1、Vision Transformer (ViT) 介绍

VIT论文的摘要如下，谷歌翻译如下：

• 虽然 Transformer 架构已成为自然语言处理任务的事实标准，但它在计算机视觉领域的应用仍然有限。在 Vision 中，注意力要么与卷积网络结合使用，要么用于替换卷积网络的某些组件，同时保持其整体结构不变。我们表明，这种对 CNN 的依赖是不必要的，直接应用于图像块序列的纯 Transformer 可以在图像分类任务中表现良好。当对大量数据进行预训练并转移到多个中型或小型图像识别基准（mageNet、CIFAR-100、VTAB 等）时，Vision Transformer (ViT) 与最先进的卷积网络相比取得了出色的结果，同时需要更少的计算资源来训练。

如何把图像应用到transformer当中去？

• 可以把图片中的每一个像素当作1个token，如下左图是224x224的像素，一共有50176个token，50176个token在计算self-attention时计算量太大，比如在计算相似度时就需要计算$50176^2$次，所以需要对图像做进一步的处理。把224x224的图像分成14x14个patches，每个patches由16x16个像素组成，把每个patches embedding成一个token，这样图片就变成了14x14个tokens。

如下图中的右半部分，把图片分成9个patch，把每个patch embedding成固定长度的token，除了做相应的位置编码之外，还添加了额外可学习的class embedding，如下图右半部分的 $\ast$ 号。在处理每个token和class embedding计算时，并不是如图中的concat，而是对位相加。相加之后再做Transformer Encoder的操作。
在之前的self attention中，输出的个数等于输入的个数，但是在ViT中，只需要输出class embedding的结果，再经过MLP Head（可以当作全连接层）得到图像的类别。

2、patch embedding

class PatchEmbed(nn.Module):"""2D Image to Patch Embedding"""def __init__(self, img_size=224, patch_size=16, in_c=3, embed_dim=768, norm_layer=None):super().__init__()img_size = (img_size, img_size)patch_size = (patch_size, patch_size)self.img_size = img_sizeself.patch_size = patch_sizeself.grid_size = (img_size[0] // patch_size[0], img_size[1] // patch_size[1])self.num_patches = self.grid_size[0] * self.grid_size[1]self.proj = nn.Conv2d(in_c, embed_dim, kernel_size=patch_size, stride=patch_size)self.norm = norm_layer(embed_dim) if norm_layer else nn.Identity()def forward(self, x):B, C, H, W = x.shapeassert H == self.img_size[0] and W == self.img_size[1], f"Input image size ({H}*{W}) doesn't match model ({self.img_size[0]}*{self.img_size[1]})."# flatten: [B, C, H, W] -> [B, C, HW]# transpose: [B, C, HW] -> [B, HW, C]x = self.proj(x).flatten(2).transpose(1, 2)x = self.norm(x)return x

代码解释：

196表示一共有196个token，768表示为每个patch/token可以用长度为768的特征向量来表示，

为了方便理解，下面画了一个简单的示意图，

3、代码

3.1 class embedding + Positional Embedding

下图左边红框框起来的示意图对应的代码是下图右边红框框起来的代码，
x = self.blocks(x)代码讲解在3.2部分，

3.2 Transformer Encoder

self.blocks是由多个Block组合，Block具体代码如下，

Block具体代码，

多头注意力机制的代码，

MLP的代码，

3.3 classifier

3.4 ViT总代码

"""
original code from rwightman:
https://github.com/rwightman/pytorch-image-models/blob/master/timm/models/vision_transformer.py
"""
from functools import partial
from collections import OrderedDictimport torch
import torch.nn as nndef drop_path(x, drop_prob: float = 0., training: bool = False):"""Drop paths (Stochastic Depth) per sample (when applied in main path of residual blocks).This is the same as the DropConnect impl I created for EfficientNet, etc networks, however,the original name is misleading as 'Drop Connect' is a different form of dropout in a separate paper...See discussion: https://github.com/tensorflow/tpu/issues/494#issuecomment-532968956 ... I've opted forchanging the layer and argument names to 'drop path' rather than mix DropConnect as a layer name and use'survival rate' as the argument."""if drop_prob == 0. or not training:return xkeep_prob = 1 - drop_probshape = (x.shape[0],) + (1,) * (x.ndim - 1)  # work with diff dim tensors, not just 2D ConvNetsrandom_tensor = keep_prob + torch.rand(shape, dtype=x.dtype, device=x.device)random_tensor.floor_()  # binarizeoutput = x.div(keep_prob) * random_tensorreturn outputclass DropPath(nn.Module):"""Drop paths (Stochastic Depth) per sample  (when applied in main path of residual blocks)."""def __init__(self, drop_prob=None):super(DropPath, self).__init__()self.drop_prob = drop_probdef forward(self, x):return drop_path(x, self.drop_prob, self.training)class PatchEmbed(nn.Module):"""2D Image to Patch Embedding"""def __init__(self, img_size=224, patch_size=16, in_c=3, embed_dim=768, norm_layer=None):super().__init__()img_size = (img_size, img_size)patch_size = (patch_size, patch_size)self.img_size = img_sizeself.patch_size = patch_sizeself.grid_size = (img_size[0] // patch_size[0], img_size[1] // patch_size[1])self.num_patches = self.grid_size[0] * self.grid_size[1]self.proj = nn.Conv2d(in_c, embed_dim, kernel_size=patch_size, stride=patch_size)self.norm = norm_layer(embed_dim) if norm_layer else nn.Identity()def forward(self, x):B, C, H, W = x.shapeassert H == self.img_size[0] and W == self.img_size[1], f"Input image size ({H}*{W}) doesn't match model ({self.img_size[0]}*{self.img_size[1]})."# flatten: [B, C, H, W] -> [B, C, HW]# transpose: [B, C, HW] -> [B, HW, C]x = self.proj(x).flatten(2).transpose(1, 2)x = self.norm(x)return xclass Attention(nn.Module):def __init__(self,dim,   # 输入token的dimnum_heads=8,qkv_bias=False,qk_scale=None,attn_drop_ratio=0.,proj_drop_ratio=0.):super(Attention, self).__init__()self.num_heads = num_headshead_dim = dim // num_headsself.scale = qk_scale or head_dim ** -0.5self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias)self.attn_drop = nn.Dropout(attn_drop_ratio)self.proj = nn.Linear(dim, dim)self.proj_drop = nn.Dropout(proj_drop_ratio)def forward(self, x):# [batch_size, num_patches + 1, total_embed_dim]B, N, C = x.shape# qkv(): -> [batch_size, num_patches + 1, 3 * total_embed_dim]# reshape: -> [batch_size, num_patches + 1, 3, num_heads, embed_dim_per_head]# permute: -> [3, batch_size, num_heads, num_patches + 1, embed_dim_per_head]qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 3, 1, 4)# [batch_size, num_heads, num_patches + 1, embed_dim_per_head]q, k, v = qkv[0], qkv[1], qkv[2]  # make torchscript happy (cannot use tensor as tuple)# transpose: -> [batch_size, num_heads, embed_dim_per_head, num_patches + 1]# @: multiply -> [batch_size, num_heads, num_patches + 1, num_patches + 1]attn = (q @ k.transpose(-2, -1)) * self.scaleattn = attn.softmax(dim=-1)attn = self.attn_drop(attn)# @: multiply -> [batch_size, num_heads, num_patches + 1, embed_dim_per_head]# transpose: -> [batch_size, num_patches + 1, num_heads, embed_dim_per_head]# reshape: -> [batch_size, num_patches + 1, total_embed_dim]x = (attn @ v).transpose(1, 2).reshape(B, N, C)x = self.proj(x)x = self.proj_drop(x)return xclass Mlp(nn.Module):"""MLP as used in Vision Transformer, MLP-Mixer and related networks"""def __init__(self, in_features, hidden_features=None, out_features=None, act_layer=nn.GELU, drop=0.):super().__init__()out_features = out_features or in_featureshidden_features = hidden_features or in_featuresself.fc1 = nn.Linear(in_features, hidden_features)self.act = act_layer()self.fc2 = nn.Linear(hidden_features, out_features)self.drop = nn.Dropout(drop)def forward(self, x):x = self.fc1(x)x = self.act(x)x = self.drop(x)x = self.fc2(x)x = self.drop(x)return xclass Block(nn.Module):def __init__(self,dim,num_heads,mlp_ratio=4.,qkv_bias=False,qk_scale=None,drop_ratio=0.,attn_drop_ratio=0.,drop_path_ratio=0.,act_layer=nn.GELU,norm_layer=nn.LayerNorm):super(Block, self).__init__()self.norm1 = norm_layer(dim)self.attn = Attention(dim, num_heads=num_heads, qkv_bias=qkv_bias, qk_scale=qk_scale,attn_drop_ratio=attn_drop_ratio, proj_drop_ratio=drop_ratio)# NOTE: drop path for stochastic depth, we shall see if this is better than dropout hereself.drop_path = DropPath(drop_path_ratio) if drop_path_ratio > 0. else nn.Identity()self.norm2 = norm_layer(dim)mlp_hidden_dim = int(dim * mlp_ratio)self.mlp = Mlp(in_features=dim, hidden_features=mlp_hidden_dim, act_layer=act_layer, drop=drop_ratio)def forward(self, x):x = x + self.drop_path(self.attn(self.norm1(x)))x = x + self.drop_path(self.mlp(self.norm2(x)))return xclass VisionTransformer(nn.Module):def __init__(self, img_size=224, patch_size=16, in_c=3, num_classes=1000,embed_dim=768, depth=12, num_heads=12, mlp_ratio=4.0, qkv_bias=True,qk_scale=None, representation_size=None, distilled=False, drop_ratio=0.,attn_drop_ratio=0., drop_path_ratio=0., embed_layer=PatchEmbed, norm_layer=None,act_layer=None):"""Args:img_size (int, tuple): input image sizepatch_size (int, tuple): patch sizein_c (int): number of input channelsnum_classes (int): number of classes for classification headembed_dim (int): embedding dimensiondepth (int): depth of transformernum_heads (int): number of attention headsmlp_ratio (int): ratio of mlp hidden dim to embedding dimqkv_bias (bool): enable bias for qkv if Trueqk_scale (float): override default qk scale of head_dim ** -0.5 if setrepresentation_size (Optional[int]): enable and set representation layer (pre-logits) to this value if setdistilled (bool): model includes a distillation token and head as in DeiT modelsdrop_ratio (float): dropout rateattn_drop_ratio (float): attention dropout ratedrop_path_ratio (float): stochastic depth rateembed_layer (nn.Module): patch embedding layernorm_layer: (nn.Module): normalization layer"""super(VisionTransformer, self).__init__()self.num_classes = num_classesself.num_features = self.embed_dim = embed_dim  # num_features for consistency with other modelsself.num_tokens = 2 if distilled else 1norm_layer = norm_layer or partial(nn.LayerNorm, eps=1e-6)act_layer = act_layer or nn.GELUself.patch_embed = embed_layer(img_size=img_size, patch_size=patch_size, in_c=in_c, embed_dim=embed_dim)num_patches = self.patch_embed.num_patchesself.cls_token = nn.Parameter(torch.zeros(1, 1, embed_dim))self.dist_token = nn.Parameter(torch.zeros(1, 1, embed_dim)) if distilled else Noneself.pos_embed = nn.Parameter(torch.zeros(1, num_patches + self.num_tokens, embed_dim))self.pos_drop = nn.Dropout(p=drop_ratio)dpr = [x.item() for x in torch.linspace(0, drop_path_ratio, depth)]  # stochastic depth decay ruleself.blocks = nn.Sequential(*[Block(dim=embed_dim, num_heads=num_heads, mlp_ratio=mlp_ratio, qkv_bias=qkv_bias, qk_scale=qk_scale,drop_ratio=drop_ratio, attn_drop_ratio=attn_drop_ratio, drop_path_ratio=dpr[i],norm_layer=norm_layer, act_layer=act_layer)for i in range(depth)])self.norm = norm_layer(embed_dim)# Representation layerif representation_size and not distilled:self.has_logits = Trueself.num_features = representation_sizeself.pre_logits = nn.Sequential(OrderedDict([("fc", nn.Linear(embed_dim, representation_size)),("act", nn.Tanh())]))else:self.has_logits = Falseself.pre_logits = nn.Identity()# Classifier head(s)self.head = nn.Linear(self.num_features, num_classes) if num_classes > 0 else nn.Identity()self.head_dist = Noneif distilled:self.head_dist = nn.Linear(self.embed_dim, self.num_classes) if num_classes > 0 else nn.Identity()# Weight initnn.init.trunc_normal_(self.pos_embed, std=0.02)if self.dist_token is not None:nn.init.trunc_normal_(self.dist_token, std=0.02)nn.init.trunc_normal_(self.cls_token, std=0.02)self.apply(_init_vit_weights)def forward_features(self, x):# [B, C, H, W] -> [B, num_patches, embed_dim]x = self.patch_embed(x)  # [B, 196, 768]# [1, 1, 768] -> [B, 1, 768]cls_token = self.cls_token.expand(x.shape[0], -1, -1)if self.dist_token is None:x = torch.cat((cls_token, x), dim=1)  # [B, 197, 768]else:x = torch.cat((cls_token, self.dist_token.expand(x.shape[0], -1, -1), x), dim=1)x = self.pos_drop(x + self.pos_embed)x = self.blocks(x)x = self.norm(x)if self.dist_token is None:return self.pre_logits(x[:, 0])else:return x[:, 0], x[:, 1]def forward(self, x):x = self.forward_features(x)if self.head_dist is not None:x, x_dist = self.head(x[0]), self.head_dist(x[1])if self.training and not torch.jit.is_scripting():# during inference, return the average of both classifier predictionsreturn x, x_distelse:return (x + x_dist) / 2else:x = self.head(x)return xdef _init_vit_weights(m):"""ViT weight initialization:param m: module"""if isinstance(m, nn.Linear):nn.init.trunc_normal_(m.weight, std=.01)if m.bias is not None:nn.init.zeros_(m.bias)elif isinstance(m, nn.Conv2d):nn.init.kaiming_normal_(m.weight, mode="fan_out")if m.bias is not None:nn.init.zeros_(m.bias)elif isinstance(m, nn.LayerNorm):nn.init.zeros_(m.bias)nn.init.ones_(m.weight)def vit_base_patch16_224(num_classes: int = 1000):"""ViT-Base model (ViT-B/16) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-1k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:链接: https://pan.baidu.com/s/1zqb08naP0RPqqfSXfkB2EA  密码: eu9f"""model = VisionTransformer(img_size=224,patch_size=16,embed_dim=768,depth=12,num_heads=12,representation_size=None,num_classes=num_classes)return modeldef vit_base_patch16_224_in21k(num_classes: int = 21843, has_logits: bool = True):"""ViT-Base model (ViT-B/16) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-21k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:https://github.com/rwightman/pytorch-image-models/releases/download/v0.1-vitjx/jx_vit_base_patch16_224_in21k-e5005f0a.pth"""model = VisionTransformer(img_size=224,patch_size=16,embed_dim=768,depth=12,num_heads=12,representation_size=768 if has_logits else None,num_classes=num_classes)return modeldef vit_base_patch32_224(num_classes: int = 1000):"""ViT-Base model (ViT-B/32) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-1k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:链接: https://pan.baidu.com/s/1hCv0U8pQomwAtHBYc4hmZg  密码: s5hl"""model = VisionTransformer(img_size=224,patch_size=32,embed_dim=768,depth=12,num_heads=12,representation_size=None,num_classes=num_classes)return modeldef vit_base_patch32_224_in21k(num_classes: int = 21843, has_logits: bool = True):"""ViT-Base model (ViT-B/32) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-21k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:https://github.com/rwightman/pytorch-image-models/releases/download/v0.1-vitjx/jx_vit_base_patch32_224_in21k-8db57226.pth"""model = VisionTransformer(img_size=224,patch_size=32,embed_dim=768,depth=12,num_heads=12,representation_size=768 if has_logits else None,num_classes=num_classes)return modeldef vit_large_patch16_224(num_classes: int = 1000):"""ViT-Large model (ViT-L/16) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-1k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:链接: https://pan.baidu.com/s/1cxBgZJJ6qUWPSBNcE4TdRQ  密码: qqt8"""model = VisionTransformer(img_size=224,patch_size=16,embed_dim=1024,depth=24,num_heads=16,representation_size=None,num_classes=num_classes)return modeldef vit_large_patch16_224_in21k(num_classes: int = 21843, has_logits: bool = True):"""ViT-Large model (ViT-L/16) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-21k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:https://github.com/rwightman/pytorch-image-models/releases/download/v0.1-vitjx/jx_vit_large_patch16_224_in21k-606da67d.pth"""model = VisionTransformer(img_size=224,patch_size=16,embed_dim=1024,depth=24,num_heads=16,representation_size=1024 if has_logits else None,num_classes=num_classes)return modeldef vit_large_patch32_224_in21k(num_classes: int = 21843, has_logits: bool = True):"""ViT-Large model (ViT-L/32) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-21k weights @ 224x224, source https://github.com/google-research/vision_transformer.weights ported from official Google JAX impl:https://github.com/rwightman/pytorch-image-models/releases/download/v0.1-vitjx/jx_vit_large_patch32_224_in21k-9046d2e7.pth"""model = VisionTransformer(img_size=224,patch_size=32,embed_dim=1024,depth=24,num_heads=16,representation_size=1024 if has_logits else None,num_classes=num_classes)return modeldef vit_huge_patch14_224_in21k(num_classes: int = 21843, has_logits: bool = True):"""ViT-Huge model (ViT-H/14) from original paper (https://arxiv.org/abs/2010.11929).ImageNet-21k weights @ 224x224, source https://github.com/google-research/vision_transformer.NOTE: converted weights not currently available, too large for github release hosting."""model = VisionTransformer(img_size=224,patch_size=14,embed_dim=1280,depth=32,num_heads=16,representation_size=1280 if has_logits else None,num_classes=num_classes)return model

参考：
1、https://65d8gk.axshare.com/?id=hk98lb&p=%E7%BD%91%E7%BB%9C%E7%BB%93%E6%9E%84&g=1&sc=3
2、哔哩哔哩视频
3、https://enzo-miman.github.io/#/2_transformer%E4%B8%8EDETR?id=transformer
4、https://github.com/Enzo-MiMan/cv_related_collections/blob/main/transformer_DETR/vision_transformer/vit_model.py