A Bayesian global Fréchet regression method is introduced via a Fréchet Bayes rule that reduces the problem to scalar tasks, allows prior-data interpolation, and remains valid under moment conditions using weak conditional expectations.
Single Index Fréchet Regression
3 Pith papers cite this work. Polarity classification is still indexing.
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A framework maps erosion distributions to Wasserstein space, uses basis expansion to create a multivariate random field, and applies local regression plus Kriging to predict distributions and their functionals at new locations, outperforming alternatives in simulations and applied to Shaanxi provinc
A Fréchet-based random-effects algorithm with M-estimation consistency guarantees is proposed for modeling non-Euclidean random objects in general metric spaces.
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Bayesian Global Fr\'echet Regression via Weak Conditional Expectations
A Bayesian global Fréchet regression method is introduced via a Fréchet Bayes rule that reduces the problem to scalar tasks, allows prior-data interpolation, and remains valid under moment conditions using weak conditional expectations.
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Spatial Prediction of Local Soil Erosion Distribution in the Wasserstein Space
A framework maps erosion distributions to Wasserstein space, uses basis expansion to create a multivariate random field, and applies local regression plus Kriging to predict distributions and their functionals at new locations, outperforming alternatives in simulations and applied to Shaanxi provinc
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Random-Effects Algorithm for Random Objects in Metric Spaces
A Fréchet-based random-effects algorithm with M-estimation consistency guarantees is proposed for modeling non-Euclidean random objects in general metric spaces.