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使用python进行Logistic regression分析及ROC曲线绘制

  • 2026-03-26 13:49:02
使用python进行Logistic regression分析及ROC曲线绘制

Logistic regression是一种结合了linear regression和logistic压缩函数的机器学习模型,压缩函数可以将负无穷到正无穷的输入压缩为0-1的输出,将其输出用作二分类模型的类别预测概率即可以实现将线性回归用于分类问题。线性回归可以通过梯度下降更新每个特征的权重系数从而缩小模型的预测误差,提升模型性能,但为了避免过拟合,一般在线性回归中需要加入惩罚项,L1惩罚项的含义为权重w每个元素绝对值的和。当惩罚项为L1时,可以使某些特征的权重系数为0,从而实现特征选择。通常Logistic regression适合于数据量较小或中等的机器学习分类问题。

对于包含疾病和健康分组的多组学数据,我们可以使用Logistic regression模型进行疾病概率预测及重要特征提取,以下即以一个微生物组数据为例进行讲解:

#01

示例数据

micro.xls, 包含样本名微生物相对丰度数据及疾病类型

#02

执行代码

01

模型训练及疾病概率预测

import pandas as pd
import numpy as np
import sys
import warnings
import joblib
import os
from sklearn.linear_model import LogisticRegression
from sklearn.base import BaseEstimator
from sklearn.metrics import balanced_accuracy_score
from sklearn.model_selection import cross_val_predict
from sklearn.decomposition import PCA
from sklearn.model_selection import StratifiedKFoldtrain_test_split
from sklearn.metrics import RocCurveDisplay
from sklearn.metrics import roc_auc_score
from sklearn.metrics import confusion_matrixclassification_report
#读取数据
disease='T2DM' #二型糖尿病
training_set = pd.read_csv("micro.xls"sep='\t'header=0)
training_set = training_set[
training_set["Phenotype"].str.contains(diseasena=False|
training_set["Phenotype"].str.contains("healthy"na=False)
        ]
X = training_set.drop(["Phenotype","is_healthy",'sample'],axis=1)
#过滤含有NA 的行
X = X.dropna()
#去除种水平和界水平的物种丰度
X.drop([for in training_set.columns if "s:"inc],axis=1,inplace=True)
X.drop([for in training_set.columns if "k:"inc],axis=1,inplace=True)
# 将is_healthy列转换为二进制标签:True(健康)=0, False(疾病)=1
y = training_set["is_healthy"].map({True0False1})
#提取x对应的y
y = y[X.index]
print(f"目标变量分布: {y.value_counts()}")
print(f"类别比例: {y.value_counts(normalize=True)}")
if  len(y.unique()) <2:
raiseValueError(f"数据中只有一个类别: {y.unique()},无法进行二分类")
#从y=0中抽取疾病样本数量, 解决标签不平衡问题
disease_num = y.sum()
healthy_samples = y[y == 0].sample(n=disease_numrandom_state=42)
y = pd.concat([healthy_samplesy[y == 1]])
X = X.loc[y.index]
print(f"重新抽样后目标变量分布: {y.value_counts()}")
print(f"重新抽样后类别比例: {y.value_counts(normalize=True)}")
# 分层抽样拆分得到训练和测试集
X_trainX_testy_trainy_test = train_test_split(
Xy
test_size=0.2
random_state=42
stratify=y
    )
#保存测试集真实标签用于后续AUC曲线绘制
y_test.to_csv("GMWI2_T2DM_true.csv"index=False)
#使用训练集进行10倍交叉验证获取超参数C,即L1正则化强度参数
skf = StratifiedKFold(n_splits=10shuffle=Truerandom_state=42)
forregin [0.0010.0030.010.030.10.31357]:
gmwi2 = LogisticRegression(random_state=42penalty="l1"solver="liblinear"C=regclass_weight="balanced")
#generate logit predictions for each fold
GMWI2_scores_ISV = cross_val_predict(gmwi2X_trainy_trainmethod="decision_function"cv=skfverbose=0n_jobs=32)
bal = balanced_accuracy_score(y_trainGMWI2_scores_ISV>0)
auc = roc_auc_score(y_trainGMWI2_scores_ISV)
hyperparam_results[reg] = {'balanced_accuracy'bal'auc'auc}
#根据balanced_accuracy评估选择最佳超参数
hyperparam_df = pd.DataFrame(hyperparam_results).T
REGULARIZATION = hyperparam_df.sort_values("balanced_accuracy").index[-1]
print("REGULARIZATION: "REGULARIZATION)
#使用L1惩罚项
gmwi2 = LogisticRegression(random_state=42penalty="l1"solver="liblinear"C=REGULARIZATIONclass_weight="balanced")
X_GMWI2 = X_train.copy()
gmwi2.fit(X_GMWI2y_train
#计算概率 (0-1)
model_probabilities = pd.DataFrame(gmwi2.predict_proba(X_test), index=X_test.index)
model_probabilities.columns = ["GMWI2_Probability_0""GMWI2_Probability_1"]
model_probabilities.to_csv("GMWI2_T2DM_probabilities.tsv",sep='\t',index=False)
#提取特征重要性
feature_importance = pd.DataFrame({
'feature'X_GMWI2.columns,
'coefficient'gmwi2.coef_[0],
'abs_coefficient'np.abs(gmwi2.coef_[0])
    })
#按模型中特征权重系数的绝对值排序(重要性从高到低)
feature_importance_sorted = feature_importance.sort_values('abs_coefficient'ascending=False)
feature_importance_sorted.to_csv('feature_importance.csv'index=False)

feature_importance.csv

02

绘制AUC曲线

import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import os,sys
# 设置中文字体
plt.rcParams['font.sans-serif'] = ['SimHei''Arial Unicode MS''DejaVu Sans']
plt.rcParams['axes.unicode_minus'] = False
def plot_auc_curve(prob_filedataset,y_true_file=Nonedisease_name="T2DM"output_dir="logistic_models_ggmpOnly"):
"""
    绘制AUC曲线
    Parameters:
    -----------
    prob_file : str
    概率文件路径
    y_true_file : str, optional
    真实标签文件路径,如果为None则从概率文件名推断
    disease_name : str
    疾病名称
    """
# 读取概率数据
print(f"正在读取概率文件: {prob_file}")
prob_df = pd.read_csv(prob_filesep='\t')
# 检查概率文件结构
print(f"概率文件列名: {prob_df.columns.tolist()}")
print(f"概率文件形状: {prob_df.shape}")
# 获取阳性概率(GMWI2_Probability_1)
if'GMWI2_Probability_1'inprob_df.columns:
y_prob = prob_df['GMWI2_Probability_1']
else:
raiseValueError("概率文件中未找到合适的概率列")
# 从文件读取真实标签
y_true_df = pd.read_csv(y_true_file)
y_true = y_true_df.values.flatten()
# 计算ROC曲线
fprtprthresholds = roc_curve(y_truey_prob)
roc_auc = auc(fprtpr)
# 创建ROC曲线图
plt.figure(figsize=(86))
# 绘制ROC曲线
plt.plot(fprtprcolor='darkorange'lw=3label=f'ROC curve (AUC = {roc_auc:.4f})')
plt.plot([01], [01], color='navy'lw=2linestyle='--'alpha=0.7label='Random classifier')
plt.fill_between(fprtpralpha=0.3color='darkorange')
# 标记最佳阈值点(Youden's J statistic)
youden_j = tpr-fpr
best_idx = np.argmax(youden_j)
best_threshold = thresholds[best_idx]
plt.scatter(fpr[best_idx], tpr[best_idx], color='red's=100
label=f'Best threshold: {best_threshold:.3f}\nTPR: {tpr[best_idx]:.3f}, FPR: {fpr[best_idx]:.3f}')
plt.xlim([0.01.0])
plt.ylim([0.01.05])
plt.xlabel('False Positive Rate'fontsize=12)
plt.ylabel('True Positive Rate'fontsize=12)
plt.title(f'ROC Curve for T2DM'fontsize=14fontweight='bold')
plt.legend(loc="lower right"fontsize=10)
plt.grid(Truealpha=0.3)
plt.tight_layout()
# 保存图像
os.makedirs(output_direxist_ok=True)
plt.savefig('AUC_curve_detailed.png'dpi=300bbox_inches='tight')
plt.savefig('AUC_curve_detailed.pdf'bbox_inches='tight')
# 设置文件路径
prob_file = "GMWI2_T2DM_probabilities.csv"
disease_name = "T2DM"
y_true_file = "GMWI2_T2DM_true.csv"
# 检查文件是否存在
if not os.path.exists(prob_file):
print(f"错误: 概率文件不存在: {prob_file}")
print("请确保模型已经训练并生成了概率文件")
return
try:
# 绘制AUC曲线
auc_scorebest_threshold = plot_auc_curve(
prob_file=prob_file,
disease_name=disease_name,
output_dir=output_dir,
y_true_file=y_true_file,
dataset=dataset
    )
except Exception as e:
print(f"错误: {e}")
print("请检查概率文件的格式和内容")

ROC图

以上就是本期推文的全部内容, 希望此教程对您的科研工作有所帮助!

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  1. CONNECT:[ UseTime:0.000568s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000766s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000307s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000266s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000486s ]
  6. SELECT * FROM `set` [ RunTime:0.000211s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000513s ]
  8. SELECT * FROM `article` WHERE `id` = 483008 LIMIT 1 [ RunTime:0.000452s ]
  9. UPDATE `article` SET `lasttime` = 1774576539 WHERE `id` = 483008 [ RunTime:0.008415s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000380s ]
  11. SELECT * FROM `article` WHERE `id` < 483008 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.003211s ]
  12. SELECT * FROM `article` WHERE `id` > 483008 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001272s ]
  13. SELECT * FROM `article` WHERE `id` < 483008 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.008736s ]
  14. SELECT * FROM `article` WHERE `id` < 483008 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.004039s ]
  15. SELECT * FROM `article` WHERE `id` < 483008 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002746s ]
0.100462s