7 citations · 10 across the 12 of their papers we have counts for
15 papers
Dimension-Uniform Discretization Analysis of Preconditioned Annealed Langevin Dynamics for Multimodal Gaussian Mixtures
Lorenzo Baldassari, Josselin Garnier, Knut Solna +1
Obtaining stable diffusion-based samplers in high- and infinite-dimensional settings is challenging because errors can accumulate across high-frequency coordinates and make the dyn…
On Observation Time for Recovering Latent Hawkes Networks
Jonas Linkerhägner, Michele Bortolasi, Lorenzo Baldassari +2
Dynamics of interacting systems in engineering, society, and nature often evolve over latent networks that govern which entities can interact. We study the problem of inferring the…
Gaussian Surrogates for Poisson Imaging: Some Theoretical and Empirical Results
Alexandra Spitzer, Lorenzo Baldassari, Valentin Debarnot +2
In imaging inverse problems with Poisson-distributed measurements, it is common to use objectives derived from the Poisson likelihood. But performance is often evaluated by mean sq…
Dimension-Free Multimodal Sampling via Preconditioned Annealed Langevin Dynamics
Lorenzo Baldassari, Josselin Garnier, Knut Solna +1
Designing sampling algorithms for multimodal targets that remain stable under refinement of the finite-dimensional approximation of an underlying function-space problem is a centra…
Preconditioned Langevin Dynamics with Score-Based Generative Models for Infinite-Dimensional Linear Bayesian Inverse Problems
Lorenzo Baldassari, Josselin Garnier, Knut Solna +1
Designing algorithms for solving high-dimensional Bayesian inverse problems directly in infinite-dimensional function spaces - where such problems are naturally formulated - is cru…
Taming Score-Based Diffusion Priors for Infinite-Dimensional Nonlinear Inverse Problems
Lorenzo Baldassari, Ali Siahkoohi, Josselin Garnier +2
This work introduces a sampling method capable of solving Bayesian inverse problems in function space. It does not assume the log-concavity of the likelihood, meaning that it is co…
Conditional score-based diffusion models for Bayesian inference in infinite dimensions
Lorenzo Baldassari, Ali Siahkoohi, Josselin Garnier +2
Since their initial introduction, score-based diffusion models (SDMs) have been successfully applied to solve a variety of linear inverse problems in finite-dimensional vector spac…
Early-warning inverse source problem for the elasto-gravitational equations
Lorenzo Baldassari, Maarten V. de Hoop, Elisa Francini +1
Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial diffe…
Super-localisation of a point-like emitter in a resonant environment : correction of the mirage effect
Lorenzo Baldassari, Alice L. Vanel, Pierre Millien
In this paper, we show that it is possible to overcome one of the fundamental limitations of super-resolution microscopy techniques: the necessity to be in an \emph{optically homog…
Modal approximation for plasmonic resonators in the time domain: the scalar case
Lorenzo Baldassari, Pierre Millien, Alice L. Vanel
We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous m…
Multi-scale classification for electro-sensing
Lorenzo Baldassari, Andrea Scapin
This paper introduces premier and innovative (real-time) multi-scale method for target classification in electro-sensing. The intent is that of mimicking the behavior of the weakly…
Reconstruction of a small acoustic inclusion via Time-dependent Polarization Tensors
Lorenzo Baldassari, Andrea Scapin
This paper aims at introducing the concept of time-dependent polarization tensors (TDPTs) for the wave equation associated to a diametrically small acoustic inclusion, with constit…
Time-Dependent Polarization Tensors: Derivation of Asymptotic Expansions for the Transient Wave Equation
Lorenzo Baldassari
This report aims at establishing a theoretical framework for dealing with the reconstruction problem of a small acoustic inclusion. The objective is to introduce the new concept of…
Scattering Coefficients of Inhomogeneous Objects and Their Application in Target Classification in Wave Imaging
Lorenzo Baldassari
The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dep…
A straightforward proof of Carleman estimate for second order elliptic operator and a three sphere inequality
Lorenzo Baldassari, Sergio Vessella
In this paper we provide a simple proof of a Carleman estimate for a second order elliptic operator with Lipschitz leading coefficients. We apply such a Carleman estimate to de…