Anomaly detection in the probability simplex under different geometries

DOI10.1007/s41884-023-00107-yOpenAlexW4381571140MaRDI QIDQ6060851

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Publication date: 6 November 2023

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41884-023-00107-y

zbMATH Keywords

information geometryanomaly detectionprobability simplex

Mathematics Subject Classification ID

Statistics (62-XX) Multivariate analysis (62Hxx) Communication, information (94Axx)

Cites Work

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• Computational Optimal Transport: With Applications to Data Science
• Clustering by Passing Messages Between Data Points
• A Mathematical Theory of Communication
• The Jensen-Shannon divergence
• Novelty detection: a review. I. Statistical approaches
• Novelty detection: a review. II. Neural network based approaches
• A shape distance based on the Fisher-Rao metric and its application for shapes clustering
• Distance geometry and data science
• Data science vs. statistics: two cultures?
• Local outlier detection reconsidered: a generalized view on locality with applications to spatial, video, and network outlier detection
• Statistical data analysis in the Wasserstein space
• Principal component analysis of compositional data
• Least squares quantization in PCM
• Clustering in Hilbert’s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices
• A survey on unsupervised outlier detection in high‐dimensional numerical data
• The Many Faces of Information Geometry
• Compositional Data Analysis in Practice
• Nonlinear Dimensionality Reduction
• Sample Criteria for Testing Outlying Observations
• Optimal Transport
• Encyclopedia of Distances
• From the simplex to the sphere: faster constrained optimization using the Hadamard parametrization