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Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
In particular, we introduce: (1) a mixup barcode, which captures geometric-topological interactions (mixup) between two point sets in arbitrary dimension; (2) simple summary statistics, total mixup and total percentage mixup, which quantify the complexity of the interactions as a single number; (3) a software tool for playing with the above.
Topological Detection of Trojaned Neural Networks
Deep neural networks are known to have security issues.
Streaming Algorithm for Euler Characteristic Curves of Multidimensional Images
In various applications the Euler characteristic curve is used as a descriptor of an image.
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