How does mutual information quantize the amount of information?
More specifically, it quantifies the ” amount of information ” (in units such as shannons ( bits ), nats or hartleys) obtained about one random variable through observing the other random variable.
How is mutual information measured in probability theory?
In probability theoryand information theory, the mutual information(MI) of two random variablesis a measure of the mutual dependencebetween the two variables. More specifically, it quantifies the “amount of information” (in unitssuch as shannons, commonly called bits) obtained about one random variable through observing the other random variable.
When do you use double integral for mutual information?
In the case of jointly continuous random variables, the double sum is replaced by a double integral: respectively. If the log base 2 is used, the units of mutual information are bits . share: It measures how much knowing one of these variables reduces uncertainty about the other.
How is mutual information used in signal processing?
Mutual information is also used in the area of signal processing as a measure of similarity between two signals. For example, FMI metric [17] is an image fusion performance measure that makes use of mutual information in order to measure the amount of information that the fused image contains about the source images.
Which is a measure of mutual information between two random variables?
Mutual information is a measure between two (possibly multi-dimensional) random variables and , that quantifies the amount of information obtained about one random variable, through the other random variable. The mutual information is given by.
When is the adjusted mutual information ( AMI ) zero?
The adjusted mutual information or AMI subtracts the expectation value of the MI, so that the AMI is zero when two different distributions are random, and one when two distributions are identical. The AMI is defined in analogy to the adjusted Rand index of two different partitions of a set.