Publications associées à On the uniqueness of solutions for the basis pursuit in the continuum

Publications associées (13)

A Dynamical Yukawa2 Model

We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa(2) Euclidean field theory with a self-interacting boson. Our regularised dynamic is still singular but avoids non-local divergen ...

SPRINGER2025

Conformal leptogenesis in composite Higgs models

Majid Ekhterachian

We study the generation of the baryon asymmetry in Composite Higgs models with partial compositeness of the Standard Model (SM) fermions and heavy right-handed neutrinos, developing for the first time a complete picture of leptogenesis in that setup. The a ...

SPRINGER2025

Structured Random Model for Fast and Robust Phase Retrieval

Michaël Unser, Jonathan Yuelin Dong

Phase retrieval, a nonlinear problem prevalent in imaging applications, has been extensively studied using random models, some of which with i.i.d. sensing matrix components. While these models offer robust reconstruction guarantees, they are computational ...

Institute of Electrical and Electronics Engineers Inc.2025

PARAMETRIC SHAPE HOLOMORPHY OF BOUNDARY INTEGRAL OPERATORS WITH APPLICATIONS

Fernando José Henriquez Barraza

We consider a family of boundary integral operators supported on a collection of parametrically defined bounded Lipschitz boundaries. Consequently, the boundary integral operators themselves also depend on the parametric variables, thus leading to a parame ...

2024

Petviashvili Method for the Fractional Schrodinger Equation

Sofi Farazande

In this paper, we extend the Petviashvili method (PM) to the fractional nonlinear Schrodinger equation (fNLSE) for the construction and analysis of its soliton solutions. We also investigate the temporal dynamics and stabilities of the soliton solutions of ...

2023

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod

The transmission eigenvalue problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. In this work, we establish the Weyl law for the eigenvalues and the completeness of the generalized eigenf ...

Siam Publications2023

Ridges, Neural Networks, and the Radon Transform

Michaël Unser

A ridge is a function that is characterized by a one-dimensional profile (activation) and a multidimensional direction vector. Ridges appear in the theory of neural networks as functional descriptors of the effect of a neuron, with the direction vector bei ...

2023

Broadband Mechanically Tunable Metasurface Reflectivity Modulator in the Visible Spectrum

Olivier Martin, Luis Guillermo Villanueva Torrijo, Niels Quack, Andrei Kiselev, Dorian Giraud Herle

Reflectivity modulation is a critical feature for applicationsin telecommunications, 3D imaging and printing, advanced laser machining,or portable displays. Tunable metasurfaces have recently emerged asa promising implementation for miniaturized and high-p ...

AMER CHEMICAL SOC2023

Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling

Tommaso Vanzan

This paper derives optimized coefficients for optimized Schwarz iterations for the time-dependent Stokes-Darcy problem using an innovative strategy to solve a nonstandard min-max problem. The coefficients take into account both physical and discretization ...

OXFORD UNIV PRESS2023

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Fabio Nobile, Yoshihito Kazashi

This paper deals with the kernel-based approximation of a multivariate periodic function by interpolation at the points of an integration lattice-a setting that, as pointed out by Zeng et al. (Monte Carlo and Quasi-Monte Carlo Methods 2004, Springer, New Y ...

Springer2022

Search for the decay B-0 -> phi mu(+) mu(-)

Olivier Schneider, Aurelio Bay, Guido Haefeli, Tatsuya Nakada, Frédéric Blanc, Lesya Shchutska, Elena Graverini, Michel De Cian, Vladimir Macko, Sebastian Schulte, Donal Patrick Hill, Guillaume Max Pietrzyk, Maria Vieites Diaz, Marie Theres Christin Bachmayer, Lino Ferreira Lopes, Matthieu Philippe Luther Marinangeli, Serhii Cholak, Veronica Sølund Kirsebom, Ettore Zaffaroni, Surapat Ek-In, Ana Bárbara Rodrigues Cavalcante, Sara Celani, Renato Quagliani, Carina Trippl, Sonia Amina Bouchiba, Alison Maria Tully, Elisabeth Maria Niel, Maarten Willibrord Uriël Van Dijk

A search for the decay B-0 -> phi mu(+) mu(-) is performed using proton-proton collisions at centre-of-mass energies of 7, 8, and 13 TeV collected by the LHCb experiment and corresponding to an integrated luminosity of 9 fb(-1). No evidence for the B-0 -> ...

Springer Nature2022

Emergence of active turbulence in microswimmer suspensions due to active hydrodynamic stress and volume exclusion

Kai Qi

Microswimmers are ubiquitous in nature and present highly-dynamic collective motion. This study presents computational simulations of spheroidal model-microswimmers confined between two walls, revealing two collective dynamic states, giant motile clusters ...

2022

Editorial: Modeling and Applications of Optoelectronic Devices for Access Networks

Nico de Rooij

2021