SignalReasoner Achieves Threefold Improvement in Mathematical Reasoning for 3B Models

New research demonstrates reinforcement learning techniques can significantly boost small language models' mathematical reasoning capabilities in signal processing.

According to arxiv.org, researchers have developed SignalReasoner, a system that investigates reinforcement fine-tuning strategies for adapting the Qwen2.5-3B-Base model to graduate-level signal processing problems. The research, published August 19, 2026, focuses on the WirelessMATHBench-XL benchmark for mathematical reasoning in signal processing.

The study examined two training approaches: direct reinforcement learning on WirelessMATHBench-XL with verifiable rewards, and supervised fine-tuning on a wireless-domain chain-of-thought corpus followed by domain-specific RL. According to the paper, three optimization methods were benchmarked: Group Relative Policy Optimization (GRPO), Group Sequence Policy Optimization (GSPO), and Geometric-Mean Policy Optimization (GMPO).

The best model configuration achieved 39.12% overall accuracy, “representing a more than threefold improvement over the untrained Base model (12.37%),” according to the abstract. The research aims to assess whether domain-aware chain-of-thought supervised fine-tuning provides effective initialization for subsequent reinforcement learning, and whether GSPO or GMPO offer advantages over GRPO for signal reasoning tasks.

The work addresses what the researchers describe as a relatively under-explored area: applying post-training techniques with supervised chain-of-thought fine-tuning and reinforcement learning to signal processing problems, despite their success in improving mathematical reasoning capabilities of large language models generally.