Mathematical Notation for a Classifier in a Text Classification System

Example of Text for Polarity Classification

A system is designed to classify customer reviews as 'positive' or 'negative'. The system operates in two stages: first, a component converts the review's text into a detailed numerical vector that captures its meaning. Second, another component takes this vector as input, calculates a score for the 'positive' label and a score for the 'negative' label, and then outputs the label with the higher score. If this system processes the review 'The service was impeccable!', which component is directly responsible for the final decision to label the review as 'positive'?

A system is designed to determine if a movie review is 'positive' or 'negative'. Arrange the following steps in the correct logical order, from the initial input to the final output.

Diagnosing a Text Classification System Failure