Zobrazeno 1 - 10
of 238
pro vyhledávání: '"CALVETTI, DANIELA"'
The aim of Electrical Impedance Tomography (EIT) is to determine the electrical conductivity distribution inside a domain by applying currents and measuring voltages on its boundary. Mathematically, the EIT reconstruction task can be formulated as a
Externí odkaz:
http://arxiv.org/abs/2405.03343
The electrical impedance tomography (EIT) problem of estimating the unknown conductivity distribution inside a domain from boundary current or voltage measurements requires the solution of a nonlinear inverse problem. Sparsity promoting hierarchical
Externí odkaz:
http://arxiv.org/abs/2404.19115
Autor:
Calvetti, Daniela, Somersalo, Erkki
We exploit the similarities between Tikhonov regularization and Bayesian hierarchical models to propose a regularization scheme that acts like a distributed Tikhonov regularization where the amount of regularization varies from component to component
Externí odkaz:
http://arxiv.org/abs/2404.05956
We consider inverse problems estimating distributed parameters from indirect noisy observations through discretization of continuum models described by partial differential or integral equations. It is well understood that the errors arising from the
Externí odkaz:
http://arxiv.org/abs/2310.03855
Dictionary learning methods continue to gain popularity for the solution of challenging inverse problems. In the dictionary learning approach, the computational forward model is replaced by a large dictionary of possible outcomes, and the problem is
Externí odkaz:
http://arxiv.org/abs/2309.00999
Autor:
Calvetti, Daniela, Somersalo, Erkki
Bayesian hierarchical models have been demonstrated to provide efficient algorithms for finding sparse solutions to ill-posed inverse problems. The models comprise typically a conditionally Gaussian prior model for the unknown, augmented by a hyperpr
Externí odkaz:
http://arxiv.org/abs/2303.16988
Stellar streams are sensitive probes of the Galactic potential. The likelihood of a stream model given stream data is often assessed using simulations. However, comparing to simulations is challenging when even the stream paths can be hard to quantif
Externí odkaz:
http://arxiv.org/abs/2212.00949
The different active roles of neurons and astrocytes during neuronal activation are associated with the metabolic processes necessary to supply the energy needed for their respective tasks at rest and during neuronal activation. Metabolism, in turn,
Externí odkaz:
http://arxiv.org/abs/2211.02182
A common task in inverse problems and imaging is finding a solution that is sparse, in the sense that most of its components vanish. In the framework of compressed sensing, general results guaranteeing exact recovery have been proven. In practice, sp
Externí odkaz:
http://arxiv.org/abs/2006.13524