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DCF.py
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210 lines (189 loc) · 8.44 KB
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# -*- coding: utf-8 -*-
import numpy as np
import scipy.linalg as la
from collections import defaultdict
from math import log
class DCF:
code_len = 4
alpha = 2
beta = 2
threshold = 1e-4
max_iter = 50
user = {}
item = {}
id2user = {}
id2item = {}
u_i_r = defaultdict(dict)
i_u_r = defaultdict(dict)
minVal = 1
maxVal = 5
train_data_path = '../data/ML100k_new/ML100k_train_new.txt'
valid_data_path = '../data/ML100k_new/ML100k_valid_new.txt'
test_data_path = '../data/ML100k_new/ML100k_test_new.txt'
def init_model(self):
self.generate_hash()
self.rating_matrix, self.rating_matrix_bin, self.globalmean = self.get_rating_matrix()
self.B = np.sign(np.array(np.random.randn(len(self.user), self.code_len) / (self.code_len ** 0.5)))
self.D = np.sign(np.array(np.random.randn(len(self.item), self.code_len) / (self.code_len ** 0.5)))
self.X = self.update_X_Y(self.B)
self.Y = self.update_X_Y(self.D)
self.loss, self.last_delta_loss = 0.0, 0.0
def trainSet(self):
with open(self.train_data_path, 'r') as f:
for index, line in enumerate(f):
u, i, r = line.strip('\r\n').split(',')
r = 2 * self.code_len * (float(int(r) - self.minVal) / (self.maxVal - self.minVal) + 0.01) - self.code_len
yield (int(u), int(i), float(r))
def valid_test_Set(self, path):
with open(path, 'r') as f:
for index, line in enumerate(f):
u, i, r = line.strip('\r\n').split(',')
# r = 2 * self.code_len * (float(int(r) - self.minVal) / (self.maxVal - self.minVal) + 0.01) - self.code_len
yield (int(u), int(i), float(r))
def generate_hash(self):
for index, line in enumerate(self.trainSet()):
user_id, item_id, rating = line
self.u_i_r[user_id][item_id] = rating
self.i_u_r[item_id][user_id] = rating
if user_id not in self.user:
self.user[user_id] = len(self.user)
self.id2user[self.user[user_id]] = user_id
if item_id not in self.item:
self.item[item_id] = len(self.item)
self.id2item[self.item[item_id]] = item_id
def get_rating_matrix(self):
rating_matrix = np.zeros((len(self.user), len(self.item))) # (943, 1596)
globalmean = 0.0
for index, line in enumerate(self.trainSet()):
user_id, item_id, rating = line
globalmean += rating
rating_matrix[self.user[user_id]][self.item[item_id]] = int(rating)
rating_matrix_bin = (rating_matrix > 0).astype('int')
globalmean = globalmean / (len(self.user))
return rating_matrix, rating_matrix_bin, globalmean
def calDCG_k(self, dictdata, k):
nDCG = []
for key in dictdata.keys():
listdata = dictdata[key]
real_value_list = sorted(listdata, key=lambda x: x[1], reverse=True)
idcg = 0.0
predict_value_list = sorted(listdata, key=lambda x: x[0], reverse=True)
dcg = 0.0
if len(listdata) >= k:
for i in range(k):
idcg += (pow(2, real_value_list[i][1]) - 1) / (log(i + 2, 2))
dcg += (pow(2, predict_value_list[i][1]) - 1) / (log(i + 2, 2))
if(idcg != 0):
nDCG.append(float(dcg / idcg))
else:
continue
ave_ndcg = np.mean(nDCG)
# print(nDCG)
return ave_ndcg
def train_model(self):
iteration = 0
last_loss = 0.0
while(iteration < self.max_iter):
master_flag = 0
iteration += 1
# print('update B')
for u in range(len(self.user)):
while(1):
flag = 0
bu = self.B[u, :]
# print(self.B[:, u])
for k in range(self.code_len):
dk = self.D[:, k]
buk_hat = np.sum((self.rating_matrix[u, :] - np.dot(self.D, bu.T)) * dk * self.rating_matrix_bin[u, :])\
+ self.alpha * self.X[u, k] + len(self.u_i_r[self.id2user[u]]) * bu[k]
buk_new = np.sign(self.K(buk_hat, bu[k]))
if(bu[k] != buk_new):
flag = 1
bu[k] = buk_new
if(flag == 0):
break
self.B[u, :] = bu
master_flag = 1
# print('update D')
for i in range(len(self.item)):
while(1):
flag = 0
di = self.D[i, :]
for k in range(self.code_len):
bk = self.B[:, k]
dik_hat = np.sum((self.rating_matrix[:, i] - np.dot(self.B, di.T)) * bk * self.rating_matrix_bin[:, i])\
+ self.beta * self.Y[i, k] + len(self.i_u_r[self.id2item[i]]) * di[k]
dik_new = np.sign(self.K(dik_hat, di[k]))
if(di[k] != dik_new):
flag = 1
di[k] = dik_new
if(flag == 0):
break
self.D[i, :] = di
master_flag = 1
self.X = self.update_X_Y(self.B)
self.Y = self.update_X_Y(self.D)
self.loss = np.sum((self.rating_matrix - np.dot(self.B, (self.D).T)) ** 2 * self.rating_matrix_bin) \
- 2 * self.alpha * np.trace(np.dot((self.B).T, self.X)) - 2 * self.beta * np.trace(np.dot((self.D).T, self.Y))
valid_ndcg_10 = self.valid_test_model(self.valid_data_path)
delta_loss = self.loss - last_loss
print('iteration %d: loss = %.5f, delta_loss = %.5f valid_NDCG@10=%.5f' %
(iteration, self.loss, delta_loss, valid_ndcg_10))
if(master_flag == 0):
break
if(abs(delta_loss) < self.threshold or abs(delta_loss) == abs(self.last_delta_loss)):
break
self.last_delta_loss = delta_loss
last_loss = self.loss
test_ndcg_10 = self.valid_test_model(self.test_data_path)
print('test NGCD@10 = %.5f' %(test_ndcg_10))
def K(self, x, y):
return x if x != 0 else y
def containUser(self, user_id):
if user_id in self.user:
return True
else:
return False
def containItem(self, item_id):
if item_id in self.item:
return True
else:
return False
def valid_test_model(self, path):
pre_true_dict = defaultdict(list)
for index, line in enumerate(self.valid_test_Set(path)):
user_id, item_id, rating = line
if(self.containUser(user_id) and self.containItem(item_id)):
bu = self.B[self.user[user_id], :]
di = self.D[self.item[item_id], :]
pre = np.dot(bu, di)
elif(self.containUser(user_id) and not self.containItem(item_id)):
pre = sum(self.u_i_r[user_id].values()) / float(len(self.u_i_r[user_id]))
elif(not self.containUser(user_id) and self.containItem(item_id)):
pre = sum(self.i_u_r[item_id].values()) / float(len(self.i_u_r[item_id]))
else:
pre = self.globalmean
pre_true_dict[user_id].append([pre, rating])
ndcg_10 = self.calDCG_k(pre_true_dict, 10)
return ndcg_10
def gram_schmidt(self, X):
Q, R = la.qr(X)
return Q
def update_X_Y(self, Z):
temp_Z = Z.T
Z_bar = temp_Z - temp_Z.mean(axis=1)[:, np.newaxis] #(943, code_len)
# print(Z_bar.shape)
SVD_Z = la.svd(Z_bar, full_matrices=False)
Q = SVD_Z[2].T
# print(Q.shape)
if Q.shape[1] < self.code_len:
Q = self.gram_schmidt(np.c_[Q, np.ones((Q.shape[0], self.code_len - Q.shape[1]))])
P = la.svd(np.dot(Z_bar, Z_bar.T))[0]
Z_new = np.sqrt(temp_Z.shape[1]) * np.dot(P, Q.T)
return Z_new.T
def main(self):
self.init_model()
self.train_model()
if __name__ == '__main__':
dcf = DCF()
dcf.main()