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train_gpt.py
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import os
import sys
with open(sys.argv[0]) as f:
code = f.read() # read the code of this file ASAP, for logging
import uuid
import time
from dataclasses import dataclass
from functools import lru_cache
from pathlib import Path
os.environ["PYTORCH_CUDA_ALLOC_CONF"] = "expandable_segments:True"
import torch
torch.empty(1, device="cuda", requires_grad=True).backward() # prevents a bug on some systems
from torch import Tensor, nn
import torch.nn.functional as F
import torch.distributed as dist
# use of FlexAttention contributed by @KoszarskyB
from torch.nn.attention.flex_attention import BlockMask, flex_attention
torch._inductor.config.coordinate_descent_tuning = True # turn this off for a faster compile time (but slightly slower run)
# -----------------------------------------------------------------------------
# Custom operators : FP8 matmul for lm_head by @YouJiacheng
@torch.library.custom_op("nanogpt::mm", mutates_args=())
def mm_op(x: Tensor, w: Tensor, x_s: float, w_s: float, grad_s: float) -> tuple[Tensor, Tensor, Tensor]:
@torch.compile
def impl(x: Tensor, w: Tensor):
assert x.is_contiguous() and w.is_contiguous()
x_f8 = x.mul(x_s).to(torch.float8_e4m3fn)
w_f8 = w.mul(w_s).to(torch.float8_e4m3fn)
out = torch._scaled_mm(
x_f8,
w_f8.t(),
out_dtype=torch.bfloat16,
scale_a=x.new_tensor(1 / x_s, dtype=torch.float32),
scale_b=x.new_tensor(1 / w_s, dtype=torch.float32),
use_fast_accum=True,
)
return out, x_f8, w_f8
return impl(x, w)
@mm_op.register_fake
def _(x: Tensor, w: Tensor, *_):
assert x.ndim == w.ndim == 2
assert x.shape[1] == w.shape[1]
assert x.device == w.device
assert x.is_contiguous() and w.is_contiguous()
return x @ w.t(), x.to(torch.float8_e4m3fn), w.to(torch.float8_e4m3fn)
@torch.library.custom_op("nanogpt::mm_backward", mutates_args=())
def mm_backward_op(g: Tensor, x_f8: Tensor, w_f8: Tensor, x_s: float, w_s: float, grad_s: float) -> tuple[Tensor, Tensor]:
@torch.compile
def impl(grad: Tensor, x_f8: Tensor, w_f8: Tensor):
assert grad.is_contiguous()
x_inv_s = grad.new_tensor(1 / x_s, dtype=torch.float32)
w_inv_s = grad.new_tensor(1 / w_s, dtype=torch.float32)
grad_inv_s = grad.new_tensor(1 / grad_s, dtype=torch.float32)
grad_f8 = grad.mul(grad_s).to(torch.float8_e5m2)
grad_x = torch._scaled_mm(
grad_f8,
w_f8.t().contiguous().t(),
out_dtype=torch.bfloat16,
scale_a=grad_inv_s,
scale_b=w_inv_s,
use_fast_accum=False,
)
# faster than grad_f8_t @ x_f8, for (d_out, d_in) == (50304, 768)
grad_w = torch._scaled_mm(
x_f8.t().contiguous(),
grad_f8.t().contiguous().t(),
out_dtype=torch.float32,
scale_a=x_inv_s,
scale_b=grad_inv_s,
use_fast_accum=False,
).t()
return grad_x, grad_w
return impl(g, x_f8, w_f8)
@mm_backward_op.register_fake
def _(g: Tensor, x_f8: Tensor, w_f8: Tensor, *_):
return x_f8.to(torch.bfloat16), w_f8.to(torch.float32)
def backward(ctx, grad_out: Tensor, *_):
x_f8, w_f8 = ctx.saved_tensors
x_s, w_s, grad_s = ctx.scales
grad_x, grad_w = torch.ops.nanogpt.mm_backward(
grad_out, x_f8, w_f8, x_s, w_s, grad_s
)
return grad_x, grad_w, None, None, None
def setup_context(ctx: torch.autograd.function.FunctionCtx, inputs, output):
*_, x_s, w_s, grad_s = inputs
_, x_f8, w_f8 = output
ctx.save_for_backward(x_f8, w_f8)
ctx.scales = x_s, w_s, grad_s
ctx.set_materialize_grads(False)
mm_op.register_autograd(backward, setup_context=setup_context)
def lm_head_fp8(x: Tensor, w: Tensor) -> Tensor:
_x = x.flatten(0, -2)
out: Tensor = torch.ops.nanogpt.mm(_x, w, x_s=2.0, w_s=32.0, grad_s=2.0**29)[0]
return out.reshape(*x.shape[:-1], -1)
# -----------------------------------------------------------------------------
# Muon optimizer
@torch.compile
def zeropower_via_newtonschulz5(G: Tensor, steps: int) -> Tensor:
"""
Newton-Schulz iteration to compute the zeroth power / orthogonalization of G. We opt to use a
quintic iteration whose coefficients are selected to maximize the slope at zero. For the purpose
of minimizing steps, it turns out to be empirically effective to keep increasing the slope at
zero even beyond the point where the iteration no longer converges all the way to one everywhere
on the interval. This iteration therefore does not produce UV^T but rather something like US'V^T
where S' is diagonal with S_{ii}' ~ Uniform(0.5, 1.5), which turns out not to hurt model
performance at all relative to UV^T, where USV^T = G is the SVD.
"""
assert G.ndim >= 2 # batched Muon implementation by @scottjmaddox, and put into practice in the record by @YouJiacheng
a, b, c = (3.4445, -4.7750, 2.0315)
X = G.bfloat16()
if G.size(-2) > G.size(-1):
X = X.mT
# Ensure spectral norm is at most 1
X = X / (X.norm(dim=(-2, -1), keepdim=True) + 1e-7)
# Perform the NS iterations
for _ in range(steps):
A = X @ X.mT
B = b * A + c * A @ A # quintic computation strategy adapted from suggestion by @jxbz, @leloykun, and @YouJiacheng
X = a * X + B @ X
if G.size(-2) > G.size(-1):
X = X.mT
return X
class Muon(torch.optim.Optimizer):
"""
Muon - MomentUm Orthogonalized by Newton-schulz
Muon internally runs standard SGD-momentum, and then performs an orthogonalization post-
processing step, in which each 2D parameter's update is replaced with the nearest orthogonal
matrix. To efficiently orthogonalize each update, we use a Newton-Schulz iteration, which has
the advantage that it can be stably run in bfloat16 on the GPU.
Some warnings:
- This optimizer assumes that all parameters passed in are 2D.
- It should not be used for the embedding layer, the final fully connected layer, or any {0,1}-D
parameters; those should all be optimized by a standard method (e.g., AdamW).
- To use it with 4D convolutional filters, it works well to just flatten their last 3 dimensions.
- We believe it is unlikely to work well for training with small batch size.
- We believe it may not work well for finetuning pretrained models, but we haven"t tested this.
- We have not yet tried this optimizer for training scenarios larger than NanoGPT (124M).
Arguments:
lr: The learning rate used by the internal SGD.
momentum: The momentum used by the internal SGD.
nesterov: Whether to use Nesterov-style momentum in the internal SGD. (recommended)
ns_steps: The number of Newton-Schulz iteration steps to use.
"""
def __init__(self, params, lr=0.02, momentum=0.95, nesterov=True, ns_steps=5, rank=0, world_size=1):
self.rank = rank
self.world_size = world_size
defaults = dict(lr=lr, momentum=momentum, nesterov=nesterov, ns_steps=ns_steps)
params: list[Tensor] = [*params]
assert all(isinstance(p, Tensor) for p in params)
sizes = {p.numel() for p in params}
def create_update_buffer(size: int):
b = torch.empty(self.world_size, size, dtype=torch.bfloat16, device="cuda")
return dict(update_buffer=b, update_buffer_views=[b[i] for i in range(self.world_size)])
param_groups = [
dict(params=[p for p in params if p.numel() == size], **create_update_buffer(size)) for size in sizes]
super().__init__(param_groups, defaults)
@torch.no_grad()
def step(self):
for group in self.param_groups:
lr = group["lr"]
momentum = group["momentum"]
nesterov = group["nesterov"]
ns_steps = group["ns_steps"]
update_buffer = group["update_buffer"]
update_buffer_views: list[Tensor] = group["update_buffer_views"]
# generate weight updates in distributed fashion
params: list[Tensor] = group["params"]
handle = None
params_world = None
def update_prev(): # optimized Muon implementation contributed by @YouJiacheng
if params_world is None:
return
assert handle is not None
handle.wait()
for p_world, g_world in zip(params_world, update_buffer_views):
p_world.add_(
g_world.view_as(p_world),
alpha=-lr * max(1, p_world.size(-2) / p_world.size(-1)) ** 0.5,
)
for base_i in range(len(params))[::self.world_size]:
if base_i + self.rank < len(params):
p = params[base_i + self.rank]
g = p.grad
assert g is not None
state = self.state[p]
if "momentum_buffer" not in state:
state["momentum_buffer"] = torch.zeros_like(g)
buf: Tensor = state["momentum_buffer"]
buf.lerp_(g, 1 - momentum)
g = g.lerp_(buf, momentum) if nesterov else buf
g = zeropower_via_newtonschulz5(g, steps=ns_steps).flatten()
else:
g = update_buffer_views[self.rank]
update_prev() # async all_gather instead of sync all_reduce by @YouJiacheng
handle = dist.all_gather_into_tensor(update_buffer, g, async_op=True)
params_world = params[base_i : base_i + self.world_size]
update_prev()
# -----------------------------------------------------------------------------
# PyTorch nn.Module definitions for the model
def norm(x):
return F.rms_norm(x, (x.size(-1),))
class CastedLinear(nn.Linear):
def __init__(self, in_features: int, out_features: int):
super().__init__(in_features, out_features, bias=False)
def reset_parameters(self) -> None:
std = 0.5 * (self.in_features ** -0.5) # 0.5 is a bit better than the default 1/sqrt(3)
bound = (3 ** 0.5) * std
with torch.no_grad():
self.weight.uniform_(-bound, bound)
def forward(self, x):
return F.linear(x, self.weight.type_as(x))
class Rotary(nn.Module):
def __init__(self, dim: int, max_seq_len=65536):
super().__init__()
# half-truncate RoPE by @YouJiacheng (w/ base freq tuning)
angular_freq = (1 / 1024) ** torch.linspace(0, 1, steps=dim//4, dtype=torch.float32)
angular_freq = torch.cat([angular_freq, angular_freq.new_zeros(dim//4)])
t = torch.arange(max_seq_len, dtype=torch.float32)
theta = torch.einsum("i,j -> ij", t, angular_freq)
self.cos = nn.Buffer(theta.cos(), persistent=False)
self.sin = nn.Buffer(theta.sin(), persistent=False)
def forward(self, x_BTHD: Tensor):
assert self.cos.size(0) >= x_BTHD.size(-3)
cos, sin = self.cos[None, :x_BTHD.size(-3), None, :], self.sin[None, :x_BTHD.size(-3), None, :]
x1, x2 = x_BTHD.to(dtype=torch.float32).chunk(2, dim=-1)
y1 = x1 * cos + x2 * sin
y2 = x1 * (-sin) + x2 * cos
return torch.cat((y1, y2), 3).type_as(x_BTHD)
class CausalSelfAttention(nn.Module):
def __init__(self, dim: int, num_heads: int, layer_idx: int):
super().__init__()
assert dim % num_heads == 0
self.num_heads = num_heads
std = 0.5 * (dim ** -0.5)
bound = (3 ** 0.5) * std # improved init scale by @YouJiacheng
# merged QKV weights: suggested by many, implemented by @fernbear.bsky.social, and further improved by @YouJiacheng
# https://x.com/hi_tysam/status/1879699187107033311
self.qkv_w = nn.Parameter(torch.empty(3, dim, dim).uniform_(-bound, bound))
self.lambdas = nn.Parameter(torch.tensor([0.5, 0.5]))
self.rotary = Rotary(dim // num_heads) # dim // num_heads = head_dim
self.c_proj = CastedLinear(dim, dim)
self.c_proj.weight.detach().zero_() # zero init suggested by @Grad62304977
# scale the attention logits by given constant, instead of the default head_dim**-0.5, by @leloykun
# inspired by learnable scalars used by @brendanh0gan https://x.com/hi_tysam/status/1879693583898591283
self.attn_scale = 0.12
def forward(self, x: Tensor, ve: Tensor | None, block_mask: BlockMask):
B, T = x.size(0), x.size(1) # batch size, sequence length
assert B == 1, "Must use batch size = 1 for FlexAttention"
q, k, v = F.linear(x, self.qkv_w.flatten(end_dim=1).type_as(x)).view(B, T, 3*self.num_heads, -1).chunk(3, dim=-2)
if ve is not None:
v = self.lambdas[0] * v + self.lambdas[1] * ve.view_as(v) # @KoszarskyB & @Grad62304977
else: # skip mid-layers token value embeddings by @YouJiacheng
v = self.lambdas[0] * v
q, k = norm(q), norm(k) # QK norm @Grad62304977
q, k = self.rotary(q), self.rotary(k)
y = flex_attention(q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2), block_mask=block_mask, scale=self.attn_scale)
y = y.transpose(1, 2).contiguous().view_as(x) # re-assemble all head outputs side by side
y = self.c_proj(y)
return y
class MLP(nn.Module):
def __init__(self, dim):
super().__init__()
self.c_fc = CastedLinear(dim, 4 * dim)
self.c_proj = CastedLinear(4 * dim, dim)
self.c_proj.weight.detach().zero_() # zero init suggested by @Grad62304977
def forward(self, x):
x = self.c_fc(x)
x = F.relu(x).square() # https://arxiv.org/abs/2109.08668v2; ~1-2% better than GELU; suggested by @SKYLINEZ007 and @Grad62304977
x = self.c_proj(x)
return x
class Block(nn.Module):
def __init__(self, model_dim: int, num_heads: int, layer_idx: int):
super().__init__()
# skip attention of blocks.7 (the 8th layer) by @YouJiacheng
self.attn = CausalSelfAttention(model_dim, num_heads, layer_idx) if layer_idx != 7 else None
self.mlp = MLP(model_dim)
self.lambdas = nn.Parameter(torch.tensor([1., 0.]))
def forward(self, x, ve, x0, block_mask):
x = self.lambdas[0] * x + self.lambdas[1] * x0
if self.attn is not None:
x = x + self.attn(norm(x), ve, block_mask)
x = x + self.mlp(norm(x))
return x
class ValueEmbedding(nn.Module):
def __init__(self, num_embeddings: int, embedding_dim: int):
super().__init__()
self.embed = nn.ModuleList([nn.Embedding(num_embeddings, embedding_dim) for _ in range(3)])
def forward(self, input_seq) -> list[Tensor | None]:
ve = [emb(input_seq) for emb in self.embed]
# 012 ... 012 structure on token value embeddings by @YouJiacheng, improved on @leloykun's U-net structure
ve = [ve[0], ve[1], ve[2], None, None, None, None, None, None, ve[0], ve[1], ve[2]]
return ve
# -----------------------------------------------------------------------------
# The main model
def next_multiple_of_n(v: float | int, *, n: int):
return next(x for x in range(n, int(v) + 1 + n, n) if x >= v)
class GPT(nn.Module):
def __init__(self, vocab_size: int, num_layers: int, num_heads: int, model_dim: int):
super().__init__()
self.embed = nn.Embedding(vocab_size, model_dim)
# token value embeddings by @KoszarskyB - inspired by @Grad62304977's value residual implementation following https://arxiv.org/abs/2410.17897
self.value_embeds = ValueEmbedding(vocab_size, model_dim)
self.blocks = nn.ModuleList([Block(model_dim, num_heads, layer_idx) for layer_idx in range(num_layers)])
# U-net design by @brendanh0gan
self.num_encoder_layers = num_layers // 2 # Half of the layers for encoder
self.num_decoder_layers = num_layers - self.num_encoder_layers # Remaining for decoder
# Add learnable skip connection weights for decoder layers
self.skip_weights = nn.Parameter(torch.ones(self.num_decoder_layers))
# there are only 50257 unique GPT-2 tokens; we extend to nearest multiple of 128 for efficiency.
# suggested to me by @Grad62304977. this originates from Karpathy's experiments.
self.lm_head = CastedLinear(model_dim, next_multiple_of_n(vocab_size, n=128))
self.lm_head.weight.detach().zero_() # @Grad62304977
def forward(self, input_seq: Tensor, target_seq: Tensor, sliding_window_num_blocks: Tensor):
BLOCK_SIZE = 128
assert input_seq.ndim == 1
assert len(input_seq) % BLOCK_SIZE == 0
NUM_BLOCKS = len(input_seq) // BLOCK_SIZE
docs = (input_seq == 50256).cumsum(0)
docs_low = docs.view(-1, BLOCK_SIZE)[:, 0].contiguous()
docs_high = docs.view(-1, BLOCK_SIZE)[:, -1].contiguous()
def document_causal(b, h, q_idx, kv_idx):
causal_mask = q_idx >= kv_idx
document_mask = docs[q_idx] == docs[kv_idx]
return causal_mask & document_mask
def dense_to_ordered(dense_mask: Tensor):
num_blocks = dense_mask.sum(dim=-1, dtype=torch.int32)
indices = dense_mask.argsort(dim=-1, descending=False, stable=True).flip(-1).to(torch.int32)
return num_blocks[None, None].contiguous(), indices[None, None].contiguous()
# manual block mask creation by @YouJiacheng
def create_doc_swc_block_masks(sliding_window_num_blocks: Tensor):
kv_idx = block_idx = torch.arange(NUM_BLOCKS, dtype=torch.int32, device="cuda")
q_idx = block_idx[:, None]
causal_bm = q_idx >= kv_idx
causal_full_bm = q_idx > kv_idx
document_bm = (docs_low[:, None] <= docs_high) & (docs_low <= docs_high[:, None])
document_full_bm = (docs_low[:, None] == docs_high) & (docs_low == docs_high[:, None])
nonzero_bm = causal_bm & document_bm
full_bm = causal_full_bm & document_full_bm
kv_num_blocks, kv_indices = dense_to_ordered(nonzero_bm & ~full_bm)
full_kv_num_blocks, full_kv_indices = dense_to_ordered(full_bm)
def build_bm(sw_num_blocks: Tensor) -> BlockMask:
return BlockMask.from_kv_blocks(
torch.clamp_max(kv_num_blocks, torch.clamp_min(sw_num_blocks - full_kv_num_blocks, 1)),
kv_indices,
torch.clamp_max(full_kv_num_blocks, sw_num_blocks - 1),
full_kv_indices,
BLOCK_SIZE=BLOCK_SIZE,
mask_mod=document_causal,
)
return build_bm(sliding_window_num_blocks), build_bm(sliding_window_num_blocks // 2)
# Long-short SWA block masks by @leloykun & @YouJiacheng, adapated from suggestion by @Grad62304977, following Gemma 2 paper
long_bm, short_bm = create_doc_swc_block_masks(sliding_window_num_blocks)
x = x0 = norm(self.embed(input_seq)[None]) # use of norm here by @Grad62304977
ve = self.value_embeds(input_seq)
assert len(ve) == len(self.blocks)
ve_enc, ve_dec = ve[:self.num_encoder_layers], ve[self.num_encoder_layers:]
assert len(ve_enc) == self.num_encoder_layers and len(ve_dec) == self.num_decoder_layers
# Store outputs for U-Net skip connections
skip_connections = []
# Encoder pass - process only the first half of the blocks
block_masks = [long_bm, short_bm, short_bm, short_bm, long_bm, short_bm]
for i in range(self.num_encoder_layers):
x = self.blocks[i](x, ve_enc[i], x0, block_masks[i])
skip_connections.append(x)
# Decoder pass - process the remaining blocks with weighted skip connections
block_masks.reverse()
for i in range(self.num_decoder_layers):
x = x + self.skip_weights[i] * skip_connections.pop()
x = self.blocks[self.num_encoder_layers + i](x, ve_dec[i], x0, block_masks[i])
x = norm(x)
logits = lm_head_fp8(x, self.lm_head.weight) if self.training else self.lm_head(x)
# @Grad62304977 added tanh softcapping following Gemma 2 paper, @KoszarskyB reduced it from 30 to 15, @YouJiacheng shifted it by +15 (2*sigmoid(2*x)=tanh(x)+1)
logits = 30 * torch.sigmoid(logits.float() / 7.5)
loss = F.cross_entropy(logits.view(-1, logits.size(-1)), target_seq)
return loss
# -----------------------------------------------------------------------------
# Our own simple Distributed Data Loader
def _load_data_shard(file: Path):
header = torch.from_file(f"{file}", False, 256, dtype=torch.int32) # header is 256 int32
assert header[0] == 20240520, "magic number mismatch in the data .bin file"
assert header[1] == 1, "unsupported version"
num_tokens = int(header[2]) # number of tokens (claimed)
with file.open("rb", buffering=0) as f:
tokens = torch.empty(num_tokens, dtype=torch.uint16, pin_memory=True) # avoid pin_memory copy by @YouJiacheng
f.seek(256 * 4)
nbytes = f.readinto(tokens.numpy()) # avoid bytes->array copy by @YouJiacheng
assert nbytes == 2 * num_tokens, "number of tokens read does not match header"
return tokens
def distributed_data_generator(filename_pattern: str, batch_size: int, rank : int, world_size : int):
files = sorted(Path.cwd().glob(filename_pattern))
assert batch_size % world_size == 0
local_batch_size = batch_size // world_size
file_iter = iter(files) # use itertools.cycle(files) instead if you want to do multi-epoch training
tokens, pos = _load_data_shard(next(file_iter)), 0
while True:
if pos + batch_size + 1 >= len(tokens):
tokens, pos = _load_data_shard(next(file_iter)), 0
buf = tokens[pos + rank * local_batch_size:][:local_batch_size + 1]
inputs = buf[:-1].to(device="cuda", dtype=torch.int32, non_blocking=True) # no sync on host side;
targets = buf[1:].to(device="cuda", dtype=torch.int64, non_blocking=True) # H2D in another stream isn"t helpful.
pos += batch_size
yield inputs, targets
# -----------------------------------------------------------------------------
# int main
@dataclass
class Hyperparameters:
# data
train_files = "data/fineweb10B/fineweb_train_*.bin" # input .bin to train on
val_files = "data/fineweb10B/fineweb_val_*.bin" # input .bin to eval validation loss on
val_tokens = 10485760 # how many tokens of validation data? it's important to keep this fixed for consistent comparisons
# optimization
batch_size = 8*64*1024 # batch size in tokens
num_iterations = 1393 # number of iterations to run
cooldown_frac = 0.4 # fraction of training spent cooling down the learning rate
# evaluation and logging
val_loss_every = 125 # every how many steps to evaluate val loss? 0 for only at the end
# implementation
seq_len = 64*1024 # FlexAttention sequence length
save_checkpoint = False
args = Hyperparameters()
# torchrun sets these env variables
rank = int(os.environ["RANK"])
world_size = int(os.environ["WORLD_SIZE"])
assert torch.cuda.is_available()
device = torch.device("cuda", int(os.environ["LOCAL_RANK"]))
torch.cuda.set_device(device)
dist.init_process_group(backend="nccl", device_id=device)
dist.barrier()
master_process = (rank == 0) # this process will do logging, checkpointing etc.
# begin logging
logfile = None
if master_process:
run_id = uuid.uuid4()
os.makedirs("logs", exist_ok=True)
logfile = f"logs/{run_id}.txt"
print(logfile)
def print0(s, console=False):
if master_process:
with open(logfile, "a") as f:
if console:
print(s)
print(s, file=f)
# begin by printing this file (the Python code)
print0(code)
print0("="*100)
# log information about the hardware/software environment this is running on
print0(f"Running Python {sys.version}")
print0(f"Running PyTorch {torch.version.__version__} compiled for CUDA {torch.version.cuda}")
def nvidia_smi():
import subprocess # avoid top level import
return subprocess.run(["nvidia-smi"], stdout=subprocess.PIPE, stderr=subprocess.PIPE, text=True).stdout
print0(nvidia_smi())
print0("="*100)
# load data
train_loader = distributed_data_generator(args.train_files, args.batch_size, rank, world_size)
model = GPT(vocab_size=50257, num_layers=12, num_heads=6, model_dim=768).cuda()
for m in model.modules():
if isinstance(m, nn.Embedding):
m.bfloat16()
for param in model.parameters():
dist.broadcast(param.detach(), 0)
# collect the parameters to optimize
hidden_matrix_params = [p for p in model.blocks.parameters() if p.ndim >= 2]
embed_params = [model.embed.weight, *model.value_embeds.parameters()]
scalar_params = [p for p in model.parameters() if p.ndim < 2]
head_params = [model.lm_head.weight]
# init the optimizer(s)
adam_params = [dict(params=head_params, lr=0.008), dict(params=embed_params, lr=0.6), dict(params=scalar_params, lr=0.04)]
# small adam epsilon by @YouJiacheng. this is an alternate method of fixing the world_size dependence
# discovered by @fernbear.bsky.social https://x.com/hi_tysam/status/1879692937589875094
optimizer1 = torch.optim.Adam(adam_params, betas=(0.8, 0.95), fused=True, eps=1e-10)
optimizer2 = Muon(hidden_matrix_params, lr=0.05, momentum=0.95, rank=rank, world_size=world_size)
optimizers = [optimizer1, optimizer2]
# learning rate schedule: stable then decay
def get_lr(it: int):
t = 1 - it / args.num_iterations # time remaining in training
assert 1 >= t >= 0
w = min(t / args.cooldown_frac, 1.0) # 1 -> 0
return w * 1.0 + (1 - w) * 0.1
schedulers = [torch.optim.lr_scheduler.LambdaLR(opt, get_lr) for opt in optimizers]
@lru_cache(1)
def sw_num_blks(window_size: int):
return torch.tensor(window_size // 128, dtype=torch.int32, pin_memory=True).cuda(non_blocking=True)
model: nn.Module = torch.compile(model)
training_time_ms = 0
# start the clock
torch.cuda.synchronize()
t0 = time.perf_counter()
# begin training
train_steps = args.num_iterations
for step in range(train_steps + 1):
last_step = (step == train_steps)
# This effectively ignores timing first 10 steps, which are slower for weird reasons.
# Alternately, and slightly more correctly in terms of benchmarking, we could do 10
# steps with dummy data first, and then re-initialize the model and reset the loader.
if step == 10:
training_time_ms = 0
t0 = time.perf_counter()
timed_steps = float("nan") if step <= 11 else (step - 10) + 1 # <= 11 to avoid bug in val
# Linearly increase the block-wise sliding window size over training 128 -> 1792:
# increase by @fernbear.bsky.social; block-wise by @YouJiacheng
window_size = next_multiple_of_n(1728 * step / train_steps, n=128)
# --------------- VALIDATION SECTION -----------------
if last_step or (args.val_loss_every > 0 and step % args.val_loss_every == 0):
# stop the clock
torch.cuda.synchronize()
training_time_ms += 1000 * (time.perf_counter() - t0)
model.eval()
val_bs = world_size * args.seq_len
assert args.val_tokens % val_bs == 0
val_steps = args.val_tokens // val_bs
val_loader = distributed_data_generator(args.val_files, val_bs, rank, world_size)
val_loss = 0
with torch.no_grad():
for _ in range(val_steps):
x, y = next(val_loader)
val_loss += model(x, y, sw_num_blks(window_size))
val_loss /= val_steps
del val_loader
dist.all_reduce(val_loss, op=dist.ReduceOp.AVG)
print0(f"step:{step}/{train_steps} val_loss:{val_loss:.4f} train_time:{training_time_ms:.0f}ms step_avg:{training_time_ms/(timed_steps-1):.2f}ms", console=True)
model.train()
# start the clock again
torch.cuda.synchronize()
t0 = time.perf_counter()
if last_step:
if master_process and args.save_checkpoint:
log = dict(step=step, code=code, model=model.state_dict(), optimizers=[opt.state_dict() for opt in optimizers])
os.makedirs(f"logs/{run_id}", exist_ok=True)
torch.save(log, f"logs/{run_id}/state_step{step:06d}.pt")
# the last step only has the validation loop, so break to avoid training
break
# --------------- TRAINING SECTION BEGIN -----------------
inputs, targets = next(train_loader)
for input_seq, target_seq in zip(inputs.split(args.seq_len), targets.split(args.seq_len)):
model(input_seq, target_seq, sw_num_blks(window_size)).backward()
for param in model.parameters():
dist.all_reduce(param.grad, op=dist.ReduceOp.AVG)
# momentum warmup for Muon
frac = min(step / 300, 1)
for group in optimizer2.param_groups:
group["momentum"] = (1 - frac) * 0.85 + frac * 0.95
# step the optimizers and schedulers
for opt, sched in zip(optimizers, schedulers):
opt.step()
sched.step()
# null the gradients
model.zero_grad(set_to_none=True)
# logging
approx_time = training_time_ms + 1000 * (time.perf_counter() - t0)
print0(f"step:{step+1}/{train_steps} train_time:{approx_time:.0f}ms step_avg:{approx_time/timed_steps:.2f}ms", console=True)
print0(
f"peak memory allocated: {torch.cuda.max_memory_allocated() // 1024 // 1024} MiB "
f"reserved: {torch.cuda.max_memory_reserved() // 1024 // 1024} MiB"
)
dist.destroy_process_group()