Probabilistic Inference and Learning with Stein's Method

Fuente: arXiv
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Auteurs principaux: Liu, Qiang, Mackey, Lester, Oates, Chris
Format: Preprint
Publié: 2026
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author Liu, Qiang
Mackey, Lester
Oates, Chris
author_facet Liu, Qiang
Mackey, Lester
Oates, Chris
contents This monograph provides a rigorous overview of theoretical and methodological aspects of probabilistic inference and learning with Stein's method. Recipes are provided for constructing Stein discrepancies from Stein operators and Stein sets, and properties of these discrepancies such as computability, separation, convergence detection, and convergence control are discussed. Further, the connection between Stein operators and Stein variational gradient descent is set out in detail. The main definitions and results are precisely stated, and references to all proofs are provided.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07467
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Probabilistic Inference and Learning with Stein's Method
Liu, Qiang
Mackey, Lester
Oates, Chris
Machine Learning
Probability
Statistics Theory
Methodology
This monograph provides a rigorous overview of theoretical and methodological aspects of probabilistic inference and learning with Stein's method. Recipes are provided for constructing Stein discrepancies from Stein operators and Stein sets, and properties of these discrepancies such as computability, separation, convergence detection, and convergence control are discussed. Further, the connection between Stein operators and Stein variational gradient descent is set out in detail. The main definitions and results are precisely stated, and references to all proofs are provided.
title Probabilistic Inference and Learning with Stein's Method
topic Machine Learning
Probability
Statistics Theory
Methodology
url https://arxiv.org/abs/2603.07467