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from __future__ import annotations
import torch
from .surgery import round_to_multiple
VIDEO, AUDIO, TEXT = 0, 1, 2
MODALITY_FUSE_MODES = (
"fixed133",
"fixed211",
"fixed311",
"fixed511",
"fixed3011",
"equal",
"pooled",
"invfreq",
"invsqrt",
"invlog",
# rank<位V位A位T>: per-modality percentile-rank normalisation instead of z-score.
# z-score on a heavy-tailed projection table is dominated by a few extreme neurons
# (kurtosis 1e2..1e3), so 位 only reorders near-zero neurons; ranks spread the bulk.
"rank111",
"rank133",
"rank211",
"rank311",
"rank511",
"rank3011",
)
DEFAULT_MODALITY_FUSE = "fixed311"
DEFAULT_MODALITY_LAMBDAS = (3.0, 1.0, 1.0)
_FIXED_LAMBDAS = {
"111": (1.0, 1.0, 1.0),
"133": (1.0, 3.0, 3.0),
"211": (2.0, 1.0, 1.0),
"311": (3.0, 1.0, 1.0),
"511": (5.0, 1.0, 1.0),
"3011": (30.0, 1.0, 1.0),
}
# No per-modality z-score: 位 is applied to the raw SUM table C_m (paper Eq. modality-contribution).
# pooled = 位=(1,1,1) on sums, so video token count dominates.
# invfreq / invsqrt / invlog set 位_m from routed N_m so the fusion ratio is not 1:1:1.
NO_ZSCORE_FUSE_MODES = frozenset({"pooled", "sum", "nozscore", "invfreq", "invsqrt", "invlog"})
POOLED_FUSE_MODES = NO_ZSCORE_FUSE_MODES
FUSE_NORMS = ("z", "sum", "rank")
def fuse_norm(mode: str) -> str:
"""Per-modality normalisation for a fuse mode: 'z' (default), 'sum' (none) or 'rank'."""
key = str(mode).strip().lower()
if key in NO_ZSCORE_FUSE_MODES:
return "sum"
if key.startswith("rank"):
return "rank"
return "z"
def fuse_zscore(mode: str) -> bool:
"""False for count-weighted SUM fusion (no per-modality z-score)."""
return fuse_norm(mode) == "z"
def rank_normalize(row: torch.Tensor) -> torch.Tensor:
"""Centered percentile rank in [-0.5, 0.5]; ties broken by index, scale-free."""
d = int(row.numel())
if d < 2:
return torch.zeros_like(row, dtype=torch.float32)
order = torch.argsort(row.float(), stable=True)
ranks = torch.empty(d, dtype=torch.float32, device=row.device)
ranks[order] = torch.arange(d, dtype=torch.float32, device=row.device)
return ranks / float(d - 1) - 0.5
def _token_count_vector(
n_tokens_mod: torch.Tensor | list[int] | tuple[int, ...] | None,
mode: str,
) -> torch.Tensor:
if n_tokens_mod is None:
raise ValueError(f"{mode} fuse requires n_tokens_mod")
n = torch.as_tensor(n_tokens_mod, dtype=torch.float64).reshape(-1)
if int(n.numel()) < 3:
raise ValueError(f"{mode} fuse expected 3 modality counts, got {tuple(n.shape)}")
return n[:3].clamp_min(1.0)
def modality_lambdas(
n_tokens_mod: torch.Tensor | list[int] | tuple[int, ...] | None,
mode: str = DEFAULT_MODALITY_FUSE,
) -> tuple[float, float, float]:
key = str(mode).strip().lower()
if key in ("pooled", "sum", "nozscore"):
return (1.0, 1.0, 1.0)
if key in ("invfreq", "invsqrt", "invlog"):
n = _token_count_vector(n_tokens_mod, key)
if key == "invfreq":
w = 1.0 / n
elif key == "invsqrt":
w = 1.0 / n.sqrt()
else:
w = 1.0 / (1.0 + n).log()
return tuple(float(x) for x in w.tolist())
if key not in MODALITY_FUSE_MODES:
raise ValueError(f"unknown modality fuse {mode!r}; expected one of {MODALITY_FUSE_MODES}")
if key == "equal":
return (1.0, 1.0, 1.0)
for prefix in ("fixed", "rank"):
if key.startswith(prefix) and key[len(prefix):] in _FIXED_LAMBDAS:
return _FIXED_LAMBDAS[key[len(prefix):]]
return DEFAULT_MODALITY_LAMBDAS
def fuse_modality_scores(
table: torch.Tensor,
lambdas: tuple[float, float, float] = DEFAULT_MODALITY_LAMBDAS,
eps: float = 1e-6,
zscore: bool = True,
norm: str | None = None,
) -> torch.Tensor:
"""table: [3, d_int] for V/A/T. Empty modalities are skipped, not imputed.
`norm` overrides `zscore`: 'z' (z-score), 'sum' (raw), 'rank' (centered percentile rank).
"""
if table.ndim != 2 or table.shape[0] != 3:
raise ValueError(f"table must be [3, d_int], got {tuple(table.shape)}")
if norm is None:
norm = "z" if zscore else "sum"
if norm not in FUSE_NORMS:
raise ValueError(f"unknown norm {norm!r}; expected one of {FUSE_NORMS}")
parts = []
for modality, weight in enumerate(lambdas):
row = table[modality].float()
if float(row.abs().sum()) == 0:
continue
if norm == "z":
mu = row.mean()
sigma = row.std(unbiased=False).clamp_min(eps)
parts.append(weight * (row - mu) / sigma)
elif norm == "rank":
parts.append(weight * rank_normalize(row))
else:
parts.append(weight * row)
if not parts:
raise ValueError("no routed tokens in any modality")
return sum(parts)
def keep_indices(score: torch.Tensor, p_mid: float, multiple: int = 4) -> torch.Tensor:
d_int = score.numel()
n_keep = max(multiple, round_to_multiple(int((1.0 - p_mid) * d_int), multiple))
n_keep = min(n_keep, d_int)
_, idx = torch.topk(score, n_keep)
idx, _ = torch.sort(idx)
return idx
def random_keep_indices(
d_int: int,
p_mid: float,
generator: torch.Generator | None = None,
multiple: int = 4,
) -> torch.Tensor:
n_keep = max(multiple, round_to_multiple(int((1.0 - p_mid) * d_int), multiple))
n_keep = min(n_keep, d_int)
idx = torch.randperm(d_int, generator=generator)[:n_keep]
idx, _ = torch.sort(idx)
return idx
def fuse_global_modality_scores(
table: torch.Tensor,
lambdas: tuple[float, float, float] = DEFAULT_MODALITY_LAMBDAS,
dead_mask: torch.Tensor | None = None,
magnitude: torch.Tensor | None = None,
eps: float = 1e-6,
zscore: bool = True,
) -> torch.Tensor:
"""table: [n_mlp, 3, d_int]. Z-score each modality over live MLPs, then fuse."""
if table.ndim != 3 or table.shape[1] != 3:
raise ValueError(f"table must be [n_mlp, 3, d_int], got {tuple(table.shape)}")
n_mlp, _, d_int = table.shape
live = (
torch.ones(n_mlp, dtype=torch.bool, device=table.device)
if dead_mask is None
else ~dead_mask.bool()
)
score = torch.zeros(n_mlp, d_int, device=table.device, dtype=torch.float32)
parts = 0
for modality, weight in enumerate(lambdas):
row = table[:, modality].float()
vals = row[live]
if vals.numel() == 0 or float(vals.abs().sum()) == 0:
continue
if zscore:
mu = vals.mean()
sigma = vals.std(unbiased=False).clamp_min(eps)
z = (row - mu) / sigma
else:
z = row
z[~live] = 0
score = score + weight * z
parts += 1
if parts == 0 and (dead_mask is None or not bool(dead_mask.all())):
raise ValueError("no routed tokens in any modality")
if dead_mask is not None and bool(dead_mask.any()):
dead = dead_mask.bool()
tie = torch.zeros(n_mlp, d_int, device=table.device, dtype=torch.float32)
if magnitude is not None:
mag = magnitude.float()
live_mag = mag[dead]
sigma = live_mag.std(unbiased=False).clamp_min(eps)
tie[dead] = (mag[dead] - live_mag.mean()) / sigma
score[dead] = -1e6 + 1e-3 * tie[dead]
return score
def allocate_global_keeps(
score: torch.Tensor,
p_mid: float,
multiple: int = 4,
min_keep: int = 4,
) -> list[torch.Tensor]:
"""Global top-(1-p_mid) over all MLPs, then round each MLP's keep to `multiple`."""
if score.ndim != 2:
raise ValueError(f"score must be [n_mlp, d_int], got {tuple(score.shape)}")
n_mlp, d_int = score.shape
min_keep = min(max(multiple, min_keep), d_int)
n_keep = max(
n_mlp * min_keep,
round_to_multiple(int((1.0 - p_mid) * n_mlp * d_int), multiple),
)
n_keep = min(n_keep, n_mlp * d_int)
selected = torch.zeros(n_mlp, d_int, dtype=torch.bool, device=score.device)
_, top = torch.topk(score.reshape(-1), n_keep)
selected.view(-1)[top] = True
keeps = []
for i in range(n_mlp):
idx = selected[i].nonzero(as_tuple=False).reshape(-1)
n = int(idx.numel())
n_target = min(d_int, max(min_keep, round_to_multiple(n if n else min_keep, multiple)))
if n_target == n:
keep = idx
elif n_target < n:
_, order = torch.topk(score[i, idx], n_target)
keep = idx[order]
else:
extra = n_target - n
masked = score[i].clone()
if n:
masked[idx] = -float("inf")
_, add = torch.topk(masked, extra)
keep = torch.cat([idx, add]) if n else add
keep, _ = torch.sort(keep)
keeps.append(keep)
return keeps
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