Static Word Embeddings

Continuous Bag-of-Words Word2Vec

Introduced by Mikolov et al. in Efficient Estimation of Word Representations in Vector Space

Continuous Bag-of-Words Word2Vec is an architecture for creating word embeddings that uses $n$ future words as well as $n$ past words to create a word embedding. The objective function for CBOW is:

$$ J_\theta = \frac{1}{T}\sum^{T}_{t=1}\log{p}\left(w_{t}\mid{w}_{t-n},\ldots,w_{t-1}, w_{t+1},\ldots,w_{t+n}\right) $$

In the CBOW model, the distributed representations of context are used to predict the word in the middle of the window. This contrasts with Skip-gram Word2Vec where the distributed representation of the input word is used to predict the context.

Source: Efficient Estimation of Word Representations in Vector Space

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