Optimal transport and variational Bayesian inference

DOI10.1016/j.ijar.2023.109022OpenAlexW4386521729MaRDI QIDQ6066851

Alireza Bahraini, Saeed Sadeghi

Publication date: 16 November 2023

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2023.109022

zbMATH Keywords

Ricci curvatureoptimal transportGaussian mixture modelgeodesic convexityMFVI

Mathematics Subject Classification ID

Bayesian inference (62F15) Optimal transportation (49Q22) Differential geometry (53-XX)

Cites Work

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• Stability of a 4th-order curvature condition arising in optimal transport theory
• A convexity principle for interacting gases
• An introduction to variational methods for graphical models
• Ricci curvature for metric-measure spaces via optimal transport
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Transport inequalities, gradient estimates, entropy and Ricci curvature
• Polar factorization and monotone rearrangement of vector‐valued functions
• On Choosing and Bounding Probability Metrics
• Riemannian Gaussian Distributions on the Space of Symmetric Positive Definite Matrices
• Polar factorization of maps on Riemannian manifolds

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