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025878f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 | """Toy 1M-param transformer with Gemma 4 alternating SWA + optional engram memory.
Design notes
------------
* RMSNorm pre-norm, SwiGLU MLP, tied embedding/output (standard Llama-ish base).
* Causal mask is precomputed; sliding-window layers use the same code path with
an additional window-restricted mask (purely a mask difference -- no kernel split).
* RoPE is applied to Q/K only (standard, no Gemma 4 dual-RoPE).
* Engram is an optional 512-slot static memory bank attended-to from one layer's
output; injected via a sigmoid gate that is zero-initialised so it's a no-op
at training start. Bit-identical to no-engram when `cfg.engram_enabled=False`.
"""
from __future__ import annotations
import math
from typing import Optional
import torch
import torch.nn as nn
import torch.nn.functional as F
from config import Config
# ---------------------------------------------------------------------------
# RMSNorm
# ---------------------------------------------------------------------------
class RMSNorm(nn.Module):
def __init__(self, dim: int, eps: float = 1e-5):
super().__init__()
self.weight = nn.Parameter(torch.ones(dim))
self.eps = eps
def forward(self, x: torch.Tensor) -> torch.Tensor:
# Compute in float32 for stability; cast back to input dtype.
dtype = x.dtype
xf = x.float()
rms = xf.pow(2).mean(-1, keepdim=True).add(self.eps).rsqrt()
return (xf * rms).to(dtype) * self.weight
# ---------------------------------------------------------------------------
# RoPE
# ---------------------------------------------------------------------------
def _build_rope_cache(seq_len: int, head_dim: int, base: float, device, dtype) -> tuple[torch.Tensor, torch.Tensor]:
assert head_dim % 2 == 0, "head_dim must be even for RoPE"
half = head_dim // 2
inv_freq = 1.0 / (base ** (torch.arange(0, half, device=device, dtype=torch.float32) / half))
t = torch.arange(seq_len, device=device, dtype=torch.float32)
freqs = torch.einsum("i,j->ij", t, inv_freq) # (T, half)
cos = freqs.cos().to(dtype)
sin = freqs.sin().to(dtype)
return cos, sin # each (T, half)
def _apply_rope(x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor) -> torch.Tensor:
# x: (B, n_h, T, head_dim). cos/sin: (T, head_dim/2).
x1, x2 = x.chunk(2, dim=-1)
cos_b = cos[None, None, :, :]
sin_b = sin[None, None, :, :]
rotated_x1 = x1 * cos_b - x2 * sin_b
rotated_x2 = x1 * sin_b + x2 * cos_b
return torch.cat([rotated_x1, rotated_x2], dim=-1)
# ---------------------------------------------------------------------------
# Attention
# ---------------------------------------------------------------------------
class Attention(nn.Module):
"""MHA with RoPE and configurable causal-or-sliding mask.
`kind == 'global'`: full causal attention.
`kind == 'slide'` : causal attention restricted to the last `window` tokens.
Both code paths use F.scaled_dot_product_attention for speed; the only
difference is the additive mask. When kind=='global' we pass `is_causal=True`
and skip building an explicit mask. When kind=='slide' we build a banded
mask that is bit-identical to the global path with appropriate -inf entries
outside the window.
"""
def __init__(self, cfg: Config, kind: str):
super().__init__()
assert kind in ("global", "slide")
self.cfg = cfg
self.kind = kind
self.n_heads = cfg.n_heads
self.head_dim = cfg.head_dim
self.scale = self.head_dim**-0.5
self.W_q = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.W_k = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.W_v = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.W_o = nn.Linear(cfg.dim, cfg.dim, bias=False)
def forward(self, x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor) -> torch.Tensor:
B, T, D = x.shape
q = self.W_q(x).view(B, T, self.n_heads, self.head_dim).transpose(1, 2) # (B, H, T, Dh)
k = self.W_k(x).view(B, T, self.n_heads, self.head_dim).transpose(1, 2)
v = self.W_v(x).view(B, T, self.n_heads, self.head_dim).transpose(1, 2)
q = _apply_rope(q, cos, sin)
k = _apply_rope(k, cos, sin)
if self.kind == "global":
out = F.scaled_dot_product_attention(q, k, v, is_causal=True)
else:
# Banded causal mask: token t may attend to tokens in [max(0, t-window+1), t].
mask = _sliding_causal_mask(T, self.cfg.sliding_window, x.device, x.dtype)
out = F.scaled_dot_product_attention(q, k, v, attn_mask=mask, is_causal=False)
out = out.transpose(1, 2).contiguous().view(B, T, D)
return self.W_o(out)
def _sliding_causal_mask(T: int, window: int, device, dtype) -> torch.Tensor:
"""(T, T) additive mask: 0 inside window+causal, -inf outside.
Token i attends to j iff j <= i and (i - j) < window.
"""
i = torch.arange(T, device=device).unsqueeze(1) # (T,1)
j = torch.arange(T, device=device).unsqueeze(0) # (1,T)
causal = j <= i
in_window = (i - j) < window
keep = causal & in_window
mask = torch.zeros((T, T), device=device, dtype=dtype)
mask = mask.masked_fill(~keep, float("-inf"))
# SDPA expects (..., T, T) broadcast over batch/heads.
return mask
# ---------------------------------------------------------------------------
# MLP (SwiGLU)
# ---------------------------------------------------------------------------
class SwiGLU(nn.Module):
def __init__(self, dim: int, hidden: int):
super().__init__()
self.w_gate = nn.Linear(dim, hidden, bias=False)
self.w_up = nn.Linear(dim, hidden, bias=False)
self.w_down = nn.Linear(hidden, dim, bias=False)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.w_down(F.silu(self.w_gate(x)) * self.w_up(x))
# ---------------------------------------------------------------------------
# Block
# ---------------------------------------------------------------------------
class Block(nn.Module):
def __init__(self, cfg: Config, layer_idx: int):
super().__init__()
kind = cfg.attention_kind(layer_idx)
self.norm1 = RMSNorm(cfg.dim, eps=cfg.norm_eps)
self.attn = Attention(cfg, kind=kind)
self.norm2 = RMSNorm(cfg.dim, eps=cfg.norm_eps)
self.mlp = SwiGLU(cfg.dim, cfg.mlp_hidden)
self.kind = kind
def forward(self, x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor) -> torch.Tensor:
x = x + self.attn(self.norm1(x), cos, sin)
x = x + self.mlp(self.norm2(x))
return x
# ---------------------------------------------------------------------------
# Engram external memory
# ---------------------------------------------------------------------------
class Engram(nn.Module):
"""Static memory bank with single-head attention readout + zero-init gate.
Bit-identical to no-engram at init (gate sigmoid is zero so injection is 0).
Becomes non-trivial only after the gate is trained away from zero.
"""
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
# Slot rows are normalised by RMSNorm at read time.
self.slots = nn.Parameter(torch.randn(cfg.engram_slots, cfg.dim) * cfg.init_std)
self.q_proj = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.k_proj = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.v_proj = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.o_proj = nn.Linear(cfg.dim, cfg.dim, bias=False)
self.norm = RMSNorm(cfg.dim, eps=cfg.norm_eps)
# Zero-init gate scalar -> sigmoid(0) = 0.5? No, we want exact no-op at init.
# Use a *raw* gate that we multiply rather than sigmoid; init to 0.
self.gate = nn.Parameter(torch.zeros(cfg.dim))
def forward(self, h: torch.Tensor) -> torch.Tensor:
# h: (B, T, D). Read from memory.
h_n = self.norm(h)
q = self.q_proj(h_n) # (B, T, D)
k = self.k_proj(self.slots) # (S, D)
v = self.v_proj(self.slots) # (S, D)
scale = q.shape[-1] ** -0.5
attn = torch.einsum("btd,sd->bts", q, k) * scale
w = attn.softmax(dim=-1)
retrieved = torch.einsum("bts,sd->btd", w, v)
retrieved = self.o_proj(retrieved)
# Multiplicative zero-init gate -> exact no-op at init.
return h + self.gate * retrieved
# ---------------------------------------------------------------------------
# ToyLM
# ---------------------------------------------------------------------------
class ToyLM(nn.Module):
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
self.tok_emb = nn.Embedding(cfg.vocab_size, cfg.dim)
self.blocks = nn.ModuleList([Block(cfg, i) for i in range(cfg.n_layers)])
self.norm_f = RMSNorm(cfg.dim, eps=cfg.norm_eps)
if cfg.engram_enabled:
self.engram = Engram(cfg)
else:
self.engram = None
if not cfg.tie_embeddings:
self.lm_head = nn.Linear(cfg.dim, cfg.vocab_size, bias=False)
else:
self.lm_head = None
# RoPE cache; rebuilt lazily if the requested seq_len exceeds it.
cos, sin = _build_rope_cache(cfg.max_seq_len, cfg.head_dim, cfg.rope_base, device="cpu", dtype=torch.float32)
self.register_buffer("rope_cos", cos, persistent=False)
self.register_buffer("rope_sin", sin, persistent=False)
self._init_weights()
def _init_weights(self) -> None:
std = self.cfg.init_std
for p_name, p in self.named_parameters():
if p.dim() >= 2:
nn.init.normal_(p, mean=0.0, std=std)
elif p_name.endswith(".weight") and "norm" in p_name.lower():
nn.init.ones_(p)
elif p_name == "engram.gate":
nn.init.zeros_(p)
else:
nn.init.zeros_(p)
def forward(self, idx: torch.Tensor, targets: Optional[torch.Tensor] = None) -> tuple[torch.Tensor, Optional[torch.Tensor]]:
B, T = idx.shape
assert T <= self.cfg.max_seq_len, f"seq_len {T} > max {self.cfg.max_seq_len}"
x = self.tok_emb(idx)
cos = self.rope_cos[:T].to(device=x.device, dtype=x.dtype)
sin = self.rope_sin[:T].to(device=x.device, dtype=x.dtype)
for i, blk in enumerate(self.blocks):
x = blk(x, cos, sin)
if self.engram is not None and i == self.cfg.engram_inject_layer:
x = self.engram(x)
x = self.norm_f(x)
if self.cfg.tie_embeddings:
logits = F.linear(x, self.tok_emb.weight)
else:
logits = self.lm_head(x)
# Gemma-2 logit soft-cap (bf16 stability + bounded softmax input).
if self.cfg.lm_head_logit_cap is not None:
cap = self.cfg.lm_head_logit_cap
logits = cap * torch.tanh(logits / cap)
loss = None
if targets is not None:
loss = F.cross_entropy(
logits.reshape(-1, logits.size(-1)),
targets.reshape(-1),
ignore_index=-100,
)
# PaLM-style z-loss: penalises log-partition magnitude. Keeps the
# softmax denominator from drifting; small weight (~1e-4) costs ~0.
# Computed only on non-ignored positions so it composes with masked SFT.
if self.cfg.z_loss_weight > 0:
lse = torch.logsumexp(logits.float(), dim=-1) # (B, T)
if targets is not None:
valid = targets.reshape(*lse.shape) != -100
if valid.any():
z = (lse[valid] ** 2).mean()
else:
z = lse.new_zeros(())
else:
z = (lse ** 2).mean()
loss = loss + self.cfg.z_loss_weight * z
return logits, loss
@torch.no_grad()
def generate(
self,
idx: torch.Tensor,
max_new_tokens: int = 80,
*,
temperature: float = 0.8,
top_p: float = 0.9,
rep_penalty: float = 1.3,
stop_token_ids: Optional[set[int]] = None,
) -> torch.Tensor:
"""Sampling-based decode with top-p + repetition penalty.
Defaults are tuned for sub-10M LMs: greedy alone collapses into
token-level repetition loops at this scale (entropy stays high but
argmax follows a self-amplifying trajectory). T=0.8 + top-p 0.9 +
rep_penalty=1.3 reliably breaks the loop without going incoherent.
Validated 2026-04-29 on the 12k-step toy 1M checkpoint.
Pass `temperature=0.0` to recover greedy (without rep_penalty).
"""
self.eval()
for _ in range(max_new_tokens):
logits, _ = self(idx)
logits = logits[:, -1].float() # (B, V)
if rep_penalty != 1.0:
# Per-batch element rep penalty over already-emitted tokens.
for b in range(idx.size(0)):
seen = torch.unique(idx[b])
pos = logits[b, seen] > 0
logits[b, seen] = torch.where(pos,
logits[b, seen] / rep_penalty,
logits[b, seen] * rep_penalty)
if temperature <= 0.0:
nxt = logits.argmax(dim=-1, keepdim=True)
else:
logits = logits / temperature
if top_p < 1.0:
sorted_logits, sorted_idx = logits.sort(descending=True)
cum = F.softmax(sorted_logits, dim=-1).cumsum(dim=-1)
mask = cum > top_p
mask[..., 1:] = mask[..., :-1].clone()
mask[..., 0] = False
logits = logits.scatter(1, sorted_idx,
sorted_logits.masked_fill(mask, float('-inf')))
probs = F.softmax(logits, dim=-1)
nxt = torch.multinomial(probs, num_samples=1)
idx = torch.cat([idx, nxt], dim=1)
if stop_token_ids is not None and nxt[0, 0].item() in stop_token_ids:
break
if idx.size(1) >= self.cfg.max_seq_len:
break
return idx
def num_params_breakdown(self) -> dict[str, int]:
emb = sum(p.numel() for p in self.tok_emb.parameters())
attn = 0
mlp = 0
norms = 0
for blk in self.blocks:
attn += sum(p.numel() for p in blk.attn.parameters())
mlp += sum(p.numel() for p in blk.mlp.parameters())
norms += sum(p.numel() for p in blk.norm1.parameters())
norms += sum(p.numel() for p in blk.norm2.parameters())
norms += sum(p.numel() for p in self.norm_f.parameters())
engram = sum(p.numel() for p in self.engram.parameters()) if self.engram is not None else 0
head = sum(p.numel() for p in self.lm_head.parameters()) if self.lm_head is not None else 0
total = sum(p.numel() for p in self.parameters())
return {
"embedding": emb,
"attention": attn,
"mlp": mlp,
"norms": norms,
"engram": engram,
"lm_head_extra": head, # 0 when tied
"total": total,
}
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