Python机器学习 Tensorflow + keras 实现CNN

news2024/12/25 9:14:56

一、实验目的

1. 了解SkLearn Tensorlow使用方法 

2. 了解SkLearn keras使用方法

二、实验工具:

1. SkLearn

三、实验内容 (贴上源码及结果)

 使用Tensorflow对半环形数据集分

#encoding:utf-8

import numpy as np

from sklearn.datasets import make_moons

import tensorflow as tf

from sklearn.model_selection import train_test_split

from tensorflow.keras import layers,Sequential,optimizers,losses, metrics

from tensorflow.keras.layers import Dense

import matplotlib.pyplot as plt

#产生一个半环形数据集

X,y= make_moons(200,noise=0.25,random_state=100)#划分训练集和测试集

X_train,X_test, y_train, y_test= train_test_split(X, y, test_size=0.25,random_state=2)

print(X.shape,y.shape)

def make_plot(X,y,plot_name,XX=None, YY=None, preds=None):

    plt.figure()

    axes = plt.gca()

    x_min=X[:,0].min()-1

    x_max=X[:,0].max()+ 1

    y_min=X[:,1].min()-1

    y_max=X[:,1].max()+ 1

    axes.set_xlim([x_min,x_max])

    axes.set_ylim([y_min,y_max])

    axes.set(xlabel="$x 1$",ylabel="$x 2$")



    if XX is None and YY is None and preds is None:

        yr = y.ravel()

        for step in range(X[:,0].size):

            if yr[step]== 1:plt.scatter(X[step,0],X[step,1],c='b',s=20,edgecolors='none',marker='x')

            else:

                plt.scatter(X[step,0],X[step,1],c='r',s=30,edgecolors='none',marker='o')

        plt.show()

    else:

        plt.contour(XX,YY,preds,cmap=plt.cm.spring,alpha=0.8)

        plt.scatter(X[:, 0], X[:, 1], c = y, s = 20, cmap=plt.cm.Greens, edgecolors = 'k')

        plt.rcParams['font.sans-serif'] =['SimHei']

        plt.rcParams['axes.unicode_minus'] = False

        plt.title(plot_name)

        plt.show()

    make_plot(X, y, None)

# 创建容器

model = Sequential()

# 创建第一层

model.add(Dense(8, input_dim = 2, activation = 'relu'))

for _ in range(3):

    model.add(Dense(32, activation='relu'))

# 创建最后一层,激活

model.add(Dense(1, activation='sigmoid'))

model.compile(loss='binary_crossentropy', optimizer='adam', metrics=['accuracy'])

history = model.fit(X_train, y_train, epochs = 30, verbose = 1)

# 绘制决策曲线

x_min = X[:,0].min() - 1

x_max = X[:, 0].max() + 1

y_min = X[:1].min() - 1

y_max = X[:, 1].max() + 1

XX, YY = np.meshgrid(np.arange(x_min, x_max, 0.01), np.arange(y_min, y_max, 0.01))

Z = np.argmax(model.predict(np.c_[XX.ravel(), YY.ravel()]), axis=-1)

preds =Z.reshape(XX.shape)

title = "分类结果"

make_plot(X_train, y_train, title, XX, YY, preds)

使用VGGNet 识别猫狗

from tensorflow import  keras                                

from keras.applications.resnet import ResNet50               

from keras.preprocessing import  image# #手写文字识别              

from  keras.applications.resnet import preprocess_input,decod

import  numpy as np# #载人 MNIST 数据集                           

from PIL import  ImageFont,ImageDraw,Image# #拆分数据集           

 # (x_train,y_train),(x_test,y_test)= mnist.load_data()      

 # #将样本进行预处理,并从整数转换为浮点数                                      

 # x_train,x_test=x_train/255.0,x_test /255.0                

img1=r'C:\Users\PDHuang\Downloads\ch11\dog.jpg'# #使用 tf.keras

img2=r'C:\Users\PDHuang\Downloads\ch11\cat.jpg'# model= tf.ke

img3=r'C:\Users\PDHuang\Downloads\ch11\deer.jpg'# tf.keras.la

weight_path=r'C:\Users\PDHuang\Downloads\ch11\resnet50_weight

img=image.load_img(img1,target_size=(224,224))#     tf.keras.

x=image.img_to_array(img)#     tf.keras.layers.Dense(10,activ

x=np.expand_dims(x,axis=0)# ])                               

x=preprocess_input(x)# #设置模型的优化器和损失函数                        

def get_model():# model.compile(optimizer='adam',loss='sparse

    model=ResNet50(weights=weight_path)# #训练并验证模型            

    print(model.summary())# model.fit(x_train,y_train,epochs=

    return model# model.evaluate(x_test,y_test,verbose=2)    

                                                             

model=get_model()                                            

#预测图片                                                        

preds=model.predict(x)                                       

#打印出top-5的结果                                                 

print('predicted',decode_predictions(preds,top=5)[0])        

使用深度学习进行手写数字识别

#手写文字识别                                    

import tensorflow as tf                    

#载人 MNIST 数据集                              

mnist= tf.keras.datasets.mnist             

#拆分数据集                                     

(x_train,y_train),(x_test,y_test)= mnist.lo

#将样本进行预处理,并从整数转换为浮点数                       

x_train,x_test=x_train/255.0,x_test /255.0

#使用 tf.keras.Sequential将模型的各层堆看,并设置参数      

model= tf.keras.models.Sequential([        

    tf.keras.layers.Flatten(input_shape=(28

    tf.keras.layers.Dense(128,activation='r

    tf.keras.layers.Dropout(0.2),          

    tf.keras.layers.Dense(10,activation='so

])                                         

#设置模型的优化器和损失函数                             

model.compile(optimizer='adam',loss='sparse

#训练并验证模型                                   

model.fit(x_train,y_train,epochs=5)        

model.evaluate(x_test,y_test,verbose=2)    

使用Tensorflow + keras 实现人脸识别

from os import listdir

import numpy as np

from PIL import Image

import cv2

from spyder.plugins.findinfiles.widgets.combobox import FILE_PATH

from tensorflow.keras.models import Sequential, load_model

from tensorflow.keras.layers import Dense, Activation, Convolution2D,MaxPooling2D,Flatten

from sklearn.model_selection import train_test_split

from tensorflow.python.keras.utils import np_utils

#读取人脸图片数据

def img2vector(fileNamestr):

#创建向量

    returnVect=np.zeros((57,47))

    image = Image.open(fileNamestr).convert('L')

    img=np.asarray(image).reshape(57,47)

    return img

#制作人脸数据集

def GetDataset(imgDataDir):

    print('| Step1 |: Get dataset...')

    imgDataDir='C:/Users/PDHuang/Downloads/ch11/faces_4/'

    FileDir=listdir(imgDataDir)

    m= len(FileDir)

    imgarray=[]

    hwLabels=[]

    hwdata=[]

#逐个读取文件

    for i in range(m):

        #提取子目录

        className=i

        subdirName='C:/Users/PDHuang/Downloads/ch11/faces_4/'+str(FileDir[i])+'/'

        fileNames= listdir(subdirName)

        lenFiles=len(fileNames)

        #提取文件名

        for j in range(lenFiles):

            fileNamestr=subdirName+fileNames[j]

            hwLabels.append(className)

            imgarray=img2vector(fileNamestr)

            hwdata.append(imgarray)

    hwdata= np.array(hwdata)

    return hwdata,hwLabels,6

# CNN 模型类

class MyCNN(object):

    FILE_PATH= 'C:/Users/PDHuang/Downloads/ch11/face_recognition.h5'

    picHeight=57

    picwidth=47

#模型存储/读取目录

#模型的人脸图片长47,宽57

    def __init__(self):

        self.model = None

#获取训练数据集

    def read_trainData(self,dataset):

        self.dataset=dataset

#建立 Sequential模型,并赋予参数

    def build_model(self):

        print('| step2 |:Init CNN model...')

        self.model=Sequential()

        print('self.dataset.x train.shape[1:]',self.dataset.X_train.shape[1:])

        self.model.add(Convolution2D(filters=32,

                                     kernel_size=(5,5),

                                     padding='same',

                                     #dim ordering='th',

                                     input_shape=self.dataset.X_train.shape[1:]))

        self.model.add(Activation('relu'))

        self.model.add(MaxPooling2D(pool_size=(2,2),

                                strides=(2,2),

                                padding='same'))

        self.model.add(Convolution2D(filters=64,

                                 kernel_size=(5,5),

                                 padding='same'))

        self.model.add(Activation('relu'))

        self.model.add(MaxPooling2D(pool_size=(2,2),

                                strides=(2,2),

                                padding='same'))

        self.model.add(Flatten())

        self.model.add(Dense(512))

        self.model.add(Activation('relu'))



        self.model.add(Dense(self.dataset.num_classes))

        self.model.add(Activation('softmax'))

        self.model.summary()



            # 模型训练

    def train_model(self):

        print('| Step3 l: Train CNN model...')

        self.model.compile(optimizer='adam', loss='categorical_crossentropy',metrics = ['accuracy'])



        # epochs:训练代次;batch size:每次训练样本数

        self.model.fit(self.dataset.X_train, self.dataset.Y_train, epochs=10,batch_size=20)

    def evaluate_model(self):

        loss, accuracy = self.model.evaluate(self.dataset.X_test, self.dataset.Y_test)

        print('|Step4|:Evaluate performance...')

        print('=------=---------------------=----')

        print('Loss Value is:', loss)

        print('Accuracy Value is :', accuracy)



    def save(self, file_path = FILE_PATH):

        print('| Step5 l: Save model...')

        self.model.save(file_path)

        print('Model',file_path, 'is successfully saved.')



    def predict(self, input_data):

        prediction = self.model.predict(input_data)

        return prediction

#建立一个用于存储和格式化读取训练数据的类



class DataSet(object):

    def __init__(self, path):

        self.num_classes = None

        self.X_train = None

        self.X_test = None

        self.Y_train = None

        self.Y_test = None

        self.picwidth=47

        self.picHeight=57

        self.makeDataSet(path)#在这个类初始化的过程中读取path下的训练数据

    def makeDataSet(self, path):#根据指定路径读取出图片、标签和类别数

        imgs,labels,classNum = GetDataset(path)

        #将数据集打乱随机分组

        X_train,X_test,y_train,y_test= train_test_split(imgs, labels, test_size=0.2,random_state=1)

        #重新格式化和标准化

        X_train=X_train.reshape(X_train.shape[0],1,self.picHeight, self.picwidth)/255.0

        X_test=X_test.reshape(X_test.shape[0],1,self.picHeight, self.picwidth)/255.0

        X_train=X_train.astype('float32')

        X_test=X_test.astype('float32')

        #将labels 转成 binary class matrices



        Y_train=np_utils.to_categorical(y_train, num_classes=classNum)

        Y_test =np_utils.to_categorical(y_test,num_classes=classNum)

        #将格式化后的数据赋值给类的属性上

        self.X_train=X_train

        self.X_test=X_test

        self.Y_train= Y_train

        self.Y_test = Y_test

        self.num_classes=classNum

#人脸图片目录

dataset= DataSet('C:/Users/PDHuang/Downloads/ch11/faces_4/')

model = MyCNN()

model.read_trainData(dataset)

model.build_model()

model.train_model()

model.evaluate_model()

model.save()



import os

import cv2

import numpy as np

from tensorflow.keras.models import load_model



hwdata =[]

hwLabels =[]

classNum = 0

picHeight=57

picwidth=47

#人物标签(编号 0~5)#图像高度

#图像宽度

#根据指定路径读取出图片、标签和类别数

hwdata,hwLabels,classNum= GetDataset('C:/Users/PDHuang/Downloads/ch11/faces_4/')

#加载模型

if os.path.exists('face recognition.h5'):

    model= load_model('face recognition.h5')

else:

    print('build model first')

#加载待判断图片

photo= cv2.imread('C:/Users/PDHuang/Downloads/ch11/who.jpg')

#待判断图片调整

resized_photo=cv2.resize(photo,(picHeight, picwidth)) #调整图像大小

recolord_photo=cv2.cvtColor(resized_photo, cv2.COLOR_BGR2GRAY)

#将图像调整成灰度图

recolord_photo= recolord_photo.reshape((1,1,picHeight,picwidth))

recolord_photo= recolord_photo/255

#人物预测

print('| Step3 |:Predicting......')

result = model.predict(recolord_photo)

max_index=np.argmax(result)

#显示结果

print('The predict result is Person',max_index+ 1)

cv2.namedWindow("testperson",0);

cv2.resizeWindow("testperson",300,350);

cv2.imshow('testperson',photo)

cv2.namedWindow("PredictResult",0);

cv2.resizeWindow("PredictResult",300,350);

cv2.imshow("predictResult",hwdata[max_index * 10])

#print(resultrile)

k= cv2.waitKey(0)

#按Esc 键直接退出

if k == 27:

    cv2.destroyWindow()

使用Tensorflow + keras 实现电影评论情感分类

# 导包

import matplotlib as mpl

import matplotlib.pyplot as plt

import numpy as np

import pandas as pd

import os



# 导入tf

import tensorflow as tf

from tensorflow import keras

print(tf.__version__)

print(keras.__version__)



# 加载数据集

# num_words:只取10000个词作为词表

imdb = keras.datasets.imdb

(train_x_all, train_y_all),(test_x, test_y)=imdb.load_data(num_words=10000)



# 查看数据样本数量

print("Train entries: {}, labels: {}".format(len(train_x_all), len(train_y_all)))

print("Train entries: {}, labels: {}".format(len(test_x), len(test_y)))



print(train_x_all[0])   # 查看第一个样本数据的内容



print(len(train_x_all[0]))  # 查看第一个和第二个训练样本的长度,不一致

print(len(train_x_all[1]))



# 构建字典  两个方法,一个是id映射到字,一个是字映射到id

word_index = imdb.get_word_index()



word2id = { k:(v+3) for k, v in word_index.items()}

word2id['<PAD>'] = 0

word2id['START'] = 1

word2id['<UNK>'] = 2

word2id['UNUSED'] = 3



id2word = {v:k for k, v in word2id.items()}



def get_words(sent_ids):

    return ' '.join([id2word.get(i, '?') for i in sent_ids])



sent = get_words(train_x_all[0])

print(sent)



# 句子末尾进行填充

train_x_all = keras.preprocessing.sequence.pad_sequences(

    train_x_all,

    value=word2id['<PAD>'],

    padding='post', #pre表示在句子前面填充, post表示在句子末尾填充

    maxlen=256

)



test_x = keras.preprocessing.sequence.pad_sequences(

    test_x,

    value=word2id['<PAD>'],

    padding='post',

    maxlen=256

)

print(train_x_all[0])

print(len(train_x_all[0]))

print(len(train_x_all[1]))



#模型编写

vocab_size = 10000

model = keras.Sequential()

model.add(keras.layers.Embedding(vocab_size, 16))

model.add(keras.layers.GlobalAveragePooling1D())

model.add(keras.layers.Dense(16, activation='relu'))

model.add(keras.layers.Dense(1, activation='sigmoid'))



model.summary()



model.compile(optimizer='adam', loss=keras.losses.binary_crossentropy, metrics=['accuracy'])



train_x, valid_x = train_x_all[10000:], train_x_all[:10000]

train_y, valid_y = train_y_all[10000:], train_y_all[:10000]



# callbacks Tensorboard, earlystoping, ModelCheckpoint

# 创建一个文件夹,用于放置日志文件

logdir = os.path.join("callbacks")

if not os.path.exists(logdir):

    os.mkdir(logdir)

output_model_file = os.path.join(logdir, "imdb_model.keras")



# 当训练模型到什么程度的时候,就停止执行 也可以直接不用,然后直接训练

callbacks = [

    # 保存的路径(使用TensorBoard就可以用命令,tensorboard --logdir callbacks 来分析结果)

    keras.callbacks.TensorBoard(logdir),

    # 保存最好的模型

    keras.callbacks.ModelCheckpoint(filepath=output_model_file, save_best_only=True),

    # 当精度连续5次都在1乘以10的-1次方之后停止训练

    keras.callbacks.EarlyStopping(patience=5, min_delta=1e-3)

]



history = model.fit(

                    train_x, train_y,

                    epochs=40,

                    batch_size=512,

                    validation_data=(valid_x, valid_y),

                    callbacks = callbacks,

                    verbose=1   # 设置为1就会打印日志到控制台,0就不打印

                   )



def plot_learing_show(history):

    pd.DataFrame(history.history).plot(figsize=(8,5))

    plt.grid(True)

    plt.gca().set_ylim(0,1)

    plt.show()



plot_learing_show(history)



result = model.evaluate(test_x, test_y)

print(result)



test_classes_list = model.predict_classes(test_x)

print(test_classes_list[1][0])

print(test_y[1])

使用Tensorflow + keras 解决 回归问题预测汽车燃油效率

# 导包

import matplotlib as mpl

import matplotlib.pyplot as plt

import numpy as np

import pandas as pd

import os



import pathlib

import seaborn as sns



# 导入tf

import tensorflow as tf

from tensorflow import keras



print(tf.__version__)

print(keras.__version__)



# 加载数据集

dataset_path = keras.utils.get_file('auto-mpg.data',

                                    "http://archive.ics.uci.edu/ml/machine-learning-databases/auto-mpg/auto-mpg.data")

print(dataset_path)



# 使用pandas导入数据集

column_names = ['MPG', 'Cylinders', 'Displacement', 'Horsepower', 'Weight', 'Acceleration', 'Model Year', 'Origin']



raw_dataset = pd.read_csv(dataset_path, names=column_names, na_values='?', comment='\t',

                          sep=' ', skipinitialspace=True)



dataset = raw_dataset.copy()

print(dataset.tail())



# 数据清洗

print(dataset.isna().sum())

dataset = dataset.dropna()

print(dataset.isna().sum())



# 将origin转换成one-hot编码

origin = dataset.pop('Origin')

dataset['USA'] = (origin == 1) * 1.0

dataset['Europe'] = (origin == 2) * 1.0

dataset['Japan'] = (origin == 3) * 1.0

print(dataset.tail())



# 拆分数据集 拆分成训练集和测试集

train_dataset = dataset.sample(frac=0.8, random_state=0)

test_dataset = dataset.drop(train_dataset.index)



# 总体数据统计

train_stats = train_dataset.describe()

train_stats.pop("MPG")

train_stats = train_stats.transpose()

print(train_stats)



# 从标签中分类特征

train_labels = train_dataset.pop('MPG')

test_labels = test_dataset.pop('MPG')



print(train_labels[0])





# 数据规范化

def norm(x):

    return (x - train_stats['mean']) / train_stats['std']





norm_train_data = norm(train_dataset)

norm_test_data = norm(test_dataset)





# 构建模型

def build_model():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', input_shape=[len(train_dataset.keys())]),

        keras.layers.Dense(256, activation='relu'),

        keras.layers.Dense(128, activation='relu'),

        keras.layers.Dense(64, activation='relu'),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model





# 构建防止过拟合的模型,加入正则项L1和L2

def build_model2():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001),

                           input_shape=[len(train_dataset.keys())]),

        keras.layers.Dense(256, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dense(128, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dense(64, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model



# 构建防止过拟合的模型,加入正则项L1

def build_model3():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', kernel_regularizer=keras.regularizers.l1(0.001),

                           input_shape=[len(train_dataset.keys())]),

        keras.layers.Dense(256, activation='relu', kernel_regularizer=keras.regularizers.l1(0.001)),

        keras.layers.Dense(128, activation='relu', kernel_regularizer=keras.regularizers.l1(0.001)),

        keras.layers.Dense(64, activation='relu', kernel_regularizer=keras.regularizers.l1(0.001)),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model



# 构建防止过拟合的模型,加入正则项L2

def build_model4():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', kernel_regularizer=keras.regularizers.l2(0.001),

                           input_shape=[len(train_dataset.keys())]),

        keras.layers.Dense(256, activation='relu', kernel_regularizer=keras.regularizers.l2(0.001)),

        keras.layers.Dense(128, activation='relu', kernel_regularizer=keras.regularizers.l2(0.001)),

        keras.layers.Dense(64, activation='relu', kernel_regularizer=keras.regularizers.l2(0.001)),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model





# 构建模型 使用dropout来防止过拟合

def build_model5():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', input_shape=[len(train_dataset.keys())]),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(256, activation='relu'),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(128, activation='relu'),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(64, activation='relu'),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model





# 构建模型  使用正则化L1和L2以及dropout来预测

def build_model6():

    model = keras.Sequential([

        keras.layers.Dense(512, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001),

                           input_shape=[len(train_dataset.keys())]),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(256, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(128, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(64, activation='relu', kernel_regularizer=keras.regularizers.l1_l2(0.001)),

        keras.layers.Dropout(0.5),

        keras.layers.Dense(1)

    ]

    )



    optimizer = keras.optimizers.RMSprop(0.001)



    model.compile(loss='mse', optimizer=optimizer, metrics=['mae', 'mse'])



    return model



model = build_model()

model.summary()



early_stop = keras.callbacks.EarlyStopping(monitor='val_loss', patience=200)

# 模型训练

history = model.fit(

    norm_train_data, train_labels, epochs=1000, validation_split=0.2, verbose=0, callbacks=[early_stop]

)







def plot_history(history):

    hist = pd.DataFrame(history.history)

    hist['epoch'] = history.epoch



    plt.figure()

    plt.xlabel('Epoch')

    plt.ylabel('Mean Abs ERROR [PMG]')

    plt.plot(hist['epoch'], hist['mae'], label='Train Error')

    plt.plot(hist['epoch'], hist['val_mae'], label='Val Error')

    plt.ylim([0, 5])

    plt.legend()



    plt.figure()

    plt.xlabel('Epoch')

    plt.ylabel('Mean Squaree ERROR [PMG]')

    plt.plot(hist['epoch'], hist['mse'], label='Train Error')

    plt.plot(hist['epoch'], hist['val_mse'], label='Val Error')

    plt.ylim([0, 20])

    plt.legend()



    plt.show()





plot_history(history)



# 看下测试集合的效果

loss, mae, mse = model.evaluate(norm_test_data, test_labels, verbose=2)

print(loss)

print(mae)

print(mse)



# 做预测

test_preditions = model.predict(norm_test_data)

test_preditions = test_preditions.flatten()

plt.scatter(test_labels, test_preditions)

plt.xlabel('True Values [MPG]')

plt.ylabel('Predictios [MPG]')

plt.axis('equal')

plt.axis('square')

plt.xlim([0, plt.xlim()[1]])

plt.ylim([0, plt.ylim()[1]])

_ = plt.plot([-100, 100], [-100, 100])



# 看一下误差分布

error = test_preditions - test_labels

plt.hist(error, bins=25)

plt.xlabel("Prediction Error [MPG]")

_ = plt.ylabel('Count')

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