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Sampling and homology via bottlenecks
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-319-96418-8_54openalex-snapshot
HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia
inferredcites →https://doi.org/10.1007/s00454-008-9053-2openalex-snapshot
Finding the Homology of Submanifolds with High Confidence from Random Samples
inferredcites →https://doi.org/10.1007/s00454-009-9144-8openalex-snapshot
A Sampling Theory for Compact Sets in Euclidean Space
inferredcites →https://doi.org/10.1007/s10208-017-9358-8openalex-snapshot
Computing the Homology of Real Projective Sets
inferredcites →https://doi.org/10.1007/s10208-019-09418-yopenalex-snapshot
Computing the Homology of Semialgebraic Sets. I: Lax Formulas
inferredcites →https://doi.org/10.1007/s10208-020-09483-8openalex-snapshot
Computing the Homology of Semialgebraic Sets. II: General Formulas
inferredcites →https://doi.org/10.1007/s10208-021-09534-8openalex-snapshot
Euclidean Distance Degree and Mixed Volume
inferredcites →https://doi.org/10.1007/s10440-012-9782-3openalex-snapshot
Numerically Computing Real Points on Algebraic Sets
inferredcites →https://doi.org/10.1016/j.aam.2022.102416openalex-snapshot
The numerical algebraic geometry of bottlenecks
inferredcites →https://doi.org/10.1016/j.amc.2009.12.014openalex-snapshot
Algebraic -actions and the inverse kinematics of a general 6R manipulator
inferredcites →https://doi.org/10.1016/j.cagd.2019.101767openalex-snapshot
Offset hypersurfaces and persistent homology of algebraic varieties
inferredcites →https://doi.org/10.1063/1.3445267openalex-snapshot
Topology of cyclo-octane energy landscape
inferredcites →https://doi.org/10.1109/icmla.2019.00253openalex-snapshot
Sampling Real Algebraic Varieties for Topological Data Analysis
inferredcites →https://doi.org/10.1109/mcse.2007.55openalex-snapshot
Matplotlib: A 2D Graphics Environment
inferredcites →https://doi.org/10.1137/0733008openalex-snapshot
Complexity of Bezout’s Theorem IV: Probability of Success; Extensions
inferredcites →https://doi.org/10.1137/1.9781611972702openalex-snapshot
Numerically Solving Polynomial Systems with Bertini
inferredcites →https://doi.org/10.1137/19m1265776openalex-snapshot
The Bottleneck Degree of Algebraic Varieties
inferredcites →https://doi.org/10.1137/19m1271178openalex-snapshot
Random Points on an Algebraic Manifold
inferredcites →https://doi.org/10.1142/5763openalex-snapshot
The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
inferredcites →https://doi.org/10.1142/9789812567727openalex-snapshot
The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
inferredcites →https://doi.org/10.1145/1064092.1064132openalex-snapshot
Weak feature size and persistent homology
inferredcites →https://doi.org/10.1145/3275242openalex-snapshot
Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time
inferredcites →https://doi.org/10.1145/37401.37422openalex-snapshot
Marching cubes: A high resolution 3D surface construction algorithm
inferredcites →https://doi.org/10.1214/19-ejs1551openalex-snapshot
Estimating the reach of a manifold
inferredcites →https://doi.org/10.2307/1969640openalex-snapshot
A New Decision Method for Elementary Algebra
inferredcites →https://doi.org/10.4230/lipics.stacs.2009.1817openalex-snapshot
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4374571openalex-extracted
The Critical Curvature Degree of an Algebraic Variety
inferred← citeshttps://doi.org/10.1007/s10208-025-09735-5openalex-snapshot
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications
inferred← citeshttps://doi.org/10.1016/j.jsc.2023.102259openalex-snapshot
The critical curvature degree of an algebraic variety
inferred← citeshttps://doi.org/10.1090/mcom/3947openalex-snapshot
Effective homology and periods of complex projective hypersurfaces
inferred← citeshttps://doi.org/10.1109/icra48891.2023.10160891openalex-snapshot
Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner
inferred← citeshttps://doi.org/10.1115/1.4065071openalex-snapshot
Optimized Ray-Based Method for Workspace Determination of Kinematic Redundant Manipulators
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