Combinatorics

Uncertainty

Common Probability Distributions

Frequentist Probability

Marginal Probability

Conditional Probability

Chain Rule

Independence and Conditional Independence

Bayesian Probability

Random Variable

Probability Distribution

Chain Rule

Autoregressive Conditional Probability

General Notation for Conditional Probability Models

Prediction via Optimization

A language model is analyzing a text corpus of 10,000 two-word phrases. The analysis reveals the following counts:

• The word 'deep' is the first word in 400 phrases.
• The word 'learning' is the second word in 250 phrases.
• The specific phrase 'deep learning' occurs 80 times.

Based on this data, what is the probability that the second word of a phrase is 'learning', given that the first word is 'deep'?

Predictive Text Model Comparison

Interpreting Conditional Probabilities in Text