liveBook · Manning

Directed acyclic graph

As explained in Inside AI

A directed acyclic graph is a directed graph containing no path that returns to its starting node.

A directed acyclic graph is a directed graph with no path returning to its starting node. It represents relationships that flow between variables without forming cycles. Bayesian networks use this structure to map probabilistic dependencies and show how changes in one event can affect others. section 3.5

Weather prediction

A weather network can connect a clouds node to a rain node with an arrow from clouds to rain. If clouds have a 40% likelihood, the model applies different rain probabilities for cloudy and non-cloudy conditions to estimate possible scenarios. section 3.5

Figure 3.5 An example of a Bayesian network
figure

Use the network figure to inspect how variables and directed dependencies form a Bayesian model. section 3.5

How Inside AI covers it

How deep it goes
Defines the graph structure and its role in Bayesian networks, then stops at a brief weather-probability illustration.
Examples
Uses clouds and rain nodes, directional arrows, and conditional rain probabilities to illustrate weather prediction.
What it assumes
Introduces directed graphs, variables, conditional dependence, and conditional probability within the overview.
What you can do after
Evaluate probabilistic dependencies and trace how evidence about one variable affects related scenarios.
How it connects
Connects directed acyclic graphs with Bayesian networks, conditional probability, probabilistic models, and Bayes’ theorem.

Also explained in

Compare how 15 books explain directed acyclic graph →

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.