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from datetime import datetime
class Apriori():
def __init__(self, dataset):
self.dataset = dataset
self.support_data = {}
self.freq_itemsets = []
self.t_num = float(len(self.dataset))
def __create_C1(self):
"""
Create frequent candidate 1-itemset C1 by scaning data set.
Args:
data_set: A list of transactions. Each transaction contains several items.
Returns:
C1: A set which contains all frequent candidate 1-itemsets
"""
C1 = set()
for t in self.dataset:
for item in t:
item_set = frozenset([item])
C1.add(item_set)
return C1
def __is_apriori(self, Ck_item, Lksub1):
"""
Judge whether a frequent candidate k-itemset satisfy Apriori property.
Args:
Ck_item: a frequent candidate k-itemset in Ck which contains all frequent
candidate k-itemsets.
Lksub1: Lk-1, a set which contains all frequent candidate (k-1)-itemsets.
Returns:
True: satisfying Apriori property.
False: Not satisfying Apriori property.
"""
for item in Ck_item:
sub_Ck = Ck_item - frozenset([item])
if sub_Ck not in Lksub1:
return False
return True
def __create_Ck(self, Lksub1, k):
"""
Create Ck, a set which contains all all frequent candidate k-itemsets
by Lk-1's own connection operation.
Args:
Lksub1: Lk-1, a set which contains all frequent candidate (k-1)-itemsets.
k: the item number of a frequent itemset.
Return:
Ck: a set which contains all all frequent candidate k-itemsets.
"""
Ck = set()
len_Lksub1 = len(Lksub1)
list_Lksub1 = list(Lksub1)
for i in range(len_Lksub1):
for j in range(1, len_Lksub1):
l1 = list(list_Lksub1[i])
l2 = list(list_Lksub1[j])
l1.sort()
l2.sort()
if l1[0:k-2] == l2[0:k-2]:
Ck_item = list_Lksub1[i] | list_Lksub1[j]
# pruning
if self.__is_apriori(Ck_item, Lksub1):
Ck.add(Ck_item)
return Ck
def __generate_Lk_by_Ck(self, Ck, min_sup):
"""
Generate Lk by executing a delete policy from Ck.
Args:
data_set: A list of transactions. Each transaction con tains several items.
Ck: A set which contains all all frequent candidate k-itemsets.
min_sup: The minimum support.
support_data: A dictionary. The key is frequent itemset and the value is support.
Returns:
Lk: A set which contains all all frequent k-itemsets.
"""
Lk = set()
item_count = {}
for t in self.dataset:
for item in Ck:
if item.issubset(t):
if item not in item_count:
item_count[item] = 1
else:
item_count[item] += 1
for item in item_count:
if (item_count[item] / self.t_num) >= min_sup:
Lk.add(item)
self.support_data[item] = item_count[item] / self.t_num
return Lk
def generate_L(self, min_sup):
"""
Generate all frequent itemsets.
Args:
data_set: A list of transactions. Each transaction contains several items.
k: Maximum number of items for all frequent itemsets.
min_sup: The minimum support.
Returns:
L: The list of Lk.
support_data: A dictionary. The key is frequent itemset and the value is support.
"""
start = datetime.now()
C1 = self.__create_C1()
deltatime = datetime.now() - start
create_Ck_time = deltatime.seconds + deltatime.microseconds / 1000000
start = datetime.now()
L1 = self.__generate_Lk_by_Ck(C1, min_sup)
deltatime = datetime.now() - start
generate_Lk_time = deltatime.seconds + deltatime.microseconds / 1000000
Lksub1 = L1.copy()
for lk_i in Lksub1:
self.freq_itemsets.append((lk_i, self.support_data[lk_i]))
i = 2
while True:
start = datetime.now()
Ci = self.__create_Ck(Lksub1, i)
deltatime = datetime.now() - start
create_Ck_time += deltatime.seconds + deltatime.microseconds / 1000000
start = datetime.now()
Li = self.__generate_Lk_by_Ck(Ci, min_sup)
deltatime = datetime.now() - start
generate_Lk_time += deltatime.seconds + deltatime.microseconds / 1000000
Lksub1 = Li.copy()
if len(Lksub1) == 0:
break
for lk_i in Lksub1:
self.freq_itemsets.append((lk_i, self.support_data[lk_i]))
i += 1
print("Create Ck time (s): ", create_Ck_time)
print("Generate Lk time (s): ", generate_Lk_time)
return self.freq_itemsets
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