L-fuzzy simplicial homology generalizes simplicial homology to L-fuzzy subcomplexes by assigning values from a completely distributive lattice L to simplices and deriving associated homology modules.
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Mixup barcodes and summary statistics (total mixup, total percentage mixup) are defined to capture geometric-topological interactions between point sets and applied to assess class disentanglement in embeddings.
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L-fuzzy simplicial homology
L-fuzzy simplicial homology generalizes simplicial homology to L-fuzzy subcomplexes by assigning values from a completely distributive lattice L to simplices and deriving associated homology modules.
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Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
Mixup barcodes and summary statistics (total mixup, total percentage mixup) are defined to capture geometric-topological interactions between point sets and applied to assess class disentanglement in embeddings.