Qwen3.5-0.8B-GRPO-Math

A reasoning-enhanced version of Qwen3.5-0.8B, trained using GRPO (Group Relative Policy Optimization) — the RL technique behind DeepSeek-R1 — on a single RTX 5090.

Results

Eval Setting	GSM8K Accuracy	Notes
Baseline 8-shot CoT	53.5%	Pre-trained, no fine-tuning
Baseline zero-shot	52.1%	Pre-trained, no fine-tuning
GRPO zero-shot	58.0% (+5.9pp)	Best result — model reasons autonomously
GRPO 8-shot (plain format)	50.4% (-3.1pp)	Few-shot examples conflict with learned policy
GRPO 8-shot (<think> aligned)	34.1% (-19.4pp)	Format-aligned examples hurt even more

Key Finding: Demonstration to Policy Shift

GRPO training shifted the model from demonstration-based reasoning to policy-based reasoning.

After training, the model:

• Performs best in zero-shot — it reasons autonomously using <think> tags
• Is hurt by few-shot examples — any demonstrations conflict with its learned internal reasoning policy
• Is hurt even more by format-aligned few-shot — <think> tags in examples caused the model to confuse context with its own generation, dropping to 34.1%

This is a behavioral shift, not a regression. The model no longer needs (or wants) demonstrations. This mirrors what DeepSeek-R1 demonstrated at 670B scale.

Training Pipeline

Phase 1: SFT Warmup

• Data: 3,558 reasoning examples from 3 sources, standardized to <think> tags
• Purpose: Solve the cold-start problem — teach the 0.8B model <think> tag format before RL exploration
• Stats: 1 epoch, loss 0.932, 78% token accuracy

Phase 2: GRPO Training

• Data: GSM8K train split (7,473 math word problems)
• Rewards: Math correctness (1.0/0.0) + format reward (0.3 for <think> tags, 0.2 for #### answer)
• Config: 8 generations/prompt, batch size 1 x 8 grad accum, lr 1e-6, beta=0.04
• Hardware: Single NVIDIA RTX 5090 (32GB VRAM)
• Duration: ~77 hours, 15,900 steps (epoch 2.13, rewards had plateaued)

What is GRPO?

GRPO eliminates the need for a separate reward model and critic network (unlike PPO). For each prompt, it:

1. Samples G completions from the policy
2. Scores each with a verifiable reward (exact math answer checking)
3. Normalizes rewards within the group (relative advantage)
4. Updates the policy using a clipped surrogate objective

Only 2 models in memory (policy + reference) instead of 4 — feasible on consumer GPUs.

Lessons Learned

What worked

• GRPO improved zero-shot reasoning — +5.9pp, model internalized step-by-step thinking
• Demonstration to policy shift — the model developed its own reasoning strategy instead of relying on examples
• Format + correctness rewards together — <think> tag bonus helped learn structured reasoning alongside accuracy
• Single consumer GPU is viable — full pipeline on one RTX 5090

What we'd do differently

• Eval after SFT — we skipped this, so we can't isolate SFT's contribution
• Try GRPO without SFT — ablation would show if SFT warmup is necessary or trades few-shot ability for format
• Larger model — 0.8B is near capacity ceiling. Successful open GRPO reproductions start at 1.5B+

Technical findings

• Qwen3.5 DeltaNet needs FLA — install flash-linear-attention + causal-conv1d, otherwise torch fallback is ~10x slower
• SDPA > FLA for inference — 3.6x faster first call. Use attn_implementation="sdpa"
• Rewards plateau ~epoch 1.2 — diminishing returns beyond 2 epochs at this scale
• RL-trained models are few-shot sensitive — even format-aligned examples hurt (34.1%), suggesting the model confuses example <think> tags with its own generation context

Usage

from transformers import AutoModelForCausalLM, AutoTokenizer

model_name = "celestialcreator/Qwen3.5-0.8B-GRPO-Math"
tokenizer = AutoTokenizer.from_pretrained(model_name, trust_remote_code=True)
model = AutoModelForCausalLM.from_pretrained(
    model_name,
    torch_dtype="auto",
    device_map="auto",
    trust_remote_code=True,
)

# Best used in zero-shot — the model has its own reasoning policy
messages = [
    {"role": "system", "content": "You are a helpful assistant that thinks step by step. Show your reasoning inside <think> tags before giving your final answer. End math answers with: #### <number>"},
    {"role": "user", "content": "If a train travels at 60 mph for 2.5 hours, how far does it go?"},
]

text = tokenizer.apply_chat_template(messages, tokenize=False, add_generation_prompt=True)
inputs = tokenizer(text, return_tensors="pt").to(model.device)
outputs = model.generate(**inputs, max_new_tokens=512, do_sample=False)
print(tokenizer.decode(outputs[0][inputs["input_ids"].shape[1]:], skip_special_tokens=True))

Note: This model performs best in zero-shot mode. Do not use few-shot examples — they conflict with the model's learned reasoning policy and reduce accuracy.

Training Code

Full pipeline (Dockerfile, k8s configs, scripts): github.com/CelestialCreator/gpu-lab/tree/main/projects/05-grpo-reasoning

Acknowledgments

• TRL for the GRPOTrainer implementation
• Qwen Team for the base model
• DeepSeek for the GRPO algorithm

Citation

@misc{qwen35-grpo-math-2026,
  author = {Akshay Mhaskar},
  title = {Qwen3.5-0.8B-GRPO-Math: Teaching a Small Model to Reason with RL},
  year = {2026},
  url = {https://huggingface.co/celestialcreator/Qwen3.5-0.8B-GRPO-Math},
}