Multinomial Naive Bayes Classifier | by Yoann Mocquin | Mar, 2024

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A whole labored instance for text-review classification

On this new put up, we’re going to attempt to perceive how multinomial naive Bayes classifier works and supply working examples with Python and scikit-learn.

What we’ll see:

  • What’s the multinomial distribution: Versus Gaussian Naive Bayes classifiers that depend on assumed Gaussian distribution, multinomial naive Bayes classifiers depend on multinomial distribution.
  • The final method to create classifiers that depend on Bayes theorem, along with the naive assumption that the enter options are unbiased of one another given a goal class.
  • How a multinomial classifier is “fitted” by studying/estimating the multinomial possibilities for every class — utilizing the smoothing trick to deal with empty options.
  • How the possibilities of a brand new pattern are computed, utilizing the log-space trick to keep away from underflow.

All photos by writer.

If you’re already conversant in the multinomial distribution, you possibly can transfer on to the following half.

Illustration of two multinomial distributions (with 10 parameters). These signify the likelihood {that a} given phrase seems in a textual content assessment.

The primary essential step to know the Multinomial Naive Bayes classifier is to know what a multinomial distribution is.

In easy phrases, it represents the possibilities of an experiment that may have a finite variety of outcomes and that’s repeated N instances, for instance, like rolling a cube with 6 faces say 10 instances and counting the variety of instances every face seems. One other instance is counting the variety of occurence every phrase in a vocabulary seem in a textual content.

You can too see the multinomial distribution as an extension of the binomial distribution: aside from tossing a coin with 2 potential outcomes (binomial), you roll a cube with 6 outcomes (multinomial). As for the binomial distribution, the sum of all the possibilities of the potential outcomes should sum to 1. So we might have:

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