[python] Counting the number of non-NaN elements in a numpy ndarray in Python

I need to calculate the number of non-NaN elements in a numpy ndarray matrix. How would one efficiently do this in Python? Here is my simple code for achieving this:

import numpy as np

def numberOfNonNans(data):
    count = 0
    for i in data:
        if not np.isnan(i):
            count += 1
    return count 

Is there a built-in function for this in numpy? Efficiency is important because I'm doing Big Data analysis.

Thnx for any help!

This question is related to python numpy matrix nan

The answer is


np.count_nonzero(~np.isnan(data))

~ inverts the boolean matrix returned from np.isnan.

np.count_nonzero counts values that is not 0\false. .sum should give the same result. But maybe more clearly to use count_nonzero

Testing speed:

In [23]: data = np.random.random((10000,10000))

In [24]: data[[np.random.random_integers(0,10000, 100)],:][:, [np.random.random_integers(0,99, 100)]] = np.nan

In [25]: %timeit data.size - np.count_nonzero(np.isnan(data))
1 loops, best of 3: 309 ms per loop

In [26]: %timeit np.count_nonzero(~np.isnan(data))
1 loops, best of 3: 345 ms per loop

In [27]: %timeit data.size - np.isnan(data).sum()
1 loops, best of 3: 339 ms per loop

data.size - np.count_nonzero(np.isnan(data)) seems to barely be the fastest here. other data might give different relative speed results.


To determine if the array is sparse, it may help to get a proportion of nan values

np.isnan(ndarr).sum() / ndarr.size

If that proportion exceeds a threshold, then use a sparse array, e.g. - https://sparse.pydata.org/en/latest/


An alternative, but a bit slower alternative is to do it over indexing.

np.isnan(data)[np.isnan(data) == False].size

In [30]: %timeit np.isnan(data)[np.isnan(data) == False].size
1 loops, best of 3: 498 ms per loop 

The double use of np.isnan(data) and the == operator might be a bit overkill and so I posted the answer only for completeness.


Quick-to-write alterantive

Even though is not the fastest choice, if performance is not an issue you can use:

sum(~np.isnan(data)).

Performance:

In [7]: %timeit data.size - np.count_nonzero(np.isnan(data))
10 loops, best of 3: 67.5 ms per loop

In [8]: %timeit sum(~np.isnan(data))
10 loops, best of 3: 154 ms per loop

In [9]: %timeit np.sum(~np.isnan(data))
10 loops, best of 3: 140 ms per loop

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