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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 strategy to create classifiers that depend on Bayes theorem, along with the naive assumption that the enter options are impartial 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 photographs by writer.
In case you are already conversant in the multinomial distribution, you possibly can transfer on to the following half.
The primary vital 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 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.
You can even see the multinomial distribution as an extension of the binomial distribution: apart from tossing a coin with 2 doable outcomes (binomial), you roll a cube with 6 outcomes (multinomial). As for the binomial distribution, the sum of all the possibilities of the doable outcomes should sum to 1. So we might have:
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