Publications associées à Regularized economic model predictive control with barrier functions

Publications associées (20)

Phase Diagram of Compressed Sensing with l0-norm Regularization

Lenka Zdeborová, Florent Gérard Krzakala, Damien Yves Valery Barbier

Noiseless compressive sensing is a two-step setting that allows for undersampling a sparse signal and then reconstructing it without loss of information. The LASSO algorithm, based on l(1) regularization, provides an efficient and robust way to address thi ...

IOP Publishing Ltd2025

Theory and applications of the sum-of-squares technique

Luca Pesce, Giovanni Piccioli, Elisabetta Cornacchia

The sum-of-squares (SOS) approximation method is a technique used in optimization problems to derive lower bounds on the optimal value of an objective function. By representing the objective function as a sum of squares in a feature space, the SOS method t ...

2024

On Finding the Leader's Strategy in Quadratic Aggregative Stackelberg Pricing Games

Nikolaos Geroliminis, Nils Gustav Nilsson, Marko Maljkovic

This paper analyzes a class of Stackelberg games where different actors compete for shared resources and a central authority tries to balance the demand through a pricing mechanism. Situations like this can for instance occur when fleet owners of electric ...

IEEE2023

Low-Rank Tensor Methods for High-Dimensional Problems

Christoph Max Strössner

In this thesis, we propose and analyze novel numerical algorithms for solving three different high-dimensional problems involving tensors. The commonality of these problems is that the tensors can potentially be well approximated in low-rank formats. Ident ...

EPFL2023

An Adaptive Least-squares Algorithm for the Elliptic Monge-ampere Equation

Dimitrios Gourzoulidis

We address the numerical solution of the Dirichlet problem for the two-dimensional elliptic Monge-Ampere equation using a least-squares/relaxation approach. The relaxation algorithm allows the decoupling of the differential operators from the nonlinearitie ...

ACAD SCIENCES2023

The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques

Guillaume Anciaux, Simone Deparis, Yannis Dirk Voet

The mortar finite element method is a well-established method for the numerical solution of partial differential equations on domains displaying non-conforming interfaces. The method is known for its application in computational contact mechanics. However, ...

PERGAMON-ELSEVIER SCIENCE LTD2022

Level-set-based Shape Optimization on Soft Magnetic Composites with Isotropy Constraint

Yves Perriard, Adrien Jean-Michel Thabuis, Xiaotao Ren

Soft Magnetic Composites (SMCs) demonstrate excellent potentials for electromagnetic applications. The isotropy is one critical feature in designing the composite. This work presents a shape optimization algorithm for SMCs subject to isotropy and volume co ...

Institute of Electrical and Electronics Engineers2022

Mathematical and numerical models for the cardiac electromechanical function

Alfio Quarteroni, Francesco Regazzoni

This paper deals with the mathematical model that describes the function of the human heart. More specifically, it addresses the equations that express the electromechanical process, that is the mechanical deformation (contraction and relaxation) of the he ...

EUROPEAN MATHEMATICAL SOC-EMS2021

Probabilistic Iterative LQR for Short Time Horizon MPC

Sylvain Calinon, Teguh Santoso Lembono

Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically tracked by another ...

IEEE2021

Learning Non-Parametric Models with Guarantees: A Smooth Lipschitz Regression Approach

Colin Neil Jones, Emilio Maddalena

We propose a non-parametric regression methodology that enforces the regressor to be fully consistent with the sample set and the ground-truth regularity assumptions. As opposed to the Nonlinear Set Membership technique, this constraint guarantees the atta ...

ELSEVIER2020

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

Friedrich Eisenbrand

We consider integer programming problems in standard form max{c(T)x : Ax = b, x >= 0, x is an element of Z(n)} where A is an element of Z(mxn), b is an element of Z(m), and c is an element of Z(n). We show that such an integer program can be solved in time ...

ASSOC COMPUTING MACHINERY2020

Generalized maximum entropy estimation

John Lygeros, Peyman Mohajerin Esfahani, Tobias Sutter

We consider the problem of estimating a probability distribution that maximizes the entropy while satisfying a finite number of moment constraints, possibly corrupted by noise. Based on duality of convex programming, we present a novel approximation scheme ...

2019

Exploration and Inference in Spatial Extremes Using Empirical Basis Functions

Emeric Rolland Georges Thibaud

Statistical methods for inference on spatial extremes of large datasets are yet to be developed. Motivated by standard dimension reduction techniques used in spatial statistics, we propose an approach based on empirical basis functions to explore and model ...

SPRINGER2019

The asymmetric multitype contact process

Thomas Mountford, Daniel Rodrigues Valesin

We study the multitype contact process on Z(d) under the assumption that one of the types has a birth rate that is larger than that of the other type, and larger than the critical value of the standard contact process. We prove that, if initially present, ...

ELSEVIER SCIENCE BV2019

Contact process under renewals I

Thomas Mountford

We investigate a non-Markovian analogue of the Harris contact process in Z(d): an individual is attached to each site x is an element of Z(d), and it can be infected or healthy; the infection propagates to healthy neighbours just as in the usual contact pr ...

ELSEVIER SCIENCE BV2019

The Deformation Capacity of Lap Splices in RC Walls: From Experimental Testing to Numerical Modelling

Danilo Tarquini

Field observations as well as experimental tests have shown that both the strength and displacement capacity of reinforced concrete (RC) members might be significantly reduced by the presence of lap splices. This degradation applies in particular if the lo ...

EPFL2019

Relative Homological Algebra Via Truncations

Jérôme Scherer

To do homological algebra with unbounded chain complexes one needs to first find a way of constructing resolutions. Spal-tenstein solved this problem for chain complexes of R-modules by truncating further and further to the left, resolving the pieces, and ...

FIZ KARLSRUHE-LEIBNIZ-INST INFORMATIONSINFRASTRUKTUR2018

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Lorenzo Vitale

This thesis explores two aspects of the renormalization group (RG) in quantum field theory (QFT). In the first part we study the structure of RG flows in general Poincaré-invariant, unitary QFTs, and in particular the irreversibility properties and the rel ...

EPFL2016

Improving the quality of filament-impaired images in Kerr media by statistical averaging

Demetri Psaltis, Alexandre Goy

In focusing Kerr media, small- scale filamentation is the major obstacle to imaging at high light intensities. In this article, we experimentally and numerically demonstrate a method based on statistical averaging to reduce the detrimental effects of filam ...

Optical Soc Amer2015

On the Development and Evaluation of Spatial-Domain Green's Functions for Multilayered Structures With Conductive Sheets

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis

This work focuses on Green's functions (GFs) of planar multilayered structures that may include an arbitrary number of conductive sheets. The spectral-domain GFs are derived through an automatized strategy based on the propagator matrix technique, while th ...

Institute of Electrical and Electronics Engineers2015