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- W4287978504 abstract "We want to approximate general multivariate probability density functions by deterministic sample sets. For optimal sampling, the closeness to the given continuous density has to be assessed. This is a difficult challenge in multivariate settings. Simple solutions are restricted to the one-dimensional case. In this paper, we propose to employ one-dimensional density projections. These are the Radon transforms of the densities. For every projection, we compute their cumulative distribution function. These Projected Cumulative Distributions (PCDs) are compared for all possible projections (or a discrete set thereof). This leads to a tractable distance measure in multivariate space. The proposed approximation method is efficient as calculating the distance measure mainly entails sorting in one dimension. It is also surprisingly simple to implement." @default.
- W4287978504 created "2022-07-26" @default.
- W4287978504 creator A5055331421 @default.
- W4287978504 date "2019-12-30" @default.
- W4287978504 modified "2023-10-14" @default.
- W4287978504 title "Deterministic Sampling of Multivariate Densities based on Projected Cumulative Distributions" @default.
- W4287978504 doi "https://doi.org/10.48550/arxiv.1912.12875" @default.
- W4287978504 hasPublicationYear "2019" @default.
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