SimplE

Tags: #machine learning #KG

Equation

$$s(e_{i}, r, e_{j}) = \frac{1}{2}( + )$$

Latex Code

                                 s(e_{i}, r, e_{j}) = \frac{1}{2}( + )
                            

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Introduction

Equation



Latex Code

            s(e_{i}, r, e_{j}) = \frac{1}{2}( + )
        

Explanation

The similarity function for a triple (e1 , r , e2 ) is ?he1 , vr , te2 ?. SimplE considers two vectors he,te ? Rd as the embedding of each entity (similar to CP), and two vectors vr , vr?1 ? Rd for each relation r. The similarity function of SimplE foratriple(ei,r,ej)isdefinedas 1(?hei,vr,tej?+?hej,vr?1,tei?),i.e. theaverageoftheCP 2 scoresfor(ei,r,ej)and(ej,r?1,ei). See paper SimplE Embedding for Link Prediction in Knowledge Graphs for more details.

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