51 citations · 289 across the 43 of their papers we have counts for
5 papers · 1 filter
Gradient-Based Non-Linear Inverse Learning
Abhishake, Nicole Mücke, Tapio Helin
We study statistical inverse learning in the context of nonlinear inverse problems under random design. Specifically, we address a class of nonlinear problems by employing gradient…
Learning sparsity-promoting regularizers for linear inverse problems
Giovanni S. Alberti, Ernesto De Vito, Tapio Helin +3
This paper introduces a novel approach to learning sparsity-promoting regularizers for solving linear inverse problems. We develop a bilevel optimization framework to select an opt…
Surrogate model for Bayesian optimal experimental design in chromatography
Jose Rodrigo Rojo-Garcia, Heikki Haario, Tapio Helin +1
We applied Bayesian Optimal Experimental Design (OED) in the estimation of parameters involved in the Equilibrium Dispersive Model for chromatography with two components with the L…
Recovery of transversely-isotropic elastic material parameters in induction motor rotors
Hanz Martin Cheng, Tapio Helin, Ville-Petteri Manninen +4
We propose numerical algorithms for recovering parameters in eigenvalue problems for linear elasticity of transversely isotropic materials. Specifically, the algorithms are used to…
An Unconditional Representation of the Conditional Score in Infinite-Dimensional Linear Inverse Problems
Fabian Schneider, Duc-Lam Duong, Matti Lassas +2
Score-based diffusion models (SDMs) have emerged as a powerful tool for sampling from the posterior distribution in Bayesian inverse problems. However, existing methods often requi…