File size: 22,236 Bytes
c175ce3 |
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 |
# Minimal SmolLM2-135M style model implemented in PyTorch.
# Architecture: LLaMA-style decoder-only Transformer with:
# - RMSNorm
# - RoPE positional encoding
# - SwiGLU MLP
# - Grouped (GQA/MQA) attention: num_attention_heads != num_key_value_heads
#
# This file is self-contained (except PyTorch) and can be used as:
#
# from model import SmolConfig, SmolLM2
#
# cfg = SmolConfig.from_hf("HuggingFaceTB/SmolLM2-135M")
# model = SmolLM2(cfg)
from dataclasses import dataclass
from typing import Optional, Tuple, List
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
# =========================
# 1. Config
# Got config from HuggingFace Using: transformers.AutoConfig.from_pretrained("HuggingFaceTB/SmolLM2-135M")
# Config: SmolLM2-135M
# LlamaConfig {
# "architectures": [
# "LlamaForCausalLM"
# ],
# "attention_bias": false,
# "attention_dropout": 0.0,
# "bos_token_id": 0,
# "dtype": "bfloat16",
# "eos_token_id": 0,
# "head_dim": 64,
# "hidden_act": "silu",
# "hidden_size": 576,
# "initializer_range": 0.041666666666666664,
# "intermediate_size": 1536,
# "is_llama_config": true,
# "max_position_embeddings": 8192,
# "mlp_bias": false,
# "model_type": "llama",
# "num_attention_heads": 9,
# "num_hidden_layers": 30,
# "num_key_value_heads": 3,
# "pretraining_tp": 1,
# "rms_norm_eps": 1e-05,
# "rope_interleaved": false,
# "rope_scaling": null,
# "rope_theta": 100000,
# "tie_word_embeddings": true,
# "transformers_version": "4.57.3",
# "use_cache": true,
# "vocab_size": 49152
# }
# =========================
@dataclass
class SmolConfig:
# Core dimensions
vocab_size: int = 49152 # from HF config
hidden_size: int = 576 # "hidden_size"
intermediate_size: int = 1536 # "intermediate_size"
num_hidden_layers: int = 30 # "num_hidden_layers"
num_attention_heads: int = 9 # "num_attention_heads"
num_key_value_heads: int = 3 # "num_key_value_heads"
max_position_embeddings: int = 8192 # "max_position_embeddings"
# Positional / RoPE
rope_theta: float = 100000.0 # "rope_theta"
# Norm / numerical
rms_norm_eps: float = 1e-5 # "rms_norm_eps"
# Biases
attention_bias: bool = False # "attention_bias"
mlp_bias: bool = False # "mlp_bias"
# Misc
dtype: torch.dtype = torch.bfloat16
@property
def head_dim(self) -> int:
# Should be 64 for SmolLM2-135M (576 / 9).
return self.hidden_size // self.num_attention_heads # 576 / 9 = 64
@classmethod
def from_hf(cls, hf_config) -> "SmolConfig":
"""
Helper to build this config from a transformers LlamaConfig (Which is the config for the HuggingFace SmolLM2-135M model).
Example:
from transformers import AutoConfig
hf = AutoConfig.from_pretrained("HuggingFaceTB/SmolLM2-135M")
cfg = SmolConfig.from_hf(hf)
And then pass this config to this function call to set the config for the model.
"""
return cls(
vocab_size=hf_config.vocab_size,
hidden_size=hf_config.hidden_size,
intermediate_size=hf_config.intermediate_size,
num_hidden_layers=hf_config.num_hidden_layers,
num_attention_heads=hf_config.num_attention_heads,
num_key_value_heads=getattr(hf_config, "num_key_value_heads",
hf_config.num_attention_heads),
max_position_embeddings=hf_config.max_position_embeddings,
rope_theta=getattr(hf_config, "rope_theta", 10000.0),
rms_norm_eps=hf_config.rms_norm_eps,
attention_bias=getattr(hf_config, "attention_bias", False),
mlp_bias=getattr(hf_config, "mlp_bias", False),
dtype=torch.bfloat16, # SmolLM2 uses bfloat16
)
# =========================
# 2. RMSNorm
# =========================
class RMSNorm(nn.Module):
"""
Root Mean Square Layer Normalization (RMSNorm)
Used in LLaMA / SmolLM2 instead of LayerNorm.
"""
def __init__(self, dim: int, eps: float = 1e-5):
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
# x: (..., dim)
# rms = sqrt(mean(x^2)), but we can use rsqrt for stability
norm = x.pow(2).mean(dim=-1, keepdim=True)
x = x * torch.rsqrt(norm + self.eps)
return self.weight * x
# =========================
# 3. RoPE (Rotary Positional Embeddings)
# =========================
def rope_freqs(head_dim: int, base: float, device, dtype):
"""
Compute inverse frequencies for RoPE.
"""
half_dim = head_dim // 2
# Equivalent to: base^{ -2i / d }
freq_seq = torch.arange(half_dim, device=device, dtype=dtype)
inv_freq = 1.0 / (base ** (freq_seq / half_dim))
return inv_freq # shape: (half_dim,)
def build_rope_cache(
seq_len: int,
head_dim: int,
base: float,
device,
dtype,
) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Build cosine and sine caches for RoPE.
Returns:
cos: (1, 1, seq_len, head_dim/2)
sin: (1, 1, seq_len, head_dim/2)
"""
inv_freq = rope_freqs(head_dim, base, device, dtype) # (half_dim,)
# Positions
t = torch.arange(seq_len, device=device, dtype=dtype) # (seq_len,)
freqs = torch.outer(t, inv_freq) # (seq_len, half_dim)
cos = freqs.cos()[None, None, :, :] # (1,1,seq_len,half_dim)
sin = freqs.sin()[None, None, :, :] # (1,1,seq_len,half_dim)
return cos, sin
def apply_rope(
x: torch.Tensor, # (B, n_head, T, head_dim)
cos: torch.Tensor,
sin: torch.Tensor,
) -> torch.Tensor:
"""
Apply RoPE to last dimension of x.
cos, sin are broadcast to match (..., head_dim/2).
"""
b, h, t, d = x.shape
half = d // 2
x1 = x[..., :half] # (B, n_head, T, head_dim/2)
x2 = x[..., half:] # (B, n_head, T, head_dim/2)
# cos/sin: (1,1,T,half) -> broadcast over B,h
cos_t = cos[..., :t, :]
sin_t = sin[..., :t, :]
x1_rot = x1 * cos_t - x2 * sin_t
x2_rot = x1 * sin_t + x2 * cos_t
return torch.cat([x1_rot, x2_rot], dim=-1) # (B, n_head, T, head_dim)
# =========================
# 4. Attention
# =========================
class MultiHeadSelfAttention(nn.Module):
"""
LLaMA / SmolLM2-style attention with:
- Q heads = num_attention_heads
- K/V heads = num_key_value_heads (GQA/MQA)
- RoPE on Q and K
- Causal masking
"""
def __init__(self, config: SmolConfig):
super().__init__()
self.config = config
self.n_heads = config.num_attention_heads # 9
self.n_kv_heads = config.num_key_value_heads # 3
self.head_dim = config.head_dim # 64
self.hidden_size = config.hidden_size # 576
assert self.hidden_size == self.n_heads * self.head_dim
# Projections
self.q_proj = nn.Linear(
self.hidden_size,
self.n_heads * self.head_dim,
bias=config.attention_bias,
)
self.k_proj = nn.Linear(
self.hidden_size,
self.n_kv_heads * self.head_dim,
bias=config.attention_bias,
)
self.v_proj = nn.Linear(
self.hidden_size,
self.n_kv_heads * self.head_dim,
bias=config.attention_bias,
)
self.o_proj = nn.Linear(
self.n_heads * self.head_dim,
self.hidden_size,
bias=config.attention_bias,
)
def forward(
self,
x: torch.Tensor, # (B, T, C) or (B, 1, C) for inference
cos: torch.Tensor, # (1,1,T,head_dim/2) or (1,1,1,head_dim/2) for inference
sin: torch.Tensor, # (1,1,T,head_dim/2) or (1,1,1,head_dim/2) for inference
attention_mask: Optional[torch.Tensor] = None, # (B, T) or (B,1,1,T)
past_key_value: Optional[Tuple[torch.Tensor, torch.Tensor]] = None, # (k_cache, v_cache)
use_cache: bool = False,
) -> Tuple[torch.Tensor, Optional[Tuple[torch.Tensor, torch.Tensor]]]:
B, T, C = x.shape
# Projections: (B,T,C) -> (B,T,h,d) -> (B,h,T,d)
q = self.q_proj(x).view(B, T, self.n_heads, self.head_dim).transpose(1, 2) # (B,T,C) -> (B,T,h*d) -> (B,T,h,d) -> (B,h,T,d)
k = self.k_proj(x).view(B, T, self.n_kv_heads, self.head_dim).transpose(1, 2) # (B,T,C) -> (B,T,k*d) -> (B,T,k,d) -> (B,k,T,d)
v = self.v_proj(x).view(B, T, self.n_kv_heads, self.head_dim).transpose(1, 2) # (B,T,C) -> (B,T,v*d) -> (B,T,v,d) -> (B,v,T,d)
# Apply RoPE to Q and K
q = apply_rope(q, cos, sin) # (B, h, T, d)
k = apply_rope(k, cos, sin) # (B, n_kv_heads, T, d)
# v doesn't need RoPE
# If using KV cache, concatenate with past keys/values
if past_key_value is not None:
past_k, past_v = past_key_value
# past_k, past_v: (B, n_kv_heads, past_len, head_dim)
k = torch.cat([past_k, k], dim=2) # (B, n_kv_heads, past_len + T, head_dim)
v = torch.cat([past_v, v], dim=2) # (B, n_kv_heads, past_len + T, head_dim)
seq_len = k.shape[2]
else:
seq_len = T
# Store k, v for cache (before GQA expansion)
k_cache = k # (B, n_kv_heads, seq_len, head_dim)
v_cache = v # (B, n_kv_heads, seq_len, head_dim)
# GQA: expand K/V if num_kv_heads < num_heads
if self.n_kv_heads != self.n_heads:
repeat_factor = self.n_heads // self.n_kv_heads
k = k.repeat_interleave(repeat_factor, dim=1) # (B, n_kv_heads, seq_len, d) -> (B, n_heads, seq_len, d)
v = v.repeat_interleave(repeat_factor, dim=1) # (B, n_kv_heads, seq_len, d) -> (B, n_heads, seq_len, d)
# Attention scores: (B,h,T,d) @ (B,h,d,seq_len) -> (B,h,T,seq_len)
scores = torch.matmul(q, k.transpose(-2, -1)) / math.sqrt(self.head_dim)
# Causal mask: prevent attending to future tokens
# For inference with KV cache, we only need to mask the current position
if past_key_value is None:
# Full sequence: mask all future positions
causal_mask = torch.full(
(T, T), float("-inf"), device=x.device, dtype=x.dtype
).triu(1) # upper triangle (i < j)
scores = scores + causal_mask.unsqueeze(0).unsqueeze(0) # (B,h,T,T) + (1,1,T,T) -> (B,h,T,T)
else:
# With KV cache: only mask positions beyond current (shouldn't happen, but safety)
# Since we're generating one token at a time, T=1, and we attend to all past + current
pass
# Optional attention mask (e.g., padding). Should be additive (0 or -inf).
if attention_mask is not None:
# Expect attention_mask as (B, 1, 1, seq_len) or (B, seq_len)
if attention_mask.dim() == 2:
# (B, seq_len) -> (B,1,1,seq_len)
attention_mask = attention_mask[:, None, None, :]
# Adjust mask shape if needed
if attention_mask.shape[-1] != seq_len:
# For inference, we might need to extend the mask
if past_key_value is not None:
# Extend mask to include past positions (all 0s for past, current mask for new token)
past_len = past_k.shape[2]
extended_mask = torch.zeros(B, 1, 1, seq_len, device=attention_mask.device, dtype=attention_mask.dtype)
extended_mask[..., past_len:] = attention_mask[..., -T:]
attention_mask = extended_mask
scores = scores + attention_mask
# Softmax over last dim (seq_len)
probs = F.softmax(scores, dim=-1) # (B,h,T,seq_len) -> (B,h,T,seq_len)
# Weighted sum of values
out = torch.matmul(probs, v) # (B,h,T,seq_len) @ (B,h,seq_len,d) -> (B,h,T,d)
# Reshape back: (B,T,C)
out = out.transpose(1, 2).contiguous().view(B, T, C) # (B,h,T,d) -> (B,T,h,d) -> (B,T,h*d) -> (B,T,C)
out = self.o_proj(out) # (B,T,C) -> (B,T,C)
# Return output and optionally the new KV cache
present_key_value = None
if use_cache:
# Return k_cache, v_cache (before GQA expansion, after RoPE)
present_key_value = (k_cache, v_cache)
return out, present_key_value
# =========================
# 5. MLP (SwiGLU)
# =========================
class SmolMLP(nn.Module):
"""
SwiGLU MLP:
z = W1(x) -> split -> (x1, x2)
out = W2( SiLU(x1) * x2 )
"""
def __init__(self, config: SmolConfig):
super().__init__()
self.fc1 = nn.Linear(
config.hidden_size,
2 * config.intermediate_size, # for SwiGLU split (2 x 1536 = 3072)
bias=config.mlp_bias,
)
self.fc2 = nn.Linear(
config.intermediate_size, # 1536
config.hidden_size, # 576
bias=config.mlp_bias,
)
def forward(self, x: torch.Tensor) -> torch.Tensor:
x = self.fc1(x)# (B,T,C) -> (B,T,2*intermediate_size) -> (B,T,1536*2) -> (B,T,3072)
x1, x2 = x.chunk(2, dim=-1) # (B,T,2*intermediate_size) = (B,T,3072) -> (B,T,intermediate), (B,T,intermediate) = (B,T,1536), (B,T,1536)
return self.fc2(F.silu(x1) * x2) # (B,T,intermediate) * (B,T,intermediate) -> (B,T,intermediate) -> (B,T,hidden_size) = (B,T,576)
# =========================
# 6. Transformer Block
# =========================
class SmolBlock(nn.Module):
def __init__(self, config: SmolConfig):
super().__init__()
self.attn_norm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)
self.attn = MultiHeadSelfAttention(config)
self.mlp_norm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)
self.mlp = SmolMLP(config)
def forward(
self,
x: torch.Tensor,
cos: torch.Tensor,
sin: torch.Tensor,
attention_mask: Optional[torch.Tensor] = None,
past_key_value: Optional[Tuple[torch.Tensor, torch.Tensor]] = None,
use_cache: bool = False,
) -> Tuple[torch.Tensor, Optional[Tuple[torch.Tensor, torch.Tensor]]]:
# Pre-norm + residual for attention
attn_out, present_key_value = self.attn(
self.attn_norm(x), cos, sin, attention_mask, past_key_value, use_cache
)
x = x + attn_out
# Pre-norm + residual for MLP
x = x + self.mlp(self.mlp_norm(x))
return x, present_key_value
# =============================================
# 7. Top-level SmolLM2-135M Model Architecture
# SmolLM2 follows the LLaMA-style decoder-only Transformer architecture.
# =============================================
class SmolLM2(nn.Module):
"""
SmolLM2-135M-style LLaMA decoder-only language model.
Usage:
cfg = SmolConfig()
model = SmolLM2(cfg)
input_ids: LongTensor (B, T)
logits = model(input_ids)
"""
def __init__(self, config: SmolConfig):
super().__init__()
self.config = config
self.embed_tokens = nn.Embedding(
config.vocab_size,
config.hidden_size,
) # (Vocab_Size, Hidden_Size) (49152 x 576)
self.layers = nn.ModuleList(
[SmolBlock(config) for _ in range(config.num_hidden_layers)]
)
self.norm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)
self.lm_head = nn.Linear(
config.hidden_size,
config.vocab_size,
bias=False,
) # (Hidden_Size, Vocab_Size) (576 x 49152)
# tie weights
self.lm_head.weight = self.embed_tokens.weight
def forward(
self,
input_ids: torch.Tensor, # (B, T)
attention_mask: Optional[torch.Tensor] = None,
past_key_values: Optional[List[Tuple[torch.Tensor, torch.Tensor]]] = None,
use_cache: bool = False,
) -> Tuple[torch.Tensor, Optional[List[Tuple[torch.Tensor, torch.Tensor]]]]:
B, T = input_ids.shape
# For inference with KV cache, we might have T=1
if past_key_values is None:
assert T <= self.config.max_position_embeddings, (
f"Sequence length {T} exceeds max_position_embeddings "
f"{self.config.max_position_embeddings}"
)
seq_len = T
else:
# With KV cache, current sequence length is past_len + T
past_len = past_key_values[0][0].shape[2] if past_key_values[0] is not None else 0
seq_len = past_len + T
assert seq_len <= self.config.max_position_embeddings, (
f"Total sequence length {seq_len} exceeds max_position_embeddings "
f"{self.config.max_position_embeddings}"
)
# Embedding
x = self.embed_tokens(input_ids) # (B,T) -> (B,T,C)
# RoPE cache - build for the full sequence length (past + current)
cos, sin = build_rope_cache(
seq_len=seq_len,
head_dim=self.config.head_dim,
base=self.config.rope_theta,
device=x.device,
dtype=x.dtype,
)
# If using KV cache, we only need cos/sin for current positions
if past_key_values is not None:
past_len = past_key_values[0][0].shape[2] if past_key_values[0] is not None else 0
# Slice to get only the current positions for RoPE
cos = cos[..., past_len:, :]
sin = sin[..., past_len:, :]
# Layers
present_key_values = [] if use_cache else None
for i, layer in enumerate(self.layers):
past_kv = past_key_values[i] if past_key_values is not None else None
x, present_kv = layer(x, cos, sin, attention_mask, past_kv, use_cache)
if use_cache:
present_key_values.append(present_kv)
# Final norm + lm head
x = self.norm(x)
logits = self.lm_head(x) # (B,T,C) -> (B,T,vocab_size)
return logits, present_key_values
@torch.no_grad()
def generate(
self,
input_ids: torch.Tensor,
max_new_tokens: int = 100,
temperature: float = 1.0,
top_k: Optional[int] = None,
top_p: Optional[float] = None,
eos_token_id: Optional[int] = None,
) -> torch.Tensor:
"""
Generate text using KV cache for efficient inference.
Args:
input_ids: (B, T) input token ids
max_new_tokens: maximum number of new tokens to generate
temperature: sampling temperature
top_k: top-k sampling (keep top k tokens)
top_p: nucleus sampling (keep tokens with cumulative probability <= top_p)
eos_token_id: end-of-sequence token id (stop generation when encountered)
Returns:
generated_ids: (B, T + max_new_tokens) generated token ids
"""
self.eval()
device = input_ids.device
B, T = input_ids.shape
# Start with input_ids
generated_ids = input_ids.clone()
past_key_values = None
for step in range(max_new_tokens):
# Forward pass with KV cache
# On first iteration, use full input_ids. On subsequent iterations, use only last token
if past_key_values is None:
# First iteration: process full sequence
current_input = generated_ids
else:
# Subsequent iterations: only process the last generated token
current_input = generated_ids[:, -1:]
logits, past_key_values = self.forward(
input_ids=current_input,
past_key_values=past_key_values,
use_cache=True,
)
# Get logits for the last token (always the last position in logits)
next_token_logits = logits[:, -1, :] / temperature
# Apply top-k filtering
if top_k is not None:
indices_to_remove = next_token_logits < torch.topk(next_token_logits, top_k)[0][..., -1, None]
next_token_logits[indices_to_remove] = float('-inf')
# Apply top-p (nucleus) filtering
if top_p is not None:
sorted_logits, sorted_indices = torch.sort(next_token_logits, descending=True)
cumulative_probs = torch.cumsum(F.softmax(sorted_logits, dim=-1), dim=-1)
# Remove tokens with cumulative probability above the threshold
sorted_indices_to_remove = cumulative_probs > top_p
sorted_indices_to_remove[..., 1:] = sorted_indices_to_remove[..., :-1].clone()
sorted_indices_to_remove[..., 0] = 0
indices_to_remove = sorted_indices_to_remove.scatter(1, sorted_indices, sorted_indices_to_remove)
next_token_logits[indices_to_remove] = float('-inf')
# Sample next token
probs = F.softmax(next_token_logits, dim=-1)
next_token = torch.multinomial(probs, num_samples=1) # (B, 1)
# Append to generated sequence
generated_ids = torch.cat([generated_ids, next_token], dim=1)
# Check for EOS token
if eos_token_id is not None and (next_token == eos_token_id).all():
break
return generated_ids
# =========================
# 8. Quick self-test
# =========================
if __name__ == "__main__":
# Tiny sanity check: runs a forward pass on random input
cfg = SmolConfig()
model = SmolLM2(cfg)
B, T = 2, 16
x = torch.randint(0, cfg.vocab_size, (B, T))
with torch.no_grad():
logits, _ = model(x)
print("Input shape :", x.shape)
print("Logits shape:", logits.shape) # should be (2, 16, vocab_size)
|