Files
2026-07-13 13:35:51 +08:00

223 lines
7.0 KiB
Python

import dgl.function as fn
import torch as th
import torch.nn as nn
from dgl.nn.functional import edge_softmax
class MLP(nn.Module):
def __init__(self, in_dim, out_dim):
super().__init__()
self.W = nn.Linear(in_dim, out_dim)
def apply_edges(self, edges):
h_e = edges.data["h"]
h_u = edges.src["h"]
h_v = edges.dst["h"]
score = self.W(th.cat([h_e, h_u, h_v], -1))
return {"score": score}
def forward(self, g, e_feat, u_feat, v_feat):
with g.local_scope():
g.edges["forward"].data["h"] = e_feat
g.nodes["u"].data["h"] = u_feat
g.nodes["v"].data["h"] = v_feat
g.apply_edges(self.apply_edges, etype="forward")
return g.edges["forward"].data["score"]
class GASConv(nn.Module):
"""One layer of GAS."""
def __init__(
self,
e_in_dim,
u_in_dim,
v_in_dim,
e_out_dim,
u_out_dim,
v_out_dim,
activation=None,
dropout=0,
):
super(GASConv, self).__init__()
self.activation = activation
self.dropout = nn.Dropout(dropout)
self.e_linear = nn.Linear(e_in_dim, e_out_dim)
self.u_linear = nn.Linear(u_in_dim, e_out_dim)
self.v_linear = nn.Linear(v_in_dim, e_out_dim)
self.W_ATTN_u = nn.Linear(u_in_dim, v_in_dim + e_in_dim)
self.W_ATTN_v = nn.Linear(v_in_dim, u_in_dim + e_in_dim)
# the proportion of h_u and h_Nu are specified as 1/2 in formula 8
nu_dim = int(u_out_dim / 2)
nv_dim = int(v_out_dim / 2)
self.W_u = nn.Linear(v_in_dim + e_in_dim, nu_dim)
self.W_v = nn.Linear(u_in_dim + e_in_dim, nv_dim)
self.Vu = nn.Linear(u_in_dim, u_out_dim - nu_dim)
self.Vv = nn.Linear(v_in_dim, v_out_dim - nv_dim)
def forward(self, g, e_feat, u_feat, v_feat):
with g.local_scope():
g.nodes["u"].data["h"] = u_feat
g.nodes["v"].data["h"] = v_feat
g.edges["forward"].data["h"] = e_feat
g.edges["backward"].data["h"] = e_feat
# formula 3 and 4 (optimized implementation to save memory)
g.nodes["u"].data.update({"he_u": self.u_linear(u_feat)})
g.nodes["v"].data.update({"he_v": self.v_linear(v_feat)})
g.edges["forward"].data.update({"he_e": self.e_linear(e_feat)})
g.apply_edges(
lambda edges: {
"he": edges.data["he_e"]
+ edges.src["he_u"]
+ edges.dst["he_v"]
},
etype="forward",
)
he = g.edges["forward"].data["he"]
if self.activation is not None:
he = self.activation(he)
# formula 6
g.apply_edges(
lambda edges: {
"h_ve": th.cat([edges.src["h"], edges.data["h"]], -1)
},
etype="backward",
)
g.apply_edges(
lambda edges: {
"h_ue": th.cat([edges.src["h"], edges.data["h"]], -1)
},
etype="forward",
)
# formula 7, self-attention
g.nodes["u"].data["h_att_u"] = self.W_ATTN_u(u_feat)
g.nodes["v"].data["h_att_v"] = self.W_ATTN_v(v_feat)
# Step 1: dot product
g.apply_edges(
fn.e_dot_v("h_ve", "h_att_u", "edotv"), etype="backward"
)
g.apply_edges(
fn.e_dot_v("h_ue", "h_att_v", "edotv"), etype="forward"
)
# Step 2. softmax
g.edges["backward"].data["sfm"] = edge_softmax(
g["backward"], g.edges["backward"].data["edotv"]
)
g.edges["forward"].data["sfm"] = edge_softmax(
g["forward"], g.edges["forward"].data["edotv"]
)
# Step 3. Broadcast softmax value to each edge, and then attention is done
g.apply_edges(
lambda edges: {"attn": edges.data["h_ve"] * edges.data["sfm"]},
etype="backward",
)
g.apply_edges(
lambda edges: {"attn": edges.data["h_ue"] * edges.data["sfm"]},
etype="forward",
)
# Step 4. Aggregate attention to dst,user nodes, so formula 7 is done
g.update_all(
fn.copy_e("attn", "m"), fn.sum("m", "agg_u"), etype="backward"
)
g.update_all(
fn.copy_e("attn", "m"), fn.sum("m", "agg_v"), etype="forward"
)
# formula 5
h_nu = self.W_u(g.nodes["u"].data["agg_u"])
h_nv = self.W_v(g.nodes["v"].data["agg_v"])
if self.activation is not None:
h_nu = self.activation(h_nu)
h_nv = self.activation(h_nv)
# Dropout
he = self.dropout(he)
h_nu = self.dropout(h_nu)
h_nv = self.dropout(h_nv)
# formula 8
hu = th.cat([self.Vu(u_feat), h_nu], -1)
hv = th.cat([self.Vv(v_feat), h_nv], -1)
return he, hu, hv
class GAS(nn.Module):
def __init__(
self,
e_in_dim,
u_in_dim,
v_in_dim,
e_hid_dim,
u_hid_dim,
v_hid_dim,
out_dim,
num_layers=2,
dropout=0.0,
activation=None,
):
super(GAS, self).__init__()
self.e_in_dim = e_in_dim
self.u_in_dim = u_in_dim
self.v_in_dim = v_in_dim
self.e_hid_dim = e_hid_dim
self.u_hid_dim = u_hid_dim
self.v_hid_dim = v_hid_dim
self.out_dim = out_dim
self.num_layer = num_layers
self.dropout = dropout
self.activation = activation
self.predictor = MLP(e_hid_dim + u_hid_dim + v_hid_dim, out_dim)
self.layers = nn.ModuleList()
# Input layer
self.layers.append(
GASConv(
self.e_in_dim,
self.u_in_dim,
self.v_in_dim,
self.e_hid_dim,
self.u_hid_dim,
self.v_hid_dim,
activation=self.activation,
dropout=self.dropout,
)
)
# Hidden layers with n - 1 CompGraphConv layers
for i in range(self.num_layer - 1):
self.layers.append(
GASConv(
self.e_hid_dim,
self.u_hid_dim,
self.v_hid_dim,
self.e_hid_dim,
self.u_hid_dim,
self.v_hid_dim,
activation=self.activation,
dropout=self.dropout,
)
)
def forward(self, graph, e_feat, u_feat, v_feat):
# For full graph training, directly use the graph
# Forward of n layers of GAS
for layer in self.layers:
e_feat, u_feat, v_feat = layer(graph, e_feat, u_feat, v_feat)
# return the result of final prediction layer
return self.predictor(graph, e_feat, u_feat, v_feat)