SLIDE 9 2) Weighted Convolutions on Dynamic Graphs
𝒅𝑗,𝑘
𝑢,𝑚+1 = 𝜏
𝒄𝑚 +
𝑙∈𝒪
𝑗,𝑘 𝑢 ∪{𝑘}
𝐵𝑗
𝑢 𝑘, 𝑙 · 𝑿𝑚𝒅𝑗,𝑙 𝑢,𝑚
1) Weighted Graphs Construction
Element Relationship Learning
9
… … Learn element relationship in the same set.
trainable convolutional parameters
𝑤𝑗,1, 𝑤𝑗,2 , 𝑤𝑗,1, 𝑤𝑗,3 , 𝑤𝑗,2, 𝑤𝑗,1 , 𝑤𝑗,2, 𝑤𝑗,3 , 𝑤𝑗,3, 𝑤𝑗,1 , (𝑤𝑗,3, 𝑤𝑗,2) 𝑤𝑗,1, 𝑤𝑗,3 , 𝑤𝑗,1, 𝑤𝑗,4 , 𝑤𝑗,3, 𝑤𝑗,1 , 𝑤𝑗,3, 𝑤𝑗,4 , 𝑤𝑗,4, 𝑤𝑗,1 , (𝑤𝑗,4, 𝑤𝑗,3) 𝑤𝑗,1, 𝑤𝑗,2, 2 , 𝑤𝑗,1, 𝑤𝑗,3, 3 , 𝑤𝑗,1, 𝑤𝑗,4, 1 , 𝑤𝑗,2, 𝑤𝑗,1, 2 , … 𝑤𝑗,1, 𝑤𝑗,1, 1 , 𝑤𝑗,2, 𝑤𝑗,2, 1 , 𝑤𝑗,3, 𝑤𝑗,3, 1 , 𝑤𝑗,4, 𝑤𝑗,4, 1
…
𝑤𝑗,1, 𝑤𝑗,2, 0.67 , 𝑤𝑗,1, 𝑤𝑗,3, 1.0 , 𝑤𝑗,1, 𝑤𝑗,4, 0.33 , 𝑤𝑗,2, 𝑤𝑗,1, 0.67 , … 𝑤𝑗,1, 𝑤𝑗,1, 0.33 , 𝑤𝑗,2, 𝑤𝑗,2, 0.33 , 𝑤𝑗,3, 𝑤𝑗,3, 0.33 , 𝑤𝑗,4, 𝑤𝑗,4, 0.33
(a) (b) (c) (d)