Ranking with Hamiltonian dynamics

DOI10.1016/j.physd.2020.132676OpenAlexW3048669753MaRDI QIDQ2077638

W. Garrett Mitchener

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132676

zbMATH Keywords

rankingHamiltonian dynamicslinear ordering

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Computational aspects of data analysis and big data (68T09)

Uses Software

• Optim
• RANKBOOST+

Cites Work

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• A minimum violations ranking method
• A benchmark library and a comparison of heuristic methods for the linear ordering problem
• The solution to a generalized Toda lattice and representation theory
• \textsc{Rankboost} \(+\): an improvement to \textsc{Rankboost}
• The geometric foundations of Hamiltonian Monte Carlo
• On the evolution of scattering data under perturbations of the Toda lattice
• Matrix factorizations and integrable systems
• Ordinary Differential Equations and the Symmetric Eigenvalue Problem
• The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• 10.1162/1532443041827916
• The Rankability of Data
• Learning Theory
• Almost everything you always wanted to know about the Toda equation.

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