372 lines
13 KiB
Python
372 lines
13 KiB
Python
# Copyright 2023 The HuggingFace Team. All rights reserved.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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import math
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from typing import Optional
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import numpy as np
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import torch
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from torch import nn
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def get_timestep_embedding(
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timesteps: torch.Tensor,
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embedding_dim: int,
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flip_sin_to_cos: bool = False,
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downscale_freq_shift: float = 1,
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scale: float = 1,
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max_period: int = 10000,
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):
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"""
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This matches the implementation in Denoising Diffusion Probabilistic Models: Create sinusoidal timestep embeddings.
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:param timesteps: a 1-D Tensor of N indices, one per batch element.
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These may be fractional.
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:param embedding_dim: the dimension of the output. :param max_period: controls the minimum frequency of the
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embeddings. :return: an [N x dim] Tensor of positional embeddings.
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"""
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assert len(timesteps.shape) == 1, "Timesteps should be a 1d-array"
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half_dim = embedding_dim // 2
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exponent = -math.log(max_period) * torch.arange(
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start=0, end=half_dim, dtype=torch.float32, device=timesteps.device
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)
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exponent = exponent / (half_dim - downscale_freq_shift)
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emb = torch.exp(exponent)
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emb = timesteps[:, None].float() * emb[None, :]
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# scale embeddings
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emb = scale * emb
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# concat sine and cosine embeddings
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emb = torch.cat([torch.sin(emb), torch.cos(emb)], dim=-1)
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# flip sine and cosine embeddings
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if flip_sin_to_cos:
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emb = torch.cat([emb[:, half_dim:], emb[:, :half_dim]], dim=-1)
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# zero pad
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if embedding_dim % 2 == 1:
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emb = torch.nn.functional.pad(emb, (0, 1, 0, 0))
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return emb
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def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, extra_tokens=0):
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"""
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grid_size: int of the grid height and width return: pos_embed: [grid_size*grid_size, embed_dim] or
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[1+grid_size*grid_size, embed_dim] (w/ or w/o cls_token)
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"""
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grid_h = np.arange(grid_size, dtype=np.float32)
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grid_w = np.arange(grid_size, dtype=np.float32)
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grid = np.meshgrid(grid_w, grid_h) # here w goes first
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grid = np.stack(grid, axis=0)
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grid = grid.reshape([2, 1, grid_size, grid_size])
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pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid)
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if cls_token and extra_tokens > 0:
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pos_embed = np.concatenate([np.zeros([extra_tokens, embed_dim]), pos_embed], axis=0)
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return pos_embed
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def get_2d_sincos_pos_embed_from_grid(embed_dim, grid):
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if embed_dim % 2 != 0:
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raise ValueError("embed_dim must be divisible by 2")
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# use half of dimensions to encode grid_h
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emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2)
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emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2)
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emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D)
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return emb
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def get_1d_sincos_pos_embed_from_grid(embed_dim, pos):
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"""
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embed_dim: output dimension for each position pos: a list of positions to be encoded: size (M,) out: (M, D)
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"""
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if embed_dim % 2 != 0:
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raise ValueError("embed_dim must be divisible by 2")
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omega = np.arange(embed_dim // 2, dtype=np.float64)
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omega /= embed_dim / 2.0
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omega = 1.0 / 10000**omega # (D/2,)
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pos = pos.reshape(-1) # (M,)
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out = np.einsum("m,d->md", pos, omega) # (M, D/2), outer product
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emb_sin = np.sin(out) # (M, D/2)
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emb_cos = np.cos(out) # (M, D/2)
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emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D)
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return emb
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class PatchEmbed(nn.Module):
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"""2D Image to Patch Embedding"""
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def __init__(
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self,
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height=224,
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width=224,
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patch_size=16,
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in_channels=3,
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embed_dim=768,
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layer_norm=False,
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flatten=True,
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bias=True,
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):
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super().__init__()
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num_patches = (height // patch_size) * (width // patch_size)
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self.flatten = flatten
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self.layer_norm = layer_norm
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self.proj = nn.Conv2d(
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in_channels, embed_dim, kernel_size=(patch_size, patch_size), stride=patch_size, bias=bias
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)
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if layer_norm:
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self.norm = nn.LayerNorm(embed_dim, elementwise_affine=False, eps=1e-6)
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else:
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self.norm = None
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pos_embed = get_2d_sincos_pos_embed(embed_dim, int(num_patches**0.5))
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self.register_buffer("pos_embed", torch.from_numpy(pos_embed).float().unsqueeze(0), persistent=False)
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def forward(self, latent):
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latent = self.proj(latent)
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if self.flatten:
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latent = latent.flatten(2).transpose(1, 2) # BCHW -> BNC
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if self.layer_norm:
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latent = self.norm(latent)
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return latent + self.pos_embed
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class TimestepEmbedding(nn.Module):
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def __init__(
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self,
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in_channels: int,
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time_embed_dim: int,
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act_fn: str = "silu",
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out_dim: int = None,
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post_act_fn: Optional[str] = None,
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cond_proj_dim=None,
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):
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super().__init__()
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self.linear_1 = nn.Linear(in_channels, time_embed_dim)
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if cond_proj_dim is not None:
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self.cond_proj = nn.Linear(cond_proj_dim, in_channels, bias=False)
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else:
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self.cond_proj = None
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if act_fn == "silu":
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self.act = nn.SiLU()
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elif act_fn == "mish":
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self.act = nn.Mish()
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elif act_fn == "gelu":
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self.act = nn.GELU()
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else:
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raise ValueError(f"{act_fn} does not exist. Make sure to define one of 'silu', 'mish', or 'gelu'")
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if out_dim is not None:
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time_embed_dim_out = out_dim
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else:
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time_embed_dim_out = time_embed_dim
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self.linear_2 = nn.Linear(time_embed_dim, time_embed_dim_out)
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if post_act_fn is None:
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self.post_act = None
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elif post_act_fn == "silu":
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self.post_act = nn.SiLU()
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elif post_act_fn == "mish":
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self.post_act = nn.Mish()
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elif post_act_fn == "gelu":
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self.post_act = nn.GELU()
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else:
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raise ValueError(f"{post_act_fn} does not exist. Make sure to define one of 'silu', 'mish', or 'gelu'")
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def forward(self, sample, condition=None):
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if condition is not None:
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sample = sample + self.cond_proj(condition)
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sample = self.linear_1(sample)
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if self.act is not None:
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sample = self.act(sample)
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sample = self.linear_2(sample)
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if self.post_act is not None:
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sample = self.post_act(sample)
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return sample
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class Timesteps(nn.Module):
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def __init__(self, num_channels: int, flip_sin_to_cos: bool, downscale_freq_shift: float):
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super().__init__()
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self.num_channels = num_channels
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self.flip_sin_to_cos = flip_sin_to_cos
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self.downscale_freq_shift = downscale_freq_shift
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def forward(self, timesteps):
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t_emb = get_timestep_embedding(
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timesteps,
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self.num_channels,
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flip_sin_to_cos=self.flip_sin_to_cos,
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downscale_freq_shift=self.downscale_freq_shift,
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)
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return t_emb
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class GaussianFourierProjection(nn.Module):
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"""Gaussian Fourier embeddings for noise levels."""
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def __init__(
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self, embedding_size: int = 256, scale: float = 1.0, set_W_to_weight=True, log=True, flip_sin_to_cos=False
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):
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super().__init__()
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self.weight = nn.Parameter(torch.randn(embedding_size) * scale, requires_grad=False)
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self.log = log
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self.flip_sin_to_cos = flip_sin_to_cos
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if set_W_to_weight:
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# to delete later
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self.W = nn.Parameter(torch.randn(embedding_size) * scale, requires_grad=False)
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self.weight = self.W
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def forward(self, x):
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if self.log:
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x = torch.log(x)
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x_proj = x[:, None] * self.weight[None, :] * 2 * np.pi
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if self.flip_sin_to_cos:
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out = torch.cat([torch.cos(x_proj), torch.sin(x_proj)], dim=-1)
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else:
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out = torch.cat([torch.sin(x_proj), torch.cos(x_proj)], dim=-1)
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return out
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class ImagePositionalEmbeddings(nn.Module):
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"""
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Converts latent image classes into vector embeddings. Sums the vector embeddings with positional embeddings for the
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height and width of the latent space.
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For more details, see figure 10 of the dall-e paper: https://arxiv.org/abs/2102.12092
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For VQ-diffusion:
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Output vector embeddings are used as input for the transformer.
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Note that the vector embeddings for the transformer are different than the vector embeddings from the VQVAE.
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Args:
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num_embed (`int`):
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Number of embeddings for the latent pixels embeddings.
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height (`int`):
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Height of the latent image i.e. the number of height embeddings.
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width (`int`):
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Width of the latent image i.e. the number of width embeddings.
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embed_dim (`int`):
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Dimension of the produced vector embeddings. Used for the latent pixel, height, and width embeddings.
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"""
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def __init__(
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self,
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num_embed: int,
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height: int,
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width: int,
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embed_dim: int,
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):
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super().__init__()
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self.height = height
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self.width = width
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self.num_embed = num_embed
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self.embed_dim = embed_dim
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self.emb = nn.Embedding(self.num_embed, embed_dim)
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self.height_emb = nn.Embedding(self.height, embed_dim)
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self.width_emb = nn.Embedding(self.width, embed_dim)
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def forward(self, index):
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emb = self.emb(index)
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height_emb = self.height_emb(torch.arange(self.height, device=index.device).view(1, self.height))
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# 1 x H x D -> 1 x H x 1 x D
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height_emb = height_emb.unsqueeze(2)
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width_emb = self.width_emb(torch.arange(self.width, device=index.device).view(1, self.width))
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# 1 x W x D -> 1 x 1 x W x D
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width_emb = width_emb.unsqueeze(1)
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pos_emb = height_emb + width_emb
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# 1 x H x W x D -> 1 x L xD
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pos_emb = pos_emb.view(1, self.height * self.width, -1)
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emb = emb + pos_emb[:, : emb.shape[1], :]
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return emb
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class LabelEmbedding(nn.Module):
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"""
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Embeds class labels into vector representations. Also handles label dropout for classifier-free guidance.
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Args:
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num_classes (`int`): The number of classes.
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hidden_size (`int`): The size of the vector embeddings.
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dropout_prob (`float`): The probability of dropping a label.
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"""
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def __init__(self, num_classes, hidden_size, dropout_prob):
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super().__init__()
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use_cfg_embedding = dropout_prob > 0
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self.embedding_table = nn.Embedding(num_classes + use_cfg_embedding, hidden_size)
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self.num_classes = num_classes
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self.dropout_prob = dropout_prob
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def token_drop(self, labels, force_drop_ids=None):
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"""
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Drops labels to enable classifier-free guidance.
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"""
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if force_drop_ids is None:
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drop_ids = torch.rand(labels.shape[0], device=labels.device) < self.dropout_prob
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else:
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drop_ids = torch.tensor(force_drop_ids == 1)
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labels = torch.where(drop_ids, self.num_classes, labels)
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return labels
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def forward(self, labels, force_drop_ids=None):
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use_dropout = self.dropout_prob > 0
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if (self.training and use_dropout) or (force_drop_ids is not None):
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labels = self.token_drop(labels, force_drop_ids)
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embeddings = self.embedding_table(labels)
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return embeddings
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class CombinedTimestepLabelEmbeddings(nn.Module):
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def __init__(self, num_classes, embedding_dim, class_dropout_prob=0.1):
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super().__init__()
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self.time_proj = Timesteps(num_channels=256, flip_sin_to_cos=True, downscale_freq_shift=1)
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self.timestep_embedder = TimestepEmbedding(in_channels=256, time_embed_dim=embedding_dim)
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self.class_embedder = LabelEmbedding(num_classes, embedding_dim, class_dropout_prob)
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def forward(self, timestep, class_labels, hidden_dtype=None):
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timesteps_proj = self.time_proj(timestep)
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timesteps_emb = self.timestep_embedder(timesteps_proj.to(dtype=hidden_dtype)) # (N, D)
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class_labels = self.class_embedder(class_labels) # (N, D)
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conditioning = timesteps_emb + class_labels # (N, D)
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return conditioning |