U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology.
Haibin HangChad GiustiLori ZiegelmeierGregory Henselman-PetrusekPublished in: CoRR (2021)
Keyphrases
- betti numbers
- homology generators
- tensor factorization
- high dimensional
- digital images
- sparse data
- query language
- sparse representation
- compressed sensing
- matrix factorization
- data model
- topological features
- random projections
- low rank
- algebraic operations
- boolean algebra
- data sets
- singular value decomposition
- feature selection
- convex optimization
- sequence analysis
- point correspondences
- pairwise
- decision trees
- rank minimization
- sparse matrices
- kronecker product
- neural network