Topic dossiers03 records
01

Curated research dossier

Bayesian Methods & Statistical Modeling

Essays and projects on Bayesian statistics, nonparametrics, inference, and technical modeling.

01Dossier contents

Essays and projects, read as one inquiry.

2 essays and 1 projects are linked by subject, method, and evidence.

  1. 01EssayMarkov Chain Monte Carlo: Intuition, Algorithms, Diagnostics, and Why the Chain Moves the Way It DoesApr 2026

    A guide to MCMC with interactive visuals: why Bayesian inference becomes an integration problem, how Metropolis-Hastings works, and how geometry shapes mixing and diagnostics.

  2. 02EssayBayesian vs. Frequentist: Two Ways of Thinking About UncertaintyJan 2026

    Two dominant frameworks of statistical inference—Frequentist and Bayesian—start from the same data but differ in what probability means and how uncertainty is quantified.

  3. 03ProjectRegression as an Ill-Posed Inverse Problem Spectral Filters, Regularization, and Runtime Trade-offsRecord