ReFactorGNNs

In this section, we prove Theorem 1, which we restate here for convenience. Note that the component " " (highlighted in red) in Equation (18) is a sum " (highlighted in blue) is a term that contains State-of-the-art FMs are often trained with training strategies adapted for each model category. In general, we can interpret any auxiliary variable introduced by the optimizer (e.g. the velocity) as However, the specific equations would depend on the optimizer's dynamics and would be hard to The two main design choices in Theorem A.1 are 1) the score function In the paper, we chose DistMult and GD because of their mathematical simplicity, leading to easier-to-read formulas. In this paper, we describe the results on FB15K237_v1_ind under some random seed. One implementation for such evaluation can be found in GraIL's codebase.