#distmult

Question 1: Select all that apply

hardAI-checkedKnowledge Representation & Reasoning

DistMult scores a triple by $\langle \mathbf{e}_s, \mathbf{r}, \mathbf{e}_o \rangle = \sum_k e_{s,k}\, r_k\, e_{o,k}$ , i.e. $\mathbf{e}_s^\top \mathrm{diag}(\mathbf{r})\, \mathbf{e}_o$ . ComplEx uses complex vectors and scores $\mathrm{Re}\left(\sum_k e_{s,k}\, r_k\, \overline{e_{o,k}}\right)$ . Which statements are true? Select all that apply.

DistMult gives $(s, r, o)$ and $(o, r, s)$ the same score, so it cannot model antisymmetric relations1
ComplEx can model antisymmetric relations because of the complex conjugate on the object2
If a ComplEx relation vector has zero imaginary part, its scores are symmetric3
DistMult gives each relation a full $D \times D$ matrix4
ComplEx replaces the products of DistMult by sums of real vectors5

Timed test