Self-Consistency Boosts Calibration for Math Reasoning
On the map: LLM reasoning → Mathematical reasoning
Abstract (arXiv)
Calibration, which establishes the correlation between accuracy and model confidence, is important for LLM development. We design three off-the-shelf calibration methods based on self-consistency (Wang et al., 2022) for math reasoning tasks. Evaluation on two popular benchmarks (GSM8K and MathQA) using strong open-source LLMs (Mistral and LLaMA2), our methods better bridge model confidence and accuracy than existing methods based on p(True) (Kadavath et al., 2022) or logit (Kadavath et al., 2022).
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 7 of its 25 references that are in the map. First posted on arXiv 14 Mar 2024.
Builds on
7 of 25 references.
References · 7
- 2023GPT-4 Technical Reportcited by 18,132
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2023Mistral 7Bcited by 3,065
- 2024Mixtral of Expertscited by 1,785
- 2022Language Models (Mostly) Know What They Knowcited by 1,783
- 2023A Survey of Confidence Estimation and Calibration in Large Language Modelscited by 253
Built on by
Citing papers per year: 2024: 3; 2025: 4; 2026: 5.
12 papers.
- 2025Efficient Test-Time Scaling via Self-Calibrationcited by 74
- 2024LiteSearch: Efficacious Tree Search for LLMcited by 30
- 2024Mirror-Consistency: Harnessing Inconsistency in Majority Votingcited by 16
- 2025Black-box Optimization of LLM Outputs by Asking for Directionscited by 7
- 2025Let the Model Distribute Its Doubt: Confidence Estimation through Verbalized Probability Distributioncited by 3
- 2026Quantifying Consistency in LLM Logical Reasoning via Structural Uncertaintycited by 2
- 2025Direct Confidence Alignment: Aligning Verbalized Confidence with Internal Confidence In Large Language Modelscited by 1
- 2026A State-Transition Framework for Efficient LLM Reasoningcited by 1
- 2024AUEB-Archimedes at RIRAG-2025: Is obligation concatenation really all you need?cited by 0
- 2026Better Think Thrice: Learning to Reason Causally with Double Counterfactual Consistencycited by 0
- 2026Gradient-Guided Reward Optimization for Inference-time Alignmentcited by 0
- 2026When Tokenization is Secretly Output Supervisioncited by 0
- 2026When Tokenization is Secretly Output Supervision1 Sep 2026
- 2026Quantifying Consistency in LLM Logical Reasoning via Structural Uncertainty15 Jun 2026
- 2026Gradient-Guided Reward Optimization for Inference-time Alignment8 Jun 2026
- 2026Better Think Thrice: Learning to Reason Causally with Double Counterfactual Consistency18 Feb 2026
- 2026A State-Transition Framework for Efficient LLM Reasoning1 Feb 2026
- 2025Direct Confidence Alignment: Aligning Verbalized Confidence with Internal Confidence In Large Language Models12 Dec 2025
- 2025Let the Model Distribute Its Doubt: Confidence Estimation through Verbalized Probability Distribution18 Nov 2025
- 2025Black-box Optimization of LLM Outputs by Asking for Directions19 Oct 2025
- 2025Efficient Test-Time Scaling via Self-Calibration25 Feb 2025
- 2024AUEB-Archimedes at RIRAG-2025: Is obligation concatenation really all you need?16 Dec 2024
- 2024Mirror-Consistency: Harnessing Inconsistency in Majority Voting7 Oct 2024
- 2024LiteSearch: Efficacious Tree Search for LLM29 Jun 2024
Similar, not cited
Close in wording, no citation either way
- 2025Preserving LLM Capabilities through Calibration Data Curation: From Analysis to Optimization
- 2026Unsupervised Confidence Calibration for Reasoning LLMs from a Single Generation
- 2026Test-time Calibration Learning for Large Language Model Reasoning
- 2023VerityMath: Advancing Mathematical Reasoning by Self-Verification Through Unit Consistency
- 2025Enhancing Mathematical Reasoning in Large Language Models with Self-Consistency-Based Hallucination Detection
- 2024Don't Trust: Verify -- Grounding LLM Quantitative Reasoning with Autoformalization
- 2025Temporal Consistency for LLM Reasoning Process Error Identification
- 2026Does Inference Scaling Improve Reasoning Faithfulness? A Multi-Model Analysis of Self-Consistency Tradeoffs