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Statistical methods and Natural Language Processing/Language Technology Notion of Probability Sample Spaces Events Axioms of Probability Theorems of Probability Conditional Probability Independence and Incompatibility
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Machine Learning for Language Technology Lecture 3: Probability Theory
Marina San6ni Department of Linguis6cs and Philology Uppsala University, Uppsala, Sweden
Autumn 2014
Acknowledgement: Thanks to Prof. Joakim Nivre for course design and materials
Outline • Sta6s6cal methods and Natural Language Processing/Language Technology
• No6on of Probability • Sample Spaces • Events • Axioms of Probability • Theorems of Probability • Condi6onal Probability • Independence and Incompa6bility
Sta6s6cal Methods…
Natural Language Processing/Language Technology
The No6on of Probability
Sample Spaces
Events
Composite Experiments
Axioms of Probability
Simple Probability: Examples
Theorems of Probability
Condi6onal Probability
Example 1: Dice
Example 2: Words
Independence
Independence: Example 1
Independence: Example 2
Independence and Incompa6bility
The end