G = (V, E) |
G: input graph, V: node set, E: edge set. |
|V| = n
|
n: number of nodes. |
v ∈ V
|
nodes in G. |
xv ∈ Rc
|
xv: node feature vector, c: feature dimension. |
X ∈ Rn×c
|
initial feature matrix. |
|
node embedding of node i in the kth layer. |
N(v) |
set of one-hop neighbors of node v in G. |
M(·) |
message aggregation function. |
H
k
|
matrix of activations in the kth layer. |
W
k
|
a layer-specific trainable weight matrix. |
|
adjacency matrix of the undirected graph G with added self-connections. |
|
degree matrix of undirected graph G. |
σ(·) |
activation function. |
f(i, j) |
a function used to calculate the attention coefficient between i and j |
g(·) |
feature transformation function. |
δ
k
|
the weight matrix decay parameter of the kth layer |
Z
k
|
the kth layer output of DGCNNII. |
AGAT ∈ Rn×n
|
adjacency matrix based on node attention coefficients. |
α, β, γ |
hyper-parameters for adjusting the proportion of information aggregation. |
I
n
|
identity matrix. |
a
|
the weight vector that projects the concatenate vector to the scalar |