Word2vec algorithm

Oct 1, 201426 likes12,351 views

Word2vec works by using documents to train a neural network model to learn word vectors that encode the words' semantic meanings. It trains the model to predict a word's context by learning vector representations of words. It then represents sentences as the average of the word vectors, and constructs a similarity matrix between sentences to score them using PageRank to identify important summary sentences.

How Does word2vec Work?
Andrew Koo - Insight Data Science

word2vec (Google, 2013)
• Use documents to train a neural network model
maximizing the conditional probability of context given the
word
• Apply the trained model to each word to get its
corresponding vector
• Calculate the vector of sentences by averaging the vector
of their words
• Construct the similarity matrix between sentences
• Use Pagerank to score the sentences in graph

1. Use documents to train a neural
network model maximizing the conditional
probability of context given the word
The goal is to optimize the parameters (Θ) maximizing the
conditional probability of context (c) given the word (w). D is the set
of all (w, c) pairs
For example: I ate a “????” at McDonald last night is more likely
given Big Mac

2. Apply the model to each word
to get its corresponding vector
word vector
(0.12, 0.23, 0.56)
(0.24, 0.65, 0.72)
(0.38, 0.42, 0.12)
(0.57, 0.01, 0.02)
(0.53, 0.68, 0.91)
(0.11, 0.27, 0.45)
(0.01, 0.05, 0.62)
The
Cardinals
will
win
the
world
series

3. Calculate the vector of sentences
by averaging the vector of their words
word vector
(0.12, 0.23, 0.56)
(0.24, 0.65, 0.72)
(0.38, 0.42, 0.12)
(0.57, 0.01, 0.02)
(0.53, 0.68, 0.91)
(0.11, 0.27, 0.45)
(0.01, 0.05, 0.62)
The
Cardinals
will
win
the
world
series
sentence vector
(0.28, 0.33, 0.49)

4. Construct the similarity
matrix between sentences
1
0.366
0.243
0.564
0.720
Sentence Vector
S’1
S’2
S’3
S’4
S’5
0.366
1
0.623
0.132
0.189
0.243
0.623
1
0.014
0.523
0.564
0.132
0.014
1
0.002
matrix * matrix.T similarity matrix
0.720
0.189
0.523
0.002
1

5. Use Pagerank to score the
sentences in graph
• Rank the sentences
with underlying
assumption that
“summary sentences”
are similar to most
other sentences

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Word2vec algorithm

1. How Does word2vec Work? Andrew Koo - Insight Data Science

2. word2vec (Google, 2013) • Use documents to train a neural network model maximizing the conditional probability of context given the word • Apply the trained model to each word to get its corresponding vector • Calculate the vector of sentences by averaging the vector of their words • Construct the similarity matrix between sentences • Use Pagerank to score the sentences in graph

3. 1. Use documents to train a neural network model maximizing the conditional probability of context given the word The goal is to optimize the parameters (Θ) maximizing the conditional probability of context (c) given the word (w). D is the set of all (w, c) pairs For example: I ate a “????” at McDonald last night is more likely given Big Mac

4. 2. Apply the model to each word to get its corresponding vector word vector (0.12, 0.23, 0.56) (0.24, 0.65, 0.72) (0.38, 0.42, 0.12) (0.57, 0.01, 0.02) (0.53, 0.68, 0.91) (0.11, 0.27, 0.45) (0.01, 0.05, 0.62) The Cardinals will win the world series

5. 3. Calculate the vector of sentences by averaging the vector of their words word vector (0.12, 0.23, 0.56) (0.24, 0.65, 0.72) (0.38, 0.42, 0.12) (0.57, 0.01, 0.02) (0.53, 0.68, 0.91) (0.11, 0.27, 0.45) (0.01, 0.05, 0.62) The Cardinals will win the world series sentence vector (0.28, 0.33, 0.49)

6. 4. Construct the similarity matrix between sentences 1 0.366 0.243 0.564 0.720 Sentence Vector S’1 S’2 S’3 S’4 S’5 0.366 1 0.623 0.132 0.189 0.243 0.623 1 0.014 0.523 0.564 0.132 0.014 1 0.002 matrix * matrix.T similarity matrix 0.720 0.189 0.523 0.002 1

7. 5. Use Pagerank to score the sentences in graph • Rank the sentences with underlying assumption that “summary sentences” are similar to most other sentences

Word2vec algorithm

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