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The V-JEPA2 caller concatenates the sampled dense matrices from every selected
layer along the token axis. This module splits that transport tensor back into
its layer-local matrices, evaluates one frozen-reference MMD per layer, applies
detached scalar self-normalization independently, and sums the results.
Keeping the objectives separate is important: concatenating layer features
inside one kernel would change both the bandwidth and the teacher reference
distribution instead of giving each layer equal normalized influence.
"""
from __future__ import annotations
import math
from collections.abc import Mapping, Sequence
from typing import Any
import torch
from torch import nn
from losses.video_nystrom_mmd import VideoNystromMMD
class MultiLayerVideoNystromMMD(nn.Module):
"""Sum independent, optionally self-normalized per-layer video MMDs."""
def __init__(
self,
objectives: Mapping[int, VideoNystromMMD],
*,
self_normalize: bool = True,
norm_eps: float = 1.0e-4,
layer_weights: Mapping[int, float] | None = None,
) -> None:
super().__init__()
if not isinstance(objectives, Mapping) or not objectives:
raise ValueError("objectives must be a non-empty layer mapping")
ordered_layers = tuple(int(layer) for layer in objectives)
if len(set(ordered_layers)) != len(ordered_layers):
raise ValueError("objective layer indices must be unique")
if any(layer < 0 for layer in ordered_layers):
raise ValueError("objective layer indices must be non-negative")
if tuple(sorted(ordered_layers)) != ordered_layers:
raise ValueError("objective layer indices must be sorted")
if (
not math.isfinite(float(norm_eps))
or float(norm_eps) <= 0.0
):
raise ValueError("norm_eps must be finite and positive")
weights = (
{layer: 1.0 for layer in ordered_layers}
if layer_weights is None
else {int(layer): float(value)
for layer, value in layer_weights.items()}
)
if set(weights) != set(ordered_layers):
raise ValueError(
"layer_weights must contain exactly the objective layers")
if any(
not math.isfinite(value) or value < 0.0
for value in weights.values()
):
raise ValueError(
"layer weights must be finite and non-negative")
modules = {}
sample_shapes = []
for layer in ordered_layers:
objective = objectives[layer]
if not isinstance(objective, VideoNystromMMD):
raise TypeError(
"every layer objective must be VideoNystromMMD")
if any(
parameter.requires_grad
for parameter in objective.parameters()
):
raise ValueError(
"Nyström reference objectives must remain frozen")
modules[str(layer)] = objective
sample_shapes.append(objective.sample_shape)
feature_dims = {shape[1] for shape in sample_shapes}
if len(feature_dims) != 1:
raise ValueError(
"all layer objectives must share one feature dimension")
self.objectives = nn.ModuleDict(modules)
self.layer_indices = ordered_layers
self.layer_token_counts = tuple(
int(shape[0]) for shape in sample_shapes)
self.feature_dim = int(sample_shapes[0][1])
self.self_normalize = bool(self_normalize)
self.norm_eps = float(norm_eps)
self.layer_weights = tuple(
float(weights[layer]) for layer in ordered_layers)
ema_settings = {
(
objective.attraction_ema_enabled,
objective.attraction_ema_beta,
)
for objective in self.objectives.values()
}
if len(ema_settings) != 1:
raise ValueError(
"all layer objectives must use the same attraction EMA "
"enabled/beta setting")
(
self.attraction_ema_enabled,
self.attraction_ema_beta,
) = next(iter(ema_settings))
@property
def sample_shape(self) -> tuple[int, int]:
"""Shape of the concatenated GradCache transport matrix."""
return sum(self.layer_token_counts), self.feature_dim
@property
def landmarks(self) -> torch.Tensor:
"""Compatibility device/landmark-count view used by GradCache logs."""
return self.objectives[str(self.layer_indices[0])].landmarks
@property
def reference_hashes(self) -> tuple[str, ...]:
return tuple(
str(self.objectives[str(layer)].reference_hash)
for layer in self.layer_indices
)
@property
def reference_metadata(self) -> tuple[Mapping[str, Any], ...]:
return tuple(
self.objectives[str(layer)].reference_metadata
for layer in self.layer_indices
)
@property
def attraction_ema_pending(self) -> bool:
pending = tuple(
objective.attraction_ema_pending
for objective in self.objectives.values()
)
if pending and any(value != pending[0] for value in pending[1:]):
raise RuntimeError(
"per-layer attraction EMA pending state is inconsistent")
return bool(pending[0]) if pending else False
def split_features(
self,
generated: torch.Tensor,
) -> tuple[torch.Tensor, ...]:
if not isinstance(generated, torch.Tensor):
raise TypeError("generated must be a torch.Tensor")
if (
generated.ndim != 3
or min(generated.shape) <= 0
or not generated.is_floating_point()
):
raise ValueError(
"generated must be a non-empty floating [B,N,D] tensor")
if not bool(torch.isfinite(generated.detach()).all().item()):
raise FloatingPointError(
"generated contains non-finite values")
expected_tokens, expected_dim = self.sample_shape
actual_shape = (
int(generated.shape[1]), int(generated.shape[2]))
if actual_shape != (expected_tokens, expected_dim):
raise ValueError(
"concatenated multi-layer video matrix shape does not match "
f"the frozen references: {actual_shape} != "
f"{(expected_tokens, expected_dim)}")
return tuple(torch.split(
generated, self.layer_token_counts, dim=1))
def forward(
self,
generated: torch.Tensor,
*,
stage: bool = True,
) -> tuple[torch.Tensor, dict[str, Any]]:
layer_features = self.split_features(generated)
total = generated.new_zeros((), dtype=torch.float32)
raw_sum = total.clone()
repulsion_sum = total.clone()
attraction_sum = total.clone()
current_attraction_sum = total.clone()
reference_constant_sum = total.clone()
layer_metadata: dict[str, dict[str, torch.Tensor]] = {}
global_samples = None
ema_updates = None
attraction_current_coefficient = None
for layer, weight, features in zip(
self.layer_indices,
self.layer_weights,
layer_features,
):
objective = self.objectives[str(layer)]
raw_mmd, metadata = (
objective(features, stage=stage)
if self.attraction_ema_enabled
else objective(features)
)
if self.self_normalize:
# Nyström attraction is approximate, so its finite estimate
# can be slightly negative even though exact squared MMD is
# non-negative. Normalize by detached magnitude to avoid both
# a singularity near -eps and an accidental gradient reversal.
denominator = raw_mmd.detach().abs() + self.norm_eps
if (
not bool(torch.isfinite(denominator).item())
or float(denominator) == 0.0
):
raise FloatingPointError(
f"layer {layer} has an invalid MMD normalization "
"denominator")
normalized_mmd = raw_mmd / denominator
else:
normalized_mmd = raw_mmd
weighted_mmd = float(weight) * normalized_mmd
total = total + weighted_mmd
raw_sum = raw_sum + raw_mmd.detach()
repulsion_sum = repulsion_sum + metadata["repulsion"]
attraction_sum = attraction_sum + metadata["attraction"]
if self.attraction_ema_enabled:
current_attraction_sum = (
current_attraction_sum + metadata[
"current_attraction"])
reference_constant_sum = (
reference_constant_sum + metadata["reference_constant"])
observed_global_samples = int(metadata["global_samples"])
if global_samples is None:
global_samples = observed_global_samples
elif observed_global_samples != global_samples:
raise RuntimeError(
"per-layer MMD objectives disagree on global batch size")
if self.attraction_ema_enabled:
observed_updates = int(
metadata["attraction_ema_updates"])
if ema_updates is None:
ema_updates = observed_updates
elif observed_updates != ema_updates:
raise RuntimeError(
"per-layer attraction EMA update counts disagree")
observed_coefficient = float(
metadata["attraction_current_coefficient"])
if attraction_current_coefficient is None:
attraction_current_coefficient = observed_coefficient
elif observed_coefficient != attraction_current_coefficient:
raise RuntimeError(
"per-layer attraction EMA coefficients disagree")
layer_metadata[str(layer)] = {
**metadata,
"raw_mmd": raw_mmd.detach(),
"normalized_mmd": normalized_mmd.detach(),
"weighted_mmd": weighted_mmd.detach(),
"weight": raw_mmd.new_tensor(float(weight)),
}
if not bool(torch.isfinite(total.detach()).item()):
raise FloatingPointError(
"combined multi-layer MMD loss is non-finite")
combined_metadata = {
"layers": layer_metadata,
"layer_indices": torch.tensor(
self.layer_indices,
device=total.device,
dtype=torch.long,
),
"num_layers": total.new_tensor(
len(self.layer_indices), dtype=torch.long),
"self_normalized": total.new_tensor(
int(self.self_normalize), dtype=torch.long),
"normalization_epsilon": total.new_tensor(self.norm_eps),
"raw_mmd_sum": raw_sum.detach(),
"normalized_mmd_sum": total.detach(),
# Aggregated raw-kernel terms preserve the existing generic log
# contract. Per-layer diagnostics above are authoritative.
"repulsion": repulsion_sum.detach(),
"attraction": attraction_sum.detach(),
"reference_constant": reference_constant_sum.detach(),
"global_samples": total.new_tensor(
int(global_samples), dtype=torch.long),
}
if self.attraction_ema_enabled:
combined_metadata.update({
"current_attraction": current_attraction_sum.detach(),
"attraction_ema_enabled": total.new_ones(
(), dtype=torch.long),
"attraction_ema_updates": total.new_tensor(
int(ema_updates), dtype=torch.long),
"attraction_current_coefficient": total.new_tensor(
float(attraction_current_coefficient)),
})
return total, combined_metadata
def prepare_commit(self) -> None:
"""Validate every layer before publishing any EMA scalar."""
if not self.attraction_ema_enabled:
return
for objective in self.objectives.values():
objective.prepare_commit()
def commit(self) -> None:
"""Publish one attraction EMA update for every layer."""
if not self.attraction_ema_enabled:
return
if not self.attraction_ema_pending:
return
self.prepare_commit()
for objective in self.objectives.values():
objective.commit()
def discard(self) -> None:
for objective in self.objectives.values():
objective.discard()
def attraction_ema_state_dict(self) -> Mapping[str, Any] | None:
if not self.attraction_ema_enabled:
return None
if self.attraction_ema_pending:
raise RuntimeError(
"refusing to checkpoint pending per-layer attraction EMA")
return {
"version": 1,
"layers": list(self.layer_indices),
"states": {
str(layer): self.objectives[
str(layer)].attraction_ema_state_dict()
for layer in self.layer_indices
},
}
def validate_attraction_ema_state_dict(
self,
state: Mapping[str, Any],
) -> Mapping[str, Any]:
if not self.attraction_ema_enabled:
raise ValueError(
"cannot load attraction EMA state while the path is disabled")
if (
not isinstance(state, Mapping)
or set(state) != {"version", "layers", "states"}
or state.get("version") != 1
or tuple(state.get("layers", ())) != self.layer_indices
or not isinstance(state.get("states"), Mapping)
or set(state["states"])
!= {str(layer) for layer in self.layer_indices}
):
raise ValueError(
"multi-layer attraction EMA checkpoint schema mismatch")
# Validate every layer before the first live scalar is mutated.
validated = {}
for layer in self.layer_indices:
objective = self.objectives[str(layer)]
validated[str(layer)] = (
objective.validate_attraction_ema_state_dict(
state["states"][str(layer)])
)
update_counts = {
int(layer_state["updates"].item())
for layer_state in validated.values()
}
if len(update_counts) != 1:
raise ValueError(
"multi-layer attraction EMA update counts disagree")
return {
"version": 1,
"layers": list(self.layer_indices),
"states": validated,
}
def load_attraction_ema_state_dict(
self,
state: Mapping[str, Any],
) -> None:
validated = self.validate_attraction_ema_state_dict(state)
for layer in self.layer_indices:
self.objectives[str(layer)].load_attraction_ema_state_dict(
validated["states"][str(layer)])
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