Determining Key Parameters in Riots Using Lexicographic Directional Differentiation

DOI10.1137/20M131583XzbMath1472.34082OpenAlexW3173414980MaRDI QIDQ5002505

Matthew Ackley, Peter G. Stechlinski

Publication date: 27 July 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m131583x

zbMATH Keywords

sensitivity analysisgeneralized derivativesnonsmooth dynamical systemslexicographic derivativessocial contagionsriot behavior

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) System identification (93B30) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Spatial models in sociology (91D25)

Uses Software

• Matlab
• PNEW
• OpenStreetMap
• QGIS
• Mapping Toolbox

Cites Work

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• An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
• Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides
• A generalized model of social and biological contagion
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• A bundle-Newton method for nonsmooth unconstrained minimization
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A numerical perspective on traveling wave solutions in a system for rioting activity
• A nonsmooth version of Newton's method
• Derivative based global sensitivity measures and their link with global sensitivity indices
• Periodic cycles of social outbursts of activity
• The Arab Spring: a simple compartmental model for the dynamics of a revolution
• Lexicographic differentiation of nonsmooth functions
• Introduction to Piecewise Differentiable Equations
• A vector forward mode of automatic differentiation for generalized derivative evaluation
• Analysis of a heterogeneous model for riot dynamics: the effect of censorship of information
• Computationally relevant generalized derivatives: theory, evaluation and applications
• Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation
• Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions
• Finite-Dimensional Variational Inequalities and Complementarity Problems

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