Semantic Energy: Detecting LLM Hallucination Beyond Entropy
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Abstract (arXiv)
Large Language Models (LLMs) are being increasingly deployed in real-world applications, but they remain susceptible to hallucinations, which produce fluent yet incorrect responses and lead to erroneous decision-making. Uncertainty estimation is a feasible approach to detect such hallucinations. For example, semantic entropy estimates uncertainty by considering the semantic diversity across multiple sampled responses, thus identifying hallucinations. However, semantic entropy relies on post-softmax probabilities and fails to capture the model's inherent uncertainty, causing it to be ineffective in certain scenarios. To address this issue, we introduce Semantic Energy, a novel uncertainty estimation framework that leverages the inherent confidence of LLMs by operating directly on logits of penultimate layer. By combining semantic clustering with a Boltzmann-inspired energy distribution, our method better captures uncertainty in cases where semantic entropy fails. Experiments across multiple benchmarks show that Semantic Energy significantly improves hallucination detection and uncertainty estimation, offering more reliable signals for downstream applications such as hallucination detection.
Key facts. Cited by 18 papers in the map (data through 14 Oct 2026). Builds on 36 of its 47 references that are in the map. First posted on arXiv 20 Aug 2025.
Builds on
36 of 47 references.
References · 36
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- 2023Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generationcited by 819
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- 2021On Hallucination and Predictive Uncertainty in Conditional Language Generationcited by 176
- 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoningcited by 166
- 2023Shifting Attention to Relevance: Towards the Predictive Uncertainty Quantification of Free-Form Large Language Modelscited by 150
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- 2025Right Question is Already Half the Answer: Fully Unsupervised LLM Reasoning Incentivizationcited by 128
- 2024Uncertainty Estimation and Quantification for LLMs: A Simple Supervised Approachcited by 76
- 2024Calibrating Large Language Models with Sample Consistencycited by 73
- 2024SPUQ: Perturbation-Based Uncertainty Quantification for Large Language Modelscited by 56
- 2024A Survey of Uncertainty Estimation in LLMs: Theory Meets Practicecited by 55
- 2025First Return, Entropy-Eliciting Explorecited by 45
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- 2025Uncertainty-Guided Chain-of-Thought for Code Generation with LLMscited by 32
- 2024Improving Uncertainty Quantification in Large Language Models via Semantic Embeddingscited by 30
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- 2025Estimating LLM Uncertainty with Evidencecited by 26
- 2025TokUR: Token-Level Uncertainty Estimation for Large Language Model Reasoningcited by 24
- 2025Revisiting Uncertainty Estimation and Calibration of Large Language Modelscited by 23
- 2025Uncertainty-Aware Step-wise Verification with Generative Reward Modelscited by 22
- 2024SLED: Self Logits Evolution Decoding for Improving Factuality in Large Language Modelscited by 16
- 2025Empowering GraphRAG with Knowledge Filtering and Integrationcited by 15
- 2025Language Model Uncertainty Quantification with Attention Chaincited by 14
- 2025Query-Level Uncertainty in Large Language Modelscited by 14
- 2023Self-Consistency of Large Language Models under Ambiguitycited by 12
- 2025Uncertainty-Aware Fusion: An Ensemble Framework for Mitigating Hallucinations in Large Language Modelscited by 12
- 2025Do not Abstain! Identify and Solve the Uncertaintycited by 11
- 2025Adaptive Termination for Multi-round Parallel Reasoning: An Universal Semantic Entropy-Guided Frameworkcited by 10
- 2023Uncertainty Estimation of Transformers' Predictions via Topological Analysis of the Attention Matricescited by 8
- 2025The Consistency Hypothesis in Uncertainty Quantification for Large Language Modelscited by 6
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Citing papers per year: 2025: 3; 2026: 15.
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- 2025Chain-of-Thought as a Lens: Evaluating Structured Reasoning Alignment between Human Preferences and Large Language Modelscited by 5
- 2026Gradient-Stable Attention Heads Signal LLM Correctnesscited by 5
- 2025Semantic Reformulation Entropy for Robust Hallucination Detection in QA Taskscited by 4
- 2026The Alignment Tax: Response Homogenization in Aligned LLMs and Its Implications for Uncertainty Estimationcited by 4
- 2026Sparse Growing Transformer: Training-Time Sparse Depth Allocation via Progressive Attention Loopingcited by 3
- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answercited by 2
- 2026FaithSCAN: Model-Driven Single-Pass Hallucination Detection for Faithful Visual Question Answeringcited by 1
- 2026"I May Not Have Articulated Myself Clearly": Diagnosing Dynamic Instability in LLM Reasoning at Inference Timecited by 1
- 2026Self-Calibrating Language Models via Test-Time Discriminative Distillationcited by 1
- 2025False Fixed Points: Kantian Feedback, Stable Miscalibration, and Representational Compression in LLMscited by 0
- 2026Calibrated Confidence Estimation for Tabular Question Answeringcited by 0
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clusteringcited by 0
6 more
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generationcited by 0
- 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantificationcited by 0
- 2026Forewarned is Forearmed: When Non-Sequential Embedding Turns Into an Anomaly Detectorcited by 0
- 2026Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantificationcited by 0
- 2026LODESTAR: Robust Entropy-Based Answer Selection in Retrieval-Augmented Generation for Question Answering -- Directing Frozen-LLM Entropy with a Reinforcement-Learned Prompt Polarizer under Misleading Passagescited by 0
- 2026From Tokens to Semantics: Leveraging Complementary Signals for Hallucination Detection in Black-Box LLMscited by 0
- 2026From Tokens to Semantics: Leveraging Complementary Signals for Hallucination Detection in Black-Box LLMs2 Sep 2026
- 2026LODESTAR: Robust Entropy-Based Answer Selection in Retrieval-Augmented Generation for Question Answering -- Directing Frozen-LLM Entropy with a Reinforcement-Learned Prompt Polarizer under Misleading Passages12 Aug 2026
- 2026Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantification18 Jul 2026
- 2026Forewarned is Forearmed: When Non-Sequential Embedding Turns Into an Anomaly Detector29 Jun 2026
- 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantification1 Jun 2026
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generation26 May 2026
- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answer21 May 2026
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clustering19 May 2026
- 2026Calibrated Confidence Estimation for Tabular Question Answering14 Apr 2026
- 2026The Alignment Tax: Response Homogenization in Aligned LLMs and Its Implications for Uncertainty Estimation25 Mar 2026
- 2026Sparse Growing Transformer: Training-Time Sparse Depth Allocation via Progressive Attention Looping25 Mar 2026
- 2026Self-Calibrating Language Models via Test-Time Discriminative Distillation18 Mar 2026
6 more
- 2026Gradient-Stable Attention Heads Signal LLM Correctness14 Feb 2026
- 2026"I May Not Have Articulated Myself Clearly": Diagnosing Dynamic Instability in LLM Reasoning at Inference Time2 Feb 2026
- 2026FaithSCAN: Model-Driven Single-Pass Hallucination Detection for Faithful Visual Question Answering1 Jan 2026
- 2025Chain-of-Thought as a Lens: Evaluating Structured Reasoning Alignment between Human Preferences and Large Language Models9 Nov 2025
- 2025False Fixed Points: Kantian Feedback, Stable Miscalibration, and Representational Compression in LLMs16 Oct 2025
- 2025Semantic Reformulation Entropy for Robust Hallucination Detection in QA Tasks22 Sep 2025
- 2026Gradient-Stable Attention Heads Signal LLM Correctnesscited by 5
- 2025Semantic Reformulation Entropy for Robust Hallucination Detection in QA Taskscited by 4
- 2026Sparse Growing Transformer: Training-Time Sparse Depth Allocation via Progressive Attention Loopingcited by 3
- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answercited by 2
- 2026Self-Calibrating Language Models via Test-Time Discriminative Distillationcited by 1
- 2025False Fixed Points: Kantian Feedback, Stable Miscalibration, and Representational Compression in LLMscited by 0
- 2026Calibrated Confidence Estimation for Tabular Question Answeringcited by 0
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clusteringcited by 0
- 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantificationcited by 0
- 2026Forewarned is Forearmed: When Non-Sequential Embedding Turns Into an Anomaly Detectorcited by 0
- 2026Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantificationcited by 0
- 2026From Tokens to Semantics: Leveraging Complementary Signals for Hallucination Detection in Black-Box LLMscited by 0
- 2026From Tokens to Semantics: Leveraging Complementary Signals for Hallucination Detection in Black-Box LLMs2 Sep 2026
- 2026Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantification18 Jul 2026
- 2026Forewarned is Forearmed: When Non-Sequential Embedding Turns Into an Anomaly Detector29 Jun 2026
- 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantification1 Jun 2026
- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answer21 May 2026
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clustering19 May 2026
- 2026Calibrated Confidence Estimation for Tabular Question Answering14 Apr 2026
- 2026Sparse Growing Transformer: Training-Time Sparse Depth Allocation via Progressive Attention Looping25 Mar 2026
- 2026Self-Calibrating Language Models via Test-Time Discriminative Distillation18 Mar 2026
- 2026Gradient-Stable Attention Heads Signal LLM Correctness14 Feb 2026
- 2025False Fixed Points: Kantian Feedback, Stable Miscalibration, and Representational Compression in LLMs16 Oct 2025
- 2025Semantic Reformulation Entropy for Robust Hallucination Detection in QA Tasks22 Sep 2025