Rates of Convergence for the Continuum Limit of Nondominated Sorting

DOI10.1137/20M1344901zbMath1484.35152arXiv2006.05953OpenAlexW3035426369MaRDI QIDQ5030382

Jeff Calder, Brendan Cook

Publication date: 17 February 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05953

zbMATH Keywords

applied probabilitynondominated sortingsemiconvexityquantitative error estimates

Mathematics Subject Classification ID

Strong limit theorems (60F15) Maximum principles in context of PDEs (35B50) Combinatorial probability (60C05) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (3)

Tukey Depths and Hamilton--Jacobi Differential Equations ⋮ A PDE-Based Method for Shape Registration ⋮ Hamilton-Jacobi scaling limits of Pareto peeling in 2D

Uses Software

• MOCK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A direct verification argument for the Hamilton-Jacobi equation continuum limit of nondominated sorting
• The height of a random partial order: Concentration of measure
• A variational problem for random Young tableaux
• Numerical schemes and rates of convergence for the Hamilton-Jacobi equation continuum limit of nondominated sorting
• Limiting curves for i.i.d. records
• The limit shape of convex hull peeling
• Directed last passage percolation with discontinuous weights
• An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
• A PDE-based Approach to Nondominated Sorting
• An Efficient Method for Multiobjective Optimal Control and Optimal Control Subject to Integral Constraints
• Optimal approximations by piecewise smooth functions and associated variational problems
• The Longest Chain Among Random Points in Euclidean Space
• User’s guide to viscosity solutions of second order partial differential equations
• Active contours without edges
• Anomaly Detection and Classification for Streaming Data using PDEs
• Pareto-Depth for Multiple-Query Image Retrieval
• Multicriteria Optimization
• Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations
• A Hamilton--Jacobi Equation for the Continuum Limit of Nondominated Sorting
• Evolutionary Multi-Criterion Optimization
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: Rates of Convergence for the Continuum Limit of Nondominated Sorting