在没有好猜测的情况下使用scipy.optimize.curve_fit进行指数拟合

import numpy as np
import matplotlib.pyplot as plt
from scipy.optimize import curve_fit

def exponential_func(x, a, b, c):
    return a * np.exp(-b * x) + c

x_data = np.array([0, 1, 2, 3, 4, 5])
y_data = np.array([5, 3, 2, 1, 0.5, 0.2])

popt, pcov = curve_fit(exponential_func, x_data, y_data)

x_fit = np.linspace(0, 5, 100)
y_fit = exponential_func(x_fit, *popt)

plt.plot(x_data, y_data, 'bo', label='Original Data')
plt.plot(x_fit, y_fit, 'r-', label='Fitted Curve')
plt.legend()
plt.xlabel('x')
plt.ylabel('y')
plt.show()