Search Results for author: Oksana Berezniuk

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A scale-dependent notion of effective dimension

no code implementations29 Jan 2020 Oksana Berezniuk, Alessio Figalli, Raffaele Ghigliazza, Kharen Musaelian

We introduce a notion of "effective dimension" of a statistical model based on the number of cubes of size $1/\sqrt{n}$ needed to cover the model space when endowed with the Fisher Information Matrix as metric, $n$ being the number of observations.

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