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Uncertainty Estimation on GSM8K

0.951AUROCBSDETECTOR
0.34780.50440.6610.8176Aug 30, 2023Feb 8, 2024Jul 19, 2024Dec 29, 2024Jun 9, 2025Nov 18, 2025Apr 30, 2026

Evaluation results

MethodLinks
BSDETECTORLLM=GPT-3.5 Turbo2023.080.951————
BSDETECTORLLM=Text-Davinci-0032023.080.867————
Self-reflection CertaintyLLM=GPT-3.5 Turbo2023.080.831————
Geometry-Calibrated Conformal AbstentionBackbone=LLaMA-3.2-3B-Instruct2026.040.78———0.42
SelfCheckGPTBackbone=Mistral-7B2026.040.77————
PerplexityBackbone=LLaMA-3.2-3B-Instruct2026.040.77———0.4
SARBackbone=LLaMA-3.2-3B-Instruct2026.040.73———0.39
SemanticBackbone=LLaMA-3.2-3B-Instruct2026.040.73———0.32
ProposedBackbone Model=LLaMA-3-8B-Instruct2026.040.68———0.77
Temperature SamplingLLM=GPT-3.5 Turbo2023.080.66————
EigenBackbone=LLaMA-3.2-3B-Instruct2026.040.65———0.31
Likelihood Based UncertaintyLLM=Text-Davinci-0032023.080.647————
Kernel Lang. Ent.Backbone=Mistral-7B2026.040.637————
SARBackbone Model=LLaMA-3-8B-Instruct2026.040.62———0.7
Temperature SamplingLLM=Text-Davinci-0032023.080.614————
TotalBackbone=Mistral-7B2026.040.61————
SemanticBackbone Model=LLaMA-3-8B-Instruct2026.040.61———0.66
EigenBackbone Model=LLaMA-3-8B-Instruct2026.040.61———0.69
PerplexityBackbone Model=LLaMA-3-8B-Instruct2026.040.6———0.67
SemanticEntropyBackbone=Mistral-7B2026.040.584————
ATRMDBackbone Model=LLaMA-3-8B-Instruct2026.040.58———0.64
AleatoricBackbone=Mistral-7B2026.040.577————
Closeness CentralityBackbone=Mistral-7B2026.040.56————
FocusBackbone=LLaMA-3.2-3B-Instruct2026.040.56———0.2
ATRMDBackbone=LLaMA-3.2-3B-Instruct2026.040.56———0.16
SC Based VCBackbone=Mistral-7B2026.040.555————
SC ScoreBackbone=Mistral-7B2026.040.551————
SC + VCBackbone=Mistral-7B2026.040.544————
Self-reflection CertaintyLLM=Text-Davinci-0032023.080.521————
FocusBackbone Model=LLaMA-3-8B-Instruct2026.040.52———0.63
Max Sequence Prob.Backbone=Mistral-7B2026.040.496————
Token EntropyBackbone=Mistral-7B2026.040.465————
Max Token Prob.Backbone=Mistral-7B2026.040.464————
PerplexityBackbone=Mistral-7B2026.040.462————
Mean Token EntropyBackbone=Mistral-7B2026.040.461————
P(True)Backbone=LLaMA-3.2-3B-Instruct2026.040.46———0.14
AttentionBackbone Model=LLaMA-3-8B-Instruct2026.040.46———0.55
Self CertaintyBackbone=Mistral-7B2026.040.459————
P(True)Backbone Model=LLaMA-3-8B-Instruct2026.040.44———0.55
AttentionBackbone=LLaMA-3.2-3B-Instruct2026.040.39———0.11
PTrueBackbone=Mistral-7B2026.040.371————
DiSEBackbone=LLaDA-Instruct-8B2026.03—0.6330.6440.658—
DiSEBackbone=LLaDA-1.5-8B2026.03—0.610.6160.613—
LLaMA perplexityBackbone=LLaDA-Instruct-8B, Evaluation Model=LLaMA3-Instruct-8B2026.03—0.6750.6050.577—
LLaMA perplexityBackbone=LLaDA-1.5-8B, Evaluation Model=LLaMA3-Instruct-8B2026.03—0.6350.6310.546—
MCBackbone=LLaDA-Instruct-8B, Nmc=12026.03—0.5390.5130.54—
MCBackbone=LLaDA-Instruct-8B, Nmc=322026.03—0.590.5520.595—
MCBackbone=LLaDA-1.5-8B, Nmc=12026.03—0.5160.5590.525—
MCBackbone=LLaDA-1.5-8B, Nmc=322026.03—0.5590.5780.608—