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#!/usr/bin/env python3
"""
LeMath: LeJEPA-style fine-tuning for math reasoning LLMs.
Implements:
- Dataset: nvidia/OpenMathReasoning (cot split) (problem, generated_solution)
- Token injection:
immediately after <think>: <|jeton|> repeated with density 1 per N tokens (covers remainder)
- Objective:
total = decoding_loss
+ w_sigreg * LeJEPA SIGReg loss on jeton hidden states (via lejepa if installed)
+ w_cos * mean(1 - cosine(h_jeton_i, h_target_i)) for each i-th N token pairing
Uses a custom PyTorch training loop (not SFTTrainer) to access hidden states.
References:
- LLM-JEPA: https://arxiv.org/abs/2509.14252
- LeJEPA / SIGReg: https://arxiv.org/abs/2511.08544 and https://github.com/galilai-group/lejepa
- Unsloth Qwen3 guide: https://unsloth.ai/blog/qwen3
- Small batch training: https://arxiv.org/abs/2507.07101
- Dataset: https://huggingface.co/datasets/nvidia/OpenMathReasoning
"""
from __future__ import annotations
import argparse
import contextlib
import gc
import os
import random
import time
from typing import Any, Dict, Iterable, List, Optional, Tuple
from unsloth import FastLanguageModel # type: ignore
from datasets import load_dataset
# from unsloth_zoo.tokenizer_utils import add_new_tokens
# from unsloth_extensions import add_new_tokens
import lejepa
import torch
from transformers import Adafactor, get_cosine_schedule_with_warmup # type: ignore
from torch.utils.data import DataLoader
from data_utils import EncodedIterableDataset, encode_one_example, make_lemath_collate_fn
from loss_utils import compute_cos_loss, compute_sigreg_loss
def _is_oom_error(e: BaseException) -> bool:
s = str(e).lower()
return ("out of memory" in s) and ("cuda" in s or "cublas" in s or "hip" in s)
def _set_seed(seed: int) -> None:
random.seed(seed)
torch.manual_seed(seed)
torch.cuda.manual_seed_all(seed)
def _now_ts() -> str:
return time.strftime("%Y-%m-%d %H:%M:%S")
def parse_args() -> argparse.Namespace:
p = argparse.ArgumentParser(description="LeMath training (LeJEPA-style finetune).")
# Model
p.add_argument("--model_name_or_path", type=str, default="Qwen/Qwen3-14B")
p.add_argument("--max_seq_len", type=int, default=10240)
p.add_argument(
"--load_in_4bit",
action=argparse.BooleanOptionalAction,
default=True,
help="Load model in 4-bit. Recommended for Qwen3-14B; training will use LoRA adapters.",
)
p.add_argument(
"--use_lora",
action=argparse.BooleanOptionalAction,
default=True,
help="Use LoRA adapters for training (recommended; required for 4-bit).",
)
p.add_argument("--lora_r", type=int, default=64)
p.add_argument("--lora_alpha", type=int, default=128)
p.add_argument("--lora_dropout", type=float, default=0.0)
p.add_argument(
"--lora_target_modules",
type=str,
default="q_proj,k_proj,v_proj,o_proj,gate_proj,up_proj,down_proj",
help="Comma-separated module names to apply LoRA to.",
)
p.add_argument("--trust_remote_code", action="store_true")
p.add_argument("--gradient_checkpointing", action="store_true")
# Batching
p.add_argument("--microbatch", type=int, default=2, help="Per-step microbatch size (before grad accumulation).")
# Dataset
p.add_argument("--dataset_name", type=str, default="nvidia/OpenMathReasoning")
p.add_argument("--dataset_split", type=str, default="cot")
p.add_argument("--streaming", action=argparse.BooleanOptionalAction, default=True)
p.add_argument("--shuffle_buffer", type=int, default=10_000)
p.add_argument("--num_workers", type=int, default=0)
# Formatting
p.add_argument("--chat_format", action=argparse.BooleanOptionalAction, default=True, help="Use tokenizer chat template formatting.")
p.add_argument(
"--system_prompt",
type=str,
default=(
"You are a helpful math reasoning assistant.\n"
"Solve the user's problem.\n"
"Put the final answer in \\\\boxed{...}."
),
)
# The user message should be *only* the problem statement by default.
p.add_argument("--prompt_template", type=str, default="{problem}")
p.add_argument("--jeton_token", type=str, default="<|jeton|>")
p.add_argument(
"--tokens_per_jeton",
type=int,
default=8,
help="Inject 1 jeton per this many tokens inside the <think> region (covers remainder chunk).",
)
# Loss weights
p.add_argument("--w_sigreg", type=float, default=0.02)
p.add_argument("--w_cos", type=float, default=1.0)
p.add_argument("--w_decoding", type=float, default=1.0)
# SIGReg config (lejepa)
p.add_argument("--sigreg_num_points", type=int, default=17)
p.add_argument("--sigreg_num_slices", type=int, default=1024)
# Optim / schedule
p.add_argument("--optimizer", type=str, default="adafactor", choices=["adafactor"])
p.add_argument("--learning_rate", type=float, default=5e-5)
p.add_argument("--weight_decay", type=float, default=0.0)
p.add_argument("--warmup_steps", type=int, default=200)
p.add_argument("--max_steps", type=int, default=1000)
p.add_argument("--grad_accum", type=int, default=1)
p.add_argument("--max_grad_norm", type=float, default=1.0)
# Precision
p.add_argument("--bf16", action=argparse.BooleanOptionalAction, default=True)
# Kept only for backwards-compat; float16 is intentionally unsupported.
p.add_argument(
"--fp16",
action=argparse.BooleanOptionalAction,
default=False,
help="(deprecated) float16 is not supported; use --bf16 (or --no-bf16 for fp32).",
)
# IO / logging
p.add_argument("--output_dir", type=str, default="./out")
p.add_argument("--save_every", type=int, default=1000)
p.add_argument("--log_every", type=int, default=10)
p.add_argument(
"--wandb_project",
type=str,
default="",
help="If set, log training metrics to Weights & Biases under this project name.",
)
p.add_argument(
"--wandb-entity",
type=str,
default="",
help="Optional W&B entity/team. If empty, uses your default entity.",
)
p.add_argument(
"--wandb-run-id",
type=str,
default="",
help="Optional W&B run id to resume/attach to (e.g. 2ii557i5). Uses resume='allow'.",
)
p.add_argument(
"--wandb-name",
type=str,
default="",
help="Optional W&B run display name.",
)
p.add_argument(
"--wandb-log-checkpoints",
action=argparse.BooleanOptionalAction,
default=True,
help="If true, upload checkpoints as W&B Artifacts (only when --wandb-project is set).",
)
p.add_argument(
"--wandb-artifact-name",
type=str,
default="checkpoint",
help="Artifact base name (actual artifact name is '<base>-<run_id>' to avoid collisions).",
)
p.add_argument("--seed", type=int, default=1234)
p.add_argument("--train_on_last_pair", action=argparse.BooleanOptionalAction, default=True)
return p.parse_args()
def main() -> None:
args = parse_args()
_set_seed(args.seed)
os.makedirs(args.output_dir, exist_ok=True)
if args.fp16:
raise ValueError("--fp16 is no longer supported. Use --bf16 (recommended) or --no-bf16 for fp32.")
if args.load_in_4bit and not args.use_lora:
print(f"[{_now_ts()}] WARNING: --load_in_4bit requires adapters. Forcing --use_lora.", flush=True)
args.use_lora = True
# Tokens we want to inject / track during training.
special_tokens = [args.jeton_token]
# Environment hint (requested venv: /venv/main)
expected_venv = os.path.realpath("/venv/main")
active_venv = os.environ.get("VIRTUAL_ENV")
if active_venv is None:
print(f"[{_now_ts()}] WARNING: VIRTUAL_ENV is not set. Recommended to run with `{expected_venv}/bin/python`.", flush=True)
else:
if os.path.realpath(active_venv) != expected_venv:
print(
f"[{_now_ts()}] WARNING: active venv is `{os.path.realpath(active_venv)}`; "
f"recommended venv is `{expected_venv}`.",
flush=True,
)
# ---- Optional W&B logging (only if --wandb_project is provided)
wandb = None # type: ignore
wandb_run = None
if args.wandb_project:
try:
import wandb as _wandb # type: ignore
except Exception as e:
raise RuntimeError(
"Failed to import wandb. Install it (e.g. `pip install wandb`) or run without --wandb_project."
) from e
wandb = _wandb
wandb_init_kwargs: Dict[str, Any] = {"project": args.wandb_project, "config": vars(args)}
if args.wandb_entity:
wandb_init_kwargs["entity"] = args.wandb_entity
if args.wandb_run_id:
wandb_init_kwargs["id"] = args.wandb_run_id
wandb_init_kwargs["resume"] = "allow"
if args.wandb_name:
wandb_init_kwargs["name"] = args.wandb_name
wandb_run = wandb.init(**wandb_init_kwargs)
# ---- Load model/tokenizer via Unsloth (preferred), fallback to HF otherwise.
model, tokenizer = FastLanguageModel.from_pretrained(
model_name=args.model_name_or_path,
max_seq_length=args.max_seq_len,
dtype=torch.bfloat16 if args.bf16 else None,
load_in_4bit=args.load_in_4bit,
trust_remote_code=args.trust_remote_code,
)
print(f"[{_now_ts()}] Adding new tokens: {special_tokens}")
# add_new_tokens(model, tokenizer, new_tokens=special_tokens)
tokenizer.add_tokens(special_tokens)
if args.use_lora:
target_modules = [m.strip() for m in args.lora_target_modules.split(",") if m.strip()]
model = FastLanguageModel.get_peft_model(
model,
r=args.lora_r,
target_modules=target_modules,
lora_alpha=args.lora_alpha,
lora_dropout=args.lora_dropout,
bias="none",
use_gradient_checkpointing=args.gradient_checkpointing,
random_state=args.seed,
)
# Make sure we can train:
FastLanguageModel.for_training(model, use_gradient_checkpointing=args.gradient_checkpointing)
if tokenizer.pad_token is None:
# Qwen-style tokenizers often don't have a pad token.
tokenizer.pad_token = tokenizer.eos_token
jeton_id = tokenizer.convert_tokens_to_ids(args.jeton_token)
if jeton_id == tokenizer.unk_token_id:
raise RuntimeError("Failed to register jeton token with tokenizer.")
think_open_ids = tokenizer("<think>", add_special_tokens=False).input_ids
think_close_ids = tokenizer("</think>", add_special_tokens=False).input_ids
if not think_open_ids or not think_close_ids:
raise RuntimeError("Failed to tokenize <think> / </think> markers.")
if len(think_open_ids) != 1 or len(think_close_ids) != 1:
raise RuntimeError(
"Expected <think> and </think> to be single tokens. "
"Please ensure they are registered as special tokens in the tokenizer."
)
think_open_id = int(think_open_ids[0])
think_close_id = int(think_close_ids[0])
# Determine device from model (important for quantized / device_map='auto').
model_param_device = None
for p in model.parameters():
model_param_device = p.device
break
device = model_param_device or torch.device("cuda" if torch.cuda.is_available() else "cpu")
# Quantized / device-mapped models should not be moved manually.
if not args.load_in_4bit:
model.to(device)
if args.load_in_4bit and not args.use_lora:
raise RuntimeError("--load_in_4bit requires --use_lora in this training script.")
# Autocast setup (used by both preflight + training).
use_cuda = device.type == "cuda"
use_autocast = use_cuda and args.bf16
amp_dtype = torch.bfloat16
# ---- SIGReg loss function (LeJEPA) if installed, else fallback.
# LeJEPA's EppsPulley stores some tensors as plain attributes (not registered buffers),
# so a bare `.to(device)` may not move everything. We patch tensor attributes manually.
univariate_test = lejepa.univariate.EppsPulley(n_points=args.sigreg_num_points).to(device)
sigreg_fn = lejepa.multivariate.SlicingUnivariateTest(
univariate_test=univariate_test,
num_slices=args.sigreg_num_slices,
)
ds = load_dataset(args.dataset_name, split=args.dataset_split, streaming=args.streaming)
if args.streaming and args.shuffle_buffer > 0:
ds = ds.shuffle(buffer_size=args.shuffle_buffer, seed=args.seed)
def _encode(ex: Dict[str, Any]) -> Optional[Dict[str, Any]]:
return encode_one_example(
ex=ex,
prompt_template=args.prompt_template,
jeton_token=args.jeton_token,
jeton_id=jeton_id,
tokens_per_jeton=args.tokens_per_jeton,
max_seq_len=args.max_seq_len,
think_open_id=think_open_id,
think_close_id=think_close_id,
tokenizer=tokenizer,
system_prompt=args.system_prompt,
)
# We train any trainable model params (LoRA if enabled).
trainable_params = [p for p in model.parameters() if p.requires_grad]
total_param_count = sum(p.numel() for p in model.parameters())
trainable_param_count = sum(p.numel() for p in trainable_params)
pct_trainable = (100.0 * trainable_param_count / total_param_count) if total_param_count > 0 else 0.0
print(
f"[{_now_ts()}] params: trainable={trainable_param_count:,} / total={total_param_count:,} ({pct_trainable:.4f}%)",
flush=True,
)
if len(trainable_params) == 0:
raise RuntimeError(
"Model has 0 trainable parameters. If you loaded quantized weights, you likely need adapters; "
"this script is written for full fine-tuning."
)
opt = Adafactor(
trainable_params,
lr=args.learning_rate,
scale_parameter=False,
relative_step=False,
warmup_init=False,
weight_decay=args.weight_decay,
decay_rate=-1.2
)
sched = get_cosine_schedule_with_warmup(opt, num_warmup_steps=args.warmup_steps, num_training_steps=args.max_steps)
# Autocast:
# - bf16 autocast only (no float16)
model.train()
# ---- Training loop
step = 0
running = {"loss": 0.0, "decoding_loss": 0.0, "sigreg": 0.0, "cos": 0.0}
last_log = time.time()
def _wandb_log_checkpoint(ckpt_dir: str, tag: str, step_for_log: Optional[int]) -> None:
if wandb_run is None or wandb is None or (not args.wandb_log_checkpoints):
return
try:
# Keep the artifact name unique per-run, but versioned across checkpoints.
artifact_name = f"{args.wandb_artifact_name}-{wandb_run.id}"
artifact = wandb.Artifact(
name=artifact_name,
type="model",
metadata={
"tag": tag,
"step": int(step_for_log) if step_for_log is not None else None,
"output_dir": args.output_dir,
},
)
artifact.add_dir(ckpt_dir)
aliases = ["latest", tag]
wandb_run.log_artifact(artifact, aliases=aliases)
except Exception as e:
print(f"[{_now_ts()}] WARNING: failed to log checkpoint to W&B: {e}", flush=True)
def save_checkpoint(tag: str, *, step_for_log: Optional[int] = None) -> None:
print(f"[{_now_ts()}] Saving checkpoint to {args.output_dir}/{tag}")
out = os.path.join(args.output_dir, tag)
os.makedirs(out, exist_ok=True)
# Save model + tokenizer in HF format. (Unsloth model is still HF-compatible.)
model.save_pretrained(out)
tokenizer.save_pretrained(out)
_wandb_log_checkpoint(out, tag=tag, step_for_log=step_for_log)
microbatch = int(args.microbatch)
# Torch DataLoader over encoded streaming examples.
torch_ds = EncodedIterableDataset(ds, encode_fn=_encode)
dl = DataLoader(
torch_ds,
batch_size=microbatch,
collate_fn=make_lemath_collate_fn(pad_id=int(tokenizer.pad_token_id)),
num_workers=int(args.num_workers),
pin_memory=(device.type == "cuda"),
persistent_workers=(int(args.num_workers) > 0),
)
data_it = iter(dl)
while step < args.max_steps:
opt.zero_grad(set_to_none=True)
for ga in range(args.grad_accum):
try:
batch = next(data_it)
except StopIteration:
data_it = iter(dl)
batch = next(data_it)
base_input_ids = batch["base_input_ids"].to(device)
base_attention_mask = batch["base_attention_mask"].to(device)
input_ids = batch["input_ids"].to(device)
grad_attention_mask = batch["grad_attention_mask"].to(device)
labels = batch["labels"].to(device)
# Two-pass forward:
# - base pass: no grad, up to </think>, with original thinking tokens
# - grad pass: with grad, think content replaced by jetons; NLL ignores jetons
ctx = torch.autocast(device_type="cuda", dtype=amp_dtype) if use_autocast else contextlib.nullcontext()
with ctx:
if args.w_cos > 0:
with torch.no_grad():
base_outputs = model(
input_ids=base_input_ids,
attention_mask=base_attention_mask,
output_hidden_states=True,
use_cache=False,
)
base_last_hidden = base_outputs.hidden_states[-1] # [B, Tb, H]
grad_outputs = model(
input_ids=input_ids,
attention_mask=grad_attention_mask,
labels=labels,
output_hidden_states=True,
use_cache=False,
)
decoding_loss = grad_outputs.loss
last_hidden = grad_outputs.hidden_states[-1] # [B, Tg, H]
if args.w_cos > 0:
cos_loss = compute_cos_loss(
base_last_hidden=base_last_hidden,
last_hidden=last_hidden,
jeton_pairs=batch["cross_pairs"],
train_on_last_pair=args.train_on_last_pair,
)
else:
cos_loss = torch.tensor(0.0, device=device)
if args.w_sigreg > 0:
sigreg_loss = compute_sigreg_loss(
last_hidden=last_hidden,
jeton_pairs=batch["cross_pairs"],
sigreg_fn=sigreg_fn,
)
else:
sigreg_loss = torch.tensor(0.0, device=device)
loss = args.w_decoding * decoding_loss + args.w_sigreg * sigreg_loss + args.w_cos * cos_loss
loss = loss / args.grad_accum
loss.backward()
running["loss"] += loss.detach()
running["decoding_loss"] += decoding_loss.detach()
running["sigreg"] += sigreg_loss.detach()
running["cos"] += cos_loss.detach()
# Step
torch.nn.utils.clip_grad_norm_(trainable_params, args.max_grad_norm)
opt.step()
sched.step()
step += 1
if step % args.log_every == 0:
dt = time.time() - last_log
last_log = time.time()
denom = args.log_every
metrics = {
"loss": float(running["loss"].cpu()) / denom,
"decoding_loss": float(running["decoding_loss"].cpu()) / denom,
"sigreg": float(running["sigreg"].cpu()) / denom,
"cos": float(running["cos"].cpu()) / denom,
"lr": sched.get_last_lr()[0],
"secs_per_step": (dt / denom) if denom > 0 else float("nan"),
"steps_per_sec": (denom / dt) if dt > 0 else 0.0,
}
msg = (
f"[{_now_ts()}] step {step}/{args.max_steps} "
f"loss={metrics['loss']:.4f} "
f"decoding_loss={metrics['decoding_loss']:.4f} "
f"sigreg={metrics['sigreg']:.4f} "
f"cos={metrics['cos']:.4f} "
f"num_jetons={sum(batch['num_jetons'])} "
f"lr={metrics['lr']:.2e} "
f"({dt:.1f}s/{args.log_every} steps)"
)
print(msg, flush=True)
if wandb_run is not None:
wandb.log(metrics, step=step)
for k in running:
running[k] = 0.0
if args.save_every > 0 and step % args.save_every == 0:
save_checkpoint(f"step-{step}", step_for_log=step)
save_checkpoint("final", step_for_log=step)
print(f"[{_now_ts()}] done. saved to {args.output_dir}")
if wandb_run is not None:
wandb.finish()
if __name__ == "__main__":
main()