liveBook · Manning

Bayesian statistics

As explained in Inside AI

Bayes' theorem is a probability formula for updating the probability of a hypothesis using new evidence and prior probabilities.

Bayes’ theorem updates the probability assigned to an event or hypothesis when new evidence arrives. It relates conditional probabilities: the chance of B given A is linked to the chance of A given B and the probabilities of A and B. section 3.5

Bayesian networks represent probabilistic dependencies among variables as a directed graph. Each node is a variable, and arrows indicate conditional dependence. section 3.5

Clouds and rain

A weather model can assign a 40% chance of clouds, then estimate rain at 30% when cloudy and 5% when clear. The rain probability depends on the cloud condition. section 3.5

Figure 3.5 An example of a Bayesian network
figure

View a diagram of a Bayesian network. section 3.5

How Inside AI covers it

How deep it goes
Defines conditional-probability updating and illustrates network dependencies with a weather example.
Examples
Uses cloud cover and rain probabilities to illustrate conditional dependence.
What you can do after
Understand how evidence updates event probabilities and how variable dependencies can be represented.
How it connects
Links conditional probability to Bayesian networks and directed acyclic graphs.

Also explained in

Compare how 8 books explain bayesian statistics →

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Inside AI. The section links point to the parts of the book it draws on.