Bayesian random persistence diagram generation: an application to material microstructure analysis

DOI10.3934/fods.2024018MaRDI QIDQ6620133

Vasileios Maroulas, Na Gong, Farzana Nasrin, A. Lawson, Theodore Papamarkou, Orlando Rios

Publication date: 16 October 2024

Published in: Foundations of Data Science (Search for Journal in Brave)

zbMATH Keywords

Bayesian inferencepairwise interacting point processesmaterial microstructure analysisrandom persistence diagramssingle variable exchange algorithm

Mathematics Subject Classification ID

Bayesian inference (62F15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Topological data analysis (62R40)

Cites Work

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• Signal classification with a point process distance on the space of persistence diagrams
• A random persistence diagram generator
• Modelling persistence diagrams with planar point processes, and revealing topology with bagplots
• Sliding windows and persistence: an application of topological methods to signal analysis
• Modeling and replicating statistical topology and evidence for CMB nonhomogeneity
• A Bayesian Framework for Persistent Homology
• Topological Signal Processing Over Simplicial Complexes
• An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants
• Asymptotics of lower dimensional zero-density regions

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