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| """A GPT-style decoder-only transformer, written from scratch in PyTorch. | |
| 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 | |
| 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 | |
| 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)) | |
| 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 | |
| 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 | |