Homotopy continuation for the spectra of persistent Laplacians
From MaRDI portal
Publication:2072664
DOI10.3934/fods.2021017zbMath1494.55011OpenAlexW3185736110MaRDI QIDQ2072664
Publication date: 26 January 2022
Published in: Foundations of Data Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/fods.2021017
homotopy continuationalgebraic topologynumerical algebraic geometrypersistent homologycombinatorial graphpersistent Laplacian
Persistent homology and applications, topological data analysis (55N31) Simplicial sets and complexes in algebraic topology (55U10) Numerical algebraic geometry (65H14)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A topological approach for protein classification
- Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning
- Solution of polynomial systems derived from differential equations
- HERMES
- Computing Betti numbers via combinatorial Laplacians
- HomotopyContinuation.jl: a package for homotopy continuation in Julia
- Decoupled molecules with binding polynomials of bidegree \((n,2)\)
- HERMES: persistent spectral graph software
- A topological measurement of protein compressibility
- Maximum Likelihood for Matrices with Rank Constraints
- Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods
- Galois groups of Schubert problems via homotopy computation
- Numerical algebraic geometry and algebraic kinematics
- Topology and data
- Algorithm 795
- Computing Spectra without Solving Eigenvalue Problems
- A Bayesian Topological Framework for the Identification and Reconstruction of Subcellular Motion
- Hodge Laplacians on Graphs
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
This page was built for publication: Homotopy continuation for the spectra of persistent Laplacians