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+"""
+Value network V_phi(h_l, t_l, s) -> scalar.
+Used by the Credit Bridge method.
+Input: [LN(h_l), time_embed(t_l), s] concatenated.
+"""
+import torch
+import torch.nn as nn
+import math
+import copy
+
+
+class SinusoidalTimeEmbed(nn.Module):
+ """Sinusoidal positional encoding for scalar depth-time t_l = l/L."""
+
+ def __init__(self, embed_dim: int):
+ super().__init__()
+ self.embed_dim = embed_dim
+
+ def forward(self, t: torch.Tensor) -> torch.Tensor:
+ """t: (batch,) or (batch, 1) scalar in [0,1]."""
+ if t.dim() == 1:
+ t = t.unsqueeze(-1) # (batch, 1)
+ half = self.embed_dim // 2
+ freqs = torch.exp(
+ -math.log(10000.0) * torch.arange(half, device=t.device, dtype=t.dtype) / half
+ )
+ args = t * freqs.unsqueeze(0) # (batch, half)
+ return torch.cat([torch.sin(args), torch.cos(args)], dim=-1) # (batch, embed_dim)
+
+
+class ValueNet(nn.Module):
+ """
+ Scalar value network V_phi(h_l, t_l, s).
+ Inputs:
+ h: hidden state (batch, d_hidden)
+ t: depth-time scalar (batch,) in [0, 1]
+ s: terminal modulation code (batch, s_dim)
+ Output:
+ V: scalar (batch,)
+ """
+
+ def __init__(self, d_hidden: int, s_dim: int, time_embed_dim: int = 32,
+ hidden_dim: int = 256, num_layers: int = 3):
+ super().__init__()
+ self.ln = nn.LayerNorm(d_hidden)
+ self.time_embed = SinusoidalTimeEmbed(time_embed_dim)
+
+ input_dim = d_hidden + time_embed_dim + s_dim
+ layers = []
+ for i in range(num_layers):
+ in_d = input_dim if i == 0 else hidden_dim
+ layers.append(nn.Linear(in_d, hidden_dim))
+ layers.append(nn.GELU())
+ layers.append(nn.Linear(hidden_dim, 1))
+ self.net = nn.Sequential(*layers)
+
+ def forward(self, h: torch.Tensor, t: torch.Tensor, s: torch.Tensor) -> torch.Tensor:
+ """Returns V(h, t, s) as (batch,) scalar."""
+ h_normed = self.ln(h)
+ t_emb = self.time_embed(t)
+ inp = torch.cat([h_normed, t_emb, s], dim=-1)
+ return self.net(inp).squeeze(-1)
+
+
+def create_ema_model(model: nn.Module) -> nn.Module:
+ """Create an EMA copy of a model."""
+ ema = copy.deepcopy(model)
+ for p in ema.parameters():
+ p.requires_grad_(False)
+ return ema
+
+
+@torch.no_grad()
+def update_ema(model: nn.Module, ema_model: nn.Module, momentum: float = 0.99):
+ """Update EMA model parameters."""
+ for p, ep in zip(model.parameters(), ema_model.parameters()):
+ ep.data.mul_(momentum).add_(p.data, alpha=1 - momentum)