Timezone: »
We propose a fixed-point iteration approach to the maximum likelihood estimation for the incomplete multinomial model, which provides a unified framework for ranking data analysis. Incomplete observations typically fall in a subset of categories, and thus cannot be distinguished as belonging to a unique category. We develop a minorization--maximization (MM) type of algorithm, which requires relatively fewer iterations and shorter time to achieve convergence. Under such a general framework, incomplete multinomial models can be reformulated to include several well-known ranking models as special cases, such as the Bradley--Terry, Plackett--Luce models and their variants. The simple form of iteratively updating equations in our algorithm involves only basic matrix operations, which makes it efficient and easy to implement with large data. Experimental results show that our algorithm runs faster than existing methods on synthetic data and real data.
Author Information
Chenyang ZHANG (University of Hong Kong)
Guosheng Yin (University of Hong Kong)
Related Events (a corresponding poster, oral, or spotlight)
-
2019 Oral: Fast and Stable Maximum Likelihood Estimation for Incomplete Multinomial Models »
Thu. Jun 13th 06:30 -- 06:35 PM Room Room 201
More from the Same Authors
-
2021 Poster: Crystallization Learning with the Delaunay Triangulation »
Jiaqi Gu · Guosheng Yin -
2021 Spotlight: Crystallization Learning with the Delaunay Triangulation »
Jiaqi Gu · Guosheng Yin -
2019 Poster: Fast Algorithm for Generalized Multinomial Models with Ranking Data »
Jiaqi Gu · Guosheng Yin -
2019 Oral: Fast Algorithm for Generalized Multinomial Models with Ranking Data »
Jiaqi Gu · Guosheng Yin