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The fill-in-the-blank format threw me off more than the actual math did.
First, clarify the problem and the template structure, then outline the Naive Bayes algorithm step by step, focusing on how to compute priors and posteriors. Implement the solution by filling in the blanks, ensuring correct handling of probabilities and edge cases.
Pro tip: Demonstrate awareness of numerical stability by using log probabilities to avoid underflow, and mention how to handle unseen features with Laplace smoothing.
Review the code template to identify the blanks and understand the expected inputs and outputs. Clarify any ambiguities about the dataset or assumptions.
Calculate the prior probability for each class by counting the frequency of each class in the training data and dividing by the total number of instances.
For each feature and class, compute the conditional probability of the feature given the class, applying Laplace smoothing to handle zero counts.
For a given instance, compute the posterior probability for each class by multiplying the prior with the likelihoods of each feature (or summing logs). Normalize if needed.
Predict the class with the highest posterior probability. Test the implementation with simple cases to ensure correctness and discuss potential improvements.
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