Research map / Large language models / Reasoning and chain of thought
Landscape of Thoughts: Visualizing the Reasoning Process of Large Language Models
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Introduces Landscape of Thoughts (LoT), a t-SNE-based visualization of LLM reasoning trajectories on multiple-choice data using perplexity-based state-to-choice distance features, plus consistency/uncertainty metrics and a lightweight random-forest verifier that improves weighted voting.
Problem
LLM step-by-step reasoning behavior is poorly understood; manual reading of trajectories does not scale or aggregate across datasets, so automated, objective analysis tools are needed.
Approach
Represent each intermediate reasoning state by its perplexity-based distances to all answer choices (computed with the same LLM), project these state features with t-SNE into density landscapes colored by correctness, and reuse the state features as inputs to a lightweight random-forest verifier for weighted majority voting.
Key results
- The LoT verifier improves over unweighted voting across models and decoding methods, with smaller 1B and 3B models gaining most with 10 trajectories.
- With up to 50 trajectories, verifier-based voting reaches over 65% accuracy while the unweighted baseline saturates around 30%.
- A verifier trained on AQuA improves StrategyQA accuracy by 4.5%; a verifier trained on the 70B model improves 3B model accuracy by 5.5%.
Surprising findings
- Incorrect trajectories often converge faster to wrong answers than correct trajectories converge to right answers within the same model and method.
- Uncertainty and perplexity generally increase with reasoning depth, even as larger models show higher consistency.
Limitations
- Restricted to multiple-choice datasets and to open-weight models that expose likelihoods; closed-source LLMs excluded.
- Analyses in main text use small samples (50 problems per dataset).
- Verifier transferability across datasets and models is inconsistent; some transfers do not help.
Experimental setup
Datasets: AQuA MMLU CommonsenseQA StrategyQA
Benchmarks: AQuA MMLU CommonsenseQA StrategyQA
Metrics: accuracy consistency uncertainty perplexity voting accuracy
Baselines: unweighted majority voting LLM-based verifiers
Builds on: t-SNE chain-of-thought tree-of-thought least-to-most prompting
Closest papers by meaning
- Probing the Trajectories of Reasoning Traces in Large Language Models (NeurIPS 2026 · similarity 0.89)
- Imagine While Reasoning in Space: Multimodal Visualization-of-Thought (ICML 2025 · similarity 0.88)
- MDK12-Bench: A Multi-Discipline Benchmark for Evaluating Reasoning in Multimodal Large Language Models (AAAI 2026 · similarity 0.88)
- ChartMuseum: Testing Visual Reasoning Capabilities of Large Vision-Language Models (NeurIPS 2025 · similarity 0.88)
- Advancing Spatial Reasoning in Large Language Models: An In-Depth Evaluation and Enhancement Using the StepGame Benchmark (AAAI 2024 · similarity 0.87)
- Mind's Eye of LLMs: Visualization-of-Thought Elicits Spatial Reasoning in Large Language Models (NeurIPS 2024 · similarity 0.87)
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