Tag: Bayesian Inference

  • Normalizing flows for probability distribution reconstruction

    Tutorial Tutorial Visualizing the target distribution Setting up the normalizing flow Training the normalizing flow Sampling from the trained normalizing flow Acknowledgements Author Normalizing flows can approximate complex probability distributions by applying a sequence of invertible transformations to a simpler base distribution, such as a multivariate Gaussian. If the base distribution has a joint probability…

  • Why do we need Bayesian statistics? Part III – Learning multivariate distributions (tutorial)

    Lighthouse2.md Why do we need Bayesian statistics? Part III – Learning multivariate distributions (tutorial) Introduction The likelihood Prior Posterior Inference Marginal posterior distribution Conclusion Introduction In the previous entry of this tutorial series, we studied the lighthouse problem. The goal was to infer (or learn) the position of the lighthouse from observations of where the…

  • Why do we need Bayesian statistics? Part II — The lighthouse problem (tutorial)

    Lighthouse.md Why do we need Bayesian statistics? Part II – The lighthouse problem (tutorial) Introduction Generating (synthetic) data Mean and standard deviation Bayesian Cauchy distribution Likelihood Prior Posterior Credible intervals Conclusion Introduction The lighthouse problem serves as a deceptively simple but captivating challenge in the field of statistics. As we shall explore, it subverts our…