Convert from list

Apply np.array() method to convert a list to a numpy array:

1 import numpy as np
2 mylist = [1, 2, 3]
3 x = np.array(mylist)
4 x

Output: array([1, 2, 3])

Or just pass in a list directly:

y = np.array([4, 5, 6])
y

Output: array([4, 5, 6])

Pass in a list of lists to create a multidimensional array:

m = np.array([[7, 8, 9], [10, 11, 12]])
m

Output:

array([[ 7,  8,  9],

       [10, 11, 12]])

Array Generation Functions

arange

 returns evenly spaced values within a given interval.

n = np.arange(0, 30, 2) # start at 0 count up by 2, stop before 30
n

Output: 

array([ 0,  2,  4,  6,  8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28])

reshape returns an array with the same data with a new shape.

n = n.reshape(3, 5) # reshape array to be 3x5
n

Output:

array([[ 0,  2,  4,  6,  8],

       [10, 12, 14, 16, 18],

       [20, 22, 24, 26, 28]])

linspace returns evenly spaced numbers over a specified interval.

o = np.linspace(0, 4, 9) # return 9 evenly spaced values from 0 to 4
o

Output:

array([0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. ])

resize changes the shape and size of array in-place.

o.resize(3, 3)
o

Output:

array([[0. , 0.5, 1. ],

       [1.5, 2. , 2.5],

       [3. , 3.5, 4. ]])

ones returns a new array of given shape and type, filled with ones.

np.ones((3, 2))

Output: 

array([[1., 1.],

       [1., 1.],

       [1., 1.]])

zeros returns a new array of given shape and type, filled with zeros.

np.zeros((2, 3))

Output:

array([[0., 0., 0.],

       [0., 0., 0.]])

eye returns a 2-D array with ones on the diagonal and zeros elsewhere.

np.eye(3)

Output:

array([[1., 0., 0.],

       [0., 1., 0.],

       [0., 0., 1.]])

diag extracts a diagonal or constructs a diagonal array.

np.diag(y)

Output:

array([[4, 0, 0],

       [0, 5, 0],

       [0, 0, 6]])

Create an array using repeating list (or see np.tile)

np.array([1, 2, 3] * 3)

Output:

array([1, 2, 3, 1, 2, 3, 1, 2, 3])

Repeat elements of an array using repeat.

np.repeat([1, 2, 3], 3)

Output:

array([1, 1, 1, 2, 2, 2, 3, 3, 3])

Random Number Generator

The numpy.random subclass provides many methods for random sampling. The following tabels list funtions in the module to generate random numbers.

Simple random data

 

 

Now I will summarize the usage of the first three funtions which I have met frequently.

numpy.random.rand creates an array of the given shape and populate it with random samples from a uniform  distribution over [0, 1). Parameters d0, d1, ..., dn define dimentions of returned array.

np.random.rand(2,3)

Output:

array([[0.20544659, 0.23520889, 0.11680902],

       [0.56246922, 0.60270525, 0.75224416]])

 

numpy.random.randn creates an array of the given shape and populate it with random samples from a strandard normal distribution N(0,1). If any of the  are floats, they are first converted to integers by truncation. A single float randomly sampled from the distribution is returned if no argument is provided.

1 # single random variable
2 print(np.random.randn(),'\n')
3 # N(0,1)
4 print(np.random.randn(2, 4),'\n')
5 # N(3,6.26)
6 print(2.5 * np.random.randn(2, 4) + 3,'\n')

Output:

-1.613647405772221 

 

[[ 1.13147436  0.19641141 -0.62034454  0.61118876]

 [ 0.95742223  1.91138142  0.2736291   0.29787331]] 

 

[[ 1.997092    2.6460653   3.2408004  -0.81586404]

 [ 0.15120766  1.23676426  6.59249789 -1.04078213]] 

 

numpy. random.randint returns random integers from the “discrete uniform” distribution of the specified dtype in the interval [low, high). If high is None (the default), then results are from [0, low). The specific format is

numpy.random.randint(low, high=None, size=None, dtype='l')

np.random.seed(10)
np.random.randint(100,200,(3,4))
np.random.randint(100,200)

Output:

array([[109, 115, 164, 128],

       [189, 193, 129, 108],

       [173, 100, 140, 136]])

 

109 

Permutation

There are another two funtions used for permutations. Both of them can randomly permute an array. The only difference is that shuffle changes the original array but permutation doesn't.

Here are some examples of permutation. 

np.random.permutation([1, 4, 9, 12, 15])

Output: array([ 9,  4,  1, 12, 15])

np.random.permutation(10)

Output: array([3, 7, 4, 6, 8, 2, 1, 5, 0, 9])

Usually, we use the following statements to perform random sampling:

permutation = list(np.random.permutation(m))  #m is the number of samples
shuffled_X = X[:, permutation]
shuffled_Y = Y[:, permutation].reshape((1,m))