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Architecture: token embeddings -> N x [RMSNorm -> causal self-attention
(rotary position embeddings) -> RMSNorm -> SwiGLU MLP] -> RMSNorm -> LM
head (weights tied to the embeddings). Generation uses a KV cache.
Version 2 adds grouped-query attention (fewer key/value heads: a smaller KV
cache and faster generation) and QK-norm (normalised queries/keys, which keeps
attention logits bounded and allows higher learning rates). Version-1
checkpoints load unchanged: the new fields default to v1 behaviour.
"""
from __future__ import annotations
import math
from dataclasses import asdict, dataclass
import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.utils.checkpoint
@dataclass
class GPTConfig:
vocab_size: int = 4096
block_size: int = 512
n_layer: int = 6
n_head: int = 6
n_embd: int = 384
dropout: float = 0.0
n_kv_head: int | None = None # v2: grouped-query attention (None = one KV head per query head)
qk_norm: bool = False # v2: RMSNorm on queries and keys
arch_version: int = 1
@property
def kv_heads(self) -> int:
return self.n_kv_head or self.n_head
def to_dict(self) -> dict:
return asdict(self)
_V2 = dict(qk_norm=True, arch_version=2)
# Named sizes. Parameter counts are for an 8k vocabulary.
PRESETS: dict[str, dict] = {
# version 1
"tiny": dict(n_layer=2, n_head=2, n_embd=64, block_size=128), # ~0.6M, for tests
"small": dict(n_layer=4, n_head=4, n_embd=256, block_size=256), # ~5M, CPU-friendly
"base": dict(n_layer=6, n_head=6, n_embd=384, block_size=512), # ~14M
"medium": dict(n_layer=8, n_head=8, n_embd=512, block_size=1024), # ~30M, wants a GPU
"large": dict(n_layer=12, n_head=12, n_embd=768, block_size=1024), # ~92M, GPU
# version 2 (GQA + QK-norm)
"v2-tiny": dict(n_layer=2, n_head=4, n_kv_head=2, n_embd=64, block_size=128, **_V2),
"v2-small": dict(n_layer=8, n_head=8, n_kv_head=2, n_embd=256, block_size=512, **_V2),
"v2-base": dict(n_layer=12, n_head=8, n_kv_head=2, n_embd=512, block_size=1024, **_V2),
"v2-medium": dict(n_layer=16, n_head=12, n_kv_head=4, n_embd=768, block_size=1024, **_V2),
"v2-large": dict(n_layer=24, n_head=16, n_kv_head=4, n_embd=1024, block_size=2048, **_V2),
}
# version 3: the ~40M-parameter model (v2 architecture, scaled up, trained with Muon)
_V3 = dict(qk_norm=True, arch_version=3)
PRESETS.update({
"v3-tiny": dict(n_layer=3, n_head=4, n_kv_head=2, n_embd=64, block_size=128, **_V3),
"v3-40m": dict(n_layer=13, n_head=8, n_kv_head=2, n_embd=512, block_size=1024, **_V3),
})
# version 4: ~100M parameters. Deep and narrow (34 x 512), which suits small models and lets
# v4 be grown from a trained v3 (13 x 512) without changing its width.
_V4 = dict(qk_norm=True, arch_version=4)
PRESETS.update({
"v4-tiny": dict(n_layer=5, n_head=4, n_kv_head=2, n_embd=64, block_size=128, **_V4),
"v4-100m": dict(n_layer=34, n_head=8, n_kv_head=2, n_embd=512, block_size=1024, **_V4),
})
# version 5: grown from v4 (34 x 512) in width only, so the depth stays 34.
# v5-385m 34 x 1024 (16 q / 4 kv heads) ~385M -> free Kaggle / Colab GPUs (T4)
# v5-1.5b 34 x 2048 (32 q / 8 kv heads) ~1.5B -> a rented A100 / H100
_V5 = dict(qk_norm=True, arch_version=5)
PRESETS.update({
"v5-tiny": dict(n_layer=6, n_head=8, n_kv_head=4, n_embd=128, block_size=128, **_V5), # grows from v4-tiny
"v5-385m": dict(n_layer=34, n_head=16, n_kv_head=4, n_embd=1024, block_size=1024, **_V5),
"v5-1.5b": dict(n_layer=34, n_head=32, n_kv_head=8, n_embd=2048, block_size=1024, **_V5),
})
DEFAULT_PRESET = "v2-small"
class RMSNorm(nn.Module):
def __init__(self, dim: int, eps: float = 1e-6) -> None:
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
norm = x.float().pow(2).mean(-1, keepdim=True).add(self.eps).rsqrt()
return (x.float() * norm).type_as(x) * self.weight
def rope_tables(head_dim: int, length: int, device=None, base: float = 10000.0):
inv_freq = 1.0 / (base ** (torch.arange(0, head_dim, 2, device=device).float() / head_dim))
t = torch.arange(length, device=device).float()
freqs = torch.outer(t, inv_freq) # (T, hd/2)
return freqs.cos(), freqs.sin()
def apply_rope(x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor) -> torch.Tensor:
# x: (B, H, T, hd); cos/sin: (T, hd/2)
x1, x2 = x[..., 0::2], x[..., 1::2]
cos, sin = cos[None, None], sin[None, None]
out = torch.stack((x1 * cos - x2 * sin, x1 * sin + x2 * cos), dim=-1)
return out.flatten(-2).type_as(x)
class Attention(nn.Module):
def __init__(self, cfg: GPTConfig) -> None:
super().__init__()
assert cfg.n_embd % cfg.n_head == 0, "n_embd must be divisible by n_head"
assert cfg.n_head % cfg.kv_heads == 0, "n_head must be a multiple of n_kv_head"
self.n_head = cfg.n_head
self.n_kv = cfg.kv_heads
self.head_dim = cfg.n_embd // cfg.n_head
assert self.head_dim % 2 == 0, "head dimension must be even for rotary embeddings"
self.kv_dim = self.n_kv * self.head_dim
# One fused projection; with n_kv == n_head this is exactly the v1 layout.
self.qkv = nn.Linear(cfg.n_embd, cfg.n_embd + 2 * self.kv_dim, bias=False)
self.proj = nn.Linear(cfg.n_embd, cfg.n_embd, bias=False)
if cfg.qk_norm:
self.q_norm = RMSNorm(self.head_dim)
self.k_norm = RMSNorm(self.head_dim)
else:
self.q_norm = self.k_norm = None
self.dropout = cfg.dropout
def _sdpa(self, q, k, v, **kwargs):
if self.n_kv != self.n_head:
repeat = self.n_head // self.n_kv
k = k.repeat_interleave(repeat, dim=1)
v = v.repeat_interleave(repeat, dim=1)
return F.scaled_dot_product_attention(q, k, v, **kwargs)
def forward(self, x, cos, sin, cache=None):
B, T, C = x.shape
q, k, v = self.qkv(x).split([C, self.kv_dim, self.kv_dim], dim=2)
q = q.view(B, T, self.n_head, self.head_dim).transpose(1, 2)
k = k.view(B, T, self.n_kv, self.head_dim).transpose(1, 2)
v = v.view(B, T, self.n_kv, self.head_dim).transpose(1, 2)
if self.q_norm is not None:
q, k = self.q_norm(q), self.k_norm(k)
q, k = apply_rope(q, cos, sin), apply_rope(k, cos, sin)
if cache is not None:
if cache.get("k") is not None:
k = torch.cat([cache["k"], k], dim=2)
v = torch.cat([cache["v"], v], dim=2)
cache["k"], cache["v"] = k, v # cached at n_kv heads: GQA keeps the cache small
# Causal masking: with a cache, the T new queries see all past keys.
if cache is not None and k.size(2) != T:
if T == 1:
y = self._sdpa(q, k, v)
else:
past = k.size(2) - T
mask = torch.ones(T, k.size(2), dtype=torch.bool, device=x.device).tril(diagonal=past)
y = self._sdpa(q, k, v, attn_mask=mask)
else:
y = self._sdpa(q, k, v, is_causal=True, dropout_p=self.dropout if self.training else 0.0)
y = y.transpose(1, 2).contiguous().view(B, T, C)
return self.proj(y)
class MLP(nn.Module):
def __init__(self, cfg: GPTConfig) -> None:
super().__init__()
hidden = int(8 * cfg.n_embd / 3)
hidden = 64 * ((hidden + 63) // 64)
self.gate = nn.Linear(cfg.n_embd, hidden, bias=False)
self.up = nn.Linear(cfg.n_embd, hidden, bias=False)
self.down = nn.Linear(hidden, cfg.n_embd, bias=False)
self.drop = nn.Dropout(cfg.dropout)
def forward(self, x):
return self.drop(self.down(F.silu(self.gate(x)) * self.up(x)))
class Block(nn.Module):
def __init__(self, cfg: GPTConfig) -> None:
super().__init__()
self.norm1 = RMSNorm(cfg.n_embd)
self.attn = Attention(cfg)
self.norm2 = RMSNorm(cfg.n_embd)
self.mlp = MLP(cfg)
def forward(self, x, cos, sin, cache=None):
x = x + self.attn(self.norm1(x), cos, sin, cache)
return x + self.mlp(self.norm2(x))
class GPT(nn.Module):
def __init__(self, cfg: GPTConfig) -> None:
super().__init__()
self.cfg = cfg
self.grad_checkpoint = False
self.embed = nn.Embedding(cfg.vocab_size, cfg.n_embd)
self.drop = nn.Dropout(cfg.dropout)
self.blocks = nn.ModuleList(Block(cfg) for _ in range(cfg.n_layer))
self.norm = RMSNorm(cfg.n_embd)
self.head = nn.Linear(cfg.n_embd, cfg.vocab_size, bias=False)
self.head.weight = self.embed.weight # weight tying
cos, sin = rope_tables(cfg.n_embd // cfg.n_head, cfg.block_size)
self.register_buffer("rope_cos", cos, persistent=False)
self.register_buffer("rope_sin", sin, persistent=False)
self.apply(self._init_weights)
for name, p in self.named_parameters():
if name.endswith("proj.weight") or name.endswith("down.weight"):
nn.init.normal_(p, mean=0.0, std=0.02 / math.sqrt(2 * cfg.n_layer))
@staticmethod
def _init_weights(module: nn.Module) -> None:
if isinstance(module, nn.Linear):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
elif isinstance(module, nn.Embedding):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
def num_params(self) -> int:
return sum(p.numel() for p in self.parameters())
def forward(self, idx: torch.Tensor, targets: torch.Tensor | None = None,
loss_mask: torch.Tensor | None = None, caches=None, start_pos: int = 0):
B, T = idx.shape
if start_pos + T > self.cfg.block_size:
raise ValueError(f"sequence length {start_pos + T} exceeds block_size {self.cfg.block_size}")
cos = self.rope_cos[start_pos: start_pos + T]
sin = self.rope_sin[start_pos: start_pos + T]
# fp32 residual stream, even when sharded training gathers the weights in fp16/bf16.
x = self.drop(self.embed(idx).float())
checkpointing = self.grad_checkpoint and self.training and caches is None
for i, block in enumerate(self.blocks):
if checkpointing:
# Recompute this block's activations in the backward pass instead of storing them:
# far less memory (fits bigger models/batches on a 16 GB GPU) for ~30% more compute.
x = torch.utils.checkpoint.checkpoint(block, x, cos, sin, None, use_reentrant=False)
else:
x = block(x, cos, sin, caches[i] if caches is not None else None)
x = self.norm(x)
if targets is None:
return self.head(x[:, -1:, :]), None
logits = self.head(x)
losses = F.cross_entropy(logits.view(-1, logits.size(-1)), targets.reshape(-1), reduction="none")
if loss_mask is not None:
mask = loss_mask.reshape(-1).float()
loss = (losses * mask).sum() / mask.sum().clamp(min=1.0)
else:
loss = losses.mean()
return logits, loss
@torch.no_grad()
def generate(self, idx: torch.Tensor, max_new_tokens: int, *, temperature: float = 0.8,
top_k: int | None = 50, top_p: float | None = 0.95, stop_ids: set[int] | None = None,
on_token=None, no_repeat_ngram: int = 0) -> torch.Tensor:
"""Sample tokens after ``idx`` (shape (1, T)). Uses a KV cache.
``no_repeat_ngram=n`` forbids any token that would repeat an n-token span already
generated; this breaks degenerate loops without penalising ordinary repetition
such as indentation or a variable name used twice."""
self.eval()
seen: dict[tuple[int, ...], set[int]] = {}
generated: list[int] = []
stop_ids = stop_ids or set()
# Keep the most recent context that leaves room for generation.
budget = self.cfg.block_size - max_new_tokens
if budget < 1:
max_new_tokens = self.cfg.block_size // 2
budget = self.cfg.block_size - max_new_tokens
idx = idx[:, -budget:]
caches = [dict() for _ in self.blocks]
logits, _ = self(idx, caches=caches, start_pos=0)
pos = idx.size(1)
out = idx
for _ in range(max_new_tokens):
next_logits = logits[:, -1, :].float()
if no_repeat_ngram > 1 and len(generated) >= no_repeat_ngram - 1:
banned = seen.get(tuple(generated[-(no_repeat_ngram - 1):]))
if banned:
next_logits[:, list(banned)] = float("-inf")
if temperature <= 0:
next_id = next_logits.argmax(dim=-1, keepdim=True)
else:
next_logits = next_logits / temperature
if top_k:
kth = torch.topk(next_logits, min(top_k, next_logits.size(-1))).values[:, -1, None]
next_logits = next_logits.masked_fill(next_logits < kth, float("-inf"))
probs = F.softmax(next_logits, dim=-1)
if top_p and top_p < 1.0:
sorted_probs, sorted_idx = probs.sort(descending=True)
cumulative = sorted_probs.cumsum(-1)
sorted_probs[cumulative - sorted_probs > top_p] = 0.0
probs = torch.zeros_like(probs).scatter(-1, sorted_idx, sorted_probs)
probs = probs / probs.sum(-1, keepdim=True)
next_id = torch.multinomial(probs, 1)
token = int(next_id)
generated.append(token)
if no_repeat_ngram > 1 and len(generated) >= no_repeat_ngram:
seen.setdefault(tuple(generated[-no_repeat_ngram:-1]), set()).add(token)
out = torch.cat([out, next_id], dim=1)
if token in stop_ids:
break
if on_token is not None:
on_token(token)
if pos >= self.cfg.block_size:
break
logits, _ = self(next_id, caches=caches, start_pos=pos)
pos += 1
return out
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