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Can LLMs Reliably Simulate Human Learner Actions? A Simulation Authoring Framework for Open-Ended Learning Environments
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Proposes Hyp-Mix, a framework that authors LLM-based learner simulations by combining testable marginal distributional hypotheses, and tests GPT-4 Turbo's calibration retention across learner-model edits in the HoloOrbits physics environment.
Problem
LLM-simulated learner actions in open-ended learning environments are sensitive to prompt wording, may regurgitate memorized content, and can be steered by experts (Clever Hans effect), so their reliability for simulation authoring is unestablished.
Approach
Express expert knowledge as marginal distributional hypotheses grouped into hypothesis classes, each with a prompt template calibrated via statistical tests; then check whether calibration holds across five learner-model edit operations without re-engineering the prompt.
Key results
- GPT-4 Turbo maintained calibration in 16 of 18 cases across the learner model edit operations (Ex-Situ Transfer, Variable Swap, LC Swap, Calibration Regression), failing only on Combine Hypotheses for two of three action spaces.
- Learners with minimal geometry proficiency (1/10) produced ~80% productive measurements before a uniform-distribution hypothesis was added, illustrating hyper-accuracy distortion.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Hyp-Mix with calibrated marginal distributional hypotheses across learner-model edits | GPT-4 Turbo learner simulation in HoloOrbits · HoloOrbits, learner-model edits | calibration maintained: 16 of 18 cases | Helped |
| Combine separately calibrated hypotheses into a unified learner model | GPT-4 Turbo learner simulation in HoloOrbits · HoloOrbits, Combine Hypotheses | calibration maintained: two out of three action spaces | Hurt |
Surprising findings
- Minimal-proficiency learners initially produced ~80% productive measurements, contrary to expected uniform behavior, suggesting hyper-accuracy distortion.
- Combining separately calibrated hypotheses was the only operation where calibration was not maintained for two of three action spaces.
Limitations
- Only two learner characteristics (geometry proficiency and persistence) in a single environment (HoloOrbits).
- Only GPT-4 Turbo was tested; generalization to other LLMs, including open-source ones, is untested.
- Combining separately calibrated hypotheses failed calibration in two of three action spaces.
Experimental setup
Benchmarks: HoloOrbits
Metrics: Spearman correlation p-value Chi-squared test p-value
Builds on: chain-of-thought prompting Skill-Mix
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