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SwiReasoning: Entropy-Driven Alternation of Latent and Explicit Chain-of-Thought for Reasoning LLMs

SwiReasoning: Entropy-Driven Alternation of Latent and Explicit Chain-of-Thought for Reasoning LLMs

Understanding the Target Audience

The target audience for SwiReasoning primarily includes AI researchers, data scientists, and business managers interested in enhancing the efficiency and accuracy of reasoning in large language models (LLMs). Their pain points often revolve around the limitations of current reasoning methods, particularly in mathematics and STEM applications. They seek solutions that offer improved performance without requiring extensive retraining of models, as well as methods that can be easily integrated into existing workflows.

Overview of SwiReasoning

SwiReasoning is a decoding-time framework that enables a reasoning LLM to determine when to engage in latent reasoning and when to utilize explicit chain-of-thought (CoT). This decision-making process is guided by block-wise confidence signals derived from entropy trends in next-token distributions. The approach is both training-free and model-agnostic, aiming to achieve superior accuracy and efficiency trade-offs specifically in mathematics and STEM benchmarks.

Key Features of SwiReasoning

  • Training-free controller: Alternates between latent reasoning and explicit CoT based on next-token entropy trends.
  • Efficiency gains: Reports average token-efficiency improvements of +56%–79% under constrained budgets compared to CoT.
  • Accuracy lifts: Achieves average Pass@1 improvements of +1.5%–2.8% on mathematics and STEM benchmarks with unlimited budgets.
  • Faster convergence: Reaches maximum reasoning accuracy earlier than CoT on AIME 2024/2025, improving Pass@k dynamics.

Mechanism of SwiReasoning

The core mechanism of SwiReasoning involves a controller that monitors the decoder’s next-token entropy to generate a block-wise confidence signal. When confidence is low (indicated by increasing entropy), the model engages in latent reasoning, refraining from emitting tokens. Conversely, when confidence improves (entropy decreases), it transitions back to explicit reasoning, producing CoT tokens to finalize a solution. A switch count control limits the number of transitions, preventing excessive overthinking before arriving at an answer. This dynamic alternation is crucial for achieving the reported accuracy-per-token gains.

Performance Results

In evaluations across mathematics and STEM reasoning tasks, SwiReasoning demonstrates notable improvements:

  • Pass@1 (unlimited budget): Accuracy increases of up to +2.8% (math) and +2.0% (STEM), with an average lift of +2.17% over baseline methods.
  • Token efficiency (limited budgets): Average improvements reach up to +79%, with SwiReasoning achieving the highest token efficiency in 13 out of 15 evaluations.
  • Pass@k dynamics: On Qwen3-8B during AIME 2024/2025, maximum reasoning accuracies are attained +50% earlier than CoT on average.

Why Switching Helps

Explicit CoT is clear and readable but may prematurely lock in a single reasoning path, potentially discarding valuable alternatives. Latent reasoning, while continuous and information-dense, can diffuse probability mass, hindering convergence. SwiReasoning’s confidence-guided alternation allows for broader exploration during uncertainty and solidifies solutions as confidence rises. The switch count control mitigates excessive oscillations and limits prolonged silent reasoning, addressing both accuracy loss and token waste.

Positioning Against Baselines

SwiReasoning is compared against CoT with sampling, CoT greedy, and Soft Thinking, showing an average accuracy lift of +2.17% at unlimited budgets and consistent efficiency advantages under budget constraints. The results illustrate a shift in the Pareto frontier, indicating either higher accuracy at the same budget or similar accuracy with fewer tokens across various model families and scales.

Conclusion

SwiReasoning represents a significant advancement in pragmatic reasoning policy control at decode time. Its training-free nature, combined with measurable gains in mathematics and STEM applications, makes it an appealing option for organizations looking to enhance their AI capabilities. The open-source BSD implementation facilitates easy replication and integration with other efficiency layers, underscoring its operational importance for budgeted inference and batching.

Further Reading

For more detailed insights, refer to the original paper and explore the project page.