ENet: A Deep Neural Network Architecture for Real-Time Semantic Segmentation 发表在CVPR2016。

ERFNet: Efficient Residual Factorized ConvNet for Real-Time Semantic Segmentation 发表在2018年1月的IEEE Transactions on Intelligent Transportation Systems。

两者任务均为轻量级实时性语义分割。ENet和ERFNet在实时性语义分割算法中算是早期比较优秀的算法。 在Cityscapes数据集上,ENet的IoU达到了58.3,而ERFNet的IoU则达到了69.7,精度提升10个点。参数方面,根据RRFNet里的实验数据,ERFNet的参数量比ENet大十倍速度方面是ENet的将近一半。 总的来说,虽然ERFNet参数量较大,运行较慢,但精度也提升大,实时性和精度确实都在可接受的范围。两篇论文都在Resnet基础上进行了改进,比较值得注意的是ERFNet中ResNet的Low-rank approximation的操作,后面经常会使用到。

一、Enet网络结构及代码实现

1. 网络特点【0】

1、Feature map resolution:

语义分割中的图像下采样有两个主要缺点:一是降低特征图的分辨率意味着丢失精确边缘形状等空间信息;二是全像素分割要求输出与输入具有相同的分辨率。这意味着进行了多少次下采样将需要同样次数的上采样,这将增加模型尺寸和计算成本。第一个问题在FCN中通过编码器生成的特征映射之间的add得到了解决(FPN),在SegNet中通过保存在max pooling层中选择的元素的索引,并使用它们在解码器中生成稀疏的上采样映射得到了解决。作者遵循SegNet方法,因为它减少了对内存需求。尽管如此,还是发现下采样会损害准确性,需要尽可能的限制下采样。当然,下采样能够扩大感受野,学习到更多的上下文特征用于逐像素的分类。

2、Early downsampling:

高分辨率的输入会耗费大量计算资源,ENet的初始化模块会大大减少输入图像的大小,并且只使用了少量的feature maps,初始化模块充当良好的特性提取器,并且只对网络稍后部分的输入进行预处理。

3、Decoder size:

ENet的Encoder和Decoder不对称,由一个较大的Encoder和一个较小的Decoder组成,作者认为Encoder和分类模型相似,主要进行特征信息的处理和过滤,而decoder主要是对encoder的输出做上采样,对细节做细微调。

4、Nonlinear operations:

作者发现ENet上使用ReLU却降低了精度。相反,删除网络初始层中的大多数ReLU可以改善结果。用PReLU替换了网络中的所有ReLU,对每个特征映射PReLU有一个附加参数,目的是学习非线性的负斜率。

5、Information-preserving dimensionality changes:

选择在使用步长2的卷积的同时并行执行池化操作,并将得到的特征图拼接(concatenate)起来。这种技术可以将初始块的推理时间提高10倍。此外,在原始ResNet架构中发现了一个问题。下采样时,卷积分支中的第一个1×1卷积在两个维度上以2的步长滑动,直接丢弃了75%的输入。而ENet将卷积核的大小增加到了2×2,这样可以让整个输入都参与下采样,从而提高信息流和精度。虽然这使得这些层的计算成本增加了4倍,但是在ENET中这些层的数量很少,开销并不明显。

6、Factorizing filters:

卷积权重存在大量冗余,并且每个n x n卷积可以分解成一个n x 1滤波和一个1 x n滤波,称为非对称卷积。本文采用n = 5的非对称卷积,它的操作相当于一个5 x 5的卷积,增加了模块的学习能力并增加了感受野,更重要的是,在瓶颈模块中使用的一系列操作(投影、卷积、投影)可以被视为将一个大卷积层分解为一系列更小和更简单的操作,即其低阶近似。这样的因子分解可以极大地减少参数的数量,从而减少冗余。此外,由于在层之间插入的非线性操作,特征也变得更丰富了。

7、Dilated convolutions:

大的感受野对分割任务也是非常重要的,可以参考更多的上下文特征对像素进行分类,为了避免对特征图进行过度的下采样,使用空洞卷积,在最小分辨率下运行的阶段中,几个瓶颈模块内的主要卷积层都使用了空洞卷积。在没有增加额外计算开销的情况下,便提高了准确度。当作者将空洞卷积与其他bottleneck(常规和非对称卷积)交织时,即不是按顺序排列它们,获得了最佳效果。

8、Regularization:

为了防止过拟合,把Spatial Dropout放在卷积分支的末端,就在加法之前

2. 网络结构和代码

整个网络模型由下面5种block,分别组成encoder和decoder,进而组成整个模型,encoder包含3个子层,decoder包含2个子层,模型输入输出尺寸相同

Block1: 初始降采样模块

class InitialBlock(nn.Module):def __init__ (self, in_channels=3, out_channels=13):super().__init__()self.conv = nn.Conv2d(in_channels, out_channels, kernel_size=3, stride=2, padding=1)self.batchnorm = nn.BatchNorm2d(out_channels)self.maxpool = nn.MaxPool2d(kernel_size=2, stride=2, padding=0)self.prelu = nn.PReLU(16)def forward(self, x):main = self.conv(x)main = self.batchnorm(main)side = self.maxpool(x)x = torch.cat((main, side), dim=1)x = self.prelu(x)return x

Block2: 通用降采样模块 + Block3: 通用特征提取模块

class RDDNeck(nn.Module):def __init__(self, dilation, in_channels, out_channels, down_flag, relu=False, projection_ratio=4, p=0.1):super().__init__()self.in_channels = in_channelsself.out_channels = out_channelsself.dilation = dilation     # 孔洞卷积sizeself.down_flag = down_flag   # 降采样标识if down_flag:self.stride = 2self.reduced_depth = int(in_channels // projection_ratio)else:self.stride = 1self.reduced_depth = int(out_channels // projection_ratio)if relu:activation = nn.ReLU()else:activation = nn.PReLU()self.maxpool = nn.MaxPool2d(kernel_size=2, stride=2, padding=0, return_indices=True)self.conv1 = nn.Conv2d(in_channels=self.in_channels, out_channels=self.reduced_depth, kernel_size=1, stride=1, padding=0, bias=False, dilation=1)self.batchnorm1 = nn.BatchNorm2d(self.reduced_depth)self.prelu1 = activationself.conv2 = nn.Conv2d(in_channels=self.reduced_depth, out_channels=self.reduced_depth, kernel_size=3, stride=self.stride, padding=self.dilation, bias=False, dilation=self.dilation)self.batchnorm2 = nn.BatchNorm2d(self.reduced_depth)self.prelu2 = activationself.conv3 = nn.Conv2d(in_channels=self.reduced_depth, out_channels=self.out_channels, kernel_size=1, stride=1, padding=0,bias=False, dilation=1)self.batchnorm3 = nn.BatchNorm2d(self.out_channels)self.dropout = nn.Dropout2d(p=p)self.prelu3 = activationdef forward(self, x):bs = x.size()[0]x_copy = x# Side Branchx = self.conv1(x)x = self.batchnorm1(x)x = self.prelu1(x)x = self.conv2(x)x = self.batchnorm2(x)x = self.prelu2(x)x = self.conv3(x)x = self.batchnorm3(x)x = self.dropout(x)   # dropout是解决过拟合的,maxpool不会导致过拟合,所以dropout加在side branch# Main Branchif self.down_flag:    # indice是下采样的索引,可用于后面的上采样x_copy, indices = self.maxpool(x_copy)if self.in_channels != self.out_channels:out_shape = self.out_channels - self.in_channelsextras = torch.zeros((bs, out_shape, x.shape[2], x.shape[3]))if torch.cuda.is_available():extras = extras.cuda()x_copy = torch.cat((x_copy, extras), dim = 1)# Sum of main and side branchesx = x + x_copyx = self.prelu3(x)if self.down_flag:return x, indiceselse:return x

Block4: 特殊特征提取模块,采用空间可分离卷积 5*5 -> 1*5 and 5*1

class ASNeck(nn.Module):def __init__(self, in_channels, out_channels, projection_ratio=4):super().__init__()# Define class variablesself.in_channels = in_channelsself.out_channels = out_channelsself.reduced_depth = int(in_channels / projection_ratio)self.conv1 = nn.Conv2d(in_channels=self.in_channels, out_channels=self.reduced_depth, kernel_size=1, stride=1, padding=0, bias=False)self.batchnorm1 = nn.BatchNorm2d(self.reduced_depth)self.prelu1 = nn.PReLU()self.conv21 = nn.Conv2d(in_channels=self.reduced_depth, out_channels=self.reduced_depth, kernel_size=(1, 5), stride=1, padding=(0, 2), bias=False)self.conv22 = nn.Conv2d(in_channels=self.reduced_depth, out_channels=self.reduced_depth, kernel_size=(5, 1), stride=1, padding=(2, 0), bias=False)self.batchnorm2 = nn.BatchNorm2d(self.reduced_depth)self.prelu2 = nn.PReLU()self.conv3 = nn.Conv2d(in_channels=self.reduced_depth, out_channels=self.out_channels, kernel_size=1, stride=1, padding=0, bias=False)self.dropout = nn.Dropout2d(p=0.1)self.batchnorm3 = nn.BatchNorm2d(self.out_channels)self.prelu3 = nn.PReLU()def forward(self, x):bs = x.size()[0]x_copy = x# Side Branchx = self.conv1(x)x = self.batchnorm1(x)x = self.prelu1(x)x = self.conv21(x)x = self.conv22(x)x = self.batchnorm2(x)x = self.prelu2(x)x = self.conv3(x)x = self.dropout(x)x = self.batchnorm3(x)# Main Branchif self.in_channels != self.out_channels:out_shape = self.out_channels - self.in_channelsextras = torch.zeros((bs, out_shape, x.shape[2], x.shape[3]))if torch.cuda.is_available():extras = extras.cuda()x_copy = torch.cat((x_copy, extras), dim = 1)# Sum of main and side branchesx = x + x_copyx = self.prelu3(x)return x

Block5: 上采样模块

class UBNeck(nn.Module):def __init__(self, in_channels, out_channels, relu=False, projection_ratio=4):super().__init__()# Define class variablesself.in_channels = in_channelsself.out_channels = out_channelsself.reduced_depth = int(in_channels / projection_ratio)if relu:activation = nn.ReLU()else:activation = nn.PReLU()self.main_conv = nn.Conv2d(in_channels=self.in_channels, out_channels=self.out_channels, kernel_size=1)# self.up = nn.Upsample(scale_factor=2, mode='nearest')self.unpool = nn.MaxUnpool2d(kernel_size=2, stride=2)  # 上采样模块,与下采样模块匹配,其中上下采样位置保持一致self.convt1 = nn.ConvTranspose2d(in_channels=self.in_channels, out_channels=self.reduced_depth, kernel_size=1, padding=0, bias=False)self.batchnorm1 = nn.BatchNorm2d(self.reduced_depth)self.prelu1 = activationself.convt2 = nn.ConvTranspose2d(in_channels=self.reduced_depth, out_channels=self.reduced_depth, kernel_size=3, stride=2, padding=1, output_padding=1, bias=False)self.batchnorm2 = nn.BatchNorm2d(self.reduced_depth)self.prelu2 = activationself.convt3 = nn.ConvTranspose2d(in_channels=self.reduced_depth, out_channels=self.out_channels, kernel_size=1, padding=0, bias=False)self.batchnorm3 = nn.BatchNorm2d(self.out_channels)self.dropout = nn.Dropout2d(p=0.1)      self.prelu3 = activationdef forward(self, x, indices):x_copy = x# Side Branchx = self.convt1(x)x = self.batchnorm1(x)x = self.prelu1(x)x = self.convt2(x)x = self.batchnorm2(x)x = self.prelu2(x)x = self.convt3(x)x = self.batchnorm3(x)x = self.dropout(x)# Main Branchx_copy = self.main_conv(x_copy)# x_copy = self.up(x_copy)x_copy = self.unpool(x_copy, indices, output_size=x.size())# Concatx = x + x_copyx = self.prelu3(x)return x

整个模型结构

class ENet(nn.Module):def __init__(self, classes):super().__init__()self.cla = classes# The initial blockself.init = InitialBlock()# 编码器# The first bottleneckself.b10 = RDDNeck(dilation=1, in_channels=16, out_channels=64, down_flag=True, p=0.01)self.b11 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, p=0.01)self.b12 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, p=0.01)self.b13 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, p=0.01)self.b14 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, p=0.01)# The second bottleneckself.b20 = RDDNeck(dilation=1, in_channels=64, out_channels=128, down_flag=True)self.b21 = RDDNeck(dilation=1, in_channels=128, out_channels=128, down_flag=False)self.b22 = RDDNeck(dilation=2, in_channels=128, out_channels=128, down_flag=False)self.b23 = ASNeck(in_channels=128, out_channels=128)self.b24 = RDDNeck(dilation=4, in_channels=128, out_channels=128, down_flag=False)self.b25 = RDDNeck(dilation=1, in_channels=128, out_channels=128, down_flag=False)self.b26 = RDDNeck(dilation=8, in_channels=128, out_channels=128, down_flag=False)self.b27 = ASNeck(in_channels=128, out_channels=128)self.b28 = RDDNeck(dilation=16, in_channels=128, out_channels=128, down_flag=False)# The third bottleneckself.b31 = RDDNeck(dilation=1, in_channels=128, out_channels=128, down_flag=False)self.b32 = RDDNeck(dilation=2, in_channels=128, out_channels=128, down_flag=False)self.b33 = ASNeck(in_channels=128, out_channels=128)self.b34 = RDDNeck(dilation=4, in_channels=128, out_channels=128, down_flag=False)self.b35 = RDDNeck(dilation=1, in_channels=128, out_channels=128, down_flag=False)self.b36 = RDDNeck(dilation=8, in_channels=128, out_channels=128, down_flag=False)self.b37 = ASNeck(in_channels=128, out_channels=128)self.b38 = RDDNeck(dilation=16, in_channels=128, out_channels=128, down_flag=False)# 解码器# The fourth bottleneckself.b40 = UBNeck(in_channels=128, out_channels=64, relu=True)self.b41 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, relu=True)self.b42 = RDDNeck(dilation=1, in_channels=64, out_channels=64, down_flag=False, relu=True)# The fifth bottleneckself.b50 = UBNeck(in_channels=64, out_channels=16, relu=True)self.b51 = RDDNeck(dilation=1, in_channels=16, out_channels=16, down_flag=False, relu=True)# Final ConvTranspose Layerself.fullconv = nn.ConvTranspose2d(in_channels=16, out_channels=self.cla, kernel_size=3, stride=2, padding=1,  output_padding=1, bias=False)def forward(self, x):   # The initial blockx = self.init(x)      # 1/2# The first bottleneckx, i1 = self.b10(x)   # 1/4x = self.b11(x)x = self.b12(x)x = self.b13(x)x = self.b14(x)# The second bottleneckx, i2 = self.b20(x)   # 1/8x = self.b21(x)x = self.b22(x)x = self.b23(x)x = self.b24(x)x = self.b25(x)x = self.b26(x)x = self.b27(x)x = self.b28(x)# The third bottleneckx = self.b31(x)       # 1/8x = self.b32(x)x = self.b33(x)x = self.b34(x)x = self.b35(x)x = self.b36(x)x = self.b37(x)x = self.b38(x)# The fourth bottleneckx = self.b40(x, i2)   # 1/4x = self.b41(x)x = self.b42(x)# The fifth bottleneckx = self.b50(x, i1)   # 1/2x = self.b51(x)# The final headout = self.fullconv(x)  # 1return out

二、ERFnet网络结构及代码实现

1. 网络特点

1、 提前降低维度

这个类似于enet模型,在模型初期便连续两次降采样,尽快降低特征维度;

2、非对称的网络结构

这个类似于enet模型,在模型中encoder的尺寸大于decoder的尺寸;

3、有限的下采样次数

这个类似于enet模型,只是下采样了3次;

4、下采样结构采用并行结构

这个类似于enet模型,是池化和stride=2同步进行下采样;

5、上采样

这个与enet不同,采用单支的转置卷积进行上采样;

6、采用空洞卷积

2. 网络结构和代码

整个网络模型由下面3种block,分别组成encoder和decoder,进而组成整个模型,encoder包含3个子层,decoder包含3个子层,模型输入输出尺寸相同

Block1: 下采样模块 + Block2: 上采样模块

# block1: 下采样模块
class DownsamplerBlock (nn.Module):def __init__(self, ninput, noutput):super().__init__()self.conv = nn.Conv2d(ninput, noutput-ninput, (3, 3), stride=2, padding=1, bias=False)self.pool = nn.MaxPool2d(2, stride=2)self.bn = nn.BatchNorm2d(noutput, eps=1e-3)def forward(self, input):output = torch.cat([self.conv(input), self.pool(input)], 1)output = self.bn(output)return F.relu(output)# block2: 上采样模块
class UpsamplerBlock (nn.Module):def __init__(self, ninput, noutput):super().__init__()self.conv = nn.ConvTranspose2d(ninput, noutput, 3, stride=2, padding=1, output_padding=1, bias=False)self.bn = nn.BatchNorm2d(noutput, eps=1e-3)def forward(self, input):output = self.conv(input)output = self.bn(output)return F.relu(output)

Block3: 通用特征提取模块

# block3: 通用特征提取模块
class non_bottleneck_1d (nn.Module):def __init__(self, chann, dropprob, dilated):        super().__init__()self.conv3x1_1 = nn.Conv2d(chann, chann, (3, 1), stride=1, padding=(1,0), bias=True)self.conv1x3_1 = nn.Conv2d(chann, chann, (1, 3), stride=1, padding=(0,1), bias=True)self.bn1 = nn.BatchNorm2d(chann, eps=1e-03)self.conv3x1_2 = nn.Conv2d(chann, chann, (3, 1), stride=1, padding=(1*dilated,0), bias=True, dilation = (dilated,1))self.conv1x3_2 = nn.Conv2d(chann, chann, (1, 3), stride=1, padding=(0,1*dilated), bias=True, dilation = (1,dilated))self.bn2 = nn.BatchNorm2d(chann, eps=1e-03)self.dropout = nn.Dropout2d(dropprob)def forward(self, input):output = self.conv3x1_1(input)output = F.relu(output)output = self.conv1x3_1(output)output = self.bn1(output)output = F.relu(output)output = self.conv3x1_2(output)output = F.relu(output)output = self.conv1x3_2(output)output = self.bn2(output)if (self.dropout.p != 0):output = self.dropout(output)return F.relu(output+input)

编码器、解码器

# 特征编码器
class Encoder(nn.Module):def __init__(self, num_classes):super().__init__()self.initial_block = DownsamplerBlock(3, 16)         # 1/2self.layers = nn.ModuleList()self.layers.append(DownsamplerBlock(16,64))          # 1/4for x in range(0, 5):    # 5 timesself.layers.append(non_bottleneck_1d(64, 0.03, 1)) self.layers.append(DownsamplerBlock(64, 128))        # 1/8   for x in range(0, 2):    # 2 timesself.layers.append(non_bottleneck_1d(128, 0.3, 2))self.layers.append(non_bottleneck_1d(128, 0.3, 4))self.layers.append(non_bottleneck_1d(128, 0.3, 8))self.layers.append(non_bottleneck_1d(128, 0.3, 16))# Only in encoder mode:self.output_conv = nn.Conv2d(128, num_classes, 1, stride=1, padding=0, bias=True)def forward(self, input, predict=False):output = self.initial_block(input)for layer in self.layers:output = layer(output)if predict:output = self.output_conv(output)return output# 特征解码器
class Decoder (nn.Module):def __init__(self, num_classes):super().__init__()self.layers = nn.ModuleList()self.layers.append(UpsamplerBlock(128, 64))          # 1/4self.layers.append(non_bottleneck_1d(64, 0, 1))self.layers.append(non_bottleneck_1d(64, 0, 1))self.layers.append(UpsamplerBlock(64, 16))           # 1/2self.layers.append(non_bottleneck_1d(16, 0, 1))self.layers.append(non_bottleneck_1d(16, 0, 1))self.layers.append(UpsamplerBlock(16, num_classes))  # 1def forward(self, input):output = inputfor layer in self.layers:output = layer(output)return output# 搭建ErfNet网络
class ERFNet(nn.Module):def __init__(self, num_classes):super(ERFNet, self).__init__()self.encoder = Encoder(128)self.decoder = Decoder(num_classes)def forward(self, x):out = self.encoder(x)out = self.decoder(out)return out

参考:

0. 轻量级语义分割网络:ENet

1. 轻量级实时语义分割:ENet & ERFNet

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