基于逻辑回归实现乳腺癌预测

# 基于逻辑回归实现乳腺癌预测
from sklearn.datasets import load_breast_cancer
from sklearn.linear_model import LogisticRegression
from sklearn.model_selection import train_test_split
cancer=load_breast_cancer()
X_train,X_test,y_train,y_test=train_test_split(cancer.data,cancer.target,test_size=0.2)
model=LogisticRegression(max_iter=10000)
model.fit(X_train,y_train)
train_score=model.score(X_train,y_train)
test_score=model.score(X_test,y_test)
print('train_score:{train_score:.6f};test_score:{test_score:.6f}'.format(train_score=train_score,test_score=test_score))

train_score:0.960440;test_score:0.964912

# 模型评估
from sklearn.metrics import recall_score
from sklearn.metrics import precision_score
from sklearn.metrics import classification_report
from sklearn.metrics import accuracy_score
y_pred=model.predict(X_test)
accuracy_score_value=accuracy_score(y_test,y_pred)
recall_score_value=recall_score(y_test,y_pred)
precision_score_value=precision_score(y_test,y_pred)
classification_report_value=classification_report(y_test,y_pred)
print("准确率:",accuracy_score_value)
print("召回率:",recall_score_value)
print("精确率:",precision_score_value)
print(classification_report_value)

基于k-近邻算法实现鸢尾花分类

from sklearn.datasets import load_iris
from sklearn.model_selection import train_test_split
from sklearn.neighbors import KNeighborsClassifier as KNN
iris=load_iris()
x_train,x_test,y_train,y_test=train_test_split(iris.data[:,[1,3]],iris.target)
model=KNN()# 默认n_neighbors=5
model.fit(x_train,y_train)
train_score=model.score(x_train,y_train)
test_score=model.score(x_test,y_test)
print("train_score",train_score)
print("test_score",test_score)

train_score 0.9553571428571429
test_score 0.9736842105263158

基于决策树实现葡萄酒分类

from sklearn.datasets import load_wine
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeClassifier
wine=load_wine()
x_train,x_test,y_train,y_test=train_test_split(wine.data,wine.target)
clf=DecisionTreeClassifier(criterion="entropy")
clf.fit(x_train,y_train)
train_score=clf.score(x_train,y_train)
test_score=clf.score(x_test,y_test)
print("train_score",train_score)
print("test_score",test_score)

train_score 1.0
test_score 0.9333333333333333

基于朴素贝叶斯实现垃圾短信分类

# 加载SMS垃圾短信数据集
with open('./SMSSpamCollection.txt','r',encoding='utf8') as f:
    sms=[line.split('\t') for line in f]
y,x=zip(*sms)

# SMS垃圾短信数据集特征提取
from sklearn.feature_extraction.text import CountVectorizer as CV
from sklearn.model_selection import train_test_split
y=[label=='spam' for label in y]
x_train,x_test,y_train,y_test=train_test_split(x,y)
counter=CV(token_pattern='[a-zA-Z]{2,}')
x_train=counter.fit_transform(x_train)
x_test=counter.transform(x_test)

from sklearn.naive_bayes import MultinomialNB as NB
model=NB()
model.fit(x_train,y_train)
train_score=model.score(x_train,y_train)
test_score=model.score(x_test,y_test)
print("train_score",train_score)
print("test_score",test_score)

train_score 0.9925837320574162
test_score 0.9878048780487805

基于支持向量机实现葡萄酒分类

from sklearn.datasets import load_wine
from sklearn.model_selection import train_test_split
from sklearn.svm import SVC
wine=load_wine()
x_train,x_test,y_train,y_test=train_test_split(wine.data,wine.target)
model=SVC(kernel='linear')
model.fit(x_train,y_train)
train_score=model.score(x_train,y_train)
test_score=model.score(x_test,y_test)
print("train_score",train_score)
print("test_score",test_score)

kernel参数：

1. linear：线性核函数
2. poly：多项式核函数
3. rbf：径向基核函数/高斯核
4. sigmod：sigmod核函数
5. precomputed：提前计算好核函数矩阵

train_score 0.9924812030075187
test_score 1.0

基于高斯混合模型实现鸢尾花分类

from scipy import stats
from sklearn.datasets import load_iris
from sklearn.mixture import GaussianMixture as GMM
import matplotlib.pyplot as plt
iris=load_iris()
model=GMM(n_components=3)
pred=model.fit_predict(iris.data)
print(score(pred,iris.target))
def score(pred,gt):
    assert len(pred)==len(gt)
    m=len(pred)
    map_={}
    for c in set(pred):
        map_[c]=stats.mode(gt[pred==c])[0]
    score=sum([map_[pred[i]]==gt[i] for i in range(m)])
    return score[0]/m
_,axes=plt.subplots(1,2)
axes[0].set_title("ground truth")
axes[1].set_title("prediction")
for target in range(3):
    axes[0].scatter(
        iris.data[iris.target==target,1],
        iris.data[iris.target==target,3],
    )
    axes[1].scatter(
        iris.data[pred==target,1],
        iris.data[pred==target,3],
    )
plt.show()

0.9666666666666667

基于主成分分析实现鸢尾花数据降维

# 鸢尾花数据集加载与归一化
from sklearn.datasets import load_iris
from sklearn.preprocessing import scale
iris=load_iris()
data,target=scale(iris.data),iris.target

# PCA降维鸢尾花数据集
from sklearn.decomposition import PCA
pca=PCA(n_components=2)
y=pca.fit_transform(data)

基于奇异值分解实现图片压缩

import numpy as np
from PIL import Image
class SVD:
    def __init__(self,img_path):
        with Image.open(img_path) as img:
            img=np.asarray(img.convert('L'))
        self.U,self.Sigma,self.VT=np.linalg.svd(img)
    def compress_img(self,k:"# singular value") -> "img":
        return self.U[:,:k] @ np.diag(self.Sigma[:k]) @ self.VT[:k,:]
model=SVD('./可莉.jpg')
result=[
    Image.fromarray(model.compress_img(i))
    for i in [1,10,20,50,100,500]
]

import matplotlib.pyplot as plt
for i in range(6):
    plt.subplot(2,3,i+1)
    plt.imshow(result[i])
    plt.axis('off')
plt.show()