<!DOCTYPE html> Data Science Capstone: Predicting the Next Word

Data Science Capstone: Predicting the Next Word

Amyas Walji
November, 2019

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Overview

The recent advances in mobile technology have enabled people to stay connected on the go. However, to communicate by text swiftly without error on a smartphone keyboard is rather challenging without any language prediction.

In this backdrop, the purpose of the Data Science Capstone project was to develop a data product which uses natural language processing to predict the next word a user may want to type. A shiny application serves as the final product for this project.

The application is available at the following link: Shiny App.

Model and algorithm

The prediction algorithm developed is based on an N-Gram Language Model. This model uses a Markov Assumption in which each word depends only on the previous N words in a given string of text. For this project a series of four N-gram models have been constructed:

  • Unigram: previous words do not matter
  • Bigram: only the previous word matters
  • Trigram: only the previous two words matter
  • Quadgram: only the previous three words matter.

Given this dictionary of N-grams, the probability for possible next words is calculated through Maximum-Likelihood Estimation combined with Good Turing Smoothing. Depending on the length of text input, the prediction algorithm selects candidates from appropriately ranked N-grams. This mechanism is known as the “The Stupid Backoff algorithm”, a highly efficient and inexpensive algorithm proposed by Thorsten Brants et al (2007).

The Application

<img 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” style=“width:105%”

The user is presented with a text input box which when filled out with a word or short phrase returns:

  • A top prediction
  • A dynamic table suggesting possible next words
  • A word cloud visualizing the predictions.

The Shiny app dashboard:

  • Offers an intuitive and simple graphical user interface
  • Can easily be adapted for educational and commercial uses.

Thanks!

Shiny App
Link.

Shiny App Source Code on Github
Link.

Data Science Capstone on Coursera
Link.

References Thorsten Brants, Ashok C. Popat, Peng Xu, Franz J. Och, Jeffrey Dean. (2007), Large language models in machine translation. In Proceedings of the 2007 Joint Conference on Empirical Methods in Natural Language Processing and Computational Language Learning, pages 858-867.