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State representation module inspired by CUT3R.
Maintains persistent state across time steps for multi-body dynamics.
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
from typing import Optional, Tuple
import math
class StateRepresentation(nn.Module):
"""
Persistent state representation for multi-body dynamics, following
CUT3R's state management:
- Register tokens stored in an nn.Embedding, as in CUT3R
- Tokens laid out on a 3D grid whose coordinates drive RoPE
- Rotary-only position encoding (no additive position embeddings)
"""
def __init__(
self,
num_tokens: int = 216, # 6x6x6 = 216 tokens on a 3D grid
token_dim: int = 768,
position_encoding: str = 'learnable_3d', # rope-only: use 3D grid positions
rope_dim: Optional[int] = None
):
super().__init__()
self.num_tokens = num_tokens
self.token_dim = token_dim
self.position_encoding = position_encoding
# Register tokens (no additive position embeddings; rope-only)
self.register_tokens = nn.Embedding(num_tokens, token_dim)
# Small random initialization, following CUT3R
nn.init.normal_(self.register_tokens.weight, mean=0., std=0.02)
# 3D grid positions for RoPE (rope-only)
if position_encoding != 'learnable_3d':
raise ValueError("StateRepresentation now supports only 'learnable_3d' (rope-only)")
if num_tokens == 216:
self.grid_3d = (6, 6, 6)
else:
self.grid_3d = self._compute_3d_grid(num_tokens)
# Layer normalization
self.norm = nn.LayerNorm(token_dim)
def _compute_3d_grid(self, n):
"""Compute 3D grid dimensions for n tokens."""
# Try to make roughly cubic
cube_root = int(round(n ** (1/3)))
for x in range(cube_root, 0, -1):
if n % x == 0:
remaining = n // x
sqrt_rem = int(round(remaining ** 0.5))
for y in range(sqrt_rem, 0, -1):
if remaining % y == 0:
z = remaining // y
return (x, y, z)
return (n, 1, 1)
def get_state_and_positions(self, batch_size: int, device: torch.device) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Get initial state tokens and 3D grid positions for RoPE (rope-only).
Returns:
state_tokens: (B, num_tokens, token_dim)
positions: (B, num_tokens, 3) in [-1, 1]
"""
# Get state tokens using embedding
indices = torch.arange(self.num_tokens, dtype=torch.long, device=device)
state_tokens = self.register_tokens(indices) # (num_tokens, token_dim)
state_tokens = state_tokens.unsqueeze(0).expand(batch_size, -1, -1)
# Normalize tokens
state_tokens = self.norm(state_tokens)
# Build 3D grid positions normalized to [-1, 1]
gx, gy, gz = self.grid_3d
xs = torch.linspace(-1, 1, steps=gx, device=device, dtype=state_tokens.dtype)
ys = torch.linspace(-1, 1, steps=gy, device=device, dtype=state_tokens.dtype)
zs = torch.linspace(-1, 1, steps=gz, device=device, dtype=state_tokens.dtype)
grid = torch.stack(torch.meshgrid(xs, ys, zs, indexing='ij'), dim=-1).view(-1, 3) # (num_tokens,3)
if grid.shape[0] != self.num_tokens:
# Tile or truncate to match the token count
if grid.shape[0] < self.num_tokens:
reps = (self.num_tokens + grid.shape[0] - 1) // grid.shape[0]
grid = grid.repeat(reps, 1)[:self.num_tokens]
else:
grid = grid[:self.num_tokens]
positions = grid.unsqueeze(0).expand(batch_size, -1, -1) # (B,N,3)
return state_tokens, positions
def get_initial_state(self, batch_size: int) -> torch.Tensor:
"""
Return the initial state tokens only (grid positions discarded).
"""
device = self.register_tokens.weight.device
state, _ = self.get_state_and_positions(batch_size, device)
return state
def forward(self, state: Optional[torch.Tensor] = None,
batch_size: Optional[int] = None) -> torch.Tensor:
"""
Get state representation (rope-only).
Args:
state: Current state if available (B, num_tokens, token_dim)
batch_size: Batch size if state is None
Returns:
State tokens (normalized)
"""
if state is None:
if batch_size is None:
raise ValueError("Either state or batch_size must be provided")
return self.get_initial_state(batch_size)
# Normalize existing state
state = self.norm(state)
return state
class StateUpdateModule(nn.Module):
"""
Module for updating state based on new observations.
Implements the State-Update mechanism from CUT3R.
"""
def __init__(
self,
state_dim: int = 512,
observation_dim: int = 512,
num_heads: int = 8,
dropout: float = 0.1
):
super().__init__()
self.state_dim = state_dim
self.observation_dim = observation_dim
# Project observations to state dimension if needed
if observation_dim != state_dim:
self.obs_projection = nn.Linear(observation_dim, state_dim)
else:
self.obs_projection = nn.Identity()
# Multi-head attention for state update
self.cross_attention = nn.MultiheadAttention(
embed_dim=state_dim,
num_heads=num_heads,
dropout=dropout,
batch_first=True
)
# Gating mechanism for state update
self.gate = nn.Sequential(
nn.Linear(state_dim * 2, state_dim),
nn.Sigmoid()
)
# Feedforward network
self.ffn = nn.Sequential(
nn.Linear(state_dim, state_dim * 4),
nn.GELU(),
nn.Dropout(dropout),
nn.Linear(state_dim * 4, state_dim)
)
# Layer normalization
self.norm1 = nn.LayerNorm(state_dim)
self.norm2 = nn.LayerNorm(state_dim)
def forward(
self,
state: torch.Tensor,
observation: torch.Tensor
) -> torch.Tensor:
"""
Update state based on new observation.
Args:
state: Current state (B, num_tokens, state_dim)
observation: New observation features (B, obs_len, obs_dim)
Returns:
Updated state (B, num_tokens, state_dim)
"""
# Project observation to state dimension
obs_proj = self.obs_projection(observation)
# Cross-attention: state attends to observation
attn_output, _ = self.cross_attention(
query=state,
key=obs_proj,
value=obs_proj
)
# Gated update mechanism
gate_input = torch.cat([state, attn_output], dim=-1)
gate = self.gate(gate_input)
# Apply gated update
state = state + gate * self.norm1(attn_output)
# Feedforward network with residual connection
state = state + self.ffn(self.norm2(state))
return state
class StateReadoutModule(nn.Module):
"""
Module for reading information from state.
Implements the State-Readout mechanism from CUT3R.
"""
def __init__(
self,
state_dim: int = 512,
query_dim: int = 512,
output_dim: int = 512,
num_heads: int = 8,
dropout: float = 0.1
):
super().__init__()
self.state_dim = state_dim
self.query_dim = query_dim
self.output_dim = output_dim
# Project query to state dimension if needed
if query_dim != state_dim:
self.query_projection = nn.Linear(query_dim, state_dim)
else:
self.query_projection = nn.Identity()
# Multi-head attention for state readout
self.cross_attention = nn.MultiheadAttention(
embed_dim=state_dim,
num_heads=num_heads,
dropout=dropout,
batch_first=True
)
# Output projection
self.output_projection = nn.Sequential(
nn.Linear(state_dim, output_dim),
nn.LayerNorm(output_dim)
)
# Feedforward network
self.ffn = nn.Sequential(
nn.Linear(state_dim, state_dim * 4),
nn.GELU(),
nn.Dropout(dropout),
nn.Linear(state_dim * 4, state_dim)
)
# Layer normalization
self.norm1 = nn.LayerNorm(state_dim)
self.norm2 = nn.LayerNorm(state_dim)
def forward(
self,
state: torch.Tensor,
query: torch.Tensor
) -> torch.Tensor:
"""
Read information from state based on query.
Args:
state: Current state (B, num_tokens, state_dim)
query: Query features (B, query_len, query_dim)
Returns:
Readout features (B, query_len, output_dim)
"""
# Project query to state dimension
query_proj = self.query_projection(query)
# Cross-attention: query attends to state
attn_output, attention_weights = self.cross_attention(
query=query_proj,
key=state,
value=state
)
# Residual connection and normalization
readout = query_proj + self.norm1(attn_output)
# Feedforward network with residual connection
readout = readout + self.ffn(self.norm2(readout))
# Project to output dimension
output = self.output_projection(readout)
return output
class PersistentStateManager(nn.Module):
"""
Complete state management system combining initialization,
update, and readout mechanisms.
"""
def __init__(
self,
num_tokens: int = 256,
token_dim: int = 512,
observation_dim: int = 512,
output_dim: int = 512,
num_heads: int = 8,
dropout: float = 0.1,
learnable_init: bool = True
):
super().__init__()
# State representation
self.state_repr = StateRepresentation(
num_tokens=num_tokens,
token_dim=token_dim
)
# State update module
self.state_update = StateUpdateModule(
state_dim=token_dim,
observation_dim=observation_dim,
num_heads=num_heads,
dropout=dropout
)
# State readout module
self.state_readout = StateReadoutModule(
state_dim=token_dim,
query_dim=observation_dim,
output_dim=output_dim,
num_heads=num_heads,
dropout=dropout
)
# Current state storage (for sequential processing)
self.register_buffer('current_state', None)
def reset_state(self, batch_size: int):
"""Reset state to initial values."""
self.current_state = self.state_repr.get_initial_state(batch_size)
def forward(
self,
observation: torch.Tensor,
query: Optional[torch.Tensor] = None,
state: Optional[torch.Tensor] = None,
return_updated_state: bool = True
) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Process observation and update/read from state.
Args:
observation: New observation features (B, obs_len, obs_dim)
query: Query for readout (B, query_len, obs_dim).
If None, use observation as query.
state: External state if provided. If None, use internal state.
return_updated_state: Whether to return the updated state
Returns:
readout: Features read from state (B, query_len, output_dim)
updated_state: Updated state if return_updated_state=True
"""
batch_size = observation.shape[0]
# Get current state
if state is not None:
current_state = state
elif self.current_state is not None:
current_state = self.current_state
else:
current_state = self.state_repr.get_initial_state(batch_size)
# Update state with new observation
updated_state = self.state_update(current_state, observation)
# Store updated state internally
self.current_state = updated_state
# Read from updated state
if query is None:
query = observation
readout = self.state_readout(updated_state, query)
if return_updated_state:
return readout, updated_state
else:
return readout
if __name__ == "__main__":
"""Test the state management modules."""
print("Testing StateRepresentation...")
state_repr = StateRepresentation(num_tokens=256, token_dim=512)
initial_state = state_repr.get_initial_state(batch_size=4)
print(f"Initial state shape: {initial_state.shape}") # (4, 256, 512)
print("\nTesting StateUpdateModule...")
state_update = StateUpdateModule(state_dim=512, observation_dim=256)
observation = torch.randn(4, 10, 256) # 10 observation tokens
updated_state = state_update(initial_state, observation)
print(f"Updated state shape: {updated_state.shape}") # (4, 256, 512)
print("\nTesting StateReadoutModule...")
state_readout = StateReadoutModule(state_dim=512, query_dim=256, output_dim=512)
query = torch.randn(4, 5, 256) # 5 query tokens
readout = state_readout(updated_state, query)
print(f"Readout shape: {readout.shape}") # (4, 5, 512)
print("\nTesting PersistentStateManager...")
manager = PersistentStateManager(
num_tokens=256,
token_dim=512,
observation_dim=256,
output_dim=512
)
# Process sequence
for t in range(3):
obs = torch.randn(4, 10, 256)
readout, state = manager(obs, return_updated_state=True)
print(f"Time {t}: Readout shape {readout.shape}, State shape {state.shape}")
print("\nState management test successful!")
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