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Radial duality. I: Foundations

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Publication:6126644
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DOI10.1007/s10107-023-02006-7arXiv2104.11179OpenAlexW3153330230MaRDI QIDQ6126644

Benjamin Grimmer

Publication date: 9 April 2024

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11179


zbMATH Keywords

optimizationprojective transformationsnonsmoothfirst-order methodsprojection-free methods


Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10)




Cites Work

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  • Bernstein theorem and regularity for a class of Monge-Ampère equations
  • Hidden structures in the class of convex functions and a new duality transform
  • Accelerated first-order methods for hyperbolic programming
  • Synthetic projective geometry and Poincaré's theorem on automorphisms of the ball
  • Differential analysis of polarity: polar Hamilton-Jacobi, conservation laws, and Monge Ampère equations
  • Dual gauge programs, with applications to quadratic programming and the minimum-norm problem
  • Radial Subgradient Method
  • Order Isomorphisms on Convex Functions in Windows
  • Foundations of Gauge and Perspective Duality
  • ``Efficient” Subgradient Methods for General Convex Optimization


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