Research map / Large language models / Reasoning and chain of thought
Thinking on the Fly: Test-Time Reasoning Enhancement via Latent Thought Policy Optimization
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Proposes LTPO, a parameter-free test-time method that optimizes latent thought vectors per instance with a policy-gradient loop driven by a confidence reward from the frozen LLM's own output distributions.
Problem
Latent reasoning methods with offline-trained projection modules are brittle on hard, out-of-distribution reasoning tasks (e.g., AIME), collapsing to near-zero accuracy.
Approach
Treat K latent thought vectors inserted into the prompt as policy parameters and refine them at test time via REINFORCE with a dense intrinsic reward (mean negative log-probability of top-k tokens at thought positions), with no weight updates and no text decoding inside the loop.
Key results
- On Qwen-2.5-7B-Instruct, LTPO reaches 16.67% on AIME2024 and 13.33% on AIME2025 versus 10.00% for Zero-Shot CoT and 0.00% for SoftCoT on AIME2025.
- Average accuracy across five math benchmarks with LLaMA-3.1-8B-Instruct is 48.66% for LTPO versus 42.35% for Zero-Shot CoT and 45.02% for the best LatentSeek variant.
- Average inference time on GSM8K/AIME2024/AIME2025 is 20.79 s for LTPO versus 41.33 s for Zero-Shot CoT and over 500 s for LatentSeek; with Qwen-3-14B at 64k tokens, LTPO averages 80.00% vs 75.00% for Zero-Shot CoT on AIME.
Surprising findings
- SoftCoT scores 0.00% on AIME2024 and AIME2025 across all tested models, despite being competitive on simpler benchmarks.
- The confidence reward can be maximized on a fluent but incorrect reasoning path, so higher confidence does not always indicate correctness (documented in the appendix qualitative example).
Limitations
- Confidence reward is not a reliable proxy for correctness; optimization can converge to confidently incorrect answers.
- Per-task hyperparameter tuning uses grid search on validation splits; tuning for benchmarks without training sets relies on GSM8K proxy.
- Evaluated only on relatively small set of AIME problems (30 per year), so accuracy differences are small in absolute terms.
Experimental setup
Datasets: GSM8K ASDiv-Aug MATH-500 AIME2024 AIME2025 StrategyQA Date Understanding
Benchmarks: GSM8K MATH-500 ASDiv-Aug AIME2024 AIME2025 StrategyQA Date Understanding
Metrics: accuracy average inference time
Baselines: Zero-Shot CoT Zero-Shot CoT-Unk SoftCoT LatentSeek Genius SimpleRL-Zoo iCoT
Builds on: Coconut SoftCoT LatentSeek REINFORCE zero-shot chain-of-thought
Closest papers by meaning
- Reasoning via Test-Time Instance-Level Policy Gradient in Latent Space (NeurIPS 2026 · similarity 0.94)
- Latent Thinking Optimization: Your Latent Reasoning Language Model Secretly Encodes Reward Signals in its Latent Thoughts (ICLR 2026 · similarity 0.92)
- Optimizing Anytime Reasoning via Budget Relative Policy Optimization (NeurIPS 2025 · similarity 0.91)
- Don’t Think Longer, Think Wisely: Optimizing Thinking Dynamics for Large Reasoning Models (NeurIPS 2025 · similarity 0.91)
- Hybrid Latent Reasoning via Reinforcement Learning (NeurIPS 2025 · similarity 0.91)
- Rectifying LLM Thought from Lens of Optimization (ICLR 2026 · similarity 0.91)
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