Image denoising: The deep learning revolution and beyond—a survey paper

M Elad, B Kawar, G Vaksman - SIAM Journal on Imaging Sciences, 2023 - SIAM
Image denoising—removal of additive white Gaussian noise from an image—is one of the
oldest and most studied problems in image processing. Extensive work over several …

Higher-order total variation approaches and generalisations

K Bredies, M Holler - Inverse Problems, 2020 - iopscience.iop.org
Over the last decades, the total variation (TV) has evolved to be one of the most broadly-
used regularisation functionals for inverse problems, in particular for imaging applications …

Denoising of crystal orientation maps

R Hielscher, CB Silbermann, E Schmidl… - Journal of Applied …, 2019 - journals.iucr.org
This paper compares several well known sliding-window methods for denoising crystal
orientation data with variational methods adapted from mathematical image analysis. The …

Deep generative model embedding of single-cell RNA-Seq profiles on hyperspheres and hyperbolic spaces

J Ding, A Regev - Nature communications, 2021 - nature.com
Abstract Single-cell RNA-Seq (scRNA-seq) is invaluable for studying biological systems.
Dimensionality reduction is a crucial step in interpreting the relation between cells in scRNA …

Parallel transport on the cone manifold of SPD matrices for domain adaptation

O Yair, M Ben-Chen, R Talmon - IEEE Transactions on Signal …, 2019 - ieeexplore.ieee.org
In this paper, we consider the problem of domain adaptation. We propose to view the data
through the lens of covariance matrices and present a method for domain adaptation using …

Compound regularization of full-waveform inversion for imaging piecewise media

HS Aghamiry, A Gholami… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Full-waveform inversion (FWI) is an iterative nonlinear waveform matching procedure, which
seeks to reconstruct unknown model parameters from partial waveform measurements. The …

Manopt. jl: Optimization on manifolds in Julia

R Bergmann - 2022 - ntnuopen.ntnu.no
Manopt. jl provides a set of optimization algorithms for optimization problems given on a
Riemannian manifold M. Based on a generic optimization framework, together with the …

Improving EEG-based decoding of the locus of auditory attention through domain adaptation

J Wilroth, B Bernhardsson, F Heskebeck… - Journal of Neural …, 2023 - iopscience.iop.org
Objective. This paper presents a novel domain adaptation (DA) framework to enhance the
accuracy of electroencephalography (EEG)-based auditory attention classification …

Manifolds. jl: an extensible Julia framework for data analysis on manifolds

SD Axen, M Baran, R Bergmann, K Rzecki - ACM Transactions on …, 2023 - dl.acm.org
We present the Julia package Manifolds. jl, providing a fast and easy-to-use library of
Riemannian manifolds and Lie groups. This package enables working with data defined on …

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds

R Bergmann, R Herzog, M Silva Louzeiro… - Foundations of …, 2021 - Springer
This paper introduces a new notion of a Fenchel conjugate, which generalizes the classical
Fenchel conjugation to functions defined on Riemannian manifolds. We investigate its …