ON STATISTICAL MANIFOLDS

By M. C. Chaki. 2000

140 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/fd89644743effe05e5ac88ef03fd405a2a5cecd7

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In Computational Theory and Mathematics

1. A. P. Dawid
2. Siwei Lyu
3. Jürgen Jost

Citations in the corpus

• Perturbation selection and influence measures in local influence analysis (2007, unknown): “LOCAL INFLUENCE ANALYSIS”
• The geometry of proper scoring rules (2007, background): “These constructions and properties, which are special cases of the general theory of Lauritzen (1987a), make (P◦, g, ∇, ∇∗) a dually flat statistical manifold (Amari and Nagaoka, 1982; Lauritzen, 1987b; Amari and Nagaoka, 2000).”
• Information geometry and sufficient statistics (2012, background): “In [27] and [28], Lˆe proved the following variant of the locality condition, which has been asked by Lauritzen [26] and Amari-Nagaoka [4].”
• Unifying Non-Maximum Likelihood Learning Objectives with Minimum KL Contraction (2011, methodology): “In this work, we take the information geometric view of parameter learning - assuming training data are samples from a distribution p ∈ Ωd, we seek an optimal distribution on the statistical manifold corresponding to the parametric distribution family qθ that best approximates p [20].”