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| import math |
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| import numpy as np |
| import torch |
| from torch import nn |
| from transformers.activations import ACT2FN |
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| def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, extra_tokens=0): |
| grid_h = np.arange(grid_size, dtype=np.float32) |
| grid_w = np.arange(grid_size, dtype=np.float32) |
| grid = np.meshgrid(grid_w, grid_h) |
| 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 and extra_tokens > 0: |
| pos_embed = np.concatenate([np.zeros([extra_tokens, embed_dim]), pos_embed], axis=0) |
| return pos_embed |
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|
| def get_2d_sincos_pos_embed_from_grid(embed_dim, grid): |
| assert embed_dim % 2 == 0 |
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| |
| emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) |
| emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) |
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| emb = np.concatenate([emb_h, emb_w], axis=1) |
| return emb |
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| 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=np.float64) |
| omega /= embed_dim / 2. |
| omega = 1. / 10000**omega |
|
|
| pos = pos.reshape(-1) |
| out = np.einsum('m,d->md', pos, omega) |
|
|
| emb_sin = np.sin(out) |
| emb_cos = np.cos(out) |
|
|
| emb = np.concatenate([emb_sin, emb_cos], axis=1) |
| return emb |
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|
| def get_3d_sincos_pos_embed_from_grid(embed_dim, grid): |
| """ |
| Get 3D sine-cosine positional embeddings from a grid. |
| """ |
| assert embed_dim % 2 == 0, "Embedding dimension must be even for 3D embeddings" |
|
|
| |
| d = embed_dim // 3 |
| d = d if d % 2 == 0 else d - 1 |
| dim_t, dim_h = d, d |
| dim_w = embed_dim - 2 * d |
| assert dim_w % 2 == 0 |
|
|
| emb_t = get_1d_sincos_pos_embed_from_grid(dim_t, grid[0]) |
| emb_h = get_1d_sincos_pos_embed_from_grid(dim_h, grid[1]) |
| emb_w = get_1d_sincos_pos_embed_from_grid(dim_w, grid[2]) |
| return np.concatenate([emb_t, emb_h, emb_w], axis=1) |
|
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|
|
| def get_3d_sincos_pos_embed(embed_dim, t, h, w): |
| """ |
| Get 3D sine-cosine positional embeddings (v2 version, using thw indexing). |
| """ |
| grid_t = np.arange(t, dtype=np.float32) |
| grid_h = np.arange(h, dtype=np.float32) |
| grid_w = np.arange(w, dtype=np.float32) |
| tt, hh, ww = np.meshgrid(grid_t, grid_h, grid_w, indexing="ij") |
|
|
| grid = np.stack([tt, hh, ww], axis=0) |
| return get_3d_sincos_pos_embed_from_grid(embed_dim, grid) |
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| |
| class TimestepEmbedder(nn.Module): |
| """ |
| Embeds scalar timesteps into vector representations. |
| """ |
| def __init__(self, hidden_size, frequency_embedding_size=256): |
| super().__init__() |
| self.mlp = nn.Sequential( |
| nn.Linear(frequency_embedding_size, hidden_size, bias=True), |
| nn.SiLU(), |
| nn.Linear(hidden_size, hidden_size, bias=True), |
| ) |
| self.frequency_embedding_size = frequency_embedding_size |
|
|
| @staticmethod |
| def timestep_embedding(t, dim, max_period=10000): |
| """ |
| Create sinusoidal timestep embeddings. |
| :param t: a 1-D Tensor of N indices, one per batch element. |
| These may be fractional. |
| :param dim: the dimension of the output. |
| :param max_period: controls the minimum frequency of the embeddings. |
| :return: an (N, D) Tensor of positional embeddings. |
| """ |
| half = dim // 2 |
| freqs = torch.exp( |
| -math.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half |
| ).to(device=t.device) |
| args = t[:, None].float() * freqs[None] |
| embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1) |
| if dim % 2: |
| embedding = torch.cat([embedding, torch.zeros_like(embedding[:, :1])], dim=-1) |
| return embedding |
|
|
| def forward(self, t): |
| t_freq = self.timestep_embedding(t, self.frequency_embedding_size) |
| t_emb = self.mlp(t_freq) |
| return t_emb |
|
|
|
|
| class MLPconnector(nn.Module): |
| def __init__(self, in_dim: int, out_dim: int, hidden_act: str): |
| super().__init__() |
| self.activation_fn = ACT2FN[hidden_act] |
| self.fc1 = nn.Linear(in_dim, out_dim) |
| self.fc2 = nn.Linear(out_dim, out_dim) |
|
|
| def forward(self, hidden_states: torch.Tensor) -> torch.Tensor: |
| hidden_states = self.fc1(hidden_states) |
| hidden_states = self.activation_fn(hidden_states) |
| hidden_states = self.fc2(hidden_states) |
| return hidden_states |
|
|
|
|
| class PositionEmbedding(nn.Module): |
| def __init__(self, max_num_patch_per_side, hidden_size): |
| super().__init__() |
| self.max_num_patch_per_side = max_num_patch_per_side |
| self.hidden_size = hidden_size |
| self.pos_embed = nn.Parameter( |
| torch.zeros(max_num_patch_per_side ** 2, hidden_size), |
| requires_grad=False |
| ) |
| self._init_weights() |
|
|
| def _init_weights(self): |
| |
| pos_embed = get_2d_sincos_pos_embed(self.hidden_size, self.max_num_patch_per_side) |
| self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float()) |
|
|
| def forward(self, position_ids): |
| return self.pos_embed[position_ids] |
|
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|
|
| class PositionEmbedding3D(nn.Module): |
| def __init__(self, max_latent_num_frames, max_latent_size, hidden_size): |
| super().__init__() |
| self.max_num_latent_frames = max_latent_num_frames |
| self.max_latent_size = max_latent_size |
| self.hidden_size = hidden_size |
| self.temporal_dim, self.height_dim, self.width_dim = self._split_hidden_dims(hidden_size) |
|
|
| @staticmethod |
| def _split_hidden_dims(embed_dim: int) -> tuple[int, int, int]: |
| assert embed_dim % 2 == 0, "Embedding dimension must be even for 3D embeddings" |
| d = embed_dim // 3 |
| d = d if d % 2 == 0 else d - 1 |
| dim_t = d |
| dim_h = d |
| dim_w = embed_dim - 2 * d |
| assert dim_w % 2 == 0 |
| return dim_t, dim_h, dim_w |
|
|
| @staticmethod |
| def _build_1d_sincos(coords: torch.Tensor, embed_dim: int) -> torch.Tensor: |
| assert embed_dim % 2 == 0, "Embedding dimension must be even for 1D embeddings" |
| half = embed_dim // 2 |
| omega = torch.arange(half, device=coords.device, dtype=torch.float32) |
| omega = omega / (embed_dim / 2.0) |
| omega = 1.0 / (10000.0 ** omega) |
| args = coords.to(dtype=torch.float32)[:, None] * omega[None, :] |
| return torch.cat([torch.sin(args), torch.cos(args)], dim=-1) |
|
|
| def forward(self, position_ids): |
| position_ids = position_ids.reshape(-1).to(dtype=torch.long) |
| plane_size = self.max_latent_size * self.max_latent_size |
| t = position_ids // plane_size |
| rem = position_ids % plane_size |
| h = rem // self.max_latent_size |
| w = rem % self.max_latent_size |
|
|
| emb_t = self._build_1d_sincos(t, self.temporal_dim) |
| emb_h = self._build_1d_sincos(h, self.height_dim) |
| emb_w = self._build_1d_sincos(w, self.width_dim) |
| return torch.cat([emb_t, emb_h, emb_w], dim=-1) |
|
|