Benchmarks (honest, held-out)
Evaluated on contamination-free elementary math-word-problem benchmarks — SVAMP, ASDiv, MAWPS (clean)
and GSM-Plus (semi-clean, adversarial) — that appear in none of the training stages. n=500/set,
with-think decoding. Metrics: greedy / +budget-forcing / self-consistency@32 / pass@32 (%).
Table with columns: set, greedy, +budget, self-cons@32, pass@32| set | greedy | +budget | self-cons@32 | pass@32 |
|---|
| SVAMP | 33.4 | 33.4 | 44.4 | 83.6 |
| ASDiv | 49.2 | 48.6 | 58.4 | 83.8 |
| MAWPS | 39.8 | 39.6 | 47.4 | 78.4 |
| GSM-Plus (adversarial) | 16.8 | 16.8 | 21.2 | 60.2 |
| mean (SVAMP/ASDiv/MAWPS) | 40.8 | 40.5 | 50.1 | 81.9 |
Read plainly: single-shot greedy is ~41% on the clean sets, self-consistency lifts it to ~50%, and the
model can solve far more than it reliably answers in one pass — pass@32 ≈ 82%. These are
absolute-modest numbers for a 0.46B model; it is a small reasoner, and the greedy→pass@K headroom is the
interesting part.
Note on GSM8K: the CoT/STaR/GRPO training overlaps GSM8K, so GSM8K is not a valid held-out
benchmark for this model. Use the clean SVAMP / ASDiv / MAWPS numbers above as the honest signal.
How it was trained
Base Qwen1.5-0.5B → five stages (base-agnostic harness reasoning/reason_control/ + RLVR in the
training repo):
- General SFT on HuggingFaceH4/ultrachat_200k (LR 2e-5).
- DPO preference alignment on argilla/dpo-mix-7k (LR 5e-6, β 0.1).
- CoT-SFT on a
<think>…</think> + \boxed{} math-reasoning mix (LR 1e-5, 1 epoch).
- STaR — self-distillation on the model's own verified-correct, concise (terminating) traces on
GSM8K-train + MATH-L1-3 (two rounds; fixes the non-termination that caps greedy).
- GRPO / RLVR — group-relative policy optimization with a verifiable reward (correct
\boxed on
GSM8K-train), early-stopped to avoid over-optimization.
Cumulatively, greedy accuracy on the clean sets rose from ~24% (after stage 3) to ~41% (after stage 5) —
STaR and RLVR mostly convert the large latent pass@K ceiling into single-shot answers rather than
raising the ceiling itself.
Inference
from transformers import AutoModelForCausalLM, AutoTokenizer
import torch
mid = "PursuitOfDataScience/Argonne-Qwen1.5-0.5B-think"
tok = AutoTokenizer.from_pretrained(mid)
model = AutoModelForCausalLM.from_pretrained(mid, dtype=torch.bfloat16).to("cuda").eval()
msgs = [{"role": "user", "content": "Ana has 3 boxes with 12 pencils each. She gives away 8. How many are left?"}]
ids = tok.apply_chat_template(msgs, add_generation_prompt=True, return_tensors="pt").to("cuda")
out = model.generate(ids, max_new_tokens=512, do_sample=False)
print(tok.decode(out[0][ids.shape[1]:], skip_special_tokens=True))
Uses the standard ChatML format (<|im_start|> / <|im_end|>). For the best accuracy, sample K≈16–32
traces (temperature 0.8, top_p 0.95) and majority-vote the \boxed{} answers (self-consistency ≈ 50%).
Limitations
- 0.46B parameters — a small reasoner. Absolute accuracy on clean grade-school math is ~41% greedy /
~50% self-consistency; expect errors, especially on multi-step or adversarial problems (GSM-Plus greedy
~17%).
- Scope: trained and evaluated on English elementary math word problems + general chat. Not a
general-purpose or competition-math model.
- GSM8K is not a valid benchmark here (train-mix overlap) — use the clean numbers above.
Base model & license
Fine-tuned from Qwen/Qwen1.5-0.5B (Apache-2.0) and released under
Apache-2.0; please also observe the base model's terms.
Provenance
Training + evaluation code: PursuitOfDataScience/ArgonneAI
(reasoning/reason_control/ recipe, reasoning/grpo.py RLVR, reasoning/clean_eval.py honest evaluator).
Citation
@misc{argonne_qwen05b_think_2026,
title = {Argonne-Qwen1.5-0.5B-think: a compact chain-of-thought reasoner (SFT->DPO->CoT->STaR->RLVR)},
author = {PursuitOfDataScience},
year = {2026},
url = {https://huggingface.co/PursuitOfDataScience/Argonne-Qwen1.5-0.5B-think}
}