Publications related to Partition of sums of squares

Augmenting locomotor perception by remapping tactile foot sensation to the back

Olaf Blanke, Mohamed Bouri, Oliver Alan Kannape, Atena Fadaeijouybari, Selim Jean Habiby Alaoui

Background :Sensory reafferents are crucial to correct our posture and movements, both reflexively and in a cognitively driven manner. They are also integral to developing and maintaining a sense of agency for our actions. In cases of compromised reafferen ...

2024

Simulating supercontinua from mixed and cascaded nonlinearities

Luis Guillermo Villanueva Torrijo, Victor Brasch, Furkan Ayhan, Tobias Herr, Thibault Voumard

Nonlinear optical frequency conversion is of fundamental importance in photonics and underpins countless of its applications: Sum- and difference-frequency generation in media with quadratic nonlinearity permits reaching otherwise inaccessible wavelength r ...

AIP Publishing2023

Novel spatiotemporal processing tools for body-surface potential map signals for the prediction of catheter ablation outcome in persistent atrial fibrillation

Jean-Marc Vesin, Adrian Luca, Etienne Pruvot

Background: Signal processing tools are required to efficiently analyze data collected in body-surface-potential map (BSPM) recordings. A limited number of such tools exist for studying persistent atrial fibrillation (persAF). We propose two novel, spatiot ...

FRONTIERS MEDIA SA2022

Linear regression analysis of regional mean speed of Athens city network using drone data: A multi-modal approach

Nikolaos Geroliminis, Emmanouil Barmpounakis

The work proposes a multi-modal regional mean speed regression analysis for the city network of Athens, Greece. The dataset from pNUEMA experiment is used in the present context. Accumulations and mean speeds of different modes are estimated and compared t ...

2021

One-step solution to local tie vector determination at co-located GNSS/VLBI sites

Jean-Philippe Lucien Montillet

The local tie vector, which connects the different space geodetic techniques at a co-located site, plays an important role in the realization of the International Terrestrial Reference Frame (ITRF). This paper presents a new method to determine the tie vec ...

SPRINGER2018

Y Stability and performance verification of optimization-based controllers

Colin Neil Jones, Milan Korda

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed technique include g ...

Pergamon-Elsevier Science Ltd2017

Technical Report: Control of Nonlinear Systems with Explicit-MPC-like Controllers

Colin Neil Jones, Milan Korda, Ivan Pejcic

This paper describes synthesis of controllers involving Quadratic Programming (QP) optimization problems for control of nonlinear systems. The QP structure allows an implementation of the controller as a piecewise affine function, pre-computed offline, whi ...

2017

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Van Thang Pham

We prove a Szemeredi-Trotter type theorem and a sum product estimate in the setting of finite quasifields. These estimates generalize results of the fourth author, of Garaev, and of Vu. We generalize results of Gyarmati and Sarkozy on the solvability of th ...

Academic Press Inc Elsevier Science2017

Controller design and value function approximation for nonlinear dynamical systems

Colin Neil Jones, Milan Korda

This work considers the infinite-time discounted optimal control problem for continuous time input-affine polynomial dynamical systems subject to polynomial state and box input constraints. We propose a sequence of sum-of-squares (SOS) approximations of th ...

Pergamon-Elsevier Science Ltd2016

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Partition of sums of squares

Augmenting locomotor perception by remapping tactile foot sensation to the back

Simulating supercontinua from mixed and cascaded nonlinearities

Novel spatiotemporal processing tools for body-surface potential map signals for the prediction of catheter ablation outcome in persistent atrial fibrillation

Linear regression analysis of regional mean speed of Athens city network using drone data: A multi-modal approach

One-step solution to local tie vector determination at co-located GNSS/VLBI sites

Y Stability and performance verification of optimization-based controllers

Technical Report: Control of Nonlinear Systems with Explicit-MPC-like Controllers

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Moral Matrices

Controller design and value function approximation for nonlinear dynamical systems

Graph Chatbot

Chat with Graph Search

One-step solution to local tie vector determination at co-located GNSS/VLBI sites

Linear regression analysis of regional mean speed of Athens city network using drone data: A multi-modal approach

Augmenting locomotor perception by remapping tactile foot sensation to the back

Simulating supercontinua from mixed and cascaded nonlinearities

Novel spatiotemporal processing tools for body-surface potential map signals for the prediction of catheter ablation outcome in persistent atrial fibrillation

Y Stability and performance verification of optimization-based controllers

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Technical Report: Control of Nonlinear Systems with Explicit-MPC-like Controllers

Moral Matrices

Controller design and value function approximation for nonlinear dynamical systems