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Everything about Piecewise linear continuation
Simplicial continuation, or piecewise linear continuation, is a one-parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to compute higher-dimensional manifolds by and. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Piecewise linear continuationA 5-minute orientation
- Skim a recent paper: Efficient continuous piecewise linear regression for linearising univariate non-linear functionsInfluential work since 2022
- Pick up a classic book: On general Franklin systemsThe most-reprinted book on the subject
- Read the landmark paper: Singular Continuation: Generating Piecewise Linear Approximations to Pareto Sets via Global AnalysisCited 73 times
- Go sideways: Barycentric coordinate systemA closely related topic
- Go sideways: Simplicial mapA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Singular Continuation: Generating Piecewise Linear Approximations to Pareto Sets via Global Analysis
Dynamics of a piecewise non-linear system subject to dual harmonic excitation using parametric continuation
Continuation Power Flow With Nonlinear Power Injection Variations: A Piecewise Linear Approximation
Discontinuous piecewise linear optimization
Analysis of piecewise linear aeroelastic systems using numerical continuation
CONTINUOUS PIECEWISE LINEAR FUNCTIONS
Conditional selective inference for robust regression and outlier detection using piecewise-linear homotopy continuation
🆕 Influential since 2022
Efficient continuous piecewise linear regression for linearising univariate non-linear functions
Stable parameterization of continuous and piecewise-linear functions
On rigorous integration of continuous piecewise linear systems
Nested piecewise linear regression models with continuous components
Piecewise linear survival function: a continuous context study
📚 Books worth reading
- 📕On general Franklin systemsGegham Gevorkyan · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Simplicial map A simplicial map (also called simplicial mapping) is a function between two simplicial complexes, with the property that the images of the vertices of…
- Numerical continuation Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations, F(𝐮,λ)=0. The parameter λ is usually…
- Monotone cubic interpolation In the mathematical field of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data…
- Barycentric subdivision In mathematics, the barycentric subdivision is a standard way to subdivide a given simplex into smaller ones. Its extension to simplicial complexes is…
- Simplex In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex…
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- Triangulation (topology) In mathematics, triangulation describes the replacement of topological spaces with simplicial complexes by the choice of an appropriate homeomorphism.…