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365 lines (294 loc) · 12.7 KB
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import torch
import numpy as np
import torch.nn.functional as F
from collections import OrderedDict
try:
FP8_E4M3 = getattr(torch, "float8_e4m3fn", None)
FP8_E5M2 = getattr(torch, "float8_e5m2", None)
FP8_DTYPES = tuple(d for d in (FP8_E4M3, FP8_E5M2) if d is not None)
except Exception:
FP8_E4M3 = FP8_E5M2 = None
FP8_DTYPES = ()
def _common_dtype(a: torch.Tensor, b: torch.Tensor, c: torch.Tensor):
dt = torch.promote_types(torch.promote_types(a.dtype, b.dtype), c.dtype)
if dt in FP8_DTYPES:
dt = torch.float16
return dt
def trim_delta(delta: torch.Tensor, percentile: float = 0.5) -> torch.Tensor:
if delta.dim() == 4 and min(delta.shape[-2:]) > 2:
blurred = F.avg_pool2d(delta, kernel_size=3, stride=1, padding=1)
delta = delta * (1 - percentile) + blurred * percentile
return delta
def weight_max(theta0, theta1, *args):
return torch.maximum(theta0, theta1)
def geometric(theta0, theta1, alpha):
return torch.pow(theta0, 1 - alpha) * torch.pow(theta1, alpha)
def sigmoid(theta0, theta1, alpha):
a = float(alpha)
s1 = 1.0 / (1.0 + np.exp(-4.0 * a))
s0 = 1.0 / (1.0 + np.exp(-1.0 * a))
return (s1 * (theta0 + theta1) - s0 * theta0)
def weighted_sum(theta0, theta1, alpha):
if theta1.dtype != theta0.dtype: theta1 = theta1.to(theta0.dtype)
return torch.lerp(theta0, theta1, float(alpha))
@torch.inference_mode()
def sum_twice(theta0, theta1, theta2, alpha, beta):
dt = _common_dtype(theta0, theta1, theta2)
if theta0.dtype != dt: theta0 = theta0.to(dt)
if theta1.dtype != dt: theta1 = theta1.to(dt)
if theta2.dtype != dt: theta2 = theta2.to(dt)
out = torch.empty_like(theta0)
torch.lerp(theta0, theta1, float(alpha), out=out) # out = lerp(a,b,alpha)
torch.lerp(out, theta2, float(beta), out=out) # out = lerp(out,c,beta)
return out
@torch.inference_mode()
def triple_sum(theta0, theta1, theta2, alpha, beta):
dt = _common_dtype(theta0, theta1, theta2)
if theta0.dtype != dt: theta0 = theta0.to(dt)
if theta1.dtype != dt: theta1 = theta1.to(dt)
if theta2.dtype != dt: theta2 = theta2.to(dt)
a = float(alpha); b = float(beta)
c0 = 1.0 - a - b
out = torch.empty_like(theta0)
torch.mul(theta0, c0, out=out) # out = (1-a-b)*theta0
out.add_(theta1, alpha=a) # out += a*theta1
out.add_(theta2, alpha=b) # out += b*theta2
return out
def get_difference(theta1, theta2):
return theta1 - theta2
def add_difference(theta0, theta1_2_diff, alpha):
return theta0 + (alpha * theta1_2_diff)
def multiply_difference(theta0, theta1, theta2, alpha, beta):
a = theta0.float()
b = theta1.float()
c = theta2.float() if theta2.dtype != torch.float32 else theta2
# diff = |a-c|^(1-a) * |b-c|^a
da = (a - c).abs()
db = (b - c).abs()
diff = da.pow(1.0 - float(alpha)).mul_(db.pow(float(alpha)))
# sign = ((1-beta)*theta0 + beta*theta1) - theta2
sign = torch.lerp(theta0, theta1, float(beta)).float().sub_(c)
out = c + torch.where(sign >= 0, diff, -diff)
return out.to(theta2.dtype)
_SIM_SCRATCH = OrderedDict()
_SIM_MAX_SCRATCH = 64
def _sim_buf(device, dtype, shape):
key = (str(device), dtype, tuple(shape))
buf = _SIM_SCRATCH.get(key)
if buf is not None:
_SIM_SCRATCH.move_to_end(key)
return buf
thr = torch.empty(shape, device=device, dtype=dtype)
sim = torch.empty(shape, device=device, dtype=dtype)
out = torch.empty(shape, device=device, dtype=dtype)
_SIM_SCRATCH[key] = (thr, sim, out)
if len(_SIM_SCRATCH) > _SIM_MAX_SCRATCH:
_SIM_SCRATCH.popitem(last=False)
return thr, sim, out
def _match_mean_std_like_a(out, a, eps=1e-6):
a32 = a if a.dtype == torch.float32 else a.detach().float()
o32 = out if out.dtype == torch.float32 else out.detach().float()
varA, meanA = torch.var_mean(a32, unbiased=False)
varO, meanO = torch.var_mean(o32, unbiased=False)
stdA = varA.sqrt()
stdO = varO.sqrt()
if stdO < eps:
return out
mean_mix = 0.5 * (meanO + meanA)
std_mix = 0.5 * (stdO + stdA)
o32 = (o32 - meanO) / stdO * std_mix + mean_mix
return o32.to(out.dtype)
@torch.inference_mode()
def similarity_add_difference(a, b, c, alpha, beta):
a_orig_dtype = a.dtype
dev = a.device
if b.device != dev: b = b.to(dev)
if c.device != dev: c = c.to(dev)
dt = _common_dtype(a, b, c)
if a.dtype != dt: a = a.to(dt)
if b.dtype != dt: b = b.to(dt)
if c.dtype != dt: c = c.to(dt)
a2 = float(alpha) * 0.5
b2 = float(beta) * 0.5
thr, sim, out = _sim_buf(a.device, a.dtype, a.shape)
# thr = max(|a|,|b|)^2
torch.abs(a, out=thr)
torch.abs(b, out=sim)
torch.maximum(thr, sim, out=thr)
thr.mul_(thr)
# sim = ((a*b)/thr + 1) * beta/2
torch.mul(a, b, out=sim)
sim.div_(thr)
sim.add_(1.0).mul_(b2)
torch.nan_to_num_(sim, nan=float(beta))
# out = a + alpha*(b-c)
torch.sub(b, c, out=out)
out.mul_(float(alpha)).add_(a)
# thr = a*(1-a/2) + b*(a/2)
torch.mul(a, (1.0 - a2), out=thr)
thr.add_(b, alpha=a2)
# out = lerp(out, thr, sim)
torch.lerp(out, thr, sim, out=out)
out = _match_mean_std_like_a(out, a)
return out.to(dtype=a_orig_dtype)
def _rand_like_compat(ref: torch.Tensor, *, dtype=torch.float32, generator=None) -> torch.Tensor:
if generator is None:
return torch.rand(ref.shape, device=ref.device, dtype=dtype)
return torch.rand(ref.shape, device=ref.device, dtype=dtype, generator=generator)
def dare_merge(theta0, theta1, alpha, beta, generator=None):
# match the shapes by padding with zeros
if theta0.dim() in (1, 2):
if theta0.dim() == 1:
d = theta1.shape[0] - theta0.shape[0]
if d > 0:
theta0 = F.pad(theta0, (0, d))
elif d < 0:
theta1 = F.pad(theta1, (0, -d))
else: # dim == 2
dw = theta1.shape[-1] - theta0.shape[-1]
if dw > 0:
theta0 = F.pad(theta0, (0, dw, 0, 0))
elif dw < 0:
theta1 = F.pad(theta1, (0, -dw, 0, 0))
dh = theta1.shape[0] - theta0.shape[0]
if dh > 0:
theta0 = F.pad(theta0, (0, 0, 0, dh))
elif dh < 0:
theta1 = F.pad(theta1, (0, 0, 0, -dh))
a = float(alpha)
b = float(beta)
denom = max(1.0 - b, 1e-6)
delta = theta1 - theta0
mask = _rand_like_compat(delta, dtype=torch.float32, generator=generator) < b
scaled = (delta / denom)
scaled = scaled * mask.to(delta.dtype)
return torch.add(theta0, scaled.to(theta0.dtype), alpha=a)
def feature_weighted_merge(a, b, alpha=0.3, eps=1e-6):
if a.shape != b.shape or alpha == 0.0:
return a
a32 = a.detach().float()
b32 = b.detach().float()
delta = trim_delta(b32 - a32, percentile=0.5)
if delta.dim() == 4 and min(delta.shape[-2], delta.shape[-1]) >= 3:
delta = F.avg_pool2d(delta, kernel_size=3, stride=1, padding=1)
stdA = a32.std()
stdB = b32.std()
stdDelta = delta.std()
if min(stdA, stdB, stdDelta) < eps:
return ((1 - alpha) * a32 + alpha * b32).to(a.dtype)
r = (stdB / (stdA + eps)).clamp(0.5, 2.0)
gamma = 1.0 - 0.5 * (r - 1.0)
scale = (stdA / (stdDelta + eps)).pow(gamma).clamp(0.5, 1.5)
tone_corr = (stdA / (stdB + eps)).sqrt().clamp(0.8, 1.1)
merged = a32 + delta * float(alpha) * scale * tone_corr
meanA = a32.mean()
stdMerged = merged.std()
if stdMerged > eps:
meanMerged = merged.mean()
mean_mix = 0.5 * (meanMerged + meanA)
std_mix = 0.5 * (stdMerged + stdA)
merged = (merged - meanMerged) / stdMerged * std_mix + mean_mix
return merged.to(a.dtype)
def ortho_merge(a, b, alpha):
a32 = a.detach().float().view(-1)
d32 = (b.detach().float() - a.detach().float()).view(-1)
proj = (torch.dot(d32, a32) / (a32.norm()**2 + 1e-12)) * a32
d_ortho = (d32 - proj).view_as(a)
return (a + alpha * d_ortho.to(a.dtype)).to(a.dtype)
def sparse_topk(a, b, alpha, beta):
# alpha: mix strength
# beta : fraction of elements to take (Top-k)
diff = (b - a)
d = diff.detach().float().abs().view(-1)
n = d.numel()
if n == 0:
return a
# k = number of elements to replace
k = int(n * float(beta))
if k <= 0:
return a
if k >= n:
# replace all (alpha controls full replace)
return (a + float(alpha) * diff).to(a.dtype)
# kthvalue is 1-indexed: threshold for top-k largest == (n-k+1)-th smallest
kth = n - k + 1
thresh = d.kthvalue(kth).values
mask = d.view_as(diff).ge_(thresh).to(diff.dtype)
out = a + float(alpha) * diff * mask
return out.to(a.dtype)
def norm_dir_blend(a, b, alpha):
a32 = a.detach().float().view(-1); b32 = b.detach().float().view(-1)
an = a32.norm() + 1e-12; bn = b32.norm() + 1e-12
au = a32 / an; bu = b32 / bn
du = F.normalize((1 - alpha) * au + alpha * bu, dim=0)
mag = (1 - alpha) * an + alpha * bn
out = (du * mag).view_as(a)
return out.to(a.dtype)
def channel_cosine_gate(a, b, alpha, beta, eps=1e-12):
if a.dim() == 4:
axis = (1, 2, 3) # per-out-channel
elif a.dim() == 2:
axis = (1,) # per-out-feature
else:
return (1 - float(alpha)) * a + float(alpha) * b
a32 = a.detach().float()
b32 = b.detach().float()
num = (a32 * b32).sum(dim=axis)
den = (
torch.linalg.vector_norm(a32, ord=2, dim=axis) *
torch.linalg.vector_norm(b32, ord=2, dim=axis) + eps
)
cos = (num / den).clamp_(-1.0, 1.0)
g = ((1.0 - cos) * float(beta)).clamp_(0.0, 1.0)
while g.dim() < a.dim():
g = g.unsqueeze(-1)
mix = (1.0 - float(alpha)) * a + float(alpha) * b
return (a * (1.0 - g) + mix * g).to(a.dtype)
def freq_band_blend(a, b, alpha, beta):
if a.dim() != 4 or a.shape[-1] < 3 or a.shape[-2] < 3:
return (1 - alpha) * a + alpha * b
a32 = a.detach().float(); b32 = b.detach().float()
A = torch.fft.rfft2(a32, norm="ortho")
B = torch.fft.rfft2(b32, norm="ortho")
H, W = a32.shape[-2], a32.shape[-1]
cut = max(int(min(H, W) * float(beta)), 1)
yy = torch.arange(A.shape[-2], device=a.device).view(-1,1).float()
xx = torch.arange(A.shape[-1], device=a.device).view(1,-1).float()
cy = (A.shape[-2]-1)/2; cx = (A.shape[-1]-1)/2
dist = torch.sqrt((yy-cy)**2 + (xx-cx)**2)
low = (dist <= cut).to(A.dtype)
high = 1 - low
F = low * A + high * ((1 - float(alpha)) * A + float(alpha) * B)
out = torch.fft.irfft2(F, s=(H, W), norm="ortho")
return out.to(a.dtype)
# Mode name assignment
theta_funcs = {
"WS": (None, weighted_sum, "Weighted Sum"),
"AD": (get_difference, add_difference, "Add Difference"),
"RM": (None, None, "Read Metedata"),
"sAD": (get_difference, add_difference, "Smooth Add Difference"),
"MD": (None, multiply_difference, "Multiply Difference"),
"SIM": (None, similarity_add_difference, "Similarity Add Difference"),
"TD": (None, add_difference, "Training Difference"),
"TS": (None, weighted_sum, "Tensor Sum"),
"TRS": (None, triple_sum, "Triple Sum"),
"ST": (None, sum_twice, "Sum Twice"),
"NoIn": (None, None, "No Interpolation"),
"SIG": (None, sigmoid, "Sigmoid"),
"GEO": (None, geometric, "Geometric"),
"MAX": (None, weight_max, "Max"),
"DARE": (None, dare_merge, "DARE"),
"XDARE":(None, dare_merge, "CLIP XOR DARE"),
"ORTHO":(None, ortho_merge, "Orthogonalized Delta"),
"SPRSE":(None, sparse_topk, "Sparse Top-k Delta"),
"NORM": (None, norm_dir_blend, "Norm/Direction Split"),
"CHAN": (None, channel_cosine_gate, "Channel-wise Cosine Gate"),
"FREQ": (None, freq_band_blend, "Frequency-Band Blend"),
"SWAP": (None, None, "Swap Components"),
"COMP": (None, None, "Save Components (model0 only)"),
"CLIPXOR": (None, None, "CLIP XOR (union-minus-intersection)"),
"FWM": (None, feature_weighted_merge, "Feature Weighted Merge"),
"TF": (None, None, "Trim and Fill"),
}
modes_need_m2 = {"sAD", "AD", "TRS", "ST", "TD", "SIM", "MD", "HUB"}
modes_need_beta = {"TRS", "ST", "TS", "SIM", "MD", "DARE", "XDARE", "CHAN", "FREQ", "SPRSE"}