Publications related to Avoidance of Convex and Concave Obstacles with Convergence ensured through Contraction

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Part I of this work developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of combination policies than ea ...

2017

Two subtle convex nonlocal approximations of the BV-norm

Hoài-Minh Nguyên

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergen ...

Elsevier2016

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Dominique Bonvin, Timm Faulwasser

We discuss the design of sampled-data economic nonlinear model predictive control schemes for continuous-time systems based on turnpike properties. In a recent paper we have shown that an exact turnpike property allows establishing finite-time convergence ...

2015

Sensitivity of stochastic perturbations in a noise amplifier flow

François Gallaire, Edouard Boujo

It is a well-known fact that small-amplitude perturbations can be amplified in globally stable flows due to non-normal mechanisms. This leads in the time domain to the transient growth of some initial disturbances, and in the frequency domain to the amplif ...

2014

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Colin Neil Jones, Melanie Nicole Zeilinger

Soft constrained model predictive control (MPC) is frequently applied in practice in order to ensure feasibility of the optimization during online operation. Standard techniques offer global feasibility by relaxing state or output constraints, but cannot e ...

Institute of Electrical and Electronics Engineers2014

Stable blow up dynamics for energy supercritical wave equations

Roland Donninger

We study the semilinear wave equation

\displaystyle \partial _t^2 \psi -\Delta \psi =\vert\psi \vert^{p-1}\psi

for

p > 3

with radial data in three spatial dimensions. There exists an explicit solution which blows up at

t=T>0

given by $\displaystyl ...

American Mathematical Society2014

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Ali H. Sayed, Jie Chen

There are many important applications that are multitask-oriented in the sense that there are multiple optimum parameter vectors to be inferred simultaneously by networked agents. In this paper, we formulate an online multitask learning problem where node ...

IEEE2014

Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor

Jiri Vanicek, Miroslav Sulc, David Eduardo Zambrano Ramirez

Time-resolved electronic spectra can be obtained as the Fourier transform of a special type of time correlation function known as fidelity amplitude, which, in turn, can be evaluated approximately and efficiently with the dephasing representation. Here we ...

American Institute of Physics2013

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Jiri Vanicek, Alberto Hernando de Castro

An imaginary-time nonuniform mesh method for diagonalizing multidimensional quantum Hamiltonians is proposed and used to find the first 50 eigenstates and energies of up to D=5 strongly interacting spinless quantum Lennard-Jones particles trapped in a one- ...

2013

Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra

Jiri Vanicek, Miroslav Sulc

We recently showed that the dephasing representation (DR) provides an efficient tool for computing ultrafast electronic spectra and that further acceleration is possible with cellularization [M. Šulc and J. Vaníček, Mol. Phys. 110, 945 (2012)]. Here, we fo ...

American Institute of Physics2013

Avoidance of Convex and Concave Obstacles with Convergence ensured through Contraction

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Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Two subtle convex nonlocal approximations of the BV-norm

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Sensitivity of stochastic perturbations in a noise amplifier flow

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Stable blow up dynamics for energy supercritical wave equations

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Sensitivity of stochastic perturbations in a noise amplifier flow

Two subtle convex nonlocal approximations of the BV-norm

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Stable blow up dynamics for energy supercritical wave equations

Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor