smooth-vs-nonsmooth-1d.ipynb

Kernel: Unknown Kernel

import numpy as np
import matplotlib.pyplot as plt

try:
    import probml_utils as pml
except ModuleNotFoundError:
    %pip install -qq git+https://github.com/probml/probml-utils.git
    import probml_utils as pml

x = np.linspace(-1, 1, 100)
y = np.power(x, 2)
plt.figure()
plt.plot(x, y, "-", lw=3)
plt.title("Smooth function")
pml.savefig("smooth-fn.pdf")

y = np.abs(x)
plt.figure()
plt.plot(x, y, "-", lw=3)
plt.title("Non-smooth function")
pml.savefig("nonsmooth-fn.pdf")

plt.show()