Normalized Entropy
Normalized Entropy
- Normalized Entropy is a metric that takes into account the maximum possible value of Entropy and returns a normalized measure of the uncertainty associated with the variable:
Example
In this new example, we now compare the variables X1 and X2, which each represent ball colors:
- X1 ∈ {blue, red}
- X2 ∈ {blue, red, green, yellow, purple, orange, brown, black}
Normalized Entropy allows us to compare the degree of uncertainty even though these two variables have different numbers of states, i.e., two versus eight states:
Usage
In BayesiaLab, the values of Entropy and Normalized Entropy can be accessed in a number of ways:
- In Validation Mode , with the Information Mode activated, hovering over a Monitor with your cursor will bring up a Tooltip that includes Entropy and Normalized Entropy.
- You can also sort the Monitors in the Monitor Panel according to their Normalized Entropy via
Monitor Context Menu > Sort > Normalized Entropy
.
- The Normalized Entropy is also available as a Node Analysis metric for Size and Color in the 2D and 3D Mapping Tools.
- In Function Nodes, Entropy and Normalized Entropy are available as Inference Functions in the Equation tab.
- Entropy:
Entropy(?X1?, False)
- Normalized Entropy:
Entropy(?X1?, True)
- Entropy: