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SwiReasoning: Switch-Thinking in Latent and Explicit for Pareto-Superior Reasoning LLMs

Dachuan Shi, Abedelkadir Asi, Keying Li, Xiangchi Yuan, Leyan Pan, Wenke Lee, Wen Xiao

TL;DR

SwiReasoning tackles the trade-off between explicit chain-of-thought reasoning and latent, continuous-thinking in LLMs. It introduces a training-free framework that dynamically switches between explicit and latent modes based on block-wise entropy signals and constrains the number of switches to curb overthinking. Empirical results across math and STEM benchmarks show consistent improvements in accuracy and token efficiency, with larger gains under tighter token budgets and on harder problems. The approach also demonstrates broader applicability through ablations and extended testing on coding and multi-hop reasoning tasks, suggesting practical impact for efficient, scalable LLM reasoning.

Abstract

Recent work shows that, beyond discrete reasoning through explicit chain-of-thought steps, which are limited by the boundaries of natural languages, large language models (LLMs) can also reason continuously in latent space, allowing richer information per step and thereby improving token efficiency. Despite this promise, latent reasoning still faces two challenges, especially in training-free settings: 1) purely latent reasoning broadens the search distribution by maintaining multiple implicit paths, which diffuses probability mass, introduces noise, and impedes convergence to a single high-confidence solution, thereby hurting accuracy; and 2) overthinking persists even without explicit text, wasting tokens and degrading efficiency. To address these issues, we introduce SwiReasoning, a training-free framework for LLM reasoning which features two key innovations: 1) SwiReasoning dynamically switches between explicit and latent reasoning, guided by block-wise confidence estimated from entropy trends in next-token distributions, to balance exploration and exploitation and promote timely convergence. 2) By limiting the maximum number of thinking-block switches, SwiReasoning curbs overthinking and improves token efficiency across varying problem difficulties. On widely used mathematics and STEM benchmarks, SwiReasoning consistently improves average accuracy by 1.5%-2.8% across reasoning LLMs of different model families and scales. Furthermore, under constrained budgets, SwiReasoning improves average token efficiency by 56%-79%, with larger gains as budgets tighten.

SwiReasoning: Switch-Thinking in Latent and Explicit for Pareto-Superior Reasoning LLMs

TL;DR

SwiReasoning tackles the trade-off between explicit chain-of-thought reasoning and latent, continuous-thinking in LLMs. It introduces a training-free framework that dynamically switches between explicit and latent modes based on block-wise entropy signals and constrains the number of switches to curb overthinking. Empirical results across math and STEM benchmarks show consistent improvements in accuracy and token efficiency, with larger gains under tighter token budgets and on harder problems. The approach also demonstrates broader applicability through ablations and extended testing on coding and multi-hop reasoning tasks, suggesting practical impact for efficient, scalable LLM reasoning.

Abstract

Recent work shows that, beyond discrete reasoning through explicit chain-of-thought steps, which are limited by the boundaries of natural languages, large language models (LLMs) can also reason continuously in latent space, allowing richer information per step and thereby improving token efficiency. Despite this promise, latent reasoning still faces two challenges, especially in training-free settings: 1) purely latent reasoning broadens the search distribution by maintaining multiple implicit paths, which diffuses probability mass, introduces noise, and impedes convergence to a single high-confidence solution, thereby hurting accuracy; and 2) overthinking persists even without explicit text, wasting tokens and degrading efficiency. To address these issues, we introduce SwiReasoning, a training-free framework for LLM reasoning which features two key innovations: 1) SwiReasoning dynamically switches between explicit and latent reasoning, guided by block-wise confidence estimated from entropy trends in next-token distributions, to balance exploration and exploitation and promote timely convergence. 2) By limiting the maximum number of thinking-block switches, SwiReasoning curbs overthinking and improves token efficiency across varying problem difficulties. On widely used mathematics and STEM benchmarks, SwiReasoning consistently improves average accuracy by 1.5%-2.8% across reasoning LLMs of different model families and scales. Furthermore, under constrained budgets, SwiReasoning improves average token efficiency by 56%-79%, with larger gains as budgets tighten.

Paper Structure

This paper contains 49 sections, 12 equations, 8 figures, 25 tables, 1 algorithm.

Figures (8)

  • Figure 1: Pass@1 accuracy under unlimited token budgets. On mathematics and STEM reasoning benchmarks, SwiReasoning yields improvements of up to $\boldsymbol{+2.8\%}$ and $\boldsymbol{+2.0\%}$, respectively.
  • Figure 2: Token efficiency (accuracy per token compared to standard CoT), under limited token budgets. Across reasoning LLM families and sizes, SwiReasoning brings average efficiency improvements of up to $\boldsymbol{+79\%}$.
  • Figure 3: SwiReasoning framework. (a) Dynamic mode switching alternates between explicit and latent thinking based on block-wise confidence estimated from entropy trends. (b) A switch count control mechanism limits the maximum number of thinking-block transitions, suppressing overthinking before the final answer.
  • Figure 4: Token efficiency comparisons. SwiReasoning achieves the highest token efficiency throughout all token budgets in 13 out of 15 evaluations, with an efficiency improvement of $\boldsymbol{+84\%}$ over CoT on average.
  • Figure 5: Pass@k accuracy ($k \in [1,64]$) evaluation with Qwen3-8B on AIME 2024 and 2025 benchmarks. SwiReasoning achieves maximum reasoning accuracies $\boldsymbol{+50\%}$ earlier compared to CoT on average.
  • ...and 3 more figures