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- W4226375093 abstract "Measures of similarity (or dissimilarity) are a key ingredient to many machine learning algorithms. We introduce DID, a pairwise dissimilarity measure applicable to a wide range of data spaces, which leverages the data's internal structure to be invariant to diffeomorphisms. We prove that DID enjoys properties which make it relevant for theoretical study and practical use. By representing each datum as a function, DID is defined as the solution to an optimization problem in a Reproducing Kernel Hilbert Space and can be expressed in closed-form. In practice, it can be efficiently approximated via Nystrom sampling. Empirical experiments support the merits of DID." @default.
- W4226375093 created "2022-05-05" @default.
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- W4226375093 date "2022-02-11" @default.
- W4226375093 modified "2023-09-27" @default.
- W4226375093 title "Measuring dissimilarity with diffeomorphism invariance" @default.
- W4226375093 doi "https://doi.org/10.48550/arxiv.2202.05614" @default.
- W4226375093 hasPublicationYear "2022" @default.
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