def test_matrix_independence(self):
data = [
40.0, 24.0, 29.0, 56.0, 32.0, 42.0, 31.0, 10.0, 0.0, 30.0, 15.0,
12.0
]
chi = Statistics.chiSqTest(Matrices.dense(3, 4, data))
# Results validated against R command
# `chisq.test(rbind(c(40, 56, 31, 30),c(24, 32, 10, 15), c(29, 42, 0, 12)))`
self.assertAlmostEqual(chi.statistic, 21.9958, 4)
self.assertEqual(chi.degreesOfFreedom, 6)
self.assertAlmostEqual(chi.pValue, 0.001213, 4)
# Negative counts
neg_counts = Matrices.dense(2, 2, [4.0, 5.0, 3.0, -3.0])
self.assertRaises(IllegalArgumentException, Statistics.chiSqTest,
neg_counts)
# Row sum = 0.0
row_zero = Matrices.dense(2, 2, [0.0, 1.0, 0.0, 2.0])
self.assertRaises(IllegalArgumentException, Statistics.chiSqTest,
row_zero)
# Column sum = 0.0
col_zero = Matrices.dense(2, 2, [0.0, 0.0, 2.0, 2.0])
self.assertRaises(IllegalArgumentException, Statistics.chiSqTest,
col_zero)
def loadBlockFromMatFile(filename):
data = loadmat(filename, squeeze_me=True)
id, G = data['block_id'], data['G']
if isinstance(G, sparse.csc_matrix):
sub_matrix = Matrices.sparse(p, p, G.indptr, G.indices, G.data)
else:
sub_matrix = Matrices.dense(p, p, G.transpose().flatten())
return ((id[0], id[1]), sub_matrix)
def test_computeRowSums(self):
dm1 = OldMatrices.dense(3, 2, [1, 2, 3, 4, 5, 6])
dm2 = OldMatrices.dense(3, 2, [7, 8, 9, 10, 11, 12])
dm3 = OldMatrices.dense(3, 2, [13, 14, 15, 16, 17, 18])
dm4 = OldMatrices.dense(3, 2, [19, 20, 21, 22, 23, 24])
blocks = self.sc.parallelize([((0, 0), dm1), ((0, 1), dm2),
((1, 0), dm3), ((1, 1), dm4)])
mat = BlockMatrix(blocks, 3, 2)
rowSums = sparkle.util._computeRowSums(mat)
self.assertTrue(np.all(rowSums == [48, 66, 84, 102]))
def g(block):
blockArr = block[1].toArray().ravel()
newmat = OldMatrices.dense(
block[1].numRows, block[1].numCols,
np.sign(blockArr) * np.maximum(0,
np.abs(blockArr) - rho))
return (block[0], newmat)
def test_dimension(self, targetDimension, testDimension):
if not targetDimension in self._dataframe_helper.get_string_columns():
raise BIException.non_string_column(testDimension)
chisquare_result = ChiSquareResult()
pivot_table = self._data_frame.stat.crosstab(
"{}".format(targetDimension), testDimension)
# rdd = pivot_table.rdd.flatMap(lambda x: x).filter(lambda x: str(x).isdigit()).collect()
rdd = list(
chain(*zip(*pivot_table.drop(pivot_table.columns[0]).collect())))
data_matrix = Matrices.dense(pivot_table.count(),
len(pivot_table.columns) - 1, rdd)
result = Statistics.chiSqTest(data_matrix)
chisquare_result.set_params(result)
freq_table = self._get_contingency_table_of_freq(pivot_table,
need_sorting=True)
freq_table.set_tables()
chisquare_result.set_table_result(freq_table)
# Cramers V Calculation
stat_value = result.statistic
n = freq_table.get_total()
t = min(len(freq_table.column_one_values),
len(freq_table.column_two_values))
v_value = math.sqrt(float(stat_value) / (n * float(t)))
chisquare_result.set_v_value(v_value)
self._dataframe_helper.add_chisquare_significant_dimension(
testDimension, v_value)
return chisquare_result
def mult(A, B):
#-------LOG
logging.warn("Multiplication started")
blockcount = A.blocks.getNumPartitions()
logging.warn("A part count")
logging.warn(blockcount)
blockcount = B.blocks.getNumPartitions()
logging.warn("B part count")
logging.warn(blockcount)
#-----LOG
# If dense, just call the inbuilt function.
if (isinstance(A.blocks.first()[1], DenseMatrix)
or isinstance(B.blocks.first()[1], DenseMatrix)):
return A.multiply(B)
#sparse ? Then continue the madness
N = A.numRows()
p = SQUARE_BLOCK_SIZE
num_blocks = N / p
aleft = A.blocks.flatMap(lambda x: affectLeft(x, num_blocks))
bright = B.blocks.flatMap(lambda x: affectRight(x, num_blocks))
both = aleft.union(bright)
indi = both.reduceByKey(lambda a, b: prod(a, b))
map = indi.map(lambda x: ((x[0][0], x[0][2]), x[1]))
pr = map.reduceByKey(add)
brd = pr.map(lambda x: ((x[0][0], x[0][
1]), Matrices.sparse(p, p, x[1].indptr, x[1].indices, x[1].data)))
C = BlockMatrix(brd, p, p, N, N)
return C
def dist_deter(i):
global mat
global rows
global det
# sum = 0
matrix = []
# mat = mat.toArray()
for j in range(0, rows):
for k in range(1, rows):
if j != i:
# z=0
# print mat[k][j]
matrix.append(mat[k][j])
# print matrix, rows
matrix = Matrices.dense(rows - 1, rows - 1, matrix)
# print "siudfoi",i,matrix.toArray()
# print "--------------------------"
# print "mat[0,i] =",mat[0][i]
# print "deter =",determinant(rows-1,matrix)
sum = mat[0][i] * determinant(rows - 1, matrix)
if i % 2 == 0:
det += sum
else:
det += (0 - sum)
def determinant(rows, mat):
if rows <= 0:
return "invalid"
else:
if rows == 1:
return mat[0]
elif rows == 2:
mat = mat.toArray()
# print "dsjfgbi", mat
return mat[0][0] * mat[1][1] - mat[1][0] * mat[0][1]
else:
sum = 0
mat = mat.toArray()
for i in range(0, rows):
matrix = []
for j in range(0, rows):
for k in range(1, rows):
if j != i:
matrix.append(mat[k][j])
# print matrix, rows
matrix = Matrices.dense(rows - 1, rows - 1, matrix)
# print "siudfoi",i,matrix.toArray()
# print "--------------------------"
# print "mat[0,i] =",mat[0][i]
# print "deter =",determinant(rows-1,matrix)
if i % 2 == 0:
sum = sum + mat[0][i] * determinant(rows - 1, matrix)
else:
sum = sum - mat[0][i] * determinant(rows - 1, matrix)
# print sum
return sum
def to_matrix(np_array):
''' Convert numpy array to MLlib Matrix '''
if len(np_array.shape) == 2:
return Matrices.dense(np_array.shape[0], np_array.shape[1],
np_array.ravel())
else:
raise Exception("""An MLLib Matrix can only be created
from a two-dimensional numpy array""")
def to_matrix(np_array):
''' Convert numpy array to MLlib Matrix '''
if len(np_array.shape) == 2:
return Matrices.dense(np_array.shape[0],
np_array.shape[1],
np_array.ravel())
else:
raise Exception("""An MLLib Matrix can only be created from a two-dimensional numpy array""")
def MapperLoadBlocksFromMatFile(filename):
logging.warn('MapperLoadBlocksFromMatFile started %s ', filename)
data = loadmat(filename)
logging.warn('Loaded data')
name = re.search('(\d+_\d+).mat$', filename, re.IGNORECASE).group(1)
G = data[name]
id = name.split('_')
n = G.shape[0]
logging.warn('Before sparse conversion')
if (not (isinstance(G, sparse.csc_matrix))):
sub_matrix = Matrices.dense(n, n, G.transpose().flatten())
else:
#sub_matrix = Matrices.dense(n,n,np.array(G.todense()).transpose().flatten())
#SPARSE
sub_matrix = Matrices.sparse(n, n, G.indptr, G.indices, G.data)
logging.warn('MapperLoadBlocksFromMatFile Ended')
return ((id[0], id[1]), sub_matrix)
def difun(x, vect):
if x[0] == x[1]:
sm = SparseMatrix(p, p, np.linspace(0, p, num = (p+1)), \
np.linspace(0, p-1, num = p), vect[(x[0]*p):((x[0]+1)*p)])
return (x, sm)
else:
h = sparse.csc_matrix((p, p))
return (x, Matrices.sparse(p, p, h.indptr, h.indices, h.data))
def to_matrix(np_array):
if len(np_array.shape) == 2:
return Matrices.dense(np_array.shape[0], np_array.shape[1],
np_array.ravel())
else:
raise Exception(
'An MLLib Matrix can only be created from a two-dimensional numpy array'
)
def normalizeLaplacian(block, d1):
I, J = block[0]
mat, p = block[1].toArray(), SQUARE_BLOCK_SIZE
L = np.zeros((p, p))
for i in range(p):
for j in range(p):
L[i, j] = mat[i, j] * d1[I * p + i] * d1[J * p + j]
nomalizedL = Matrices.dense(p, p, L.transpose().flatten())
return (block[0], nomalizedL)
def to_matrix(np_array):
"""Convert numpy array to MLlib Matrix
"""
if len(np_array.shape) == 2:
return Matrices.dense(np_array.shape[0], np_array.shape[1],
np_array.ravel())
else:
raise Exception(
"An MLLib Matrix can only be created from a two-dimensional " +
"numpy array, got {}".format(len(np_array.shape)))
def main():
if len(sys.argv) < 2:
print('USAGE: matrix_mult.py <dim of matrix>')
return
n = int(sys.argv[1])
dm2 = Matrices.dense(n, n, np.random.randint(1, n * n, n * n).tolist())
blocks1 = sc.parallelize([((0, 0), dm2)])
m2 = BlockMatrix(blocks1, n, n)
m3 = BlockMatrix(blocks1, n, n)
ret = m3.multiply(m2).toIndexedRowMatrix().toRowMatrix().rows.collect()
print('****************n:', n)
def convertMahoutToSparkMatrix(mahoutMatrix):
"""
For compatible use
:param mahoutMatrix:
:return:
"""
rows, cols = mahoutMatrix.shape
# remember to take the transpose since denseMatrix is column major
ret = Matrices.dense(rows, cols, mahoutMatrix.transpose().flatten().tolist())
return ret
def g(block):
i, j = block[0]
mat = block[1].toArray()
n, m = mat.shape
col0 = colsPerBlock.value * j
blockCenter = cb.value if np.isscalar(
cb.value) else cb.value[col0:(col0 + m)]
blockScale = sb.value if np.isscalar(
sb.value) else sb.value[col0:(col0 + m)]
newmat = (mat - blockCenter) / blockScale
newmat = OldMatrices.dense(n, m, newmat.ravel(order='F'))
return ((i, j), newmat)
def test_matrix_independence(self):
data = [40.0, 24.0, 29.0, 56.0, 32.0, 42.0, 31.0, 10.0, 0.0, 30.0, 15.0, 12.0]
chi = Statistics.chiSqTest(Matrices.dense(3, 4, data))
# Results validated against R command
# `chisq.test(rbind(c(40, 56, 31, 30),c(24, 32, 10, 15), c(29, 42, 0, 12)))`
self.assertAlmostEqual(chi.statistic, 21.9958, 4)
self.assertEqual(chi.degreesOfFreedom, 6)
self.assertAlmostEqual(chi.pValue, 0.001213, 4)
# Negative counts
neg_counts = Matrices.dense(2, 2, [4.0, 5.0, 3.0, -3.0])
self.assertRaises(Py4JJavaError, Statistics.chiSqTest, neg_counts)
# Row sum = 0.0
row_zero = Matrices.dense(2, 2, [0.0, 1.0, 0.0, 2.0])
self.assertRaises(Py4JJavaError, Statistics.chiSqTest, row_zero)
# Column sum = 0.0
col_zero = Matrices.dense(2, 2, [0.0, 0.0, 2.0, 2.0])
self.assertRaises(Py4JJavaError, Statistics.chiSqTest, col_zero)
def eucledianDistances(ZblockPair):
I, J = int(ZblockPair[0][0]), int(ZblockPair[1][0])
blockI, blockJ = ZblockPair[0][1], ZblockPair[1][1]
allCombinations = itertools.product(blockI, blockJ)
allCombsEdges = [np.linalg.norm(p[0] - p[1]) for p in allCombinations]
n = blockI.shape[0]
if len(allCombsEdges) == (n * n):
adj = np.reshape(allCombsEdges, (n, n))
else:
adj = np.zeros((n, n))
G = Matrices.dense(n, n, adj.transpose().flatten())
return ((I, J), G)
def CreateInputs(input_case):
data_file = '/u/vparames/TESTS/3/test-commute-dist-' + str(
input_case) + '.mat'
inp = loadmat(data_file)
adj_mat = inp['G']
edge_list = inp['elist']
n = adj_mat.shape[0]
sm = Matrices.dense(n, n, adj_mat.transpose().flatten())
adjacency_mat = BlockMatrix(sc.parallelize([((0, 0), sm)]),
SQUARE_BLOCK_SIZE, SQUARE_BLOCK_SIZE)
return adjacency_mat, edge_list
def difun(x, vect):
if (x[0] == x[1]):
sm = SparseMatrix(
SQUARE_BLOCK_SIZE, SQUARE_BLOCK_SIZE,
np.linspace(0, SQUARE_BLOCK_SIZE, num=(SQUARE_BLOCK_SIZE + 1)),
np.linspace(0, SQUARE_BLOCK_SIZE - 1, num=SQUARE_BLOCK_SIZE),
vect[(x[0] * SQUARE_BLOCK_SIZE):((x[0] + 1) * SQUARE_BLOCK_SIZE)])
return (x, sm)
else:
h = sparse.csc_matrix((SQUARE_BLOCK_SIZE, SQUARE_BLOCK_SIZE))
return (x,
Matrices.sparse(SQUARE_BLOCK_SIZE, SQUARE_BLOCK_SIZE, h.indptr,
h.indices, h.data))
def main():
if len(sys.argv) < 2:
print('USAGE: matrix_mult.py <dim of matrix>')
return
n = int(sys.argv[1])
dm2 = Matrices.dense(n, n, np.random.randint(1, n * n, n * n).tolist())
blocks1 = sc.parallelize([((0,0), dm2)])
m2 = BlockMatrix(blocks1, n,n)
m3 = BlockMatrix(blocks1, n,n)
ret = m3.multiply(m2).toIndexedRowMatrix().toRowMatrix().rows.collect()
print('****************n:', n)
def difun(self, x, vect):
squareBlockSize = copy.deepcopy(self.squareBlockSize)
if (x[0] == x[1]):
sm = SparseMatrix(
squareBlockSize, squareBlockSize,
np.linspace(0, squareBlockSize, num=(squareBlockSize + 1)),
np.linspace(0, squareBlockSize - 1, num=squareBlockSize),
vect[(x[0] * squareBlockSize):((x[0] + 1) * squareBlockSize)])
return (x, sm)
else:
h = sparse.csc_matrix((squareBlockSize, squareBlockSize))
return (x,
Matrices.sparse(squareBlockSize, squareBlockSize, h.indptr,
h.indices, h.data))
def constructElectionBlock(pairDonations):
I = int(pairDonations[0][0])
J = int(pairDonations[1][0])
donationsI = pairDonations[0][1]
donationsJ = pairDonations[1][1]
n = donationsI.shape[0]
allCombinations = itertools.product(donationsI, donationsJ)
allCombsEdges = [edgeDefinitionElection(p[0], p[1]) for p in allCombinations]
if len(allCombsEdges) == (n*n):
adj = np.reshape(allCombsEdges, (n,n))
else:
adj = np.zeros((n,n))
if I==J:
adj[range(n), range(n)] = 0
if GENERATE_SPARSE:
G = sparse.csc_matrix(adj)
subMatrixSparse = Matrices.sparse(n, n, G.indptr, G.indices, G.data)
return ((I,J), subMatrixSparse)
else:
G = Matrices.dense(n,n, adj.transpose().flatten())
return ((I,J), G)
def createAdjMatToy(graphNodes, year, sparseG, blockSize, sc):
index = (year > 12) + 1 # 12 maps to 1, 16 maps to 2
path = 'BASE_PATH/toy_example/'
A = loadmat(path + 'toy_A' + str(index) + '.mat')['G']
n = A.shape[0]
p = n / 2
subMatrices = [A[:p,:p], A[:p,p:], A[p:,:p], A[p:,p:]]
ids, blocks = [(0,0), (0,1), (1,0), (1,1)], []
for i, id in enumerate(ids):
adj = subMatrices[i]
G = Matrices.dense(p,p, adj.transpose().flatten())
blocks.append((id, G))
blocksRdd = sc.parallelize(blocks, len(ids))
return blocksRdd
def radialBasisBlock(pairData):
I, J = int(pairData[0][0]), int(pairData[1][0])
dataI, dataJ = pairData[0][1], pairData[1][1]
n = len(dataI)
allCombinations = itertools.product(dataI, dataJ)
allCombsEdges = [radialBasisKernel(p[0], p[1]) for p in allCombinations]
print 'allCombsEdges ', len(allCombsEdges), (n*n)
if len(allCombsEdges) == (n*n):
adj = np.reshape(allCombsEdges, (n,n))
else:
adj = np.zeros((n,n))
if I==J:
adj[range(n), range(n)] = 0
G = Matrices.dense(n,n, adj.transpose().flatten())
return ((I,J), G)
def _colVectorToBlockMatrix(vec, rowsPerBlock, numSlices=None):
sc = SparkContext.getOrCreate()
remainder = len(vec) % rowsPerBlock
if rowsPerBlock >= len(vec):
splits = [vec]
elif remainder == 0:
splits = np.split(vec, len(vec) // rowsPerBlock)
else:
head = vec[:-remainder]
splits = np.split(head, len(head) // rowsPerBlock)
splits.append(vec[-remainder:])
blocks = sc.parallelize([((i, 0), OldMatrices.dense(len(split), 1, split))
for i, split in zip(range(len(splits)), splits)],
numSlices=numSlices)
return BlockMatrix(blocks, rowsPerBlock, 1, len(vec), 1)
def test_ml_mllib_matrix_conversion(self):
# to ml
# dense
mllibDM = Matrices.dense(2, 2, [0, 1, 2, 3])
mlDM1 = newlinalg.Matrices.dense(2, 2, [0, 1, 2, 3])
mlDM2 = mllibDM.asML()
self.assertEqual(mlDM2, mlDM1)
# transposed
mllibDMt = DenseMatrix(2, 2, [0, 1, 2, 3], True)
mlDMt1 = newlinalg.DenseMatrix(2, 2, [0, 1, 2, 3], True)
mlDMt2 = mllibDMt.asML()
self.assertEqual(mlDMt2, mlDMt1)
# sparse
mllibSM = Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mlSM1 = newlinalg.Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1],
[2, 3, 4])
mlSM2 = mllibSM.asML()
self.assertEqual(mlSM2, mlSM1)
# transposed
mllibSMt = SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mlSMt1 = newlinalg.SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4],
True)
mlSMt2 = mllibSMt.asML()
self.assertEqual(mlSMt2, mlSMt1)
# from ml
# dense
mllibDM1 = Matrices.dense(2, 2, [1, 2, 3, 4])
mlDM = newlinalg.Matrices.dense(2, 2, [1, 2, 3, 4])
mllibDM2 = Matrices.fromML(mlDM)
self.assertEqual(mllibDM1, mllibDM2)
# transposed
mllibDMt1 = DenseMatrix(2, 2, [1, 2, 3, 4], True)
mlDMt = newlinalg.DenseMatrix(2, 2, [1, 2, 3, 4], True)
mllibDMt2 = Matrices.fromML(mlDMt)
self.assertEqual(mllibDMt1, mllibDMt2)
# sparse
mllibSM1 = Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mlSM = newlinalg.Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mllibSM2 = Matrices.fromML(mlSM)
self.assertEqual(mllibSM1, mllibSM2)
# transposed
mllibSMt1 = SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mlSMt = newlinalg.SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4],
True)
mllibSMt2 = Matrices.fromML(mlSMt)
self.assertEqual(mllibSMt1, mllibSMt2)
def test_measures(self, targetDimension, testMeasure):
chisquare_result = ChiSquareResult()
df = self._data_frame.withColumn(
testMeasure, self._data_frame[testMeasure].cast(DoubleType()))
measureSummaryDict = dict(df.describe([testMeasure]).toPandas().values)
if float(measureSummaryDict["count"]) > 10:
maxval = float(measureSummaryDict["max"])
minval = float(measureSummaryDict["min"])
step = (maxval - minval) / 5.0
splits = [
math.floor(minval), minval + step, minval + (step * 2),
minval + (step * 3), minval + (step * 4),
math.ceil(maxval)
]
bucketizer = Bucketizer(splits=splits,
inputCol=testMeasure,
outputCol="bucketedColumn")
# bucketedData = bucketizer.transform(df)
bucketedData = bucketizer.transform(df.na.drop(subset=testMeasure))
pivot_table = bucketedData.stat.crosstab(
"{}".format(targetDimension), 'bucketedColumn')
else:
pivot_table = df.stat.crosstab("{}".format(targetDimension),
testMeasure)
rdd = list(
chain(*zip(*pivot_table.drop(pivot_table.columns[0]).collect())))
data_matrix = Matrices.dense(pivot_table.count(),
len(pivot_table.columns) - 1, rdd)
result = Statistics.chiSqTest(data_matrix)
chisquare_result.set_params(result)
freq_table = self._get_contingency_table_of_freq(pivot_table)
freq_table.update_col2_names(splits)
freq_table.set_tables()
chisquare_result.set_table_result(freq_table)
# Cramers V Calculation
stat_value = result.statistic
n = freq_table.get_total()
t = min(len(freq_table.column_one_values),
len(freq_table.column_two_values))
v_value = math.sqrt(float(stat_value) / (n * float(t)))
chisquare_result.set_v_value(v_value)
chisquare_result.set_split_values([float(x) for x in splits])
# chisquare_result.set_buckeddata(bucketedData)
return chisquare_result
def test_ml_mllib_matrix_conversion(self):
# to ml
# dense
mllibDM = Matrices.dense(2, 2, [0, 1, 2, 3])
mlDM1 = newlinalg.Matrices.dense(2, 2, [0, 1, 2, 3])
mlDM2 = mllibDM.asML()
self.assertEqual(mlDM2, mlDM1)
# transposed
mllibDMt = DenseMatrix(2, 2, [0, 1, 2, 3], True)
mlDMt1 = newlinalg.DenseMatrix(2, 2, [0, 1, 2, 3], True)
mlDMt2 = mllibDMt.asML()
self.assertEqual(mlDMt2, mlDMt1)
# sparse
mllibSM = Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mlSM1 = newlinalg.Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mlSM2 = mllibSM.asML()
self.assertEqual(mlSM2, mlSM1)
# transposed
mllibSMt = SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mlSMt1 = newlinalg.SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mlSMt2 = mllibSMt.asML()
self.assertEqual(mlSMt2, mlSMt1)
# from ml
# dense
mllibDM1 = Matrices.dense(2, 2, [1, 2, 3, 4])
mlDM = newlinalg.Matrices.dense(2, 2, [1, 2, 3, 4])
mllibDM2 = Matrices.fromML(mlDM)
self.assertEqual(mllibDM1, mllibDM2)
# transposed
mllibDMt1 = DenseMatrix(2, 2, [1, 2, 3, 4], True)
mlDMt = newlinalg.DenseMatrix(2, 2, [1, 2, 3, 4], True)
mllibDMt2 = Matrices.fromML(mlDMt)
self.assertEqual(mllibDMt1, mllibDMt2)
# sparse
mllibSM1 = Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mlSM = newlinalg.Matrices.sparse(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4])
mllibSM2 = Matrices.fromML(mlSM)
self.assertEqual(mllibSM1, mllibSM2)
# transposed
mllibSMt1 = SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mlSMt = newlinalg.SparseMatrix(2, 2, [0, 2, 3], [0, 1, 1], [2, 3, 4], True)
mllibSMt2 = Matrices.fromML(mlSMt)
self.assertEqual(mllibSMt1, mllibSMt2)
def create_design_mat(tuple):
twtname = tuple[0]
word_tfs_str = tuple[1]
i = 0
twt_word_ind_dict = {}
for spl in word_tfs_str.split(inter_tweet_delim):
word = spl.split(in_tweet_delim)[0]
tfidf = float(spl.split(in_tweet_delim)[1].strip())
ind = word_index_dict_bcast.value[word]
twt_word_ind_dict[ind] = tfidf
design_row = []
while i < total_tweet_words_bcast.value:
design_row.append(twt_word_ind_dict.get(i, float(0)))
i = i + 1
sparse_des_row = Matrices.dense(1, total_tweet_words_bcast.value,design_row).toSparse()
# return the float design matrix rw for tweetname
return (twtname, sparse_des_row)
def test_dimension(self, targetDimension, testDimension):
if not targetDimension in self._dataframe_helper.get_string_columns():
raise BIException.non_string_column(testDimension)
chisquare_result = ChiSquareResult()
if self._pandas_flag:
pivot_table = pd.crosstab([self._data_frame[targetDimension]],
self._data_frame[testDimension])
try:
data_matrix = np.array(
pivot_table.as_matrix(columns=None)).astype(np.int)
except:
data_matrix = np.array(pivot_table.values).astype(np.int)
else:
pivot_table = self._data_frame.stat.crosstab(
"{}".format(targetDimension), testDimension)
# rdd = pivot_table.rdd.flatMap(lambda x: x).filter(lambda x: str(x).isdigit()).collect()
rdd = list(
chain(*list(
zip(*pivot_table.drop(pivot_table.columns[0]).collect()))))
data_matrix = Matrices.dense(pivot_table.count(),
len(pivot_table.columns) - 1, rdd)
data_matrix = data_matrix.toArray().tolist()
result = chi2_contingency(data_matrix)
chisquare_result.set_params(result)
freq_table = self._get_contingency_table_of_freq(pivot_table,
need_sorting=True)
freq_table.set_tables()
chisquare_result.set_table_result(freq_table)
# Cramers V Calculation
stat_value = result[0]
n = freq_table.get_total()
t = min(len(freq_table.column_one_values),
len(freq_table.column_two_values))
v_value = math.sqrt(float(stat_value) / (n * float(t)))
chisquare_result.set_v_value(v_value)
self._dataframe_helper.add_chisquare_significant_dimension(
testDimension, v_value)
return chisquare_result
def eye(n):
m = np.eye(n, n)
m = Matrices.dense(n, n, m.flatten().tolist())
return m
from __future__ import print_function
#Section 7.2.1
from pyspark.mllib.linalg import Vectors, Vector
dv1 = Vectors.dense(5.0,6.0,7.0,8.0)
dv2 = Vectors.dense([5.0,6.0,7.0,8.0])
sv = Vectors.sparse(4, [0,1,2,3], [5.0,6.0,7.0,8.0])
dv2[2]
dv1.size
dv2.toArray()
from pyspark.mllib.linalg import Matrices
dm = Matrices.dense(2,3,[5.0,0.0,0.0,3.0,1.0,4.0])
sm = Matrices.sparse(2,3,[0,1,2,4], [0,1,0,1], [5.0,3.0,1.0,4.0])
sm.toDense()
dm.toSparse()
dm[1,1]
#Section 7.2.2
from pyspark.mllib.linalg.distributed import IndexedRowMatrix, IndexedRow
rmind = IndexedRowMatrix(rm.rows().zipWithIndex().map(lambda x: IndexedRow(x[1], x[0])))
#Section 7.4
housingLines = sc.textFile("first-edition/ch07/housing.data", 6)
housingVals = housingLines.map(lambda x: Vectors.dense([float(v.strip()) for v in x.split(",")]))
#Section 7.4.1
from pyspark.mllib.linalg.distributed import RowMatrix
housingMat = RowMatrix(housingVals)
from pyspark.mllib.stat._statistics import Statistics
if __name__ == "__main__":
sc = SparkContext(appName="HypothesisTestingExample")
# $example on$
vec = Vectors.dense(0.1, 0.15, 0.2, 0.3, 0.25) # a vector composed of the frequencies of events
# compute the goodness of fit. If a second vector to test against
# is not supplied as a parameter, the test runs against a uniform distribution.
goodnessOfFitTestResult = Statistics.chiSqTest(vec)
# summary of the test including the p-value, degrees of freedom,
# test statistic, the method used, and the null hypothesis.
print("%s\n" % goodnessOfFitTestResult)
mat = Matrices.dense(3, 2, [1.0, 3.0, 5.0, 2.0, 4.0, 6.0]) # a contingency matrix
# conduct Pearson's independence test on the input contingency matrix
independenceTestResult = Statistics.chiSqTest(mat)
# summary of the test including the p-value, degrees of freedom,
# test statistic, the method used, and the null hypothesis.
print("%s\n" % independenceTestResult)
obs = sc.parallelize(
[LabeledPoint(1.0, [1.0, 0.0, 3.0]),
LabeledPoint(1.0, [1.0, 2.0, 0.0]),
LabeledPoint(1.0, [-1.0, 0.0, -0.5])]
) # LabeledPoint(label, feature)
# The contingency table is constructed from an RDD of LabeledPoint and used to conduct
from pyspark.mllib.linalg import SparseVector from pyspark.mllib.regression import LabeledPoint # Labelled point with a positive label and a dense feature vector. lp_pos = LabeledPoint(1.0, [5.0, 0.0, 1.0, 7.0]) # Labelled point with a negative label and a sparse feature vector. lp_neg = LabeledPoint(0.0, SparseVector(4, [0, 2, 3], [5.0, 1.0, 7.0])) # # Local Matrix # from pyspark.mllib.linalg import Matrix, Matrices # Dense matrix ((1.0, 2.0, 3.0), (4.0, 5.0, 6.0)) dMatrix = Matrices.dense(2, 3, [1, 2, 3, 4, 5, 6]) # Sparse matrix ((9.0, 0.0), (0.0, 8.0), (0.0, 6.0)) sMatrix = Matrices.sparse(3, 2, [0, 1, 3], [0, 2, 1], [9, 6, 8]) # # Code Plan # # # 1- Combine all tweets files into a single data frame # 2- Parse the Tweets - remove stopwords - extract emoticons - extract url - normalize your words (e.g., mapping them to lowercase and removing punctuation and numbers) # 3- Feature extraction # 3a- Tokenisation # 3b- TF-IDF # 3c- Hash TF-IDF # 4- Run K-Means clustering
from pyspark.mllib.regression import LabeledPoint
from pyspark.mllib.stat import Statistics
sc = SparkContext("local", "Rubbish")
"""
# RDD of Vectors
data = sc.parallelize([Vectors.dense([2, 0, 0, -2]),
Vectors.dense([4, 5, 0, 3]),
Vectors.dense([6, 7, 0, 8])])
"""
# Sample vector composing of frequency of events
vect = Vectors.dense([4,5,0,3])
# Summary of the test including the p-value, degrees of freedom,
goodnessOfFitTestResult = Statistics.chiSqTest(vect)
sampleData = [40.0, 24.0, 29.0, 56.0, 32.0, 42.0, 31.0, 10.0, 0.0, 30.0, 15.0, 12.0]
matrix = Matrices.dense(3,4, sampleData)
# Conduct Pearson's independence test on the input contingency matrix
independenceTestResult = Statistics.chiSqTest(matrix)
# Test statistic, the method used, and the null hypothesis.
print "SINGLE VECTOR FIT: "
print goodnessOfFitTestResult
## Summary of the test including the p-value, degrees of freedom.
print "INDEPENDENCE TEST RESULT: "
print independenceTestResult