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import torch
import torch.nn as nn
import torch.nn.functional as F
class nconv(nn.Module):
def __init__(self):
super(nconv, self).__init__()
def forward(self, x, A):
# x: (batch, channel, nodes, timesteps)
x = torch.einsum('ncvl,vw->ncwl', (x, A))
return x.contiguous()
class nconv2(nn.Module):
def __init__(self):
super(nconv2, self).__init__()
def forward(self, x, A):
# x: (batch, channel, nodes, timesteps)
x = torch.einsum('ncvl,nvw->ncwl', (x, A))
return x.contiguous()
class linear(nn.Module):
def __init__(self, c_in, c_out):
super(linear, self).__init__()
# 使用1x1的卷积核替代Linear层
self.mlp = torch.nn.Conv2d(c_in, c_out, kernel_size=(1, 1), padding=(0, 0), stride=(1, 1), bias=True)
def forward(self, x):
# x: (batch, channel, nodes, timesteps)
return self.mlp(x)
class gcn(nn.Module):
def __init__(self, c_in, c_out, dropout,multi_adj=False, support_len=3, order=2):
super(gcn, self).__init__()
if multi_adj:
self.nconv = nconv2()
else:
self.nconv = nconv()
c_in = (order * support_len + 1) * c_in
self.mlp = linear(c_in, c_out)
self.dropout = dropout
self.order = order
def forward(self, x, support):
"""
:param x: (batch, channel, nodes, timesteps)
:param support: list of adjacent matrix
"""
out = [x]
# Multi-Graph
for a in support:
x1 = self.nconv(x, a)
out.append(x1)
# MixHop: n-order
for k in range(2, self.order + 1):
x2 = self.nconv(x1, a)
out.append(x2)
x1 = x2
# Putting it together in the channel dimension
h = torch.cat(out, dim=1)
h = self.mlp(h)
h = F.dropout(h, self.dropout, training=self.training)
return h
class Model(nn.Module):
def __init__(self,
config,
adj_mx,
dropout=0.3,
supports=None,
gcn_bool=True,
addaptadj=True,
aptinit=None,
in_dim=2,
out_dim=16,
residual_channels=16,
dilation_channels=16,
skip_channels=256,
end_channels=512,
kernel_size=2,
blocks=4,
layers=2,
# residual_channels=32,
# dilation_channels=32,
# skip_channels=1024,
# end_channels=1024,
# kernel_size=2,
# blocks=4,
# layers=3,
out_window=1,
input_window=6):
# skip_channels = dilation_channels * (blocks * layers)
if config.get('model_confidence', False):
out_dim=out_dim+2
super(Model, self).__init__()
self.dropout = dropout
self.gcn_bool = gcn_bool
self.out_window=1
self.addaptadj = addaptadj
self.blocks = blocks
self.layers = layers
device = config.get('device', torch.device('cpu'))
self.device=device
self.adj_mx=adj_mx
out_dim=config.get('d_model', 2)
# self.num_nodes=num_nodes
supports=[torch.tensor(adj_mx,dtype=torch.float32).to(device)]
# if config['multi_adj']:
# supports=[torch.tensor(adj_mx,dtype=torch.float32).to(device).unsqueeze(0).repeat(128,1,1)]
self.filter_convs = nn.ModuleList()
self.gate_convs = nn.ModuleList()
self.residual_convs = nn.ModuleList()
self.skip_convs = nn.ModuleList()
self.bn = nn.ModuleList()
self.gconv = nn.ModuleList()
self.start_conv = nn.Conv2d(in_channels=in_dim,
out_channels=residual_channels,
kernel_size=(1, 1))
# 1.list of adjacency matrix
self.supports = supports
self.supports_len = 0
self.z_dim=config.get('d_model', 2)
if supports is not None:
self.supports_len += len(supports)
else:
self.supports = []
num_nodes=adj_mx.shape[0]
if gcn_bool and addaptadj:
if aptinit is None:
self.nodevec1 = nn.Parameter(torch.randn(num_nodes, 10).to(device), requires_grad=True).to(device)
self.nodevec2 = nn.Parameter(torch.randn(10, num_nodes).to(device), requires_grad=True).to(device)
self.supports_len += 1
else:
# ===================================================================
m, p, n = torch.svd(aptinit)
initemb1 = torch.mm(m[:, :10], torch.diag(p[:10] ** 0.5))
initemb2 = torch.mm(torch.diag(p[:10] ** 0.5), n[:, :10].t())
# ===================================================================
self.nodevec1 = nn.Parameter(initemb1, requires_grad=True).to(device)
self.nodevec2 = nn.Parameter(initemb2, requires_grad=True).to(device)
self.supports_len += 1
# 2.Stacked Gated Temporal Convolutional Layers
receptive_field = 1
for b in range(blocks):
# Here the convolution kernel is fixed.
additional_scope = kernel_size - 1 # 1
new_dilation = 1
# Each layer requires padding = 3 data fills keeping the original length unchanged.
for i in range(layers):
# dilated convolutions
self.filter_convs.append(nn.Conv2d(in_channels=residual_channels,
out_channels=dilation_channels,
kernel_size=(1, kernel_size),
dilation=new_dilation))
self.gate_convs.append(nn.Conv2d(in_channels=residual_channels,
out_channels=dilation_channels,
kernel_size=(1, kernel_size),
dilation=new_dilation))
# 1x1 convolution for residual connection
self.residual_convs.append(nn.Conv2d(in_channels=dilation_channels,
out_channels=skip_channels,
kernel_size=(1, 1)))
self.skip_convs.append(nn.Conv2d(in_channels=dilation_channels,
out_channels=skip_channels,
kernel_size=(1, 1)))
self.bn.append(nn.BatchNorm2d(residual_channels))
# padding = (kernel_size - 1) * dilation
new_dilation *= 2
receptive_field += additional_scope
additional_scope *= 2
# Graph Convolution Network
if self.gcn_bool:
self.gconv.append(gcn(c_in=dilation_channels,
c_out=residual_channels,
multi_adj=0,
dropout=dropout,
support_len=self.supports_len))
# 3.Output prediction layer
self.end_conv_1 = nn.Conv2d(
in_channels=skip_channels,
out_channels=end_channels,
kernel_size=(1, 1),
bias=True
) # channels from 256 to 512
self.end_conv_2 = nn.Conv2d(
in_channels=end_channels,
out_channels=out_dim,
kernel_size=(1, 1),
bias=True
) # channels from 512 to 12
self.receptive_field = receptive_field # 1 + (4 * 3) =
print(f"Total parameters: {sum(p.numel() for p in self.parameters())}")
def forward(self, input,adj_emb=None):
"""
Here one-dimensional convolutional kernels are used to extract temporal information,
and the size of the convolutional kernels is constant at 2.
:param input: (batch, in_channel, nodes, timesteps)
:return:
"""
# (batch_size, input_window, num_nodes, feature_dim)
b, t, n, d = input.size()
input = input.permute(0, 3, 2, 1)
in_len = input.size(3) # timesteps
if in_len < self.receptive_field:
x = nn.functional.pad(input, (self.receptive_field - in_len, 0, 0, 0))
else:
x = input
x = self.start_conv(x)
skip = 0
# calculate the adaptive adjacent matrix
new_supports = None
if adj_emb is not None:
self.supports=[torch.tensor(self.adj_mx,dtype=torch.float32).to(self.device).unsqueeze(0).repeat(adj_emb.shape[0],1,1)]
if self.gcn_bool and self.addaptadj and self.supports is not None:
if adj_emb is None:
adp = F.softmax(F.relu(torch.mm(self.nodevec1, self.nodevec2)), dim=1)
new_supports = self.supports + [adp]
else:
adp=F.softmax(F.relu(torch.bmm(adj_emb,adj_emb.transpose(1,2))),dim=2)
new_supports = self.supports + [adp]
# WaveNet layers
for i in range(self.blocks * self.layers):
# |----------------------------------------| *residual*
# | |
# | |-- conv -- tanh --| |
# -> dilate -|----| * ----|-- 1x1 -- + --> *input*
# |-- conv -- sigm --| |
# 1x1
# |
# ---------------------------------------> + -------------> *skip*
residual = x
filter = self.filter_convs[i](residual)
filter = torch.tanh(filter)
gate = self.gate_convs[i](residual)
gate = torch.sigmoid(gate)
x = filter * gate
# the length of timesteps decreases after each temporal convolution.
# skip connection
s = x
s = self.skip_convs[i](s)
try:
skip = skip[:, :, :, -s.size(3):]
except:
skip = 0
skip = s + skip
# residual connnection
if self.gcn_bool and self.supports is not None:
if self.addaptadj:
x = self.gconv[i](x, new_supports)
else:
x = self.gconv[i](x, self.supports)
else:
x = self.residual_convs[i](x)
x = x + residual[:, :, :, -x.size(3):]
x = self.bn[i](x)
# skip: (batch, channel, nodes, 1) It can be understood as aggregating temporal features.
x = F.relu(skip)
x = F.relu(self.end_conv_1(x))
x = self.end_conv_2(x).transpose(1,3)
return x[:,-1:,:,:].reshape(b,1,n,self.z_dim,-1).transpose(1,-1).reshape(b,-1,n,self.z_dim)
def get_fe(self,input,adj_emb=None):
"""
Here one-dimensional convolutional kernels are used to extract temporal information,
and the size of the convolutional kernels is constant at 2.
:param input: (batch, in_channel, nodes, timesteps)
:return:
"""
# (batch_size, input_window, num_nodes, feature_dim)
b, t, n, d = input.size()
input = input.permute(0, 3, 2, 1)
in_len = input.size(3) # timesteps
if in_len < self.receptive_field:
x = nn.functional.pad(input, (self.receptive_field - in_len, 0, 0, 0))
else:
x = input
x = self.start_conv(x)
skip = 0
# calculate the adaptive adjacent matrix
new_supports = None
if adj_emb is not None:
self.supports=[torch.tensor(self.adj_mx,dtype=torch.float32).to(self.device).unsqueeze(0).repeat(adj_emb.shape[0],1,1)]
if self.gcn_bool and self.addaptadj and self.supports is not None:
if adj_emb is None:
adp = F.softmax(F.relu(torch.mm(self.nodevec1, self.nodevec2)), dim=1)
new_supports = self.supports + [adp]
else:
adp=F.softmax(F.relu(torch.bmm(adj_emb,adj_emb.transpose(1,2))),dim=2)
new_supports = self.supports + [adp]
# WaveNet layers
for i in range(self.blocks * self.layers):
# |----------------------------------------| *residual*
# | |
# | |-- conv -- tanh --| |
# -> dilate -|----| * ----|-- 1x1 -- + --> *input*
# |-- conv -- sigm --| |
# 1x1
# |
# ---------------------------------------> + -------------> *skip*
residual = x
filter = self.filter_convs[i](residual)
filter = torch.tanh(filter)
gate = self.gate_convs[i](residual)
gate = torch.sigmoid(gate)
x = filter * gate
# the length of timesteps decreases after each temporal convolution.
# skip connection
s = x
s = self.skip_convs[i](s)
try:
skip = skip[:, :, :, -s.size(3):]
except:
skip = 0
skip = s + skip
# residual connnection
if self.gcn_bool and self.supports is not None:
if self.addaptadj:
x = self.gconv[i](x, new_supports)
else:
x = self.gconv[i](x, self.supports)
else:
x = self.residual_convs[i](x)
x = x + residual[:, :, :, -x.size(3):]
x = self.bn[i](x)
return F.relu(skip)
def get_pred_and_feature(self, x):
# (batch_size, input_window, num_nodes, feature_dim)
b=x.shape[0]
input = x.permute(0, 3, 2, 1)
in_len = input.size(3) # timesteps
if in_len < self.receptive_field:
x = nn.functional.pad(input, (self.receptive_field - in_len, 0, 0, 0))
else:
x = input
x = self.start_conv(x)
skip = 0
# calculate the adaptive adjacent matrix
new_supports = None
if self.gcn_bool and self.addaptadj and self.supports is not None:
adp = F.softmax(F.relu(torch.mm(self.nodevec1, self.nodevec2)), dim=1)
new_supports = self.supports + [adp]
# WaveNet layers
for i in range(self.blocks * self.layers):
# |----------------------------------------| *residual*
# | |
# | |-- conv -- tanh --| |
# -> dilate -|----| * ----|-- 1x1 -- + --> *input*
# |-- conv -- sigm --| |
# 1x1
# |
# ---------------------------------------> + -------------> *skip*
residual = x
filter = self.filter_convs[i](residual)
filter = torch.tanh(filter)
gate = self.gate_convs[i](residual)
gate = torch.sigmoid(gate)
x = filter * gate
# the length of timesteps decreases after each temporal convolution.
# skip connection
s = x
s = self.skip_convs[i](s)
try:
skip = skip[:, :, :, -s.size(3):]
except:
skip = 0
skip = s + skip
# residual connnection
if self.gcn_bool and self.supports is not None:
if self.addaptadj:
x = self.gconv[i](x, new_supports)
else:
x = self.gconv[i](x, self.supports)
else:
x = self.residual_convs[i](x)
x = x + residual[:, :, :, -x.size(3):]
x = self.bn[i](x)
if i==0:
feature = x.clone()
# skip: (batch, channel, nodes, 1) It can be understood as aggregating temporal features.
x = F.relu(skip)
x = F.relu(self.end_conv_1(x))
x = self.end_conv_2(x).transpose(1,3)
return x[:,-self.out_window:,:,:],feature.reshape(b,-1) |