🚀 Refined BitTransformerLM: Organized codebase with best practices
Browse files
bit_transformer/BTLM_Extensions/muon_optimizer.py
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| 1 |
+
"""
|
| 2 |
+
Muon Optimizer for BitTransformerLM Extensions
|
| 3 |
+
==============================================
|
| 4 |
+
|
| 5 |
+
Implementation of the Muon optimizer with orthogonal momentum updates.
|
| 6 |
+
Based on "Muon: Momentum Orthogonalized by Newton's method" research.
|
| 7 |
+
|
| 8 |
+
Key features:
|
| 9 |
+
- Orthogonal momentum updates
|
| 10 |
+
- Better convergence properties than Adam/AdamW
|
| 11 |
+
- Memory efficient implementation
|
| 12 |
+
- Compatible with BitTransformerLM's training infrastructure
|
| 13 |
+
"""
|
| 14 |
+
|
| 15 |
+
import math
|
| 16 |
+
import torch
|
| 17 |
+
from torch.optim.optimizer import Optimizer
|
| 18 |
+
from typing import Any, Dict, List, Optional, Tuple, Union
|
| 19 |
+
import warnings
|
| 20 |
+
|
| 21 |
+
|
| 22 |
+
class Muon(Optimizer):
|
| 23 |
+
"""
|
| 24 |
+
Muon optimizer with orthogonal momentum updates.
|
| 25 |
+
|
| 26 |
+
This implementation provides momentum updates that are orthogonalized using
|
| 27 |
+
Newton's method, leading to more stable training dynamics.
|
| 28 |
+
|
| 29 |
+
Args:
|
| 30 |
+
params: Iterable of parameters to optimize
|
| 31 |
+
lr: Learning rate (default: 1e-3)
|
| 32 |
+
momentum: Momentum factor (default: 0.95)
|
| 33 |
+
nesterov: Enable Nesterov momentum (default: False)
|
| 34 |
+
backend: Backend for orthogonalization ('newtonschulz' or 'svd')
|
| 35 |
+
update_period: Period for updating orthogonalization (default: 1)
|
| 36 |
+
rank_deficiency_threshold: Threshold for rank deficiency detection
|
| 37 |
+
eps: Small constant for numerical stability (default: 1e-8)
|
| 38 |
+
weight_decay: Weight decay coefficient (default: 0.0)
|
| 39 |
+
"""
|
| 40 |
+
|
| 41 |
+
def __init__(
|
| 42 |
+
self,
|
| 43 |
+
params,
|
| 44 |
+
lr: float = 1e-3,
|
| 45 |
+
momentum: float = 0.95,
|
| 46 |
+
nesterov: bool = False,
|
| 47 |
+
backend: str = "newtonschulz",
|
| 48 |
+
update_period: int = 1,
|
| 49 |
+
rank_deficiency_threshold: float = 1e-6,
|
| 50 |
+
eps: float = 1e-8,
|
| 51 |
+
weight_decay: float = 0.0,
|
| 52 |
+
):
|
| 53 |
+
if not 0.0 <= lr:
|
| 54 |
+
raise ValueError(f"Invalid learning rate: {lr}")
|
| 55 |
+
if not 0.0 <= momentum <= 1.0:
|
| 56 |
+
raise ValueError(f"Invalid momentum value: {momentum}")
|
| 57 |
+
if not 0.0 <= weight_decay:
|
| 58 |
+
raise ValueError(f"Invalid weight_decay value: {weight_decay}")
|
| 59 |
+
if backend not in ["newtonschulz", "svd"]:
|
| 60 |
+
raise ValueError(f"Invalid backend: {backend}")
|
| 61 |
+
|
| 62 |
+
defaults = dict(
|
| 63 |
+
lr=lr,
|
| 64 |
+
momentum=momentum,
|
| 65 |
+
nesterov=nesterov,
|
| 66 |
+
backend=backend,
|
| 67 |
+
update_period=update_period,
|
| 68 |
+
rank_deficiency_threshold=rank_deficiency_threshold,
|
| 69 |
+
eps=eps,
|
| 70 |
+
weight_decay=weight_decay,
|
| 71 |
+
)
|
| 72 |
+
super().__init__(params, defaults)
|
| 73 |
+
|
| 74 |
+
def _orthogonalize_newtonschulz(self, matrix: torch.Tensor, num_iterations: int = 5) -> torch.Tensor:
|
| 75 |
+
"""Orthogonalize matrix using Newton-Schulz iteration."""
|
| 76 |
+
# Handle different shapes
|
| 77 |
+
original_shape = matrix.shape
|
| 78 |
+
if matrix.dim() > 2:
|
| 79 |
+
matrix = matrix.view(-1, matrix.shape[-1])
|
| 80 |
+
|
| 81 |
+
if matrix.shape[0] >= matrix.shape[1]:
|
| 82 |
+
# Tall matrix - orthogonalize columns
|
| 83 |
+
X = matrix.clone()
|
| 84 |
+
for _ in range(num_iterations):
|
| 85 |
+
A = X.T @ X
|
| 86 |
+
X = X @ (1.5 * torch.eye(A.shape[0], device=A.device, dtype=A.dtype) - 0.5 * A)
|
| 87 |
+
else:
|
| 88 |
+
# Wide matrix - orthogonalize rows
|
| 89 |
+
X = matrix.clone()
|
| 90 |
+
for _ in range(num_iterations):
|
| 91 |
+
A = X @ X.T
|
| 92 |
+
X = (1.5 * torch.eye(A.shape[0], device=A.device, dtype=A.dtype) - 0.5 * A) @ X
|
| 93 |
+
|
| 94 |
+
return X.view(original_shape)
|
| 95 |
+
|
| 96 |
+
def _orthogonalize_svd(self, matrix: torch.Tensor) -> torch.Tensor:
|
| 97 |
+
"""Orthogonalize matrix using SVD decomposition."""
|
| 98 |
+
original_shape = matrix.shape
|
| 99 |
+
if matrix.dim() > 2:
|
| 100 |
+
matrix = matrix.view(-1, matrix.shape[-1])
|
| 101 |
+
|
| 102 |
+
try:
|
| 103 |
+
U, _, Vt = torch.linalg.svd(matrix, full_matrices=False)
|
| 104 |
+
orthogonal = U @ Vt
|
| 105 |
+
return orthogonal.view(original_shape)
|
| 106 |
+
except torch._C._LinAlgError:
|
| 107 |
+
# Fallback to Newton-Schulz if SVD fails
|
| 108 |
+
warnings.warn("SVD failed, falling back to Newton-Schulz")
|
| 109 |
+
return self._orthogonalize_newtonschulz(matrix)
|
| 110 |
+
|
| 111 |
+
@torch.no_grad()
|
| 112 |
+
def step(self, closure=None):
|
| 113 |
+
"""Perform a single optimization step."""
|
| 114 |
+
loss = None
|
| 115 |
+
if closure is not None:
|
| 116 |
+
with torch.enable_grad():
|
| 117 |
+
loss = closure()
|
| 118 |
+
|
| 119 |
+
for group in self.param_groups:
|
| 120 |
+
for p in group["params"]:
|
| 121 |
+
if p.grad is None:
|
| 122 |
+
continue
|
| 123 |
+
|
| 124 |
+
grad = p.grad
|
| 125 |
+
if grad.dtype in {torch.float16, torch.bfloat16}:
|
| 126 |
+
grad = grad.float()
|
| 127 |
+
|
| 128 |
+
state = self.state[p]
|
| 129 |
+
|
| 130 |
+
# State initialization
|
| 131 |
+
if len(state) == 0:
|
| 132 |
+
state["step"] = 0
|
| 133 |
+
state["momentum_buffer"] = torch.zeros_like(p, memory_format=torch.preserve_format)
|
| 134 |
+
|
| 135 |
+
momentum_buffer = state["momentum_buffer"]
|
| 136 |
+
state["step"] += 1
|
| 137 |
+
|
| 138 |
+
# Weight decay
|
| 139 |
+
if group["weight_decay"] != 0:
|
| 140 |
+
grad = grad.add(p, alpha=group["weight_decay"])
|
| 141 |
+
|
| 142 |
+
# Apply momentum
|
| 143 |
+
momentum_buffer.mul_(group["momentum"]).add_(grad)
|
| 144 |
+
|
| 145 |
+
# Orthogonalize momentum every update_period steps
|
| 146 |
+
if state["step"] % group["update_period"] == 0 and momentum_buffer.numel() > 1:
|
| 147 |
+
# Only orthogonalize if we have sufficient dimensions
|
| 148 |
+
if momentum_buffer.dim() >= 2 and min(momentum_buffer.shape[-2:]) > 1:
|
| 149 |
+
if group["backend"] == "newtonschulz":
|
| 150 |
+
orthogonal_momentum = self._orthogonalize_newtonschulz(momentum_buffer)
|
| 151 |
+
else:
|
| 152 |
+
orthogonal_momentum = self._orthogonalize_svd(momentum_buffer)
|
| 153 |
+
|
| 154 |
+
# Check for rank deficiency
|
| 155 |
+
rank_ratio = torch.linalg.matrix_norm(orthogonal_momentum) / torch.linalg.matrix_norm(momentum_buffer)
|
| 156 |
+
if rank_ratio < group["rank_deficiency_threshold"]:
|
| 157 |
+
warnings.warn("Detected rank deficiency in momentum buffer")
|
| 158 |
+
else:
|
| 159 |
+
momentum_buffer.copy_(orthogonal_momentum)
|
| 160 |
+
|
| 161 |
+
# Apply Nesterov acceleration if enabled
|
| 162 |
+
if group["nesterov"]:
|
| 163 |
+
update = grad.add(momentum_buffer, alpha=group["momentum"])
|
| 164 |
+
else:
|
| 165 |
+
update = momentum_buffer
|
| 166 |
+
|
| 167 |
+
# Apply update
|
| 168 |
+
p.add_(update, alpha=-group["lr"])
|
| 169 |
+
|
| 170 |
+
return loss
|
| 171 |
+
|
| 172 |
+
|
| 173 |
+
def configure_muon_optimizer(
|
| 174 |
+
model: torch.nn.Module,
|
| 175 |
+
lr: float = 1e-3,
|
| 176 |
+
momentum: float = 0.95,
|
| 177 |
+
weight_decay: float = 0.01,
|
| 178 |
+
total_steps: Optional[int] = None,
|
| 179 |
+
warmup_ratio: float = 0.1,
|
| 180 |
+
nesterov: bool = False,
|
| 181 |
+
backend: str = "newtonschulz",
|
| 182 |
+
**muon_kwargs
|
| 183 |
+
) -> Tuple[Muon, Optional[torch.optim.lr_scheduler._LRScheduler]]:
|
| 184 |
+
"""
|
| 185 |
+
Configure Muon optimizer with OneCycle learning rate schedule.
|
| 186 |
+
|
| 187 |
+
This function provides a drop-in replacement for BitTransformerLM's
|
| 188 |
+
configure_optimizer function, using Muon instead of AdamW.
|
| 189 |
+
|
| 190 |
+
Args:
|
| 191 |
+
model: PyTorch model to optimize
|
| 192 |
+
lr: Peak learning rate
|
| 193 |
+
momentum: Momentum factor for Muon
|
| 194 |
+
weight_decay: Weight decay coefficient
|
| 195 |
+
total_steps: Total training steps for OneCycle schedule
|
| 196 |
+
warmup_ratio: Fraction of steps for warmup
|
| 197 |
+
nesterov: Enable Nesterov momentum
|
| 198 |
+
backend: Orthogonalization backend
|
| 199 |
+
**muon_kwargs: Additional arguments for Muon optimizer
|
| 200 |
+
|
| 201 |
+
Returns:
|
| 202 |
+
Tuple of (optimizer, scheduler)
|
| 203 |
+
"""
|
| 204 |
+
# Filter parameters that need weight decay
|
| 205 |
+
decay_params = []
|
| 206 |
+
no_decay_params = []
|
| 207 |
+
|
| 208 |
+
for name, param in model.named_parameters():
|
| 209 |
+
if not param.requires_grad:
|
| 210 |
+
continue
|
| 211 |
+
# Apply weight decay to weights but not biases/norms
|
| 212 |
+
if param.dim() >= 2:
|
| 213 |
+
decay_params.append(param)
|
| 214 |
+
else:
|
| 215 |
+
no_decay_params.append(param)
|
| 216 |
+
|
| 217 |
+
param_groups = [
|
| 218 |
+
{"params": decay_params, "weight_decay": weight_decay},
|
| 219 |
+
{"params": no_decay_params, "weight_decay": 0.0},
|
| 220 |
+
]
|
| 221 |
+
|
| 222 |
+
optimizer = Muon(
|
| 223 |
+
param_groups,
|
| 224 |
+
lr=lr,
|
| 225 |
+
momentum=momentum,
|
| 226 |
+
nesterov=nesterov,
|
| 227 |
+
backend=backend,
|
| 228 |
+
**muon_kwargs
|
| 229 |
+
)
|
| 230 |
+
|
| 231 |
+
scheduler = None
|
| 232 |
+
if total_steps is not None and total_steps > 0:
|
| 233 |
+
scheduler = torch.optim.lr_scheduler.OneCycleLR(
|
| 234 |
+
optimizer,
|
| 235 |
+
max_lr=lr,
|
| 236 |
+
total_steps=total_steps,
|
| 237 |
+
pct_start=warmup_ratio,
|
| 238 |
+
anneal_strategy='cos',
|
| 239 |
+
cycle_momentum=False, # Muon handles momentum internally
|
| 240 |
+
div_factor=25.0,
|
| 241 |
+
final_div_factor=1e4,
|
| 242 |
+
)
|
| 243 |
+
|
| 244 |
+
return optimizer, scheduler
|
| 245 |
+
|
| 246 |
+
|
| 247 |
+
def create_muon_training_config(
|
| 248 |
+
lr: float = 1e-3,
|
| 249 |
+
momentum: float = 0.95,
|
| 250 |
+
weight_decay: float = 0.01,
|
| 251 |
+
backend: str = "newtonschulz",
|
| 252 |
+
nesterov: bool = False,
|
| 253 |
+
**kwargs
|
| 254 |
+
) -> Dict[str, Any]:
|
| 255 |
+
"""
|
| 256 |
+
Create a training configuration dictionary for Muon optimizer.
|
| 257 |
+
|
| 258 |
+
This can be used with BitTransformerLM's training scripts by passing
|
| 259 |
+
the config to the training loop.
|
| 260 |
+
|
| 261 |
+
Args:
|
| 262 |
+
lr: Learning rate
|
| 263 |
+
momentum: Momentum factor
|
| 264 |
+
weight_decay: Weight decay coefficient
|
| 265 |
+
backend: Orthogonalization backend
|
| 266 |
+
nesterov: Enable Nesterov momentum
|
| 267 |
+
**kwargs: Additional configuration options
|
| 268 |
+
|
| 269 |
+
Returns:
|
| 270 |
+
Dictionary containing training configuration
|
| 271 |
+
"""
|
| 272 |
+
config = {
|
| 273 |
+
"optimizer_type": "muon",
|
| 274 |
+
"optimizer_config": {
|
| 275 |
+
"lr": lr,
|
| 276 |
+
"momentum": momentum,
|
| 277 |
+
"weight_decay": weight_decay,
|
| 278 |
+
"backend": backend,
|
| 279 |
+
"nesterov": nesterov,
|
| 280 |
+
**kwargs
|
| 281 |
+
},
|
| 282 |
+
"scheduler_type": "onecycle",
|
| 283 |
+
}
|
| 284 |
+
|
| 285 |
+
return config
|
| 286 |
+
|
| 287 |
+
|
| 288 |
+
# Example usage and integration helpers
|
| 289 |
+
def integrate_with_bittransformerlm():
|
| 290 |
+
"""
|
| 291 |
+
Example of how to integrate Muon optimizer with BitTransformerLM training.
|
| 292 |
+
|
| 293 |
+
Usage:
|
| 294 |
+
from BTLM_Extensions.muon_optimizer import configure_muon_optimizer
|
| 295 |
+
|
| 296 |
+
# Replace the standard optimizer configuration
|
| 297 |
+
optimizer, scheduler = configure_muon_optimizer(
|
| 298 |
+
model, lr=1e-3, momentum=0.95, total_steps=1000
|
| 299 |
+
)
|
| 300 |
+
|
| 301 |
+
# Use in training loop
|
| 302 |
+
train_loop(model, data, optimizer=optimizer, scheduler=scheduler)
|
| 303 |
+
"""
|
| 304 |
+
pass
|
| 305 |
+
|
| 306 |
+
|
| 307 |
+
if __name__ == "__main__":
|
| 308 |
+
# Simple test of the optimizer
|
| 309 |
+
import torch.nn as nn
|
| 310 |
+
|
| 311 |
+
model = nn.Sequential(
|
| 312 |
+
nn.Linear(10, 20),
|
| 313 |
+
nn.ReLU(),
|
| 314 |
+
nn.Linear(20, 1)
|
| 315 |
+
)
|
| 316 |
+
|
| 317 |
+
optimizer, scheduler = configure_muon_optimizer(model, lr=1e-3, total_steps=100)
|
| 318 |
+
|
| 319 |
+
# Simple training step
|
| 320 |
+
x = torch.randn(32, 10)
|
| 321 |
+
y = torch.randn(32, 1)
|
| 322 |
+
|
| 323 |
+
pred = model(x)
|
| 324 |
+
loss = nn.functional.mse_loss(pred, y)
|
| 325 |
+
loss.backward()
|
| 326 |
+
|
| 327 |
+
optimizer.step()
|
| 328 |
+
if scheduler:
|
| 329 |
+
scheduler.step()
|
| 330 |
+
|
| 331 |
+
print("Muon optimizer test completed successfully!")
|
| 332 |
+
print(f"Loss: {loss.item():.4f}")
|