Publications associées à Problème bien posé

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

We focus on the generalized-interpolation problem. There, one reconstructs continuous-domain signals that honor discrete data constraints. This problem is infinite-dimensional and ill-posed. We make it well-posed by imposing that the solution balances data ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Good Vibrations and Unknown Excitations

Dalia Salem Hassan Fahmy El Badawy

Inspired by the human ability to localize sounds, even with only one ear, as well as to recognize objects using active echolocation, we investigate the role of sound scattering and prior knowledge in regularizing ill-posed inverse problems in acoustics. In ...

EPFL2020

Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations for wave propagation in periodic media for arbitrary timescales O(epsilon-alpha), where epsilon MUCH LESS-THAN1 is the period of the tensor describing the medium, is proposed. The well-posedness of the effective equations of ...

SPRINGER2020

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Matthieu Martin Jean-André Simeoni

Many scientific inquiries in natural sciences involve approximating a spherical field -namely a scalar quantity defined over a continuum of directions- from generalised samples of the latter (e.g. directional samples, local averages, etc). Such an approxim ...

EPFL2020

Deep-learning projector for optical diffraction tomography

Michaël Unser, Thanh-An Michel Pham, Harshit Gupta, Fangshu Yang

Optical diffraction tomography is an effective tool to estimate the refractive indices of unknown objects. It proceeds by solving an ill-posed inverse problem for which the wave equation governs the scattering events. The solution has traditionally been de ...

OPTICAL SOC AMER2020

Consistency in Solving the Inverse Problem of the Voce-Chaboche Constitutive Model for Plastic Straining

Dimitrios Lignos, Albano António De Abreu E Presa De Castro E Sousa

This paper focuses on an inverse problem involving a commonly used material model in structural steel applications—the Voce-Chaboche model. In particular, the paper proposes an approach focused on obtaining a consistent set of material parameters that accu ...

2020

Localized Spectral Graph Filter Frames: A Unifying Framework, Survey of Design Considerations, and Numerical Comparison

David Shuman

A major line of work in graph signal processing [2] during the past 10 years has been to design new transform methods that account for the underlying graph structure to identify and exploit structure in data residing on a connected, weighted, undirected gr ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

ActiveAx(ADD): Toward non-parametric and orientationally invariant axon diameter distribution mapping using PGSE

Jean-Philippe Thiran, David Paul Roger Romascano, Alessandro Daducci, Muhamed Barakovic, Tim Bjørn Dyrby

Purpose Non-invasive axon diameter distribution (ADD) mapping using diffusion MRI is an ill-posed problem. Current ADD mapping methods require knowledge of axon orientation before performing the acquisition. Instead, ActiveAx uses a 3D sampling scheme to e ...

2019

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Problème bien posé

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

Good Vibrations and Unknown Excitations

Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Deep-learning projector for optical diffraction tomography

Consistency in Solving the Inverse Problem of the Voce-Chaboche Constitutive Model for Plastic Straining

Point, Plane, Set, Match! Winning the Echo Grand SLAM

Localized Spectral Graph Filter Frames: A Unifying Framework, Survey of Design Considerations, and Numerical Comparison

Functional Penalised Basis Pursuit on Spheres

ActiveAx(ADD): Toward non-parametric and orientationally invariant axon diameter distribution mapping using PGSE

Graph Chatbot

Chattez avec Graph Search

Functional Penalised Basis Pursuit on Spheres

ActiveAx(ADD): Toward non-parametric and orientationally invariant axon diameter distribution mapping using PGSE

Good Vibrations and Unknown Excitations

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Localized Spectral Graph Filter Frames: A Unifying Framework, Survey of Design Considerations, and Numerical Comparison

Consistency in Solving the Inverse Problem of the Voce-Chaboche Constitutive Model for Plastic Straining

Deep-learning projector for optical diffraction tomography

Point, Plane, Set, Match! Winning the Echo Grand SLAM