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Showing 1 to 3 of 3 for “"Gromov–Hausdorff distance"”.
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Approximating rotation algebras and inclusions of C*-algebras
… of rotation algebras in the quantum Gromov–Hausdorff distance. We introduce the completely bounded quantum Gromov–Hausdorff distance and show that for even dimensions, the higher dimensional rotation algebras can be approximated by matrix algebras in this sense. Finally, we show that …
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Algorithms for Analyzing Spatio-Temporal Data
… comparing real-valued functions, by computing a distance function between their merge trees (a small-sized descriptor that succinctly captures the sublevel sets of a function). Merge trees are robust to noise in the data, and can be used effectively as proxies for the data sets themselves in some …
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Geometric Multimedia Time Series
… point clouds, which is related to the Gromov-Hausdorff distance.</p><p>Overall, we show a proof-of-concept and promise of the nascent field of geometric signal processing, which is worthy of further study in applications of music structure, multimodal data analysis, and video …