1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
|
#
# Licensed to the Apache Software Foundation (ASF) under one or more
# contributor license agreements. See the NOTICE file distributed with
# this work for additional information regarding copyright ownership.
# The ASF licenses this file to You under the Apache License, Version 2.0
# (the "License"); you may not use this file except in compliance with
# the License. You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#
"""
Python package for statistical functions in MLlib.
"""
from functools import wraps
from pyspark import PickleSerializer
from pyspark.mllib.linalg import _to_java_object_rdd
__all__ = ['MultivariateStatisticalSummary', 'Statistics']
def serialize(f):
ser = PickleSerializer()
@wraps(f)
def func(self):
jvec = f(self)
bytes = self._sc._jvm.SerDe.dumps(jvec)
return ser.loads(str(bytes)).toArray()
return func
class MultivariateStatisticalSummary(object):
"""
Trait for multivariate statistical summary of a data matrix.
"""
def __init__(self, sc, java_summary):
"""
:param sc: Spark context
:param java_summary: Handle to Java summary object
"""
self._sc = sc
self._java_summary = java_summary
def __del__(self):
self._sc._gateway.detach(self._java_summary)
@serialize
def mean(self):
return self._java_summary.mean()
@serialize
def variance(self):
return self._java_summary.variance()
def count(self):
return self._java_summary.count()
@serialize
def numNonzeros(self):
return self._java_summary.numNonzeros()
@serialize
def max(self):
return self._java_summary.max()
@serialize
def min(self):
return self._java_summary.min()
class Statistics(object):
@staticmethod
def colStats(rdd):
"""
Computes column-wise summary statistics for the input RDD[Vector].
>>> from pyspark.mllib.linalg import Vectors
>>> rdd = sc.parallelize([Vectors.dense([2, 0, 0, -2]),
... Vectors.dense([4, 5, 0, 3]),
... Vectors.dense([6, 7, 0, 8])])
>>> cStats = Statistics.colStats(rdd)
>>> cStats.mean()
array([ 4., 4., 0., 3.])
>>> cStats.variance()
array([ 4., 13., 0., 25.])
>>> cStats.count()
3L
>>> cStats.numNonzeros()
array([ 3., 2., 0., 3.])
>>> cStats.max()
array([ 6., 7., 0., 8.])
>>> cStats.min()
array([ 2., 0., 0., -2.])
"""
sc = rdd.ctx
jrdd = _to_java_object_rdd(rdd)
cStats = sc._jvm.PythonMLLibAPI().colStats(jrdd)
return MultivariateStatisticalSummary(sc, cStats)
@staticmethod
def corr(x, y=None, method=None):
"""
Compute the correlation (matrix) for the input RDD(s) using the
specified method.
Methods currently supported: I{pearson (default), spearman}.
If a single RDD of Vectors is passed in, a correlation matrix
comparing the columns in the input RDD is returned. Use C{method=}
to specify the method to be used for single RDD inout.
If two RDDs of floats are passed in, a single float is returned.
>>> x = sc.parallelize([1.0, 0.0, -2.0], 2)
>>> y = sc.parallelize([4.0, 5.0, 3.0], 2)
>>> zeros = sc.parallelize([0.0, 0.0, 0.0], 2)
>>> abs(Statistics.corr(x, y) - 0.6546537) < 1e-7
True
>>> Statistics.corr(x, y) == Statistics.corr(x, y, "pearson")
True
>>> Statistics.corr(x, y, "spearman")
0.5
>>> from math import isnan
>>> isnan(Statistics.corr(x, zeros))
True
>>> from pyspark.mllib.linalg import Vectors
>>> rdd = sc.parallelize([Vectors.dense([1, 0, 0, -2]), Vectors.dense([4, 5, 0, 3]),
... Vectors.dense([6, 7, 0, 8]), Vectors.dense([9, 0, 0, 1])])
>>> pearsonCorr = Statistics.corr(rdd)
>>> print str(pearsonCorr).replace('nan', 'NaN')
[[ 1. 0.05564149 NaN 0.40047142]
[ 0.05564149 1. NaN 0.91359586]
[ NaN NaN 1. NaN]
[ 0.40047142 0.91359586 NaN 1. ]]
>>> spearmanCorr = Statistics.corr(rdd, method="spearman")
>>> print str(spearmanCorr).replace('nan', 'NaN')
[[ 1. 0.10540926 NaN 0.4 ]
[ 0.10540926 1. NaN 0.9486833 ]
[ NaN NaN 1. NaN]
[ 0.4 0.9486833 NaN 1. ]]
>>> try:
... Statistics.corr(rdd, "spearman")
... print "Method name as second argument without 'method=' shouldn't be allowed."
... except TypeError:
... pass
"""
sc = x.ctx
# Check inputs to determine whether a single value or a matrix is needed for output.
# Since it's legal for users to use the method name as the second argument, we need to
# check if y is used to specify the method name instead.
if type(y) == str:
raise TypeError("Use 'method=' to specify method name.")
jx = _to_java_object_rdd(x)
if not y:
resultMat = sc._jvm.PythonMLLibAPI().corr(jx, method)
bytes = sc._jvm.SerDe.dumps(resultMat)
ser = PickleSerializer()
return ser.loads(str(bytes)).toArray()
else:
jy = _to_java_object_rdd(y)
return sc._jvm.PythonMLLibAPI().corr(jx, jy, method)
def _test():
import doctest
from pyspark import SparkContext
globs = globals().copy()
globs['sc'] = SparkContext('local[4]', 'PythonTest', batchSize=2)
(failure_count, test_count) = doctest.testmod(globs=globs, optionflags=doctest.ELLIPSIS)
globs['sc'].stop()
if failure_count:
exit(-1)
if __name__ == "__main__":
_test()
|