
Explore Bayesian statistics and how it differs from classical statistics by incorporating prior beliefs, likelihood, and posterior updates using Bayes' formula, with density functions and real-world examples.
Explore the binomial distribution, a discrete two-outcome model with mean equal to n p and variance calculated differently, illustrated by coin toss data and convergence to normal for large n.
Discover how the Metropolis-Hastings algorithm uses a Markov chain to sample from complex distributions, employing proposals from a normal distribution, acceptance probability, burn-in, and thinning to mitigate autocorrelation.
Explore k means, a clustering algorithm that assigns observations to k clusters and iterates centers until convergence. Learn how to choose the number of clusters and apply the able method.
Please remove the file-extension .txt from "LinearRegression.jl.txt".
Please remove the file-extension .txt from "LinearRegression.ipynb.txt".
In this lecture you will learn to develop a Bayesian Logistic Regression model.
Before using the Julia file you need to rename it by removing the filetype ".txt" (Udemy does not allow to upload jl-files).
Please remove the file-extension .txt from "LogisticRegression.ipynb.txt".
You want to know and to learn one of the top 10 most influencial algorithms of the 20th century? Then you are right in this course. We will cover many powerful techniques from the field of probabilistic programming. This field is fast-growing, because these technique are getting more and more famous and proof to be efficient and reliable.
We will cover all major fields of Probabilistic Programming: Distributions, Markov Chain Monte Carlo, Gaussian Mixture Models, Bayesian Linear Regression, Bayesian Logistic Regression, and hidden Markov models.
For each field, the algorithms are shown in detail: Their core concepts are presented in 101 lectures. Here, you will learn how the algorithm works. Then we implement it together in coding lectures. These are available for Python and Julia. With this knowledge you can clearly identify a problem at hand and develop a plan of attack to solve it.
Mastering this course will enable you to understand the concepts of probabilistic programming and you will be able to apply this in your private and professional projects.