HiBayES: A Hierarchical Bayesian Modeling Framework for AI Evaluation Statistics

Fuente: arXiv
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Autores principales: Luettgau, Lennart, Coppock, Harry, Dubois, Magda, Summerfield, Christopher, Ududec, Cozmin
Formato: Preprint
Publicado: 2025
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author Luettgau, Lennart
Coppock, Harry
Dubois, Magda
Summerfield, Christopher
Ududec, Cozmin
author_facet Luettgau, Lennart
Coppock, Harry
Dubois, Magda
Summerfield, Christopher
Ududec, Cozmin
contents As Large Language Models (LLMs) and other AI systems evolve, robustly estimating their capabilities from inherently stochastic outputs while systematically quantifying uncertainty in these estimates becomes increasingly important. Further, advanced AI evaluations often have a nested hierarchical structure, exhibit high levels of complexity, and come with high costs in testing the most advanced AI systems. To address these challenges, we introduce HiBayES, a generalizable Hierarchical Bayesian modeling framework for AI Evaluation Statistics. HiBayES supports robust inferences in classical question-answer benchmarks and advanced agentic evaluations, particularly in low-data scenarios (e.g., < 20 data points per evaluation). Built on Generalized Linear Models (GLMs), Bayesian data analysis, and formal model comparison, HiBayES provides principled uncertainty quantification and robust parameter estimation. This paper offers a comprehensive introduction to HiBayES, including illustrative examples, comparisons to conventional statistical methods, and practical guidance for implementing multilevel Bayesian GLMs. Additionally, we provide a HiBayES software package [4] (Beta version) for out-of-the-box implementation.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05602
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle HiBayES: A Hierarchical Bayesian Modeling Framework for AI Evaluation Statistics
Luettgau, Lennart
Coppock, Harry
Dubois, Magda
Summerfield, Christopher
Ududec, Cozmin
Artificial Intelligence
Applications
As Large Language Models (LLMs) and other AI systems evolve, robustly estimating their capabilities from inherently stochastic outputs while systematically quantifying uncertainty in these estimates becomes increasingly important. Further, advanced AI evaluations often have a nested hierarchical structure, exhibit high levels of complexity, and come with high costs in testing the most advanced AI systems. To address these challenges, we introduce HiBayES, a generalizable Hierarchical Bayesian modeling framework for AI Evaluation Statistics. HiBayES supports robust inferences in classical question-answer benchmarks and advanced agentic evaluations, particularly in low-data scenarios (e.g., < 20 data points per evaluation). Built on Generalized Linear Models (GLMs), Bayesian data analysis, and formal model comparison, HiBayES provides principled uncertainty quantification and robust parameter estimation. This paper offers a comprehensive introduction to HiBayES, including illustrative examples, comparisons to conventional statistical methods, and practical guidance for implementing multilevel Bayesian GLMs. Additionally, we provide a HiBayES software package [4] (Beta version) for out-of-the-box implementation.
title HiBayES: A Hierarchical Bayesian Modeling Framework for AI Evaluation Statistics
topic Artificial Intelligence
Applications
url https://arxiv.org/abs/2505.05602