# Copyright (c) Meta Platforms, Inc. and affiliates. # All rights reserved. # # This source code is licensed under the license found in the # LICENSE file in the root directory of this source tree. # import math from functools import partial import numpy as np import torch import torch.nn as nn def _no_grad_trunc_normal_(tensor, mean, std, a, b): # Cut & paste from PyTorch official master until it's in a few official releases - RW # Method based on https://people.sc.fsu.edu/~jburkardt/presentations/truncated_normal.pdf def norm_cdf(x): # Computes standard normal cumulative distribution function return (1. + math.erf(x / math.sqrt(2.))) / 2. with torch.no_grad(): # Values are generated by using a truncated uniform distribution and # then using the inverse CDF for the normal distribution. # Get upper and lower cdf values l = norm_cdf((a - mean) / std) u = norm_cdf((b - mean) / std) # Uniformly fill tensor with values from [l, u], then translate to # [2l-1, 2u-1]. tensor.uniform_(2 * l - 1, 2 * u - 1) # Use inverse cdf transform for normal distribution to get truncated # standard normal tensor.erfinv_() # Transform to proper mean, std tensor.mul_(std * math.sqrt(2.)) tensor.add_(mean) # Clamp to ensure it's in the proper range tensor.clamp_(min=a, max=b) return tensor def trunc_normal_(tensor, mean=0., std=1., a=-2., b=2.): return _no_grad_trunc_normal_(tensor, mean, std, a, b) def repeat_interleave_batch(x, B, repeat): N = len(x) // B x = torch.cat([ torch.cat([x[i*B:(i+1)*B] for _ in range(repeat)], dim=0) for i in range(N) ], dim=0) return x def apply_masks(x, masks): """ :param x: tensor of shape [B (batch-size), N (num-patches), D (feature-dim)] :param masks: list of tensors containing indices of patches in [N] to keep """ all_x = [] for m in masks: mask_keep = m.unsqueeze(-1).repeat(1, 1, x.size(-1)) all_x += [torch.gather(x, dim=1, index=mask_keep)] return torch.cat(all_x, dim=0) def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False): """ grid_size: int of the grid height and width return: pos_embed: [grid_size*grid_size, embed_dim] or [1+grid_size*grid_size, embed_dim] (w/ or w/o cls_token) """ grid_h = np.arange(grid_size, dtype=float) grid_w = np.arange(grid_size, dtype=float) grid = np.meshgrid(grid_w, grid_h) # here w goes first grid = np.stack(grid, axis=0) grid = grid.reshape([2, 1, grid_size, grid_size]) pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid) if cls_token: pos_embed = np.concatenate([np.zeros([1, embed_dim]), pos_embed], axis=0) return pos_embed def get_2d_sincos_pos_embed_from_grid(embed_dim, grid): assert embed_dim % 2 == 0 # use half of dimensions to encode grid_h emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2) emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2) emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D) return emb def get_1d_sincos_pos_embed(embed_dim, grid_size, cls_token=False): """ grid_size: int of the grid length return: pos_embed: [grid_size, embed_dim] or [1+grid_size, embed_dim] (w/ or w/o cls_token) """ grid = np.arange(grid_size, dtype=float) pos_embed = get_1d_sincos_pos_embed_from_grid(embed_dim, grid) if cls_token: pos_embed = np.concatenate([np.zeros([1, embed_dim]), pos_embed], axis=0) return pos_embed def get_1d_sincos_pos_embed_from_grid(embed_dim, pos): """ embed_dim: output dimension for each position pos: a list of positions to be encoded: size (M,) out: (M, D) """ assert embed_dim % 2 == 0 omega = np.arange(embed_dim // 2, dtype=float) omega /= embed_dim / 2. omega = 1. / 10000**omega # (D/2,) pos = pos.reshape(-1) # (M,) out = np.einsum('m,d->md', pos, omega) # (M, D/2), outer product emb_sin = np.sin(out) # (M, D/2) emb_cos = np.cos(out) # (M, D/2) emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D) return emb def drop_path(x, drop_prob: float = 0., training: bool = False): if drop_prob == 0. or not training: return x keep_prob = 1 - drop_prob shape = (x.shape[0],) + (1,) * (x.ndim - 1) # work with diff dim tensors, not just 2D ConvNets random_tensor = keep_prob + torch.rand(shape, dtype=x.dtype, device=x.device) random_tensor.floor_() # binarize output = x.div(keep_prob) * random_tensor return output class 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_prob def forward(self, x): return drop_path(x, self.drop_prob, self.training) class MLP(nn.Module): 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_features hidden_features = hidden_features or in_features self.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 x class Attention(nn.Module): def __init__(self, dim, num_heads=8, qkv_bias=False, qk_scale=None, attn_drop=0., proj_drop=0.): super().__init__() self.num_heads = num_heads head_dim = dim // num_heads self.scale = qk_scale or head_dim ** -0.5 self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias) self.attn_drop = nn.Dropout(attn_drop) self.proj = nn.Linear(dim, dim) self.proj_drop = nn.Dropout(proj_drop) def forward(self, x): B, N, C = x.shape qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 3, 1, 4) q, k, v = qkv[0], qkv[1], qkv[2] attn = (q @ k.transpose(-2, -1)) * self.scale attn = attn.softmax(dim=-1) attn = self.attn_drop(attn) x = (attn @ v).transpose(1, 2).reshape(B, N, C) x = self.proj(x) x = self.proj_drop(x) return x, attn class Block(nn.Module): def __init__(self, dim, num_heads, mlp_ratio=4., qkv_bias=False, qk_scale=None, drop=0., attn_drop=0., drop_path=0., act_layer=nn.GELU, norm_layer=nn.LayerNorm): super().__init__() self.norm1 = norm_layer(dim) self.attn = Attention( dim, num_heads=num_heads, qkv_bias=qkv_bias, qk_scale=qk_scale, attn_drop=attn_drop, proj_drop=drop) self.drop_path = DropPath(drop_path) if drop_path > 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) def forward(self, x, return_attention=False): y, attn = self.attn(self.norm1(x)) if return_attention: return attn x = x + self.drop_path(y) x = x + self.drop_path(self.mlp(self.norm2(x))) return x class PatchEmbed(nn.Module): """ Image to Patch Embedding """ def __init__(self, img_size=224, patch_size=16, in_chans=3, embed_dim=768): super().__init__() num_patches = (img_size // patch_size) * (img_size // patch_size) self.img_size = img_size self.patch_size = patch_size self.num_patches = num_patches self.proj = nn.Conv2d(in_chans, embed_dim, kernel_size=patch_size, stride=patch_size) def forward(self, x): B, C, H, W = x.shape x = self.proj(x).flatten(2).transpose(1, 2) return x class ConvEmbed(nn.Module): """ 3x3 Convolution stems for ViT following ViTC models """ def __init__(self, channels, strides, img_size=224, in_chans=3, batch_norm=True): super().__init__() # Build the stems stem = [] channels = [in_chans] + channels for i in range(len(channels) - 2): stem += [nn.Conv2d(channels[i], channels[i+1], kernel_size=3, stride=strides[i], padding=1, bias=(not batch_norm))] if batch_norm: stem += [nn.BatchNorm2d(channels[i+1])] stem += [nn.ReLU(inplace=True)] stem += [nn.Conv2d(channels[-2], channels[-1], kernel_size=1, stride=strides[-1])] self.stem = nn.Sequential(*stem) # Comptute the number of patches stride_prod = int(np.prod(strides)) self.num_patches = (img_size[0] // stride_prod)**2 def forward(self, x): p = self.stem(x) return p.flatten(2).transpose(1, 2) class VisionTransformerPredictor(nn.Module): """ Vision Transformer """ def __init__( self, num_patches, embed_dim=768, predictor_embed_dim=384, depth=6, num_heads=12, mlp_ratio=4.0, qkv_bias=True, qk_scale=None, drop_rate=0.0, attn_drop_rate=0.0, drop_path_rate=0.0, norm_layer=nn.LayerNorm, init_std=0.02, **kwargs ): super().__init__() self.predictor_embed = nn.Linear(embed_dim, predictor_embed_dim, bias=True) self.mask_token = nn.Parameter(torch.zeros(1, 1, predictor_embed_dim)) dpr = [x.item() for x in torch.linspace(0, drop_path_rate, depth)] # stochastic depth decay rule # -- self.predictor_pos_embed = nn.Parameter(torch.zeros(1, num_patches, predictor_embed_dim), requires_grad=False) predictor_pos_embed = get_2d_sincos_pos_embed(self.predictor_pos_embed.shape[-1], int(num_patches**.5), cls_token=False) self.predictor_pos_embed.data.copy_(torch.from_numpy(predictor_pos_embed).float().unsqueeze(0)) # -- self.predictor_blocks = nn.ModuleList([ Block( dim=predictor_embed_dim, num_heads=num_heads, mlp_ratio=mlp_ratio, qkv_bias=qkv_bias, qk_scale=qk_scale, drop=drop_rate, attn_drop=attn_drop_rate, drop_path=dpr[i], norm_layer=norm_layer) for i in range(depth)]) self.predictor_norm = norm_layer(predictor_embed_dim) self.predictor_proj = nn.Linear(predictor_embed_dim, embed_dim, bias=True) # ------ self.init_std = init_std trunc_normal_(self.mask_token, std=self.init_std) self.apply(self._init_weights) self.fix_init_weight() def fix_init_weight(self): def rescale(param, layer_id): param.div_(math.sqrt(2.0 * layer_id)) for layer_id, layer in enumerate(self.predictor_blocks): rescale(layer.attn.proj.weight.data, layer_id + 1) rescale(layer.mlp.fc2.weight.data, layer_id + 1) def _init_weights(self, m): if isinstance(m, nn.Linear): trunc_normal_(m.weight, std=self.init_std) if isinstance(m, nn.Linear) and m.bias is not None: nn.init.constant_(m.bias, 0) elif isinstance(m, nn.LayerNorm): nn.init.constant_(m.bias, 0) nn.init.constant_(m.weight, 1.0) elif isinstance(m, nn.Conv2d): trunc_normal_(m.weight, std=self.init_std) if m.bias is not None: nn.init.constant_(m.bias, 0) def forward(self, x, masks_x, masks): assert (masks is not None) and (masks_x is not None), 'Cannot run predictor without mask indices' if not isinstance(masks_x, list): masks_x = [masks_x] if not isinstance(masks, list): masks = [masks] # -- Batch Size B = len(x) // len(masks_x) # -- map from encoder-dim to pedictor-dim x = self.predictor_embed(x) # -- add positional embedding to x tokens x_pos_embed = self.predictor_pos_embed.repeat(B, 1, 1) x += apply_masks(x_pos_embed, masks_x) _, N_ctxt, D = x.shape # -- concat mask tokens to x pos_embs = self.predictor_pos_embed.repeat(B, 1, 1) pos_embs = apply_masks(pos_embs, masks) pos_embs = repeat_interleave_batch(pos_embs, B, repeat=len(masks_x)) # -- pred_tokens = self.mask_token.repeat(pos_embs.size(0), pos_embs.size(1), 1) # -- pred_tokens += pos_embs x = x.repeat(len(masks), 1, 1) x = torch.cat([x, pred_tokens], dim=1) # -- fwd prop for blk in self.predictor_blocks: x = blk(x) x = self.predictor_norm(x) # -- return preds for mask tokens x = x[:, N_ctxt:] x = self.predictor_proj(x) return x class VisionTransformer(nn.Module): """ Vision Transformer """ def __init__( self, img_size=[224], patch_size=16, in_chans=3, embed_dim=768, predictor_embed_dim=384, depth=12, predictor_depth=12, num_heads=12, mlp_ratio=4.0, qkv_bias=True, qk_scale=None, drop_rate=0.0, attn_drop_rate=0.0, drop_path_rate=0.0, norm_layer=nn.LayerNorm, init_std=0.02, **kwargs ): super().__init__() self.num_features = self.embed_dim = embed_dim self.num_heads = num_heads # -- self.patch_embed = PatchEmbed( img_size=img_size[0], patch_size=patch_size, in_chans=in_chans, embed_dim=embed_dim) num_patches = self.patch_embed.num_patches # -- self.pos_embed = nn.Parameter(torch.zeros(1, num_patches, embed_dim), requires_grad=False) pos_embed = get_2d_sincos_pos_embed(self.pos_embed.shape[-1], int(self.patch_embed.num_patches**.5), cls_token=False) self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0)) # -- dpr = [x.item() for x in torch.linspace(0, drop_path_rate, depth)] # stochastic depth decay rule self.blocks = nn.ModuleList([ Block( dim=embed_dim, num_heads=num_heads, mlp_ratio=mlp_ratio, qkv_bias=qkv_bias, qk_scale=qk_scale, drop=drop_rate, attn_drop=attn_drop_rate, drop_path=dpr[i], norm_layer=norm_layer) for i in range(depth)]) self.norm = norm_layer(embed_dim) # ------ self.init_std = init_std self.apply(self._init_weights) self.fix_init_weight() def fix_init_weight(self): def rescale(param, layer_id): param.div_(math.sqrt(2.0 * layer_id)) for layer_id, layer in enumerate(self.blocks): rescale(layer.attn.proj.weight.data, layer_id + 1) rescale(layer.mlp.fc2.weight.data, layer_id + 1) def _init_weights(self, m): if isinstance(m, nn.Linear): trunc_normal_(m.weight, std=self.init_std) if isinstance(m, nn.Linear) and m.bias is not None: nn.init.constant_(m.bias, 0) elif isinstance(m, nn.LayerNorm): nn.init.constant_(m.bias, 0) nn.init.constant_(m.weight, 1.0) elif isinstance(m, nn.Conv2d): trunc_normal_(m.weight, std=self.init_std) if m.bias is not None: nn.init.constant_(m.bias, 0) def forward(self, x, masks=None): if masks is not None: if not isinstance(masks, list): masks = [masks] # -- patchify x x = self.patch_embed(x) B, N, D = x.shape # -- add positional embedding to x pos_embed = self.interpolate_pos_encoding(x, self.pos_embed) x = x + pos_embed # -- mask x if masks is not None: x = apply_masks(x, masks) # -- fwd prop for i, blk in enumerate(self.blocks): x = blk(x) if self.norm is not None: x = self.norm(x) return x def interpolate_pos_encoding(self, x, pos_embed): npatch = x.shape[1] - 1 N = pos_embed.shape[1] - 1 if npatch == N: return pos_embed class_emb = pos_embed[:, 0] pos_embed = pos_embed[:, 1:] dim = x.shape[-1] pos_embed = nn.functional.interpolate( pos_embed.reshape(1, int(math.sqrt(N)), int(math.sqrt(N)), dim).permute(0, 3, 1, 2), scale_factor=math.sqrt(npatch / N), mode='bicubic', ) pos_embed = pos_embed.permute(0, 2, 3, 1).view(1, -1, dim) return torch.cat((class_emb.unsqueeze(0), pos_embed), dim=1) def vit_predictor(**kwargs): model = VisionTransformerPredictor( mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_tiny(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=192, depth=12, num_heads=3, mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_small(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=384, depth=12, num_heads=6, mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_base(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=768, depth=12, num_heads=12, mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_large(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=1024, depth=24, num_heads=16, mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_huge(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=1280, depth=32, num_heads=16, mlp_ratio=4, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model def vit_giant(patch_size=16, **kwargs): model = VisionTransformer( patch_size=patch_size, embed_dim=1408, depth=40, num_heads=16, mlp_ratio=48/11, qkv_bias=True, norm_layer=partial(nn.LayerNorm, eps=1e-6), **kwargs) return model VIT_EMBED_DIMS = { 'vit_tiny': 192, 'vit_small': 384, 'vit_base': 768, 'vit_large': 1024, 'vit_huge': 1280, 'vit_giant': 1408, }