Publications related to Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

Non-normal forms

In this thesis, we propose to formally derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they respond to harmonic or stochastic forcing, or to an initial condition. This approach reconciles the non-mo ...

EPFL2024

Toxin:antitoxin ratio sensing autoregulation of the Vibrio cholerae parDE2 module

Gabriela Garcia Rodriguez

The parDE family of toxin-antitoxin (TA) operons is ubiquitous in bacterial genomes and, in Vibrio cholerae, is an essential component to maintain the presence of chromosome II. Here, we show that transcription of the V. cholerae parDE2 (VcparDE) operon is ...

2024

A generic diffusion-based approach for 3D human pose prediction in the wild

Alexandre Massoud Alahi, Saeed Saadatnejad, Taylor Ferdinand Mordan

Predicting 3D human poses in real-world scenarios, also known as human pose forecasting, is inevitably subject to noisy inputs arising from inaccurate 3D pose estimations and occlusions. To address these challenges, we propose a diffusion-based approach th ...

IEEE2023

On combining denoising with learning-based image decoding

Touradj Ebrahimi, Michela Testolina

Noise is an intrinsic part of any sensor and is present, in various degrees, in any content that has been captured in real life environments. In imaging applications, several pre- and post-processing solutions have been proposed to cope with noise in captu ...

SPIE2022

Coarse graining and large-N behavior of the d-dimensional N-clock model

Matthias Ruf

We study the asymptotic behavior of the N-clock model, a nearest neighbors ferromagnetic spin model on the d-dimensional cubic epsilon-lattice in which the spin field is constrained to take values in a discretization S-N of the unit circle S-1 consisting o ...

2021

Sparse non-negative super-resolution - simplified and stabilised

Armin Eftekhari, Hemant Tyagi

We consider the problem of non-negative super-resolution, which concerns reconstructing a non-negative signal x = Sigma(k )(i=1)a(i)delta(ti) from m samples of its convolution with a window function phi(s - t), of the form y(s(j)) = Sigma(k)(i=1) a(i) phi( ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

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

Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams

Stephan Brunner

We present an extension of a linearized Coulomb collision operator, previously used in several Eulerian kinetic codes for like-species collisions and unlike-species collisions in the case where the backgrounds about which the linearization is made all are ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Stochastic Three-Composite Convex Minimization with a Linear Operator

Volkan Cevher

We develop a primal-dual convex minimization framework to solve a class of stochastic convex three-composite problem with a linear operator. We consider the cases where the problem is both convex and strongly convex and analyze the convergence of the propo ...

JMLR: W&CP2018

Non-local Functionals Related to the Total Variation and Connections with Image Processing

Hoài-Minh Nguyên

We present new results concerning the approximation of the total variation,

\int_{\Omega} |\nabla u|

, of a function

u

by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...

2018

Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

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Non-normal forms

Toxin:antitoxin ratio sensing autoregulation of the Vibrio cholerae parDE2 module

A generic diffusion-based approach for 3D human pose prediction in the wild

On combining denoising with learning-based image decoding

Coarse graining and large-N behavior of the d-dimensional N-clock model

Sparse non-negative super-resolution - simplified and stabilised

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams

Stochastic Three-Composite Convex Minimization with a Linear Operator

Non-local Functionals Related to the Total Variation and Connections with Image Processing

Non-normal forms

Toxin:antitoxin ratio sensing autoregulation of the Vibrio cholerae parDE2 module

Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams

A generic diffusion-based approach for 3D human pose prediction in the wild

Coarse graining and large-N behavior of the d-dimensional N-clock model

Non-local Functionals Related to the Total Variation and Connections with Image Processing

On combining denoising with learning-based image decoding

Sparse non-negative super-resolution - simplified and stabilised

Stochastic Three-Composite Convex Minimization with a Linear Operator

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications