Elliptically Symmetric Distributions in Signal Processing and Machine Learning

1. Background on real and complex elliptically symmetric distributions.- Part I: Theoretical developments.- 2.The Fisher-Rao geometry of CES distributions.- 3. Linear shrinkage of sample covariance matrix or matrices under elliptical distributions: a review.- 4. Robust estimation with missing values for elliptical distributions.- Part II: Performance analysis.- 5. Semiparametric estimation in elliptical distributions.- 6. Estimation and Detection Under Misspeci?cation and Complex Elliptically Symmetric Distributions.- 7. Performance analysis of subspace-based algorithms in CES data models.- Part III: Applications to machine learning.- 8. Robust Bayesian Cluster Enumeration for RES Distributions.- 9. FEMDA: a unified framework for discriminant analysis.- 10. Learning Graphs from Heavy-tailed Data.

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• Processamento de sinais
• Engenharia electrónica
• Probabilidade e Estatística
• Aprendizagem mecânica

Graph Learning;Linear Shrinkage;Missing Data;Robust Statistics;Elliptical Distribution;Information Geometry;Statistical Signal Processing;Robust Clustering;Subspace-based Algorithms