推荐 :利用Python的混合集成机器学习(附链接)
混合集成是一种叠加,在这种叠加中,元模型是通过对一个保留验证数据集的预测而不是折外数据集的预测来拟合的。
如何开发一个混合集成,包括训练模型和对新数据进行预测的功能。
如何评价用于分类和回归预测建模问题的混合集成。
混合集成
开发混合集成
用于分类的混合集成
用于回归的混合集成
“许多机器学习实践者已经成功地使用叠加和相关技术来提高预测精度,超过任何单个模型所获得的水平。在某些情况下,堆叠也被称为混合,在这里我们将交替使用这两个术语。” 特征加权线性叠加,2009年。
0级模型(基础模型):基于训练数据训练模型用来进行预测。
1级模型(元模型):学习如何最好地结合基本模型的预测的模型。
混合集成:使用线性模型,如线性回归或逻辑回归,作为叠加集成中的元模型。
“我们的RMSE=0.8643^2解是100多个结果的线性混合.……在对方法的描述中,我们强调了参与最终混合解决方案的特定预测器。” - 2008年Netflix大奖的BellKor解决方案
混合(blending):堆叠类型的集成,其中元模型是根据对保留的验证数据集的预测进行训练的。
堆叠(stacking):堆叠式集成,在k-fold交叉验证过程中,元模型根据折外预测进行训练。
“Blend(混合)这个词是由Netflix的获胜者们提出的。它非常接近堆叠泛化,但更简单,信息泄漏的风险更小。…使用混合,而不是为训练集创建折外数据集预测,您创建一个小的保留数据集,比如10%的训练集。然后堆叠模型只在这个保留集合上运行。” -《Kaggle Ensemble Guide》,MLWave, 2015。
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC(probability=True)))
models.append(('bayes', GaussianNB()))
return models
...
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict(X_val)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store predictions as input for blending
meta_X.append(yhat)
...
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
...
# define blending model
blender = LogisticRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict(X_val)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LogisticRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for name, model in models:
# predict with base model
yhat = model.predict(X_test)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# test classification dataset
from sklearn.datasets import make_classification
# define dataset
X, y = make_classification(n_samples=10000, n_features=20, n_informative=15, n_redundant=5, random_state=7)
# summarize the dataset
print(X.shape, y.shape)
|
...
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# split training set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X_train_full, y_train_full, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s, Test: %s' % (X_train.shape, X_val.shape, X_test.shape))
...
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make predictions on test set
yhat = predict_ensemble(models, blender, X_test)
...
# evaluate predictions
score = accuracy_score(y_test, yhat)
print('Blending Accuracy: %.3f' % score)
将这些整合在一起,下面列出了在二分类问题上评估混合集成的完整例子。
# blending ensemble for classification using hard voting
from numpy import hstack
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score
from sklearn.linear_model import LogisticRegression
from sklearn.neighbors import KNeighborsClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn.svm import SVC
from sklearn.naive_bayes import GaussianNB
# get the dataset
def get_dataset():
X, y = make_classification(n_samples=10000, n_features=20, n_informative=15, n_redundant=5, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC()))
models.append(('bayes', GaussianNB()))
return models
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict(X_val)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LogisticRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for name, model in models:
# predict with base model
yhat = model.predict(X_test)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# define dataset
X, y = get_dataset()
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# split training set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X_train_full, y_train_full, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s, Test: %s' % (X_train.shape, X_val.shape, X_test.shape))
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make predictions on test set
yhat = predict_ensemble(models, blender, X_test)
# evaluate predictions
score = accuracy_score(y_test, yhat)
print('Blending Accuracy: %.3f' % (score*100))
Train: (3350, 20), Val: (1650, 20), Test: (5000, 20)
Blending Accuracy: 97.900
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC(probability=True)))
models.append(('bayes', GaussianNB()))
return models
...
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict_proba(X_val)
# store predictions as input for blending
meta_X.append(yhat)
...
# make predictions with base models
meta_X = list()
for name, model in models:
# predict with base model
yhat = model.predict_proba(X_test)
# store prediction
meta_X.append(yhat)
# blending ensemble for classification using soft voting
from numpy import hstack
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score
from sklearn.linear_model import LogisticRegression
from sklearn.neighbors import KNeighborsClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn.svm import SVC
from sklearn.naive_bayes import GaussianNB
# get the dataset
def get_dataset():
X, y = make_classification(n_samples=10000, n_features=20, n_informative=15, n_redundant=5, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC(probability=True)))
models.append(('bayes', GaussianNB()))
return models
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict_proba(X_val)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LogisticRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for name, model in models:
# predict with base model
yhat = model.predict_proba(X_test)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# define dataset
X, y = get_dataset()
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# split training set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X_train_full, y_train_full, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s, Test: %s' % (X_train.shape, X_val.shape, X_test.shape))
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make predictions on test set
yhat = predict_ensemble(models, blender, X_test)
# evaluate predictions
score = accuracy_score(y_test, yhat)
print('Blending Accuracy: %.3f' % (score*100))
Train: (3350, 20), Val: (1650, 20), Test: (5000, 20)
Blending Accuracy: 98.240
# evaluate base models on the entire training dataset
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score
from sklearn.linear_model import LogisticRegression
from sklearn.neighbors import KNeighborsClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn.svm import SVC
from sklearn.naive_bayes import GaussianNB
# get the dataset
def get_dataset():
X, y = make_classification(n_samples=10000, n_features=20, n_informative=15, n_redundant=5, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC(probability=True)))
models.append(('bayes', GaussianNB()))
return models
# define dataset
X, y = get_dataset()
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# summarize data split
print('Train: %s, Test: %s' % (X_train_full.shape, X_test.shape))
# create the base models
models = get_models()
# evaluate standalone model
for name, model in models:
# fit the model on the training dataset
model.fit(X_train_full, y_train_full)
# make a prediction on the test dataset
yhat = model.predict(X_test)
# evaluate the predictions
score = accuracy_score(y_test, yhat)
# report the score
print('>%s Accuracy: %.3f' % (name, score*100))
Train: (5000, 20), Test: (5000, 20)
>lr Accuracy: 87.800
>knn Accuracy: 97.380
>cart Accuracy: 88.200
>svm Accuracy: 98.200
>bayes Accuracy: 87.300
# example of making a prediction with a blending ensemble for classification
from numpy import hstack
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn.linear_model import LogisticRegression
from sklearn.neighbors import KNeighborsClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn.svm import SVC
from sklearn.naive_bayes import GaussianNB
# get the dataset
def get_dataset():
X, y = make_classification(n_samples=10000, n_features=20, n_informative=15, n_redundant=5, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LogisticRegression()))
models.append(('knn', KNeighborsClassifier()))
models.append(('cart', DecisionTreeClassifier()))
models.append(('svm', SVC(probability=True)))
models.append(('bayes', GaussianNB()))
return models
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for _, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict_proba(X_val)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LogisticRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for _, model in models:
# predict with base model
yhat = model.predict_proba(X_test)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# define dataset
X, y = get_dataset()
# split dataset set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s' % (X_train.shape, X_val.shape))
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make a prediction on a new row of data
row = [-0.30335011, 2.68066314, 2.07794281, 1.15253537, -2.0583897, -2.51936601, 0.67513028, -3.20651939, -1.60345385, 3.68820714, 0.05370913, 1.35804433, 0.42011397, 1.4732839, 2.89997622, 1.61119399, 7.72630965, -2.84089477, -1.83977415, 1.34381989]
yhat = predict_ensemble(models, blender, [row])
# summarize prediction
print('Predicted Class: %d' % (yhat))
Train: (6700, 20), Val: (3300, 20)
Predicted Class: 1
# test regression dataset
from sklearn.datasets import make_regression
# define dataset
X, y = make_regression(n_samples=10000, n_features=20, n_informative=10, noise=0.3, random_state=7)
# summarize the dataset
print(X.shape, y.shape)
# get a list of base models
def get_models():
models = list()
models.append(('lr', LinearRegression()))
models.append(('knn', KNeighborsRegressor()))
models.append(('cart', DecisionTreeRegressor()))
models.append(('svm', SVR()))
return models
...
# define blending model
blender = LinearRegression()
...
# evaluate predictions
score = mean_absolute_error(y_test, yhat)
print('Blending MAE: %.3f' % score)
# evaluate blending ensemble for regression
from numpy import hstack
from sklearn.datasets import make_regression
from sklearn.model_selection import train_test_split
from sklearn.metrics import mean_absolute_error
from sklearn.linear_model import LinearRegression
from sklearn.neighbors import KNeighborsRegressor
from sklearn.tree import DecisionTreeRegressor
from sklearn.svm import SVR
# get the dataset
def get_dataset():
X, y = make_regression(n_samples=10000, n_features=20, n_informative=10, noise=0.3, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LinearRegression()))
models.append(('knn', KNeighborsRegressor()))
models.append(('cart', DecisionTreeRegressor()))
models.append(('svm', SVR()))
return models
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for name, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict(X_val)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LinearRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for name, model in models:
# predict with base model
yhat = model.predict(X_test)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# define dataset
X, y = get_dataset()
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# split training set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X_train_full, y_train_full, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s, Test: %s' % (X_train.shape, X_val.shape, X_test.shape))
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make predictions on test set
yhat = predict_ensemble(models, blender, X_test)
# evaluate predictions
score = mean_absolute_error(y_test, yhat)
print('Blending MAE: %.3f' % score)
运行示例首先报告训练、验证和测试数据集的形状,然后是测试数据集上集成的MAE。
Train: (3350, 20), Val: (1650, 20), Test: (5000, 20)
Blending MAE: 0.237
# evaluate base models in isolation on the regression dataset
from numpy import hstack
from sklearn.datasets import make_regression
from sklearn.model_selection import train_test_split
from sklearn.metrics import mean_absolute_error
from sklearn.linear_model import LinearRegression
from sklearn.neighbors import KNeighborsRegressor
from sklearn.tree import DecisionTreeRegressor
from sklearn.svm import SVR
# get the dataset
def get_dataset():
X, y = make_regression(n_samples=10000, n_features=20, n_informative=10, noise=0.3, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LinearRegression()))
models.append(('knn', KNeighborsRegressor()))
models.append(('cart', DecisionTreeRegressor()))
models.append(('svm', SVR()))
return models
# define dataset
X, y = get_dataset()
# split dataset into train and test sets
X_train_full, X_test, y_train_full, y_test = train_test_split(X, y, test_size=0.5, random_state=1)
# summarize data split
print('Train: %s, Test: %s' % (X_train_full.shape, X_test.shape))
# create the base models
models = get_models()
# evaluate standalone model
for name, model in models:
# fit the model on the training dataset
model.fit(X_train_full, y_train_full)
# make a prediction on the test dataset
yhat = model.predict(X_test)
# evaluate the predictions
score = mean_absolute_error(y_test, yhat)
# report the score
print('>%s MAE: %.3f' % (name, score))
Train: (5000, 20), Test: (5000, 20)
>lr MAE: 0.236
>knn MAE: 100.169
>cart MAE: 133.744
>svm MAE: 138.195
# example of making a prediction with a blending ensemble for regression
from numpy import hstack
from sklearn.datasets import make_regression
from sklearn.model_selection import train_test_split
from sklearn.linear_model import LinearRegression
from sklearn.neighbors import KNeighborsRegressor
from sklearn.tree import DecisionTreeRegressor
from sklearn.svm import SVR
# get the dataset
def get_dataset():
X, y = make_regression(n_samples=10000, n_features=20, n_informative=10, noise=0.3, random_state=7)
return X, y
# get a list of base models
def get_models():
models = list()
models.append(('lr', LinearRegression()))
models.append(('knn', KNeighborsRegressor()))
models.append(('cart', DecisionTreeRegressor()))
models.append(('svm', SVR()))
return models
# fit the blending ensemble
def fit_ensemble(models, X_train, X_val, y_train, y_val):
# fit all models on the training set and predict on hold out set
meta_X = list()
for _, model in models:
# fit in training set
model.fit(X_train, y_train)
# predict on hold out set
yhat = model.predict(X_val)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store predictions as input for blending
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# define blending model
blender = LinearRegression()
# fit on predictions from base models
blender.fit(meta_X, y_val)
return blender
# make a prediction with the blending ensemble
def predict_ensemble(models, blender, X_test):
# make predictions with base models
meta_X = list()
for _, model in models:
# predict with base model
yhat = model.predict(X_test)
# reshape predictions into a matrix with one column
yhat = yhat.reshape(len(yhat), 1)
# store prediction
meta_X.append(yhat)
# create 2d array from predictions, each set is an input feature
meta_X = hstack(meta_X)
# predict
return blender.predict(meta_X)
# define dataset
X, y = get_dataset()
# split dataset set into train and validation sets
X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.33, random_state=1)
# summarize data split
print('Train: %s, Val: %s' % (X_train.shape, X_val.shape))
# create the base models
models = get_models()
# train the blending ensemble
blender = fit_ensemble(models, X_train, X_val, y_train, y_val)
# make a prediction on a new row of data
row = [-0.24038754, 0.55423865, -0.48979221, 1.56074459, -1.16007611, 1.10049103, 1.18385406, -1.57344162, 0.97862519, -0.03166643, 1.77099821, 1.98645499, 0.86780193, 2.01534177, 2.51509494, -1.04609004, -0.19428148, -0.05967386, -2.67168985, 1.07182911]
yhat = predict_ensemble(models, blender, [row])
# summarize prediction
print('Predicted: %.3f' % (yhat[0]))
Train: (6700, 20), Val: (3300, 20)
Predicted: 359.986
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