## Is mutual information a measure of correlation?

Correlation analysis provides a quantitative means of measuring the strength of a linear relationship between two vectors of data. Mutual information is essentially the measure of how much “knowledge” one can gain of a certain variable by knowing the value of another variable.

## Is mutual information better than correlation?

Mutual information, like entropy, is measured in bits. It is considered more general than correlation and handles nonlinear dependencies and discrete random variables.

**How is mutual information calculated?**

The mutual information between two random variables X and Y can be stated formally as follows: I(X ; Y) = H(X) – H(X | Y)

**How do you read mutual information values?**

High mutual information indicates a large reduction in uncertainty; low mutual information indicates a small reduction; and zero mutual information between two random variables means the variables are independent.

### What is NMI score?

Normalized Mutual Information (NMI) is a normalization of the Mutual Information (MI) score to scale the results between 0 (no mutual information) and 1 (perfect correlation).

### What is a good mutual information score?

The MI score will fall in the range from 0 to 1. The higher value, the closer connection between this feature and the target, suggests that we should put this feature in the training dataset. If the MI score is 0 or very low like 0.01. the low score suggests a weak connection between this feature and the target.

**What does a negative PMI mean?**

A PMI(x,y) = 0 means that the particular values of x and y are statistically independent; positive PMI means they co-occur more frequently than would be expected under an independence assumption, and negative PMI means they cooccur less frequently than would be expected.

**What is a good mutual Info score?**

## What is the range of mutual information?

Mutual Information I(X,Y) yelds values from 0 (no mutual information – variables X and Y are independent) to +∞. The higher the I(X,Y), the more information is shared between X and Y. However, high values of mutual information might be unintuitive and hard to interpret due to its unbounded range of values I(X,Y)∈[0…

## What does mutual information score mean?

The Mutual Information score expresses the extent to which observed frequency of co-occurrence differs from what we would expect (statistically speaking). In statistically pure terms this is a measure of the strength of association between words x and y.