computational-inference

Implement Monte Carlo, MCMC, importance sampling, and ABC inference in R and Stan.

Updated Aug 23, 2026
One-click install
npx skills add https://github.com/Data-Wise/scholar --skill computational-inference
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: computational-inference
Source: https://github.com/Data-Wise/scholar/tree/main/src/plugin-api/skills/implementation/computational-inference
Command: npx skills add https://github.com/Data-Wise/scholar --skill computational-inference

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill enables researchers and data scientists to implement and analyze computational inference methods, including Monte Carlo integration, MCMC, importance sampling, and ABC, to solve complex probabilistic models without manual derivations.

Core Features & Use Cases

  • Monte Carlo Methods: approximate expectations and integrals for intractable distributions.
  • MCMC & Gibbs: scalable sampling for high-dimensional Bayesian models.
  • Importance sampling & ABC: flexible inference when likelihoods are difficult to compute.
  • Use Case: Build a Bayesian model for a small dataset and compare posterior estimates using different inference strategies.

Quick Start

To get started, load the included example dataset and run the provided R scripts to perform a basic Bayesian update and compare posterior summaries.

Frequently Asked Questions about computational-inference

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I perform Bayesian inference in R for a model with an intractable likelihood?

You can perform Bayesian inference using Monte Carlo methods, MCMC, and importance sampling. This Skill provides R scripts and utilizes standard packages like rstan to approximate intractable distributions and update posterior estimates without manual derivations.

Can I use Stan with R to compare posterior estimates from different inference strategies?

Yes, you can use Stan with R to compare posterior estimates. The Skill enables you to build a Bayesian model, run provided R scripts for Bayesian updates, and contrast posterior summaries derived from different computational inference strategies.

What is the best way to approximate expectations for high-dimensional Bayesian models?

MCMC and Gibbs sampling are the best ways to approximate expectations for high-dimensional Bayesian models. These scalable sampling methods allow you to perform computational inference and analyze complex probabilistic models effectively within R.

Do I need to know Bayesian statistics to use Approximate Bayesian Computation (ABC)?

Yes, you need prior knowledge of probability and Bayesian statistics to use ABC. The Skill requires this foundation to perform computational inference and flexible approximation when likelihoods are difficult to compute.

When should I use importance sampling instead of MCMC for statistical inference?

Use importance sampling instead of MCMC when dealing with distributions where likelihoods are difficult to compute. Both are available for statistical inference, allowing you to choose the most flexible computational method for your probabilistic model.

Why does computational inference require standard R packages like rstan?

Computational inference requires standard R packages like rstan to execute probabilistic modeling and sampling algorithms. These packages provide the necessary framework for immediate experimentation with Monte Carlo integration and Bayesian data analysis.