Reversible architectures for arbitrarily deep residual neural networks
Recently, deep residual networks have been successfully applied in many computer vision
and natural language processing tasks, pushing the state-of-the-art performance with …
and natural language processing tasks, pushing the state-of-the-art performance with …
Control of the continuity equation with a non local flow
RM Colombo, M Herty, M Mercier - ESAIM: Control, Optimisation and …, 2011 - cambridge.org
This paper focuses on the analytical properties of the solutions to the continuity equation
with non local flow. Our driving examples are a supply chain model and an equation for the …
with non local flow. Our driving examples are a supply chain model and an equation for the …
Optimal control for traffic flow networks
We consider traffic flow models for road networks where the flow is controlled at the nodes of
the network. For the analytical and numerical optimization of the control, the knowledge of …
the network. For the analytical and numerical optimization of the control, the knowledge of …
Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: From modeling to industrial applications
We consider optimal control problems for the flow of gas or fresh water in pipe networks as
well as drainage or sewer systems in open canals. The equations of motion are taken to be …
well as drainage or sewer systems in open canals. The equations of motion are taken to be …
Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security
This article presents a study on freeway networks instrumented with coordinated ramp
metering and the ability of such control systems to produce arbitrarily complex congestion …
metering and the ability of such control systems to produce arbitrarily complex congestion …
Adjoint and defect error bounding and correction for functional estimates
We present two error estimation approaches for bounding or correcting the error in
functional estimates such as lift or drag. Adjoint methods quantify the error in a particular …
functional estimates such as lift or drag. Adjoint methods quantify the error in a particular …
Adjoint-based derivative computations for the optimal control of discontinuous solutions of hyperbolic conservation laws
S Ulbrich - Systems & control letters, 2003 - Elsevier
We propose a rigorous procedure to obtain the adjoint-based gradient representation of cost
functionals for the optimal control of discontinuous solutions of conservation laws. Hereby, it …
functionals for the optimal control of discontinuous solutions of conservation laws. Hereby, it …
Control of continuum models of production systems
M La Marca, D Armbruster, M Herty… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
A production system which produces a large number of items in many steps can be
modelled as a continuous flow problem. The resulting hyperbolic partial differential equation …
modelled as a continuous flow problem. The resulting hyperbolic partial differential equation …
Adjoint complement to the volume-of-fluid method for immiscible flows
The paper is concerned with an adjoint complement to the Volume-of-Fluid (VoF) method for
immiscible two-phase flows, eg air and water, which is widely used in marine engineering …
immiscible two-phase flows, eg air and water, which is widely used in marine engineering …
On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support
We prove the convergence of solutions of nonlocal conservation laws to their local entropic
counterpart for a fundamentally extended class of nonlocal kernels when these kernels …
counterpart for a fundamentally extended class of nonlocal kernels when these kernels …