SPUQ: Perturbation-Based Uncertainty Quantification for Large Language Models
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Abstract (arXiv)
In recent years, large language models (LLMs) have become increasingly prevalent, offering remarkable text generation capabilities. However, a pressing challenge is their tendency to make confidently wrong predictions, highlighting the critical need for uncertainty quantification (UQ) in LLMs. While previous works have mainly focused on addressing aleatoric uncertainty, the full spectrum of uncertainties, including epistemic, remains inadequately explored. Motivated by this gap, we introduce a novel UQ method, sampling with perturbation for UQ (SPUQ), designed to tackle both aleatoric and epistemic uncertainties. The method entails generating a set of perturbations for LLM inputs, sampling outputs for each perturbation, and incorporating an aggregation module that generalizes the sampling uncertainty approach for text generation tasks. Through extensive experiments on various datasets, we investigated different perturbation and aggregation techniques. Our findings show a substantial improvement in model uncertainty calibration, with a reduction in Expected Calibration Error (ECE) by 50% on average. Our findings suggest that our proposed UQ method offers promising steps toward enhancing the reliability and trustworthiness of LLMs.
Key facts. Cited by 54 papers in the map (data through 7 Oct 2026). Builds on 22 of its 31 references that are in the map. First posted on arXiv 4 Mar 2024.
Builds on
22 of 31 references.
References · 22
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- 2019Sentence-BERT: Sentence Embeddings using Siamese BERT-Networkscited by 9,049
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
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- 2022Language Models (Mostly) Know What They Knowcited by 1,783
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- 2019Aleatoric and Epistemic Uncertainty in Machine Learning: An Introduction to Concepts and Methodscited by 903
- 2020A Review of Uncertainty Quantification in Deep Learning: Techniques, Applications and Challengescited by 813
- 2021Did Aristotle Use a Laptop? A Question Answering Benchmark with Implicit Reasoning Strategiescited by 736
- 2022Teaching Models to Express Their Uncertainty in Wordscited by 731
- 2018CoQA: A Conversational Question Answering Challengecited by 674
- 2023How Language Model Hallucinations Can Snowballcited by 310
- 2022Prompting GPT-3 To Be Reliablecited by 258
- 2023How Robust is GPT-3.5 to Predecessors? A Comprehensive Study on Language Understanding Taskscited by 58
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- 2021Exploiting epistemic uncertainty of the deep learning models to generate adversarial samplescited by 12
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Citing papers per year: 2024: 7; 2025: 21; 2026: 26.
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- 2025Uncertainty Quantification and Confidence Calibration in Large Language Models: A Surveycited by 93
- 2024Latent Space Chain-of-Embedding Enables Output-free LLM Self-Evaluationcited by 56
- 2025Calibrating Verbal Uncertainty as a Linear Feature to Reduce Hallucinationscited by 48
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- 2025Enhancing Hallucination Detection through Noise Injectioncited by 13
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- 2025Textual Bayes: Quantifying Prompt Uncertainty in LLM-Based Systemscited by 8
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- 2026Efficient Epistemic Uncertainty Estimation for Large Language Models via Knowledge Distillationcited by 1
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- 2026Conf-Gen: Conformal Uncertainty Quantification for Generative Models27 May 2026
- 2026Localizing Input Uncertainty Quantification for Large Language Models via Shapley Values27 May 2026
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- 2026Complementing Self-Consistency with Cross-Model Disagreement for Uncertainty Quantification18 Apr 2026
- 2026Calibrated Confidence Estimation for Tabular Question Answering14 Apr 2026
- 2026GRADE: Probing Knowledge Gaps in LLMs through Gradient Subspace Dynamics3 Apr 2026
- 2026Verbalizing LLM's Higher-order Uncertainty via Imprecise Probabilities11 Mar 2026
- 2026Finding the Cracks: Improving LLMs Reasoning with Paraphrastic Probing and Consistency Verification11 Feb 2026
- 2026From Out-of-Distribution Detection to Hallucination Detection: A Geometric View6 Feb 2026
- 2026Directional Concentration Uncertainty: A representational approach to uncertainty quantification for generative models4 Feb 2026
- 2026Semantic Self-Distillation for Language Model Uncertainty4 Feb 2026
- 2026Efficient Epistemic Uncertainty Estimation for Large Language Models via Knowledge Distillation2 Feb 2026
- 2026Semantic Uncertainty Quantification of Hallucinations in LLMs: A Quantum Tensor Network Based Method27 Jan 2026
- 2026Recurrent Confidence Chain: Temporal-Aware Uncertainty Quantification in Large Language Models19 Jan 2026
- 2026VideoHEDGE: Entropy-Based Hallucination Detection for Video-VLMs via Semantic Clustering and Spatiotemporal Perturbations13 Jan 2026
- 2025Improving Semantic Uncertainty Quantification in LVLMs with Semantic Gaussian Processes16 Dec 2025
- 2025Epistemic Familiarity is Associated With Belief Stability in Large Language Models24 Nov 2025
- 2025HEDGE: Hallucination Estimation via Dense Geometric Entropy for VQA with Vision-Language Models16 Nov 2025
- 2025Exploring Membership Inference Vulnerabilities in Clinical Large Language Models21 Oct 2025
- 2025Uncertainty-Aware Calibrated Clinical Text Classification with Large Language Models19 Sep 2025
- 2025D2HScore: Reasoning-Aware Hallucination Detection via Semantic Breadth and Depth Analysis in LLMs15 Sep 2025
- 2025Semantic Energy: Detecting LLM Hallucination Beyond Entropy20 Aug 2025
- 2025Toward Efficient Uncertainty in LLMs through Evidential Knowledge Distillation24 Jul 2025
- 2025MUR: Momentum Uncertainty guided Reasoning for Large Language Models20 Jul 2025
- 2025CoRE: Enhancing Metacognition with Label-free Self-evaluation in LRMs8 Jul 2025
- 2025The Consistency Hypothesis in Uncertainty Quantification for Large Language Models27 Jun 2025
- 2025Textual Bayes: Quantifying Prompt Uncertainty in LLM-Based Systems11 Jun 2025
- 2025Inv-Entropy: A Fully Probabilistic Framework for Uncertainty Quantification in Language Models11 Jun 2025
- 2025Communication-Efficient Hybrid Language Model via Uncertainty-Aware Opportunistic and Compressed Transmission17 May 2025
- 2025Uncertainty Profiles for LLMs: Uncertainty Source Decomposition and Adaptive Model-Metric Selection12 May 2025
- 2025Comparing Uncertainty Measurement and Mitigation Methods for Large Language Models: A Systematic Review25 Apr 2025
- 2025Uncertainty Quantification and Confidence Calibration in Large Language Models: A Survey20 Mar 2025
- 2025Calibrating Verbal Uncertainty as a Linear Feature to Reduce Hallucinations18 Mar 2025
- 2025PCS: Perceived Confidence Scoring of Black Box LLMs with Metamorphic Relations11 Feb 2025
- 2025Enhancing Hallucination Detection through Noise Injection6 Feb 2025
- 2025Understanding Model Calibration -- A gentle introduction and visual exploration of calibration and the expected calibration error (ECE)31 Jan 2025
- 2024Variability Need Not Imply Error: The Case of Adequate but Semantically Distinct Responses20 Dec 2024
- 2024Rethinking Uncertainty Estimation in LLMs: A Principled Single-Sequence Measure19 Dec 2024
- 2024Uncertainty-Aware Hybrid Inference with On-Device Small and Remote Large Language Models17 Dec 2024
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- 2025Uncertainty Quantification and Confidence Calibration in Large Language Models: A Surveycited by 93
- 2024Rethinking Uncertainty Estimation in LLMs: A Principled Single-Sequence Measurecited by 18
- 2025MUR: Momentum Uncertainty guided Reasoning for Large Language Modelscited by 17
- 2026Complementing Self-Consistency with Cross-Model Disagreement for Uncertainty Quantificationcited by 9
- 2025CoRE: Enhancing Metacognition with Label-free Self-evaluation in LRMscited by 5
- 2025D2HScore: Reasoning-Aware Hallucination Detection via Semantic Breadth and Depth Analysis in LLMscited by 5
- 2026Recurrent Confidence Chain: Temporal-Aware Uncertainty Quantification in Large Language Modelscited by 4
- 2026Finding the Cracks: Improving LLMs Reasoning with Paraphrastic Probing and Consistency Verificationcited by 2
- 2026Sanity Checks for Long-Form Hallucination Detectioncited by 0
- 2026Sanity Checks for Long-Form Hallucination Detection8 May 2026
- 2026Complementing Self-Consistency with Cross-Model Disagreement for Uncertainty Quantification18 Apr 2026
- 2026Finding the Cracks: Improving LLMs Reasoning with Paraphrastic Probing and Consistency Verification11 Feb 2026
- 2026Recurrent Confidence Chain: Temporal-Aware Uncertainty Quantification in Large Language Models19 Jan 2026
- 2025D2HScore: Reasoning-Aware Hallucination Detection via Semantic Breadth and Depth Analysis in LLMs15 Sep 2025
- 2025MUR: Momentum Uncertainty guided Reasoning for Large Language Models20 Jul 2025
- 2025CoRE: Enhancing Metacognition with Label-free Self-evaluation in LRMs8 Jul 2025
- 2025Uncertainty Quantification and Confidence Calibration in Large Language Models: A Survey20 Mar 2025
- 2024Rethinking Uncertainty Estimation in LLMs: A Principled Single-Sequence Measure19 Dec 2024
- 2025HEDGE: Hallucination Estimation via Dense Geometric Entropy for VQA with Vision-Language Modelscited by 5
- 2025Improving Semantic Uncertainty Quantification in LVLMs with Semantic Gaussian Processescited by 3
- 2026VideoHEDGE: Entropy-Based Hallucination Detection for Video-VLMs via Semantic Clustering and Spatiotemporal Perturbationscited by 1
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generationcited by 0
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generation26 May 2026
- 2026VideoHEDGE: Entropy-Based Hallucination Detection for Video-VLMs via Semantic Clustering and Spatiotemporal Perturbations13 Jan 2026
- 2025Improving Semantic Uncertainty Quantification in LVLMs with Semantic Gaussian Processes16 Dec 2025
- 2025HEDGE: Hallucination Estimation via Dense Geometric Entropy for VQA with Vision-Language Models16 Nov 2025
- 2026Beyond Consensus: Trace-Level Synthesis in Mixture of Agents27 May 2026
- 2024Latent Space Chain-of-Embedding Enables Output-free LLM Self-Evaluationcited by 56
- 2025Calibrating Verbal Uncertainty as a Linear Feature to Reduce Hallucinationscited by 48
- 2024DYNAMICQA: Tracing Internal Knowledge Conflicts in Language Modelscited by 34
- 2025Understanding Model Calibration -- A gentle introduction and visual exploration of calibration and the expected calibration error (ECE)cited by 20
- 2024Uncertainty-Aware Hybrid Inference with On-Device Small and Remote Large Language Modelscited by 18
- 2025Semantic Energy: Detecting LLM Hallucination Beyond Entropycited by 18
- 2025Enhancing Hallucination Detection through Noise Injectioncited by 13
- 2025Textual Bayes: Quantifying Prompt Uncertainty in LLM-Based Systemscited by 8
- 2025Inv-Entropy: A Fully Probabilistic Framework for Uncertainty Quantification in Language Modelscited by 6
- 2025The Consistency Hypothesis in Uncertainty Quantification for Large Language Modelscited by 6
- 2024Functional-level Uncertainty Quantification for Calibrated Fine-tuning on LLMscited by 5
- 2024Understanding The Effect Of Temperature On Alignment With Human Opinionscited by 4
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- 2026Semantic Uncertainty Quantification Needs Factual Equivalence28 Sep 2026
- 2026Toward a Graded Measure of Belief Stability in Large Language Models28 Sep 2026
- 2026Pinocchio: Fast Uncertainty Estimates for Black-Box Language Models21 Sep 2026
- 2026Improved Confidence Estimates for Black-Box Large Language Models19 Aug 2026
- 2026A Systematic Evaluation of Black-Box Uncertainty Estimation Methods for Large Language Models18 Jun 2026
- 2026CaliDist: Calibrating Large Language Models via Behavioral Robustness to Distraction4 Jun 2026
- 2026FLaG: Fine-Grained Latent Grouping for Hallucination Detection29 May 2026
- 2026Conf-Gen: Conformal Uncertainty Quantification for Generative Models27 May 2026
- 2026Localizing Input Uncertainty Quantification for Large Language Models via Shapley Values27 May 2026
- 2026ECUASn: A family of metrics for principled evaluation of uncertainty-augmented systems19 May 2026
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clustering19 May 2026
- 2026Calibrated Confidence Estimation for Tabular Question Answering14 Apr 2026
12 newest of 39 All 39 (JSON)