Support vector machines and Radon's theorem

DOI10.3934/fods.2022017arXiv2011.00617OpenAlexW3096109958MaRDI QIDQ6154223

Brittany Story, Elin Farnell, Henry Adams

Publication date: 14 February 2024

Published in: Foundations of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00617

zbMATH Keywords

support vector machinesRadon's theoremconvex geometrylinear classification

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Topological data analysis (62R40)

Cites Work

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• Kernel methods in machine learning
• VC-based confidence and credibility for support vector machines
• Support vector machines: theory and applications.
• Stochastic and Integral Geometry
• On a common generalization of Borsuk's and Radon's theorem
• Kinematic measures for sets of support figures
• A dice probability problem
• Tverberg’s theorem is 50 years old: A survey
• Stochastic Tverberg Theorems With Applications in Multiclass Logistic Regression, Separability, and Centerpoints of Data
• A Generalization of Radon's Theorem
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
• An integral‐geometric meaning for lower order area functions of convex bodies
• The Geometry of Radon's Theorem
• APPROXIMATING CENTER POINTS WITH ITERATIVE RADON POINTS