A data-based geometric quantile loss on Hadamard spaces is defined and shown to improve on parameter-based quantiles in consistency, asymptotic normality, robustness, extreme behavior, and computability.
J., Mattiello, J., and LeBihan, D
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A data-based notion of quantiles on Hadamard spaces
A data-based geometric quantile loss on Hadamard spaces is defined and shown to improve on parameter-based quantiles in consistency, asymptotic normality, robustness, extreme behavior, and computability.