Turnpike properties in optimal control: An overview of discrete-time and continuous-time results
The turnpike property refers to the phenomenon that in many optimal control problems, the
solutions for different initial conditions and varying horizons approach a neighborhood of a …
solutions for different initial conditions and varying horizons approach a neighborhood of a …
Neural ODE control for classification, approximation, and transport
We analyze neural ordinary differential equations (NODEs) from a control theoretical
perspective to address some of the main properties and paradigms of deep learning (DL), in …
perspective to address some of the main properties and paradigms of deep learning (DL), in …
Turnpike in optimal control of PDEs, ResNets, and beyond
B Geshkovski, E Zuazua - Acta Numerica, 2022 - cambridge.org
The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …
seeks to move an economy from one level of capital to another, then the most efficient path …
Turnpike properties in optimal control: An overview of discrete-time and continuous-time results
T Faulwasser, L Grüne - ar**s with a view to the deep learning
Deep learning of the artificial neural networks (ANN) can be treated as a particular class of
interpolation problems. The goal is to find a neural network whose input-output map …
interpolation problems. The goal is to find a neural network whose input-output map …
Interpolation and approximation via momentum resnets and neural odes
In this article, we explore the effects of memory terms in continuous-layer Deep Residual
Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one …
Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one …