Qwen-C3PO-7B
📄 Paper: Parameter Exploration for RLVR via Variational Learning · arXiv:2608.09805
📦 Code: insait-institute/c3po
Qwen2.5-Math 7B fine-tuned with C3PO, from the paper "Parameter Exploration for RLVR via Variational Learning".
3PO is a family of parameter-space exploration strategies for Reinforcement Learning with Verifiable Rewards (RLVR). Instead of relying only on action-space heuristics (temperature, clipping, entropy bonuses), 3PO samples model weights from an approximate posterior learned with the variational optimizer IVON; the amount of weight noise becomes an extra control lever for exploration.
C3PO splits each GRPO group of G rollouts across N independent weight perturbations (G/N
rollouts each). Advantages are computed over the full, more-diverse group, with a Seq-MIS
(sequence-level multiple-importance-sampling) correction to account for the differing perturbations. This
gives extra parameter-space diversity at the same rollout budget as GRPO.
Training
| Base / warm-start | BayesRL/Qwen2.5Math-IVON-SFT-7B |
| Foundation model | Qwen/Qwen2.5-Math-7B |
| Algorithm | C3PO (GRPO + IVON, N chunked perturbations + Seq-MIS) |
| RL data | DAPO-Math-17k |
| Optimizer | IVON, lr 1.0, ESS (λ) 1e10 |
| Hardware | 8× NVIDIA H200 (144 GB) |
Evaluation
Evaluated on AIME 2024–2026, MATH-500, AMC 2023, and Minerva. See the paper for full results.
Usage
from transformers import AutoModelForCausalLM, AutoTokenizer
model = AutoModelForCausalLM.from_pretrained("BayesRL/Qwen-C3PO-7B")
tok = AutoTokenizer.from_pretrained("BayesRL/Qwen-C3PO-7B")
Citation
@misc{venkatkrishna2026parameterexploration,
title={Parameter Exploration for RLVR via Variational Learning},
author={Vatsal Venkatkrishna and Nico Daheim and Iryna Gurevych},
year={2026},
eprint={2608.09805},
archivePrefix={arXiv},
primaryClass={cs.LG},
url={https://arxiv.org/abs/2608.09805},
}