Author: Pedro Pessoa

  • 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…

  • Why do we need Bayesian statistics? Part I – Asserting if a coin is biased (tutorial)

    Coins.md Why do we need Bayesian statistics Part I – Asserting if a coin is biased (tutorial) Introduction A short primer on Bayesian statistics Example – The (allegedly) biased coin The synthetic experiment Learning the heads probability through Bayes Credible intervals Mean and standard deviation Conclusion Introduction It is undeniable that there has been an…

  • What is autograd? – Automatic differentiation and optimization with PyTorch

    Welcome file Automatically calculating a gradient The gradient descent method Conclusion In recent years, there has been a marked increase in media and academic attention towards advancements in artificial intelligence, particularly concerning deep neural networks. The most pronounced surge in attention was observed following the release of ChatGPT last November. Although the usage of these…