Howtosignalprocessing
If you insist in including symbols with zero probability, then 0log(0)=0 by convention.
- What is entropy when probability is 0?
- Is entropy always between 0 and 1?
- How do you calculate entropy?
- Why do we use log2 in entropy?
What is entropy when probability is 0?
The entropy formula agrees with this assessment: Adding a zero-probability outcome has not effect on entropy. In words, adding an outcome with zero probability has no effect on the measurement of uncertainty.
Is entropy always between 0 and 1?
Entropy is measured between 0 and 1. (Depending on the number of classes in your dataset, entropy can be greater than 1 but it means the same thing , a very high level of disorder.
How do you calculate entropy?
Entropy changes (ΔS) are estimated through relation ΔG=ΔH−TΔS for finite variations at constant T.
Why do we use log2 in entropy?
If the base of the logarithm is b, we denote the entropy as Hb(X). If the base of the logarithm is e, the entropy is measured in nats. Unless otherwise specified, we will take all logarithms to base 2, and hence all the entropies will be measured in bits.
