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

March 14, 2024
in Artificial Intelligence
Reading Time: 3 mins read
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A whole labored instance for text-review classification

Yoann Mocquin
Towards Data Science

On this new submit, 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 overall strategy 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 chances for every class — utilizing the smoothing trick to deal with empty options.How the chances of a brand new pattern are computed, utilizing the log-space trick to keep away from underflow.

All photos by creator.

In case you are already accustomed to the multinomial distribution, you’ll be able to 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 evaluation.

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

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

It’s also possible to see the multinomial distribution as an extension of the binomial distribution: apart from tossing a coin with 2 attainable outcomes (binomial), you roll a cube with 6 outcomes (multinomial). As for the binomial distribution, the sum of all the chances of the attainable outcomes should sum to 1. So we might have:

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Tags: BayesClassifierMarMocquinMultinomialNaiveYoann
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