More explanation about the core code

[wanpifeng4ever]

Hi,
I recently read the paper and cannot understand the idea of Analogy Model and also its implementation. It seems that the score function in line 574~590 of the main.cpp is the hybrid between Distmult and ComplEx models. How exactly is it related to the formulation of Analogy model in the paper?
Thanks for any help.

[quark0]

You're right that it can be viewed as the hybrid of DistMult and ComplEx. Let's assume the relational matrix in ANALOGY consists of $a$ real scalars and $b$ 2x2 blocks, it is not hard to verify that its score function can be decomposed as the summation of the DistMult score of embedding size $a$ and the ComplEx score involving $b/2$ complex numbers.