softmax` | +| `early_stopping` | Stop training early if evaluation doesn't improve | 100 | +| `random_state` | Seed for random number generation | seed=42 | + +We chose these hyperparameters based off of 1) The results from decision trees and random forests and 2) Our own experimentation searching through the space of possible hyperparameters. These 2 models are essentially the same, but we want to showcase how gradient-boosted trees, although effective, come to limits that adding more iterations will not fix. Our learning rate was tuned through experimentation and searching. The `max_depth` was experimented with and the results from random forests and decision trees helped guide this selection. We found that including all the features in our model reduced performance and results in the models overfitting extremely fast. Because many of the row vectors are sparse and only few containing more than 1000 entries, we felt 0.5 to be reasonable and through experimentation found it to be effective. + +- **Boosted-Decision Trees Training Results** +Model 1 Training Table: +| Iteration | Train AUC | Train Misclassification Error | Eval AUC | Eval Misclassification Error | +|-----------|-----------|-------------------------------|----------|-------------------------------| +| 0 | 0.86054 | 0.36111 | 0.77116 | 0.52083 | +| 1 | 0.93284 | 0.21528 | 0.82366 | 0.47917 | +| 2 | 0.95528 | 0.19444 | 0.84713 | 0.29167 | +| 3 | 0.96822 | 0.17361 | 0.88281 | 0.25000 | +| 4 | 0.97271 | 0.15972 | 0.88940 | 0.31250 | +| 5 | 0.97109 | 0.13889 | 0.90380 | 0.33333 | +| 6 | 0.97126 | 0.15278 | 0.89037 | 0.29167 | +| 7 | 0.97764 | 0.13889 | 0.90454 | 0.27083 | +| 8 | 0.97766 | 0.12500 | 0.92452 | 0.22917 | +| 9 | 0.98132 | 0.12500 | 0.90117 | 0.31250 | +| 10 | 0.98462 | 0.12500 | 0.92574 | 0.25000 | +| 11 | 0.98734 | 0.11806 | 0.92663 | 0.22917 | +| 12 | 0.98723 | 0.08333 | 0.92991 | 0.20833 | +| 13 | 0.98879 | 0.07639 | 0.93026 | 0.22917 | +| 14 | 0.99139 | 0.06944 | 0.93374 | 0.22917 | +| 15 | 0.99309 | 0.07639 | 0.93643 | 0.22917 | +| 16 | 0.99436 | 0.07639 | 0.93824 | 0.20833 | +| 17 | 0.99524 | 0.04861 | 0.93467 | 0.22917 | +| 18 | 0.99714 | 0.05556 | 0.93164 | 0.20833 | +| 19 | 0.99742 | 0.03472 | 0.93645 | 0.20833 | + +Test results: +XGBoost Classifier - 20 estimators, max_depth of 10, learning rate of 0.8, softmax objective function. +Training Accuracy: 0.9652777777777778 +Test Accuracy: 0.8541666666666666 +Test F1-Score0.8519282808470453 + +drawing + +Model 2 Training Table: +| Iteration | Train AUC | Train Misclassification Error | Eval AUC | Eval Misclassification Error | +|-----------|-----------|-------------------------------|----------|-------------------------------| +| 0 | 0.85925 | 0.36111 | 0.77116 | 0.52083 | +| 1 | 0.92848 | 0.22917 | 0.84076 | 0.41667 | +| 2 | 0.94987 | 0.20833 | 0.87133 | 0.27083 | +| 3 | 0.95769 | 0.18056 | 0.89643 | 0.25000 | +| 4 | 0.96958 | 0.15972 | 0.88770 | 0.22917 | +| 5 | 0.96794 | 0.15278 | 0.90044 | 0.31250 | +| 6 | 0.97244 | 0.11806 | 0.88905 | 0.33333 | +| 7 | 0.97616 | 0.11806 | 0.87536 | 0.33333 | +| 8 | 0.98422 | 0.10417 | 0.88341 | 0.33333 | +| 9 | 0.98428 | 0.10417 | 0.88773 | 0.27083 | +| 10 | 0.98491 | 0.09028 | 0.89605 | 0.25000 | +| ... | ... | ... | ... | ... | +| 160 | 0.99983 | 0.00694 | 0.91817 | 0.22917 | +| 161 | 0.99983 | 0.00694 | 0.91692 | 0.22917 | +| 162 | 0.99983 | 0.00694 | 0.91692 | 0.25000 | +| 163 | 0.99983 | 0.00694 | 0.91742 | 0.18750 | +| 164 | 0.99983 | 0.00694 | 0.91742 | 0.18750 | +| 165 | 0.99983 | 0.00694 | 0.91519 | 0.25000 | +| 166 | 0.99983 | 0.00694 | 0.91418 | 0.25000 | + +XGBoost Classifier - 1000 estimators, max_depth of 10, learning rate of 0.8, softmax objective function. +Training Accuracy: 0.9930555555555556 +Test Accuracy: 0.8541666666666666 +Test F1-Score0.8519282808470453 + +drawing + +As we can see, training the model more does not result in better performance. This is a prime example of overfitting, but the main takeaway is that there are more efficient ways to do things. #### **GTZAN** - Choice of Model and Algorithms: **Chosen Model(s)**: @@ -163,7 +296,7 @@ F1 Scores, confusion matrix, etc. | Contributor Name | Contribution Type | |------------------------|----------------------------------------| -| Austin Barton | MusicNet Data Pre-Processing, MusicNet PCA, MIDI Parsing, Data Visualization, GitHub Pages| +| Austin Barton | MusicNet Data Pre-Processing, MusicNet PCA, t-SNE, CNN framework, Decision Trees Random Forests, Gradient-boosted trees, Figure generation and analysis, MIDI Parsing, Data Visualization, EDA, GitHub Pages| | Aditya Radhakrishnan | Model Design & Implementation, Development/Iteration, Validation, Testing, Results Generation & Visualization, and Early Dataset Balancing Exploration | | Isabelle Murray | GanttChart, Model Implementation/development, Testing, Results Generation & Visualization | | Karpagam Karthikeyan | GanttChart, MusicNet Data Pre-Processing, Github Pages, Data Visualization, MIDI Parsing |