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Axiomatic Examination • Proposition. The Wilson Interval method violates both Axiom 1 and Axiom 2.
Axiomatic Examination • Theorem. The Dirichlet Prior smoothing method satisfies both Axiom 1 and Axiom 2. – Corollary 1. The Laplace smoothing method … – Corollary 2. The Lidstone smoothing method …
Axiomatic Examination
Conclusions • Contribution – An Information Retrieval Approach to User-Rating based Ranking of Items • Probability Ranking Principle • Statistical Language Modelling
– An Axiomatic Examination of the Existing and Proposed Methods • Increasing Total Utility • Decreasing Marginal Utility
Dirichlet Prior smoothing
Conclusions • Generalisations – Graded Ratings • => Multiple Thumb-Ups and Thumb-Downs – In a 5-star system: *** = 3↑ + 2↓
• Learning the Weights from Click-Through Data
– Ageing of User-Ratings • Time-Sensitive Language Modelling (ICTIR-2009)
