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Using Python pool inside loop

I'm trying to do some computation using a great quantity of data. The computation consists of simple correlation, however, my amount of data is significant and I was staring at my computer for more then 10 minutes with no output at all.

Then I tried to use multiprocessing.Pool . This is my code now:

from multiprocessing import Pool
from haversine import haversine

def calculateCorrelation(data_1, data_2, dist):
    """
    Fill the correlation matrix between data_1 and data_2
    :param data_1: dictionary {key : [coordinates]}
    :param data_2: dictionary {key : [coordinates]}
    :param dist: minimum distance between coordinates to be considered, in kilometers.
    :return: numpy array containing the correlation between each complaint category.
    """
    pool = Pool(processes=20)

    data_1 = collections.OrderedDict(sorted(data_1.items()))
    data_2 = collections.OrderedDict(sorted(data_2.items()))
    data_1_size = len(data_1)                                          
    data_2_size = len(data_2)

    corr = numpy.zeros((data_1_size, data_2_size))

    for index_1, key_1 in enumerate(data_1):
        for index_2, key_2 in enumerate(data_2):  # Forming pairs
            type_1 = data_1[key_1]  # List of data in data_1 of type *i*
            type_2 = data_2[key_2]  # List of data in data_2 of type *j*
            result = pool.apply_async(correlation, args=[type_1, type_2, dist])
            corr[index_1, index_2] = result.get()
    pool.close()
    pool.join()


def correlation(type_1, type_2, dist):
    in_range = 0
    for l1 in type_2:      # Coordinates of a data in data_1
        for l2 in type_2:  # Coordinates of a data in data_2
            p1 = (float(l1[0]), float(l1[1]))
            p2 = (float(l2[0]), float(l2[1]))
            if haversine(p1, p2) <= dist:  # Distance between two data of types *i* and *j*
                in_range += 1              # Number of data in data_2 inside area of data in data_1
        total = float(len(type_1) * len(type_2))
        if total != 0:
            return in_range / total  # Correlation between category *i* and *j*

corr = calculateCorrelation(permiters_per_region, complaints_per_region, 20)

However, speed hasn't improved. It seems that no parallel processing is being done:

在此处输入图片说明

As just one thread concentrates almost all work. At some point, all Python workers are using 0.0% of the CPU, and one thread is using 100%.

Am I missing something?

In the loop where you generate the jobs, you call apply_async and then wait for it to complete which effectively serializes the work. You could add the result object to a queue and wait after all the dispatch work is done (see below) or even move to the map method.

def calculateCorrelation(data_1, data_2, dist):
    """
    Fill the correlation matrix between data_1 and data_2
    :param data_1: dictionary {key : [coordinates]}
    :param data_2: dictionary {key : [coordinates]}
    :param dist: minimum distance between coordinates to be considered, in kilometers.
    :return: numpy array containing the correlation between each complaint category.
    """
    pool = Pool(processes=20)
    results = []

    data_1 = collections.OrderedDict(sorted(data_1.items()))
    data_2 = collections.OrderedDict(sorted(data_2.items()))
    data_1_size = len(data_1)                                          
    data_2_size = len(data_2)

    corr = numpy.zeros((data_1_size, data_2_size))

    for index_1, key_1 in enumerate(data_1):
        for index_2, key_2 in enumerate(data_2):  # Forming pairs
            type_1 = data_1[key_1]  # List of data in data_1 of type *i*
            type_2 = data_2[key_2]  # List of data in data_2 of type *j*
            result = pool.apply_async(correlation, args=[type_1, type_2, dist])
            results.append((result, index_1, index_2))
    for result, index_1, index_2 in results:
        corr[index_1, index_2] = result.get()
    pool.close()
    pool.join()

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