Overview of Probabilistic Models
Explore generative and discriminative models for classification and regression within the realm of probabilistic modeling.
In the context of supervised learning, it’s more advantageous to predict the distribution of the
Note: A probability distribution is a mathematical function that describes the likelihood of different outcomes occurring in a random experiment. It provides a way to model and quantify the uncertainty associated with various events or values.
The most common approach involves sampling the value with the highest probability, although alternative sampling methods also exist. However, certain models don’t lend themselves easily to
Bayes’ rule
We can express the computation of the target probability distribution of a target variable given an input feature vector , represented as , using Bayes’ rule in the following manner:
Here, represents the probability of event occurring given that event has occurred. This is called the posterior probability. is the probability of event occurring given that event has occurred and is called the likelihood. is the prior probability of event occurring before any new evidence is taken into account, and is the probability of event ...