Word2Vec from scratch#
This self-contained implementation is instructive and you should go through it to understand the word2vec embedding.
import numpy as np
import re
from collections import defaultdict
class word2vec():
def __init__ (self):
self.n = settings['n']
self.eta = settings['learning_rate']
self.epochs = settings['epochs']
self.window = settings['window_size']
pass
# GENERATE TRAINING DATA
def generate_training_data(self, settings, corpus):
# GENERATE WORD COUNTS
word_counts = defaultdict(int)
for row in corpus:
for word in row:
word_counts[word] += 1
self.v_count = len(word_counts.keys())
# GENERATE LOOKUP DICTIONARIES
self.words_list = sorted(list(word_counts.keys()),reverse=False)
self.word_index = dict((word, i) for i, word in enumerate(self.words_list))
self.index_word = dict((i, word) for i, word in enumerate(self.words_list))
training_data = []
# CYCLE THROUGH EACH SENTENCE IN CORPUS
for sentence in corpus:
sent_len = len(sentence)
# CYCLE THROUGH EACH WORD IN SENTENCE
for i, word in enumerate(sentence):
#w_target = sentence[i]
w_target = self.word2onehot(sentence[i])
# CYCLE THROUGH CONTEXT WINDOW
w_context = []
for j in range(i-self.window, i+self.window+1):
if j!=i and j<=sent_len-1 and j>=0:
w_context.append(self.word2onehot(sentence[j]))
training_data.append([w_target, w_context])
return np.array(training_data)
# SOFTMAX ACTIVATION FUNCTION
def softmax(self, x):
e_x = np.exp(x - np.max(x))
return e_x / e_x.sum(axis=0)
# CONVERT WORD TO ONE HOT ENCODING
def word2onehot(self, word):
word_vec = [0 for i in range(0, self.v_count)]
word_index = self.word_index[word]
word_vec[word_index] = 1
return word_vec
# FORWARD PASS
def forward_pass(self, x):
h = np.dot(self.w1.T, x)
u = np.dot(self.w2.T, h)
y_c = self.softmax(u)
return y_c, h, u
# BACKPROPAGATION
def backprop(self, e, h, x):
dl_dw2 = np.outer(h, e)
dl_dw1 = np.outer(x, np.dot(self.w2, e.T))
# UPDATE WEIGHTS
self.w1 = self.w1 - (self.eta * dl_dw1)
self.w2 = self.w2 - (self.eta * dl_dw2)
pass
# TRAIN W2V model
def train(self, training_data):
# INITIALIZE WEIGHT MATRICES
self.w1 = np.random.uniform(-0.8, 0.8, (self.v_count, self.n)) # embedding matrix
self.w2 = np.random.uniform(-0.8, 0.8, (self.n, self.v_count)) # context matrix
# CYCLE THROUGH EACH EPOCH
for i in range(0, self.epochs):
self.loss = 0
# CYCLE THROUGH EACH TRAINING SAMPLE
for w_t, w_c in training_data:
# FORWARD PASS
y_pred, h, u = self.forward_pass(w_t)
# CALCULATE ERROR
EI = np.sum([np.subtract(y_pred, word) for word in w_c], axis=0)
# BACKPROPAGATION
self.backprop(EI, h, w_t)
# CALCULATE LOSS
self.loss += -np.sum([u[word.index(1)] for word in w_c]) + len(w_c) * np.log(np.sum(np.exp(u)))
#self.loss += -2*np.log(len(w_c)) -np.sum([u[word.index(1)] for word in w_c]) + (len(w_c) * np.log(np.sum(np.exp(u))))
print('EPOCH:',i, 'LOSS:', self.loss)
pass
# input a word, returns a vector (if available)
def word_vec(self, word):
w_index = self.word_index[word]
v_w = self.w1[w_index]
return v_w
# input a vector, returns nearest word(s)
def vec_sim(self, vec, top_n):
# CYCLE THROUGH VOCAB
word_sim = {}
for i in range(self.v_count):
v_w2 = self.w1[i]
theta_num = np.dot(vec, v_w2)
theta_den = np.linalg.norm(vec) * np.linalg.norm(v_w2)
theta = theta_num / theta_den
word = self.index_word[i]
word_sim[word] = theta
words_sorted = sorted(word_sim.items(), key=lambda item: item[1], reverse=True)
for word, sim in words_sorted[:top_n]:
print(word, sim)
pass
# input word, returns top [n] most similar words
def word_sim(self, word, top_n):
w1_index = self.word_index[word]
v_w1 = self.w1[w1_index]
# CYCLE THROUGH VOCAB
word_sim = {}
for i in range(self.v_count):
v_w2 = self.w1[i]
theta_num = np.dot(v_w1, v_w2)
theta_den = np.linalg.norm(v_w1) * np.linalg.norm(v_w2)
theta = theta_num / theta_den
word = self.index_word[i]
word_sim[word] = theta
words_sorted = sorted(word_sim.items(), key=lambda item: item[1], reverse=True)
for word, sim in words_sorted[:top_n]:
print(word, sim)
pass
settings = {}
settings['n'] = 5 # dimension of word embeddings
settings['window_size'] = 2 # context window +/- center word
settings['min_count'] = 0 # minimum word count
settings['epochs'] = 30000 # number of training epochs
settings['neg_samp'] = 10 # number of negative words to use during training
settings['learning_rate'] = 0.01 # learning rate
np.random.seed(0) # set the seed for reproducibility
corpus = [['the','quick','brown','fox','jumped','over','the','lazy','dog']]
# INITIALIZE W2V MODEL
w2v = word2vec()
# generate training data
training_data = w2v.generate_training_data(settings, corpus)
# train word2vec model
w2v.train(training_data)
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/tmp/ipykernel_482824/2817892463.py:49: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.
return np.array(training_data)
print('WORD EMBEDDINGS:', w2v.w1)
WORD EMBEDDINGS: [[-2.23674708 1.03244829 0.82157013 -0.64676677 -2.22089404]
[ 1.56739884 1.02944415 -0.20785105 3.55926319 -0.97603172]
[ 0.0606542 -0.40922824 1.26143234 -3.78443936 0.58368752]
[-0.34960732 -3.00731856 1.11198674 0.42891148 0.69661937]
[ 0.8663663 -2.10375673 -2.65276693 0.95982568 -1.21829331]
[ 0.07597795 0.90009406 2.74946442 2.05932677 -1.01954995]
[-2.66610952 -1.54780811 0.29743046 0.43074061 2.38359804]
[ 1.0461709 0.47387405 -0.1179152 -0.62239887 0.44490241]]