lecture 3 probability theory
DESCRIPTION
Statistical methods and Natural Language Processing/Language Technology Notion of Probability Sample Spaces Events Axioms of Probability Theorems of Probability Conditional Probability Independence and IncompatibilityTRANSCRIPT
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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
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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
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Sta6s6cal Methods…
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Natural Language Processing/Language Technology
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The No6on of Probability
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Sample Spaces
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Events
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Composite Experiments
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Axioms of Probability
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Simple Probability: Examples
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Theorems of Probability
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Condi6onal Probability
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Example 1: Dice
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Example 2: Words
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Independence
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Independence: Example 1
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Independence: Example 2
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Independence and Incompa6bility
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The end