bilinear

defined by the vector space V on the coefficient body F bilinear format B: V × V → F is

• $B(u + v, w) = B(u, w) + B(v, w)$
• $B(u, v + w) = B(u, v) + B(u, w)$
• $B(\lambda u, v) = B(u, \lambda v) = \lambda B(u, v)$ Satisfy the following.

As a concrete example, consider the inner product $B(u, v) = u \cdot v$, which satisfies the above conditions.

relevance - bilinear model - log-bilinear model - bilinearity

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