185 lines
5.4 KiB
Python
185 lines
5.4 KiB
Python
import math
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import torch
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import torch.nn as nn
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from einops import rearrange
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class PositionalEncoding(nn.Module):
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def __init__(self, num_octaves, start_octave):
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super().__init__()
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self.num_octaves = num_octaves
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self.start_octave = start_octave
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def forward(self, coords):
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embed_fns = []
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batch_size, num_points, dim = coords.shape
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octaves = torch.arange(self.start_octave, self.start_octave + self.num_octaves)
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octaves = octaves.float().to(coords)
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multipliers = 2**octaves * math.pi
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coords = coords.unsqueeze(-1)
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while len(multipliers.shape) < len(coords.shape):
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multipliers = multipliers.unsqueeze(0)
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scaled_coords = coords * multipliers
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sines = torch.sin(scaled_coords).reshape(
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batch_size, num_points, dim * self.num_octaves
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)
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cosines = torch.cos(scaled_coords).reshape(
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batch_size, num_points, dim * self.num_octaves
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)
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result = torch.cat((sines, cosines), -1)
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return result
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class FSRTPosEncoder(nn.Module):
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def __init__(
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self, kp_octaves=4, kp_start_octave=-1, pix_start_octave=-1, pix_octaves=16
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):
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super().__init__()
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self.kp_encoding = PositionalEncoding(
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num_octaves=kp_octaves, start_octave=kp_start_octave
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)
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self.pix_encoding = PositionalEncoding(
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num_octaves=pix_octaves, start_octave=pix_start_octave
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)
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def forward(self, pixels, kps=None):
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if len(pixels.shape) == 4:
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batchsize, height, width, _ = pixels.shape
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pixels = pixels.flatten(1, 2)
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pix_enc = self.pix_encoding(pixels)
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pix_enc = pix_enc.view(batchsize, height, width, pix_enc.shape[-1])
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pix_enc = pix_enc.permute((0, 3, 1, 2))
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if kps is not None:
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kp_enc = self.kp_encoding(kps.unsqueeze(1))
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kp_enc = kp_enc.view(batchsize, kp_enc.shape[-1], 1, 1).repeat(
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1, 1, height, width
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)
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x = torch.cat((kp_enc, pix_enc), 1)
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else:
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pix_enc = self.pix_encoding(pixels)
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if kps is not None:
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kp_enc = self.kp_encoding(kps)
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x = torch.cat((kp_enc, pix_enc), -1)
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return x
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# Transformer implementation based on ViT
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# https://github.com/lucidrains/vit-pytorch/blob/main/vit_pytorch/vit.py
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class PreNorm(nn.Module):
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def __init__(self, dim, fn):
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super().__init__()
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self.norm = nn.LayerNorm(dim)
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self.fn = fn
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def forward(self, x, **kwargs):
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return self.fn(self.norm(x), **kwargs)
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class FeedForward(nn.Module):
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def __init__(self, dim, hidden_dim, dropout=0.0):
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super().__init__()
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self.net = nn.Sequential(
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nn.Linear(dim, hidden_dim),
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nn.GELU(),
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nn.Dropout(dropout),
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nn.Linear(hidden_dim, dim),
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nn.Dropout(dropout),
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)
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def forward(self, x):
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return self.net(x)
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class Attention(nn.Module):
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def __init__(
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self, dim, heads=8, dim_head=64, dropout=0.0, selfatt=True, kv_dim=None
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):
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super().__init__()
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inner_dim = dim_head * heads
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project_out = not (heads == 1 and dim_head == dim)
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self.heads = heads
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self.scale = dim_head**-0.5
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self.attend = nn.Softmax(dim=-1)
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if selfatt:
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self.to_qkv = nn.Linear(dim, inner_dim * 3, bias=False)
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else:
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self.to_q = nn.Linear(dim, inner_dim, bias=False)
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self.to_kv = nn.Linear(kv_dim, inner_dim * 2, bias=False)
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self.to_out = (
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nn.Sequential(nn.Linear(inner_dim, dim), nn.Dropout(dropout))
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if project_out
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else nn.Identity()
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)
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def forward(self, x, z=None):
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if z is None:
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qkv = self.to_qkv(x).chunk(3, dim=-1)
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else:
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q = self.to_q(x)
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k, v = self.to_kv(z).chunk(2, dim=-1)
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qkv = (q, k, v)
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q, k, v = map(lambda t: rearrange(t, "b n (h d) -> b h n d", h=self.heads), qkv)
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dots = torch.matmul(q, k.transpose(-1, -2)) * self.scale
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attn = self.attend(dots)
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out = torch.matmul(attn, v)
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out = rearrange(out, "b h n d -> b n (h d)")
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return self.to_out(out)
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class Transformer(nn.Module):
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def __init__(
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self,
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dim,
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depth,
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heads,
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dim_head,
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mlp_dim,
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dropout=0.0,
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selfatt=True,
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kv_dim=None,
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):
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super().__init__()
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self.layers = nn.ModuleList([])
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for _ in range(depth):
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self.layers.append(
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nn.ModuleList(
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[
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PreNorm(
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dim,
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Attention(
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dim,
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heads=heads,
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dim_head=dim_head,
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dropout=dropout,
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selfatt=selfatt,
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kv_dim=kv_dim,
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),
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),
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PreNorm(dim, FeedForward(dim, mlp_dim, dropout=dropout)),
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]
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)
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)
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def forward(self, x, z=None):
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for attn, ff in self.layers:
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x = attn(x, z=z) + x
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x = ff(x) + x
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return x
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