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AutoElicit: Using Large Language Models for Expert Prior Elicitation in Predictive Modelling

ICML 2025 · Large language models › Language, safety and interpretability · approach: LLM unlearning and benchmarks · 1 citations (OpenAlex)

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Proposes AutoElicit, which prompts LLMs (GPT-3.5-turbo, GPT-4-turbo, DeepSeek-R1-32B) to elicit Gaussian mixture priors over linear model parameters and compares them with in-context learning and uninformative priors using energy statistics and Bayes factors.

Problem

Eliciting expert priors for linear predictive models is time-consuming and costly, especially in low-resource clinical settings where labelled data is scarce; LLM in-context prediction is costly, opaque, and weak at numerical prediction.

Approach

Ask an LLM for per-feature Gaussian mean and standard deviation over many prompt variants, mix them into a prior over linear model weights, and then perform Bayesian updating with observed labels; also extract the implicit in-context prior/posterior via MLE to test whether ICL behaves Bayesianly and use the Bayes factor for model selection.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use AutoElicit LLM-elicited priors instead of an uninformative priorLinear predictive models · UTIaccuracyHelped
Use AutoElicit LLM-elicited priors instead of an uninformative priorLinear predictive models · Synthetic task: y = 2x1 - x2 + x3MSE: an order of magnitude lower test MSE after 5 observed examplesHelped
Use GPT-3.5-turbo AutoElicit prior instead of an uninformative priorLinear predictive model · Heart Diseasemean posterior accuracyNo clear effect
Use GPT-4-turbo or DeepSeek-R1-32B-Q4 AutoElicit priors instead of an uninformative priorLinear predictive model · Heart Diseasemean posterior accuracyHelped
Use AutoElicit priors instead of in-context learningPredictive models · Tasks testedaccuracy and MSEHelped
Add expert-provided natural-language correlations for previous UTIs, night waking, and bathroom usageAutoElicit · UTIposterior accuracyHelped
Use GPT-3.5-turbo in-context prior instead of its elicited priorGPT-3.5-turbo predictive model · UTI, Heart Disease, Hypothyroid, Diabetes, and Breast Cancerenergy statistic: 0.39; 0.18; 0.15; 0.38; 0.31Mixed
Use in-context learning rather than AutoElicit priorsGPT-3.5-turbo · Diabetesagreement with Bayesian posteriorHelped
Use in-context learning rather than AutoElicit priorsGPT-3.5-turbo · Heart Diseaseagreement with Bayesian posteriorHurt
Use GPT-3.5-turbo in-context learning to imitate a linear modelGPT-3.5-turbo · Breast Cancer and Hypothyroidlinear-model prediction approximation errorHurt

Surprising findings

Limitations

Experimental setup

Datasets: Heart Disease Diabetes Hypothyroid Breast Cancer UTI (private dementia-care sensor data) synthetic linear task y=2x1-x2+x3

Benchmarks: Heart Disease Diabetes Hypothyroid Breast Cancer UTI synthetic linear task

Metrics: posterior accuracy mean squared error energy statistic Bayes factor

Baselines: uninformative prior in-context learning LLM-generated synthetic data pretraining approach

Builds on: in-context learning Bayes factor

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