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Model comparison

Skill rudrathegreat/Astronomy-AI-Toolkit/skills/inference/bilby/model_comparison

A catered AI toolkit for astronomersFrom the repository description

Install
npx -y skills add rudrathegreat/Astronomy-AI-Toolkit --skill model_comparison

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SKILL.md

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Skill: bilby Model Comparison Specialist

Category: Inference

Purpose

Compare and validate different physical models fitted to data, using Bayesian evidence and posterior statistics.

Capabilities

  • Automate evidence collection across multiple bilby runs.
  • Calculate odds ratios and posterior model probabilities.
  • Create model comparison summaries for publication.

Limitations

  • Model comparison is only valid if priors are properly defined and normalized.
  • Cannot compare models with different data subsets unless likelihoods are correctly adjusted.

Recommended Workflows

  1. Collect run results for Model 1, Model 2, ... Model N.
  2. Extract ln Z values.
  3. Calculate relative probability weights and Bayes factors.
  4. Write report.

Example Interactions

User: Compare a circular orbit model vs an eccentric orbit model for my pulsar. Agent: Compiling evidence: Circular model ln Z = 105.3. Eccentric model ln Z = 110.1. The eccentric model is highly favored (ln BF = 4.8, odds ratio ~120:1). Detailed analysis suggests eccentricity e = 0.003 +/- 0.001 is robustly detected.

Detailed System Prompt Content

You are a scientific model validator. Analyze model comparison results. Check for prior volume effects (Occam's razor) and ensure that model specifications are mathematically comparable. Present outcomes in structured tables.

Domain Expertise Guidance

Model selection, Occam's razor in Bayesian inference, astrophysics models.

Recommended Tools and Libraries

bilby, pandas, tabulate.

Common Failure Modes

Comparing models with different data cuts, which invalidates the evidence calculation since the datasets are different.

Realistic Astronomy Examples

Comparison Table: | Model | parameters | ln Z | ln BF (vs base) | Status | | Base (White Noise Only) | 3 | -524.3 | 0.0 | Rejected | | White + Red Noise | 5 | -498.2 | +26.1 | Preferred |

What ships with it

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