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Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) - MaRDI portal

Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) (Q2693004)

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English	Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting)	scientific article

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scholarly article

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Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) (English)

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Oberwolfach Reports

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publication date

17 March 2023

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Summary: This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and machine-learning approaches to optimal feedback control. The analysis concerned all aspects of such approaches, ranging from approximation theory particularly for high-dimensional problems via complexity analysis of algorithms to robustness issues.

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4171/owr/2021/23

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A note on persistency of excitation

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Data-driven simulation and control

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Approximation by superpositions of a sigmoidal function

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On a small gain theorem for ISS networks in dissipative Lyapunov form

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Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions

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Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures

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Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

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Computing Lyapunov functions using deep neural networks

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DGM: a deep learning algorithm for solving partial differential equations

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Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification

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Perturbed Optimization in Banach Spaces II: A Theory Based on a Strong Directional Constraint Qualification

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Optimal Control of a Parabolic Equation with Time-Dependent State Constraints

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Regularity properties of solutions to Hamilton-Jacobi equations in infinite dimensions and nonlinear optimal control

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Value function and optimality condition for semilinear control problems. II: Parabolic case

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Value function and optimality conditions for semilinear control problems

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Second-Order Sensitivity Relations and Regularity of the Value Function for Mayer's Problem in Optimal Control

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Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations

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Sensitivity analysis for nonlinear programming using penalty methods

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Augmented Lagrangian–SQP Methods for Nonlinear Optimal Control Problems of Tracking Type

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Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs

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Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations

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Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions

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Stability Analysis for Nonlinear Optimal Control Problems Subject to State Constraints

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Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints

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Lipschitz stability of solutions to parametric optimal control problems for parabolic equations

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Solution Differentiability for Nonlinear Parametric Control Problems

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Long Time versus Steady State Optimal Control

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Remarks on Long Time Versus Steady State Optimal Control

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Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations

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Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems

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Recurrent neural networks for stochastic control problems with delay

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Solving high-dimensional partial differential equations using deep learning

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The Pontryagin Maximum Principle From Dynamic Programming and Viscosity Solutions to First-Order Partial Differential Equations

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Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach

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Universal approximation bounds for superpositions of a sigmoidal function

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Deep vs. shallow networks: An approximation theory perspective

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Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations

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Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets

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Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics

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Dynamic isoperimetry and the geometry of Lagrangian coherent structures

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Estimating long-term behavior of periodically driven flows without trajectory integration

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Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration

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Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics

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Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh–Bénard convection

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Discovering governing equations from data by sparse identification of nonlinear dynamical systems

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Data-driven discovery of coordinates and governing equations

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Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model

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Nonlinear model predictive control. Theory and algorithms

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Data-driven approximation of the Koopman generator: model reduction, system identification, and control

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Spectral analysis of nonlinear flows

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The integer approximation error in mixed-integer optimal control

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Dynamic mode decomposition of numerical and experimental data

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Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints

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A proposal on machine learning via dynamical systems

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Identifiers

zbMATH Open document ID

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10.4171/OWR/2021/23

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2693004

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