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import json
import math
from dataclasses import asdict, dataclass
from pathlib import Path
import torch
from torch import nn
from torch.nn import functional as F
_compiled_block = None
def _rms(x: torch.Tensor, weight: torch.Tensor) -> torch.Tensor:
y = x.float()
y = y * torch.rsqrt(y.square().mean(-1, keepdim=True) + 1e-6)
return y.to(x.dtype) * weight
def _block_forward(
x: torch.Tensor,
n1: torch.Tensor,
qkv: torch.Tensor,
qn: torch.Tensor,
kn: torch.Tensor,
out: torch.Tensor,
n2: torch.Tensor,
gate: torch.Tensor,
up: torch.Tensor,
down: torch.Tensor,
rope_cos: torch.Tensor,
rope_sin: torch.Tensor,
heads: int,
) -> torch.Tensor:
batch, length, dim = x.shape
head_dim = dim // heads
a = _rms(x, n1)
q, k, v = F.linear(a, qkv).chunk(3, dim=-1)
q = _rms(q.view(batch, length, heads, head_dim), qn).transpose(1, 2)
k = _rms(k.view(batch, length, heads, head_dim), kn).transpose(1, 2)
v = v.view(batch, length, heads, head_dim).transpose(1, 2)
cos = rope_cos[:, :, :length].to(x.dtype)
sin = rope_sin[:, :, :length].to(x.dtype)
qa, qb = q[..., 0::2], q[..., 1::2]
ka, kb = k[..., 0::2], k[..., 1::2]
q = torch.stack((qa * cos - qb * sin, qa * sin + qb * cos), dim=-1).flatten(-2)
k = torch.stack((ka * cos - kb * sin, ka * sin + kb * cos), dim=-1).flatten(-2)
a = F.scaled_dot_product_attention(q, k, v, is_causal=True)
x = x + F.linear(a.transpose(1, 2).reshape(batch, length, dim), out)
a = _rms(x, n2)
return x + F.linear(F.silu(F.linear(a, gate)) * F.linear(a, up), down)
@dataclass
class CascadeConfig:
vocab_size: int = 256
sequence_length: int = 1024
local_dimension: int = 384
local_layers: int = 4
local_heads: int = 6
local_intermediate_size: int = 1536
dimension: int = 1024
heads: int = 16
intermediate_size: int = 12032
route_paths: int = 3
active_layers: int = 8
max_patches: int = 192
patch_rate: float = 0.125
entropy_threshold: float = 5.0
rope_theta: float = 10000.0
patch_aux_weight: float = 0.25
model_type: str = "cascade_byte_lm"
architectures: tuple[str, ...] = ("CascadeForCausalLM",)
def save(self, path: str | Path) -> None:
Path(path).write_text(json.dumps(asdict(self), indent=2), encoding="utf-8")
@classmethod
def load(cls, path: str | Path) -> "CascadeConfig":
values = json.loads(Path(path).read_text(encoding="utf-8"))
values.pop("model_type", None)
values.pop("architectures", None)
return cls(**values)
class RMSNorm(nn.Module):
def __init__(self, dim: int) -> None:
super().__init__()
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
y = x.float()
y = y * torch.rsqrt(y.square().mean(-1, keepdim=True) + 1e-6)
return y.to(x.dtype) * self.weight
class Attention(nn.Module):
def __init__(self, dim: int, heads: int, max_length: int, theta: float) -> None:
super().__init__()
self.heads = heads
self.head_dim = dim // heads
self.qkv = nn.Linear(dim, 3 * dim, bias=False)
self.q_norm = RMSNorm(self.head_dim)
self.k_norm = RMSNorm(self.head_dim)
self.out = nn.Linear(dim, dim, bias=False)
pos = torch.arange(max_length, dtype=torch.float32)
inv = torch.exp(-math.log(theta) * torch.arange(0, self.head_dim, 2) / self.head_dim)
angle = pos[:, None] * inv[None, :]
self.register_buffer("rope_cos", angle.cos()[None, None], persistent=False)
self.register_buffer("rope_sin", angle.sin()[None, None], persistent=False)
def rotate(self, x: torch.Tensor) -> torch.Tensor:
length = x.shape[-2]
cos = self.rope_cos[:, :, :length].to(x.dtype)
sin = self.rope_sin[:, :, :length].to(x.dtype)
a, b = x[..., 0::2], x[..., 1::2]
return torch.stack((a * cos - b * sin, a * sin + b * cos), dim=-1).flatten(-2)
def forward(self, x: torch.Tensor) -> torch.Tensor:
batch, length, _ = x.shape
q, k, v = self.qkv(x).chunk(3, dim=-1)
q = self.q_norm(q.view(batch, length, self.heads, self.head_dim)).transpose(1, 2)
k = self.k_norm(k.view(batch, length, self.heads, self.head_dim)).transpose(1, 2)
v = v.view(batch, length, self.heads, self.head_dim).transpose(1, 2)
q, k = self.rotate(q), self.rotate(k)
y = F.scaled_dot_product_attention(q, k, v, is_causal=True)
return self.out(y.transpose(1, 2).reshape(batch, length, -1))
class FeedForward(nn.Module):
def __init__(self, dim: int, hidden: int) -> None:
super().__init__()
self.gate = nn.Linear(dim, hidden, bias=False)
self.up = nn.Linear(dim, hidden, bias=False)
self.down = nn.Linear(hidden, dim, bias=False)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.down(F.silu(self.gate(x)) * self.up(x))
class Block(nn.Module):
def __init__(self, dim: int, heads: int, hidden: int, max_length: int, theta: float) -> None:
super().__init__()
self.n1 = RMSNorm(dim)
self.attn = Attention(dim, heads, max_length, theta)
self.n2 = RMSNorm(dim)
self.ffn = FeedForward(dim, hidden)
self.compiled = False
def forward(self, x: torch.Tensor) -> torch.Tensor:
if self.compiled:
return _compiled_block(
x,
self.n1.weight,
self.attn.qkv.weight,
self.attn.q_norm.weight,
self.attn.k_norm.weight,
self.attn.out.weight,
self.n2.weight,
self.ffn.gate.weight,
self.ffn.up.weight,
self.ffn.down.weight,
self.attn.rope_cos,
self.attn.rope_sin,
self.attn.heads,
)
x = x + self.attn(self.n1(x))
return x + self.ffn(self.n2(x))
class CascadeForCausalLM(nn.Module):
def __init__(self, config: CascadeConfig, surprise: torch.Tensor | None = None) -> None:
super().__init__()
self.config = config
if surprise is None:
surprise = torch.full((256, 256), config.entropy_threshold)
self.register_buffer("surprise", surprise.float())
self.register_buffer("entropy_threshold", torch.tensor(config.entropy_threshold))
self.embed = nn.Embedding(config.vocab_size, config.local_dimension)
self.local_blocks = nn.ModuleList(
Block(
config.local_dimension,
config.local_heads,
config.local_intermediate_size,
config.sequence_length,
config.rope_theta,
)
for _ in range(config.local_layers)
)
self.to_core = nn.Linear(config.local_dimension, config.dimension, bias=False)
self.paths = nn.ModuleList(
nn.ModuleList(
Block(
config.dimension,
config.heads,
config.intermediate_size,
config.max_patches,
config.rope_theta,
)
for _ in range(config.active_layers)
)
for _ in range(config.route_paths)
)
self.core_norm = RMSNorm(config.dimension)
self.patch_head = nn.Linear(config.dimension, config.vocab_size, bias=False)
self.from_core = nn.Linear(config.dimension, config.local_dimension, bias=False)
self.mix = nn.Linear(2 * config.local_dimension, config.local_dimension, bias=False)
self.norm = RMSNorm(config.local_dimension)
self.head = nn.Linear(config.local_dimension, config.vocab_size, bias=False)
self.head.weight = self.embed.weight
self.apply(self._initialize)
residual_std = 0.02 / math.sqrt(2 * (config.local_layers + config.active_layers))
for module in self.modules():
if isinstance(module, Attention):
nn.init.normal_(module.out.weight, std=residual_std)
elif isinstance(module, FeedForward):
nn.init.normal_(module.down.weight, std=residual_std)
@staticmethod
def _initialize(module: nn.Module) -> None:
if isinstance(module, (nn.Linear, nn.Embedding)):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
def set_entropy(self, surprise: torch.Tensor, threshold: float) -> None:
self.surprise.copy_(surprise)
self.entropy_threshold.fill_(threshold)
self.config.entropy_threshold = threshold
def compile_blocks(self) -> None:
global _compiled_block
if _compiled_block is None:
_compiled_block = torch.compile(_block_forward, mode="max-autotune-no-cudagraphs", fullgraph=True)
for block in self.local_blocks:
block.compiled = True
for path in self.paths:
for block in path:
block.compiled = True
def patch(self, x: torch.Tensor, h: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor, torch.Tensor, torch.Tensor, torch.Tensor]:
score = self.surprise[x[:, :-1], x[:, 1:]]
boundary = torch.cat((torch.ones_like(x[:, :1], dtype=torch.bool), score >= self.entropy_threshold), dim=1)
raw_ids = boundary.long().cumsum(1).sub(1)
totals = raw_ids[:, -1:].add(1)
compacted = raw_ids.mul(self.config.max_patches).div(totals, rounding_mode="floor")
ids = torch.where(totals.gt(self.config.max_patches), compacted, raw_ids)
merged_boundary = torch.cat((torch.ones_like(ids[:, :1], dtype=torch.bool), ids[:, 1:].ne(ids[:, :-1])), dim=1)
end = torch.cat((ids[:, :-1].ne(ids[:, 1:]), torch.ones_like(ids[:, -1:], dtype=torch.bool)), dim=1)
patches = torch.zeros(x.shape[0], self.config.max_patches, h.shape[-1], device=h.device, dtype=h.dtype)
patches.scatter_add_(1, ids.unsqueeze(-1).expand_as(h), h * end.unsqueeze(-1))
counts = torch.zeros(x.shape[0], self.config.max_patches, device=x.device, dtype=torch.int32)
counts.scatter_add_(1, ids, torch.ones_like(ids, dtype=torch.int32))
first = torch.zeros(x.shape[0], self.config.max_patches, device=x.device, dtype=torch.long)
first.scatter_add_(1, ids, x * merged_boundary)
overflow = totals[:, 0].gt(self.config.max_patches)
return patches, ids, counts, first, overflow
def forward(self, x: torch.Tensor, route_id: int) -> tuple[torch.Tensor, torch.Tensor, dict[str, torch.Tensor]]:
h = self.embed(x)
for block in self.local_blocks:
h = block(h)
patches, ids, counts, first, overflow = self.patch(x, h)
z = self.to_core(patches)
for block in self.paths[route_id]:
z = block(z)
z = self.core_norm(z)
previous = ids.sub(1).clamp_min(0)
context = z.gather(1, previous.unsqueeze(-1).expand(-1, -1, z.shape[-1]))
context = self.from_core(context) * ids.gt(0).unsqueeze(-1)
gate = torch.sigmoid(self.mix(torch.cat((h, context), dim=-1)))
logits = self.head(self.norm(h + gate * context))
valid = counts[:, 1:].gt(0)
auxiliary = F.cross_entropy(self.patch_head(z[:, :-1])[valid], first[:, 1:][valid])
stats = {
"patches": counts.gt(0).sum(),
"overflow": overflow.sum(),
"gate": gate.mean(),
}
return logits, auxiliary, stats
def parameter_counts(self) -> dict[str, int]:
paths = sum(p.numel() for p in self.paths.parameters())
active_path = paths // self.config.route_paths
total = sum(p.numel() for p in self.parameters())
return {"total": total, "active": total - paths + active_path, "shared": total - paths, "active_path": active_path}
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