File size: 13,629 Bytes
a15230d | 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 | """
Decoder-only Transformer with RoPE positional encoding.
Target: ~30M parameters.
Architecture choices (informed by MobileLLM paper + Vizuara results):
- d_model = 512, n_layers = 4 β ~30M params
- n_heads = 8, head_dim = 64
- FFN: SwiGLU activation (d_ffn = 4 * d_model, but gated so 2/3 effective)
Actually: d_ffn = int(2/3 * 4 * d_model) rounded to nearest 64 β 1408
- RoPE positional encoding (no learned position embeddings)
- RMSNorm (no bias, more stable than LayerNorm for small models)
- No dropout during training (small model on small data, dropout hurts)
- Causal (autoregressive) mask
Parameter count breakdown (vocab=16000, d=512, layers=4):
Embedding: 16000 Γ 512 = 8.19M
Each layer:
Attention: 4 Γ 512 Γ 512 = 1.05M
FFN: 512Γ1408 + 1408Γ512 + 512Γ1408 = ~2.16M
Norms: 2 Γ 512 negligible
4 layers: 4 Γ 3.21M = 12.84M
Output head: tied to embedding = 0M (weight tying)
TOTAL: ~21M (with weight tying) β add unembedding = ~29M without
With weight tying (output = embedding.T): ~21M β we use this
This is standard practice for small models (GPT-2 style).
"""
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
from dataclasses import dataclass
# ββ Config ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class ModelConfig:
vocab_size: int = 16000
d_model: int = 512
n_layers: int = 4
n_heads: int = 8
n_kv_heads: int = 4 # GQA: 4 KV heads, 8 Q heads (reduces params)
max_seq_len: int = 512
# FFN hidden dim: SwiGLU convention = 2/3 * 4 * d_model, rounded to 64
d_ffn: int = 1408 # = round(2/3 * 4 * 512 / 64) * 64
# Regularization
dropout: float = 0.0 # set to 0.1 for fine-tuning if needed
# RoPE
rope_theta: float = 10000.0
def __post_init__(self):
assert self.d_model % self.n_heads == 0
assert self.n_heads % self.n_kv_heads == 0
self.head_dim = self.d_model // self.n_heads
self.n_rep = self.n_heads // self.n_kv_heads # for GQA repeat
# ββ RoPE βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def precompute_rope_freqs(head_dim: int, max_seq_len: int, theta: float = 10000.0):
"""
Precompute RoPE frequency tensor.
Returns: (max_seq_len, head_dim//2) complex tensor.
"""
freqs = 1.0 / (
theta ** (torch.arange(0, head_dim, 2).float() / head_dim)
)
t = torch.arange(max_seq_len)
freqs = torch.outer(t, freqs)
return torch.polar(torch.ones_like(freqs), freqs) # complex
def apply_rope(x: torch.Tensor, freqs: torch.Tensor) -> torch.Tensor:
"""
Apply RoPE to query or key tensor.
x: (batch, seq_len, n_heads, head_dim)
freqs: (seq_len, head_dim//2) complex
"""
# Reshape to pairs for complex multiplication
x_r = x.float().reshape(*x.shape[:-1], -1, 2)
x_c = torch.view_as_complex(x_r)
freqs = freqs[:x.shape[1]].unsqueeze(0).unsqueeze(2) # (1, seq, 1, dim//2)
x_out = torch.view_as_real(x_c * freqs).flatten(-2)
return x_out.type_as(x)
# ββ RMSNorm βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class RMSNorm(nn.Module):
def __init__(self, d_model: int, eps: float = 1e-6):
super().__init__()
self.weight = nn.Parameter(torch.ones(d_model))
self.eps = eps
def forward(self, x: torch.Tensor) -> torch.Tensor:
norm = x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps)
return norm * self.weight
# ββ Attention βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class GroupedQueryAttention(nn.Module):
def __init__(self, cfg: ModelConfig):
super().__init__()
self.n_heads = cfg.n_heads
self.n_kv_heads = cfg.n_kv_heads
self.n_rep = cfg.n_rep
self.head_dim = cfg.head_dim
self.d_model = cfg.d_model
self.Wq = nn.Linear(cfg.d_model, cfg.n_heads * cfg.head_dim, bias=False)
self.Wk = nn.Linear(cfg.d_model, cfg.n_kv_heads * cfg.head_dim, bias=False)
self.Wv = nn.Linear(cfg.d_model, cfg.n_kv_heads * cfg.head_dim, bias=False)
self.Wo = nn.Linear(cfg.n_heads * cfg.head_dim, cfg.d_model, bias=False)
self.dropout = nn.Dropout(cfg.dropout)
def forward(
self,
x: torch.Tensor, # (B, T, d_model)
freqs: torch.Tensor, # (T, head_dim//2) complex
mask: torch.Tensor | None = None, # (T, T) causal mask
) -> torch.Tensor:
B, T, _ = x.shape
q = self.Wq(x).view(B, T, self.n_heads, self.head_dim)
k = self.Wk(x).view(B, T, self.n_kv_heads, self.head_dim)
v = self.Wv(x).view(B, T, self.n_kv_heads, self.head_dim)
# RoPE
q = apply_rope(q, freqs)
k = apply_rope(k, freqs)
# GQA: repeat K/V to match Q heads
if self.n_rep > 1:
k = k.repeat_interleave(self.n_rep, dim=2)
v = v.repeat_interleave(self.n_rep, dim=2)
# Attention: (B, n_heads, T, head_dim)
q = q.transpose(1, 2)
k = k.transpose(1, 2)
v = v.transpose(1, 2)
# Use PyTorch's flash attention when available (much faster on GPU)
if hasattr(F, "scaled_dot_product_attention"):
# is_causal=True handles the mask automatically and uses FlashAttention
out = F.scaled_dot_product_attention(
q, k, v,
attn_mask=None,
dropout_p=self.dropout.p if self.training else 0.0,
is_causal=True,
)
else:
scale = self.head_dim ** -0.5
scores = torch.matmul(q, k.transpose(-2, -1)) * scale
if mask is not None:
scores = scores + mask
scores = F.softmax(scores.float(), dim=-1).type_as(q)
scores = self.dropout(scores)
out = torch.matmul(scores, v)
# Merge heads
out = out.transpose(1, 2).contiguous().view(B, T, -1)
return self.Wo(out)
# ββ SwiGLU FFN ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class SwiGLUFFN(nn.Module):
def __init__(self, cfg: ModelConfig):
super().__init__()
self.gate = nn.Linear(cfg.d_model, cfg.d_ffn, bias=False)
self.up = nn.Linear(cfg.d_model, cfg.d_ffn, bias=False)
self.down = nn.Linear(cfg.d_ffn, cfg.d_model, bias=False)
self.dropout = nn.Dropout(cfg.dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.dropout(self.down(F.silu(self.gate(x)) * self.up(x)))
# ββ Transformer Block βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class TransformerBlock(nn.Module):
def __init__(self, cfg: ModelConfig):
super().__init__()
self.attn_norm = RMSNorm(cfg.d_model)
self.attn = GroupedQueryAttention(cfg)
self.ffn_norm = RMSNorm(cfg.d_model)
self.ffn = SwiGLUFFN(cfg)
def forward(
self,
x: torch.Tensor,
freqs: torch.Tensor,
mask: torch.Tensor | None = None,
) -> torch.Tensor:
# Pre-norm (LLaMA style)
x = x + self.attn(self.attn_norm(x), freqs, mask)
x = x + self.ffn(self.ffn_norm(x))
return x
# ββ Full Model ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class TinyIndianLM(nn.Module):
def __init__(self, cfg: ModelConfig):
super().__init__()
self.cfg = cfg
self.embedding = nn.Embedding(cfg.vocab_size, cfg.d_model, padding_idx=0)
self.layers = nn.ModuleList([TransformerBlock(cfg) for _ in range(cfg.n_layers)])
self.norm = RMSNorm(cfg.d_model)
self.output = nn.Linear(cfg.d_model, cfg.vocab_size, bias=False)
# Weight tying: output projection shares weights with embedding
self.output.weight = self.embedding.weight
# Precompute RoPE frequencies (register as buffer β moves to device)
freqs = precompute_rope_freqs(cfg.head_dim, cfg.max_seq_len, cfg.rope_theta)
self.register_buffer("rope_freqs", freqs, persistent=False)
# Causal mask (optional fallback when not using F.scaled_dot_product_attention)
mask = torch.full((cfg.max_seq_len, cfg.max_seq_len), float("-inf"))
mask = torch.triu(mask, diagonal=1)
self.register_buffer("causal_mask", mask, persistent=False)
# Init weights
self.apply(self._init_weights)
# Scale residual projections (GPT-2 style)
for pn, p in self.named_parameters():
if pn.endswith(("Wo.weight", "down.weight")):
nn.init.normal_(p, mean=0.0, std=0.02 / math.sqrt(2 * cfg.n_layers))
def _init_weights(self, module):
if isinstance(module, nn.Linear):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
if module.bias is not None:
nn.init.zeros_(module.bias)
elif isinstance(module, nn.Embedding):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
def forward(
self,
input_ids: torch.Tensor, # (B, T)
targets: torch.Tensor | None = None, # (B, T) for training
pad_id: int = 0,
) -> tuple[torch.Tensor, torch.Tensor | None]:
B, T = input_ids.shape
assert T <= self.cfg.max_seq_len, f"Sequence length {T} > max {self.cfg.max_seq_len}"
x = self.embedding(input_ids) # (B, T, d_model)
freqs = self.rope_freqs[:T]
for layer in self.layers:
x = layer(x, freqs)
x = self.norm(x)
logits = self.output(x) # (B, T, vocab_size)
loss = None
if targets is not None:
# Shift: predict token[i+1] from token[i]
# input: [BOS, t1, t2, ..., tN, EOS]
# targets: [t1, t2, ..., tN, EOS, PAD]
# But we already have aligned input/target from dataloader
# Mask out PAD tokens in the loss
loss = F.cross_entropy(
logits.view(-1, self.cfg.vocab_size),
targets.view(-1),
ignore_index=pad_id,
)
return logits, loss
@torch.no_grad()
def generate(
self,
input_ids: torch.Tensor, # (1, T) prompt
max_new_tokens: int = 200,
temperature: float = 1.0,
top_k: int = 50,
eos_id: int = 3,
pad_id: int = 0,
) -> list[int]:
self.eval()
generated = input_ids.tolist()[0]
for _ in range(max_new_tokens):
ids_tensor = torch.tensor([generated], device=input_ids.device)
# Truncate to max_seq_len
if ids_tensor.shape[1] > self.cfg.max_seq_len:
ids_tensor = ids_tensor[:, -self.cfg.max_seq_len:]
logits, _ = self.forward(ids_tensor)
logits = logits[0, -1, :] / temperature # (vocab_size,)
# Remove PAD from generation
logits[pad_id] = float("-inf")
# Top-k sampling
if top_k > 0:
top_vals, _ = torch.topk(logits, min(top_k, logits.size(-1)))
logits[logits < top_vals[-1]] = float("-inf")
probs = F.softmax(logits, dim=-1)
next_id = torch.multinomial(probs, num_samples=1).item()
generated.append(next_id)
if next_id == eos_id:
break
return generated
def num_parameters(self, exclude_embeddings: bool = False) -> int:
if exclude_embeddings:
return sum(p.numel() for n, p in self.named_parameters()
if "embedding" not in n and p.requires_grad)
return sum(p.numel() for p in self.parameters() if p.requires_grad)
# ββ Quick test ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
if __name__ == "__main__":
cfg = ModelConfig()
model = TinyIndianLM(cfg)
total = model.num_parameters()
print(f"Model config: d_model={cfg.d_model}, n_layers={cfg.n_layers}, "
f"n_heads={cfg.n_heads}, d_ffn={cfg.d_ffn}")
print(f"Total parameters: {total:,} ({total/1e6:.1f}M)")
# Forward pass test
B, T = 2, 64
x = torch.randint(0, cfg.vocab_size, (B, T))
logits, loss = model(x, targets=x)
print(f"Logits shape: {logits.shape}")
print(f"Initial loss (should be ~ln({cfg.vocab_size})={math.log(cfg.vocab_size):.2f}): {loss.item():.4f}")
|