Optimal control by deep learning techniques and its applications on epidemic models

DOI10.1007/s00285-023-01873-0OpenAlexW4317936738MaRDI QIDQ2684035

Yanyan Li

Publication date: 15 February 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-023-01873-0

zbMATH Keywords

optimal controlepidemic modelsdeep learningadjoint sensitivity analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Artificial neural networks and deep learning (68T07) Dynamic programming in optimal control and differential games (49L20) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Uses Software

• KNITRO
• SNOPT
• Ipopt
• CasADi
• SOCS
• FATODE
• Julia
• DiffSharp
• PSOPT
• Adam
• DifferentialEquations.jl
• BERT
• NeuralPDE.jl
• GRU-ODE-Bayes
• ALTRO
• DeepONet

Cites Work

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• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs
• Julia: A Fresh Approach to Numerical Computing
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• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• Neural‐network‐based approximations for solving partial differential equations
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• Penalty and Barrier Methods: A Unified Framework
• Solving high-dimensional partial differential equations using deep learning
• Advancing mathematics by guiding human intuition with AI
• The unreasonable effectiveness of deep learning in artificial intelligence
• Relaxed Logarithmic Barrier Function Based Model Predictive Control of Linear Systems
• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

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