softmax回归分类鸢尾花数据用python代码实现,最终分类结果需要可视化图片
时间: 2024-03-14 16:47:44 浏览: 15
好的,我可以帮你解决这个问题。首先,我们需要导入所需的库,包括numpy、pandas、matplotlib和sklearn:
```python
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.datasets import load_iris
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
```
接下来,我们加载鸢尾花数据集,并将其转换为pandas DataFrame格式:
```python
iris = load_iris()
X = pd.DataFrame(data=iris.data, columns=iris.feature_names)
y = pd.DataFrame(data=iris.target, columns=['target'])
```
然后,我们将数据集分成训练集和测试集,并对特征进行标准化处理:
```python
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)
scaler = StandardScaler()
X_train = scaler.fit_transform(X_train)
X_test = scaler.transform(X_test)
```
接下来,我们定义softmax回归模型并训练它:
```python
class SoftmaxRegression:
def __init__(self, n_classes, n_features):
self.n_classes = n_classes
self.n_features = n_features
self.weights = np.zeros((n_features, n_classes))
def softmax(self, z):
return np.exp(z) / np.sum(np.exp(z), axis=1, keepdims=True)
def predict(self, X):
logits = np.dot(X, self.weights)
return np.argmax(self.softmax(logits), axis=1)
def fit(self, X, y, learning_rate=0.1, epochs=1000):
for i in range(epochs):
logits = np.dot(X, self.weights)
y_pred = self.softmax(logits)
loss = -np.mean(np.sum(y * np.log(y_pred), axis=1))
gradient = np.dot(X.T, (y_pred - y))
self.weights -= learning_rate * gradient
if i % 100 == 0:
print(f'Epoch {i}, Loss: {loss:.4f}')
```
最后,我们使用训练好的模型对测试集进行预测,并绘制分类结果的可视化图:
```python
model = SoftmaxRegression(n_classes=3, n_features=4)
model.fit(X_train, pd.get_dummies(y_train['target']).values, learning_rate=0.1, epochs=1000)
y_pred = model.predict(X_test)
colors = ['red', 'green', 'blue']
markers = ['o', 's', 'x']
for i in range(3):
plt.scatter(X_test[y_pred == i, 0], X_test[y_pred == i, 1], color=colors[i], marker=markers[i],
label=iris.target_names[i])
plt.legend()
plt.show()
```
这样,我们就实现了softmax回归分类鸢尾花数据并绘制了分类结果的可视化图。