Homotopy continuation for the spectra of persistent Laplacians
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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)
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- 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
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