CPC: The Bilinear Compatibility Score
Beginner
The problem, from first principles
CPC scores each candidate future with a bilinear function of the context and the future latent. The matrix W is learned, and it lets the score depend on the relation between the two vectors, not only on their dot product.
From theory to code
Implement bilinear_score(c, W, z), returning c^T W z.
Constraints
Wneed not be square.
Hints
Hint 1
Multiply the context by the matrix, then dot with the latent.
Keywords
research-papersunsupervisedpredictive-codingcontrastive
Python
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