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Hallucination Detection on Math (test)

98.8AuROCmarginalized energy
38.157653.901369.64585.3887Feb 21, 2026

Evaluation results

MethodLinks
marginalized energyLLM=Mistral, Aggregation Strategy=Min, Notation=Marginal E^m2026.0298.8
spilled energyLLM=Mistral-Instruct, Aggregation Strategy=Min, Notation=Spilled ΔE2026.0295.95
Spilled ΔEModel=Gemma-Instruct 4B, Pool=Min2026.0282.29
Logit EℓModel=Gemma-Instruct 4B, Pool=Max2026.0278.64
Marginal EmModel=Gemma-Instruct 4B, Pool=Min2026.0276.03
Marginal EmModel=Gemma-Instruct 4B, Pool=Max2026.0274.57
Logit EℓModel=Gemma-Instruct 1B, Pool=Max2026.0265.12
Marginal EmModel=Gemma-Instruct 1B, Pool=Max2026.0264.21
Marginal EmModel=Gemma-Instruct 1B, Pool=Min2026.0263.2
Spilled ΔEModel=Gemma-Instruct 1B, Pool=Min2026.0256.82
Spilled ΔEsModel=Gemma-Instruct 4B, Pool=Max2026.0243.94
Spilled ΔEsModel=Gemma-Instruct 1B, Pool=Max2026.0240.49