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- W3135217630 abstract "Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images represented as histograms of oriented gradients. Viewing a discrete probability distribution as a point in the standard simplex of the appropriate dimension, we can understand collections of such objects in geometric and topological terms. Importantly, instead of using the standard Euclidean distance, we look into dissimilarity measures with information-theoretic justification, and we develop the theory needed for applying topological data analysis in this setting. In doing so, we emphasize constructions that enable the usage of existing computational topology software in this context." @default.
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- W3135217630 date "2019-01-01" @default.
- W3135217630 modified "2023-09-27" @default.
- W3135217630 title "Topological data analysis in information space" @default.
- W3135217630 doi "https://doi.org/10.20382/jocg.v11i2a7" @default.
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