In [1]:

    

%matplotlib inline


    

In [2]:

    

import numpy as np
import matplotlib.pyplot as plt


    

In [3]:

    

plt.rcParams['figure.figsize'] = (12, 10)


    

In [4]:

    

x = np.mgrid[0.0:2*np.pi:3000j]


    

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y0 = np.sin(x)


    

In [6]:

    

plt.plot(x, y0, '-k.', label="all points")
plt.xlabel("x")
plt.ylabel("y")
plt.legend()


    

    
Out[6]:





<matplotlib.legend.Legend at 0x7f93dc5fd898>






    

In [7]:

    

for i, sample_step in enumerate([1, 5, 50, 500]):
    plt.subplot(2, 2, i+1)
    plt.plot(x[::sample_step], y0[::sample_step], '.-')
    plt.title("Step Size {}".format(sample_step))


    

In [8]:

    

for i, sample_size in enumerate([5, 50, 100, 500]):
    plt.subplot(2, 2, i+1)
    ind = np.random.choice(np.arange(x.size), sample_size)
    ind.sort()
    plt.plot(x[ind], y0[ind], '.-')
    plt.title("Random {}".format(sample_size))


    

In [9]:

    

x = np.mgrid[0.0:20*np.pi:3000j]
y0 = np.sin(x)
plt.plot(x, y0, '-k.', label="all points")
plt.xlabel("x")
plt.ylabel("y")
plt.legend()


    

    
Out[9]:





<matplotlib.legend.Legend at 0x7f93b88cd080>






    

In [10]:

    

for i, sample_step in enumerate([1, 5, 50, 500]):
    plt.subplot(2, 2, i+1)
    plt.plot(x[::sample_step], y0[::sample_step], '.-')
    plt.title("Step Size {}".format(sample_step))


    

In [11]:

    

for i, sample_size in enumerate([5, 50, 100, 500]):
    plt.subplot(2, 2, i+1)
    ind = np.random.choice(np.arange(x.size), sample_size)
    ind.sort()
    plt.plot(x[ind], y0[ind], '.-')
    plt.title("Random {}".format(sample_size))


    

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