AR-4B (base)

AR-4B is a 4.02B-parameter decoder-only transformer, pretrained from scratch on about 325B tokens of English, code and math. It's a base model: no instruction tuning or RLHF, so it continues text rather than following chat instructions.

  • Parameters: 4.02B (36 layers, hidden size 2,560, grouped-query attention, SwiGLU MLP)
  • Context length: 4,096 during pretraining (position encoding supports longer)
  • Pretraining tokens: ~325B (Stage 1 ~300B general + Stage 2 ~25B math/code anneal)
  • Precision: bf16

Load the model

from transformers import AutoModelForCausalLM, AutoTokenizer
import torch

name = "AjayRangoji/AR-4B-base"
tok = AutoTokenizer.from_pretrained(name)
model = AutoModelForCausalLM.from_pretrained(
    name, torch_dtype=torch.bfloat16, device_map="auto",
    trust_remote_code=True,                                   # loads modeling_ar.py from this repo
)

prompt = "The quickest way to sort a list in Python is"
inputs = tok(prompt, return_tensors="pt").to(model.device)
out = model.generate(**inputs, max_new_tokens=64, do_sample=False)
print(tok.decode(out[0], skip_special_tokens=True))

trust_remote_code=True is required because the repo ships its own small modeling_ar.py.

Architecture

Layers 36 decoder blocks, pre-norm, residual
Hidden size 2,560
Attention Grouped-query: 32 query heads, 8 key/value heads, head dim 128
Attention stability RMSNorm on each head's Q and K (QK-norm), before RoPE
Positions RoPE, base theta = 1,000,000
MLP SwiGLU, inner size 9,728
Normalization RMSNorm (eps = 1e-6), computed in fp32
Embeddings Input embedding tied to output head (saves 389M parameters)
Vocabulary 151,936 BPE tokens
Document separator `<

Forward pass: token embedding -> 36 x [RMSNorm -> GQA (QK-norm, RoPE) -> add residual -> RMSNorm -> SwiGLU -> add residual] -> final RMSNorm -> tied output head -> 151,936 next-token scores per position.

Training

Pure data parallelism with PyTorch FSDP2, bf16 compute / fp32 reductions, activation checkpointing on every block, FlexAttention with a causal + same-document mask.

Stage 1: general Stage 2: reasoning anneal
Steps 0 - 572,000 572,000 - 619,699
Tokens ~300B ~25B
English 65% FineWeb-Edu (191B unique) 20% FineWeb-Edu, int_score >= 4 only
Textbooks - 10% Cosmopedia v2
Code 20% The Stack (dedup), 9 languages 30% same code
Math 15% FineMath 4+ / 3+ 40% FineMath 4+, InfiWebMath 4+, FineMath 3+
LR warmup 2,000 -> 3e-4 -> cosine -> 3e-5 warmup 1,000 -> 1e-4 -> cosine -> 1e-5
  • Batch: 524,288 tokens per optimizer step (64 GPUs x 2 sequences x 4,096 tokens).
  • Optimizer: AdamW, beta = (0.9, 0.95), weight decay 0.1, gradient clip 1.0.
  • Hardware: Up to 8 nodes x 8 H100 80GB (64 GPUs) on an AWS cluster, EFA network, Lustre storage.
  • Throughput: about 500K tokens/s on 64 GPUs (~22% MFU).

Evaluation (base model, no instruction tuning)

Held-out loss on data the model never trained on; HumanEval and GSM8K are standard benchmarks for 4B base models.

Metric Stage 1 final Stage 2 final
Python held-out loss (lower is better) 0.966 0.929
English held-out loss (lower is better) 2.220 2.300
HumanEval pass@1 (greedy) 18.9% (31/164) 25.0% (41/164)
GSM8K 8-shot exact match 31.6% (79/250) 43.6% (109/250)

As expected from the Stage 2 mix (40% math, 30% code), reasoning benchmarks improved substantially while general English loss moved slightly up.

Tokenizer

Uses the Qwen3 BPE tokenizer (Qwen/Qwen3-4B) - 151,936 vocab, strong on English, code and math. Credit to the tokenizer's authors. Document separator in training: <|im_end|> (id 151645).

Intended use and limitations

  • Base model for continued pretraining, SFT, RLHF, or distillation. Not a chat model.
  • No safety training. Outputs may be factually wrong, biased or unsafe. Review and filter before any downstream use.
  • English-dominant data. Behavior in other languages is likely weaker, even where the tokenizer handles them.
  • 4,096-token context in pretraining; longer contexts work mechanically through RoPE but have not been trained.
  • Not evaluated on standard safety benchmarks.

Data sources

Each dataset keeps its original license; see the links above.

License

Model weights and code: Apache 2.0. The tokenizer's license is the one it ships with.

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Datasets used to train AjayRangoji/AR-4B-base