\(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets
DOI10.1007/s00454-021-00319-yzbMath1496.55005OpenAlexW3191007611MaRDI QIDQ2671178
Anastasios Stefanou, Francisco Belchí
Publication date: 3 June 2022
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-021-00319-y
stabilityMassey productsloop spaceslinking numbercup productBetti numbersfunctorialitypersistent homologyinterleaving distancepersistent cohomologybottleneck distanceformal spacesgeometric estimation\(A_\infty\)-algebra\(A_\infty\)-coalgebraapplied algebraic topologytopological data analysis (TDA)\(A_\infty\)-persistence\(A_\infty\)-persistent homologytopological estimation
Persistent homology and applications, topological data analysis (55N31) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to statistics (62-00) General topics in computing methodologies (68U01) Applied homological algebra and category theory in algebraic topology (55Uxx)
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Cites Work
- Unnamed Item
- Confidence sets for persistence diagrams
- Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
- Homotopie rationelle: modèles de Chen, Quillen, Sullivan
- Stability of persistence diagrams
- Metrics for generalized persistence modules
- On the local behavior of spaces of natural images
- Natural pseudo-distance and optimal matching between reduced size functions
- Size homotopy groups for computation of natural size distances
- Computing persistent homology
- A higher homotopic extension of persistent (co)homology
- Surface reconstruction by Voronoi filtering
- Topological persistence and simplification
- \(A_\infty\) structures and Massey products
- A topological measurement of protein compressibility
- Computing fundamental groups from point clouds
- \(A_\infty\)-persistence
- The theory of the interleaving distance on multidimensional persistence modules
- Optimising the topological information of the \(A_\infty \)-persistence groups
- Coverage in sensor networks via persistent homology
- Finding the homology of submanifolds with high confidence from random samples
- The Structure and Stability of Persistence Modules
- Cell AT-Models for Digital Volumes
- ON THE HOMOLOGY THEORY OF FIBRE SPACES
- HIGHER ORDER LINKING NUMBERS
- Theory of interleavings on categories with a flow
- Decomposition of pointwise finite-dimensional persistence modules
- Geometry Helps to Compare Persistence Diagrams
- Provable surface reconstruction from noisy samples
- Weak feature size and persistent homology
- Proximity of persistence modules and their diagrams
- On the imbedding of systems of compacta in simplicial complexes
- Algebraic Operads
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