Publications related to Projectively extended real line

A parametric augmented Lagrangian algorithm for real-time economic NMPC

Colin Neil Jones, Jean-Hubert Hours, Harsh Ambarishkumar Shukla

In this paper, a novel optimality-tracking algorithm for solving Economic Nonlinear Model Predictive Control (ENMPC) problems in real-time is presented. Developing online schemes for ENMPC is challenging, since it is unclear how convexity of the Quadratic ...

IEEE2016

Equivariant measurable liftings

Nicolas Monod

We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Mobius group of the projective line. Since the general proof is very simple but not explicit, we also provi ...

Polish Acad Sciences Inst Mathematics-Impan2015

Obstacles For Splitting Multidimensional Necklaces

Michal Lason

The well-known "necklace splitting theorem" of Alon (1987) asserts that every k-colored necklace can be fairly split into q parts using at most t cuts, provided k(q - 1)

Amer Mathematical Soc2015

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Pierre Vandergheynst, Benjamin Ricaud, David Shuman

A number of new localized, multiscale transforms have recently been introduced to analyze data residing on weighted graphs. In signal processing tasks such as regularization and compression, much of the power of classical wavelets on the real line is deriv ...

Spie-Int Soc Optical Engineering2013

One-Bit Measurements With Adaptive Thresholds

Michaël Unser, Arash Amini, Ulugbek Kamilov, Aurélien Bourquard

We introduce a new method for adaptive one-bit quantization of linearmeasurements and propose an algorithm for the recovery of signals based on generalized approximate message passing (GAMP). Our method exploits the prior statistical information on the sig ...

Ieee-Inst Electrical Electronics Engineers Inc2012

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

LDAHash: Improved Matching with Smaller Descriptors

Pascal Fua, Christoph Strecha

SIFT-like local feature descriptors are ubiquitously employed in computer vision applications such as content-based retrieval, video analysis, copy detection, object recognition, photo tourism, and 3D reconstruction. Feature descriptors can be designed to ...

Institute of Electrical and Electronics Engineers2012

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Philippe Müllhaupt, Basile Graf

A modeling framework is proposed for the control of rigid and flexible cable-like systems such as cranes, together with a systematic algorithm for computing flat outputs of mechanical systems for which the flat output is a linear combi- nation of free coor ...

IEEE2010

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Roland Donninger

We study the wave equation on the real line with a potential that falls off like vertical bar x vertical bar(-alpha) for vertical bar x vertical bar -> infinity where 2 < alpha infini ...

Oxford University Press2010

Projectively extended real line

Graph Chatbot

Chat with Graph Search

A parametric augmented Lagrangian algorithm for real-time economic NMPC

Equivariant measurable liftings

Obstacles For Splitting Multidimensional Necklaces

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

On the Sparsity of Wavelet Coefficients for Signals on Graphs

One-Bit Measurements With Adaptive Thresholds

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

LDAHash: Improved Matching with Smaller Descriptors

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

Obstacles For Splitting Multidimensional Necklaces

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

A parametric augmented Lagrangian algorithm for real-time economic NMPC

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

One-Bit Measurements With Adaptive Thresholds

Equivariant measurable liftings

LDAHash: Improved Matching with Smaller Descriptors