Spaces:
Sleeping
Sleeping
File size: 5,039 Bytes
a6cec16 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 |
import torch
from typing import Tuple, Callable
def do_nothing(x: torch.Tensor, mode:str=None):
return x
def mps_gather_workaround(input, dim, index):
if input.shape[-1] == 1:
return torch.gather(
input.unsqueeze(-1),
dim - 1 if dim < 0 else dim,
index.unsqueeze(-1)
).squeeze(-1)
else:
return torch.gather(input, dim, index)
def bipartite_soft_matching_random2d(metric: torch.Tensor,
w: int, h: int, sx: int, sy: int, r: int,
no_rand: bool = False,
generator: torch.Generator = None) -> Tuple[Callable, Callable]:
"""
Partitions the tokens into src and dst and merges r tokens from src to dst.
Dst tokens are partitioned by choosing one randomy in each (sx, sy) region.
Args:
- metric [B, N, C]: metric to use for similarity
- w: image width in tokens
- h: image height in tokens
- sx: stride in the x dimension for dst, must divide w
- sy: stride in the y dimension for dst, must divide h
- r: number of tokens to remove (by merging)
- no_rand: if true, disable randomness (use top left corner only)
- rand_seed: if no_rand is false, and if not None, sets random seed.
"""
B, N, _ = metric.shape
if r <= 0:
return do_nothing, do_nothing
gather = mps_gather_workaround if metric.device.type == "mps" else torch.gather
with torch.no_grad():
hsy, wsx = h // sy, w // sx
# For each sy by sx kernel, randomly assign one token to be dst and the rest src
if no_rand:
rand_idx = torch.zeros(hsy, wsx, 1, device=metric.device, dtype=torch.int64)
else:
rand_idx = torch.randint(sy*sx, size=(hsy, wsx, 1), device=generator.device, generator=generator).to(metric.device)
# The image might not divide sx and sy, so we need to work on a view of the top left if the idx buffer instead
idx_buffer_view = torch.zeros(hsy, wsx, sy*sx, device=metric.device, dtype=torch.int64)
idx_buffer_view.scatter_(dim=2, index=rand_idx, src=-torch.ones_like(rand_idx, dtype=rand_idx.dtype))
idx_buffer_view = idx_buffer_view.view(hsy, wsx, sy, sx).transpose(1, 2).reshape(hsy * sy, wsx * sx)
# Image is not divisible by sx or sy so we need to move it into a new buffer
if (hsy * sy) < h or (wsx * sx) < w:
idx_buffer = torch.zeros(h, w, device=metric.device, dtype=torch.int64)
idx_buffer[:(hsy * sy), :(wsx * sx)] = idx_buffer_view
else:
idx_buffer = idx_buffer_view
# We set dst tokens to be -1 and src to be 0, so an argsort gives us dst|src indices
rand_idx = idx_buffer.reshape(1, -1, 1).argsort(dim=1)
# We're finished with these
del idx_buffer, idx_buffer_view
# rand_idx is currently dst|src, so split them
num_dst = hsy * wsx
a_idx = rand_idx[:, num_dst:, :] # src
b_idx = rand_idx[:, :num_dst, :] # dst
def split(x):
C = x.shape[-1]
src = gather(x, dim=1, index=a_idx.expand(B, N - num_dst, C))
dst = gather(x, dim=1, index=b_idx.expand(B, num_dst, C))
return src, dst
# Cosine similarity between A and B
metric = metric / metric.norm(dim=-1, keepdim=True)
a, b = split(metric)
scores = a @ b.transpose(-1, -2)
# Can't reduce more than the # tokens in src
r = min(a.shape[1], r)
# Find the most similar greedily
node_max, node_idx = scores.max(dim=-1)
edge_idx = node_max.argsort(dim=-1, descending=True)[..., None]
unm_idx = edge_idx[..., r:, :] # Unmerged Tokens
src_idx = edge_idx[..., :r, :] # Merged Tokens
dst_idx = gather(node_idx[..., None], dim=-2, index=src_idx)
def merge(x: torch.Tensor, mode="mean") -> torch.Tensor:
src, dst = split(x)
n, t1, c = src.shape
unm = gather(src, dim=-2, index=unm_idx.expand(n, t1 - r, c))
src = gather(src, dim=-2, index=src_idx.expand(n, r, c))
dst = dst.scatter_reduce(-2, dst_idx.expand(n, r, c), src, reduce=mode)
return torch.cat([unm, dst], dim=1)
def unmerge(x: torch.Tensor) -> torch.Tensor:
unm_len = unm_idx.shape[1]
unm, dst = x[..., :unm_len, :], x[..., unm_len:, :]
_, _, c = unm.shape
src = gather(dst, dim=-2, index=dst_idx.expand(B, r, c))
# Combine back to the original shape
out = torch.zeros(B, N, c, device=x.device, dtype=x.dtype)
out.scatter_(dim=-2, index=b_idx.expand(B, num_dst, c), src=dst)
out.scatter_(dim=-2, index=gather(a_idx.expand(B, a_idx.shape[1], 1), dim=1, index=unm_idx).expand(B, unm_len, c), src=unm)
out.scatter_(dim=-2, index=gather(a_idx.expand(B, a_idx.shape[1], 1), dim=1, index=src_idx).expand(B, r, c), src=src)
return out
return merge, unmerge
|