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.
Topology and data.Bulletin of the American Mathematical Society, 46(2):255–308
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
verdicts
UNVERDICTED 6representative citing papers
A patch-based TDA approach for CT volumes outperforms cubical complex persistent homology and radiomic features in classification accuracy while reducing computation time.
ABot-M0 unifies heterogeneous robot data into a 6-million-trajectory dataset and introduces Action Manifold Learning to predict stable actions on a low-dimensional manifold using a DiT backbone.
A topological cell-openness index τ derived from Betti numbers is defined to quantify open versus closed cells in porous structures and compared to gas pycnometry.
Dimension-reduced topological features from multichannel iEEG achieve up to 80% balanced accuracy in three-class seizure-state classification across 55 patients, with classical models matching deep learning performance.
Simplex2Vec embeddings are used to compute and visualize community structures in simplicial complexes, with tests on synthetic data and applications to social and brain datasets showing benefits from higher-order interactions.
citing papers explorer
-
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.