LLM-BI: Towards Fully Automated Bayesian Inference with Large Language Models

Fuente: arXiv
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Auteur principal: Huang, Yongchao
Format: Preprint
Publié: 2025
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author Huang, Yongchao
author_facet Huang, Yongchao
contents A significant barrier to the widespread adoption of Bayesian inference is the specification of prior distributions and likelihoods, which often requires specialized statistical expertise. This paper investigates the feasibility of using a Large Language Model (LLM) to automate this process. We introduce LLM-BI (Large Language Model-driven Bayesian Inference), a conceptual pipeline for automating Bayesian workflows. As a proof-of-concept, we present two experiments focused on Bayesian linear regression. In Experiment I, we demonstrate that an LLM can successfully elicit prior distributions from natural language. In Experiment II, we show that an LLM can specify the entire model structure, including both priors and the likelihood, from a single high-level problem description. Our results validate the potential of LLMs to automate key steps in Bayesian modeling, enabling the possibility of an automated inference pipeline for probabilistic programming.
format Preprint
id arxiv_https___arxiv_org_abs_2508_08300
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle LLM-BI: Towards Fully Automated Bayesian Inference with Large Language Models
Huang, Yongchao
Artificial Intelligence
A significant barrier to the widespread adoption of Bayesian inference is the specification of prior distributions and likelihoods, which often requires specialized statistical expertise. This paper investigates the feasibility of using a Large Language Model (LLM) to automate this process. We introduce LLM-BI (Large Language Model-driven Bayesian Inference), a conceptual pipeline for automating Bayesian workflows. As a proof-of-concept, we present two experiments focused on Bayesian linear regression. In Experiment I, we demonstrate that an LLM can successfully elicit prior distributions from natural language. In Experiment II, we show that an LLM can specify the entire model structure, including both priors and the likelihood, from a single high-level problem description. Our results validate the potential of LLMs to automate key steps in Bayesian modeling, enabling the possibility of an automated inference pipeline for probabilistic programming.
title LLM-BI: Towards Fully Automated Bayesian Inference with Large Language Models
topic Artificial Intelligence
url https://arxiv.org/abs/2508.08300