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41 changes: 41 additions & 0 deletions gradient descent python
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import numpy as np
import matplotlib.pyplot as plt
from sklearn.datasets import load_wine
from sklearn.preprocessing import StandardScaler


data = load_wine()
X = data.data[:, :1] # Use the first feature for simplicity
y = data.target.astype(float)

scaler = StandardScaler()
X = scaler.fit_transform(X)


X_b = np.c_[np.ones((X.shape[0], 1)), X] # shape (n_samples, 2)

theta = np.random.randn(2)
learning_rate = 0.1
iterations = 100
m = len(y)


loss_history = []


for i in range(iterations):
predictions = X_b.dot(theta)
errors = predictions - y
gradient = (2/m) * X_b.T.dot(errors)
theta = theta - learning_rate * gradient

loss = (1/m) * np.sum(errors**2) # MSE
loss_history.append(loss)

plt.plot(range(iterations), loss_history, color='blue')
plt.xlabel("Iterations")
plt.ylabel("Mean Squared Error")
plt.title("Gradient Descent on Wine Data")
plt.show()

print("Final parameters:", theta)