Unveiling the sampling density in non-uniform geometric graphs
A powerful framework for studying graphs is to consider them as geometric graphs: nodes
are randomly sampled from an underlying metric space, and any pair of nodes is connected …
are randomly sampled from an underlying metric space, and any pair of nodes is connected …
Compressed data separation via unconstrained -split analysis
M Gu, S Li, J Lin - Analysis and Applications, 2023 - World Scientific
We investigate the problems of reconstruction signals' distinct subcomponents, that are
approximately sparse in terms of morphologically different dictionaries, from a few noisy …
approximately sparse in terms of morphologically different dictionaries, from a few noisy …
Compressed Data Separation via ℓq-Split Analysis with ℓ∞-Constraint
MY Gu, S Li, JH Lin - Acta Mathematica Sinica, English Series, 2024 - Springer
In this paper, we study compressed data separation (CDS) problem, ie, sparse data
separation from a few linear random measurements. We propose the nonconvex ℓ q-split …
separation from a few linear random measurements. We propose the nonconvex ℓ q-split …
An asymptotic analysis of separating pointlike and -curvelike singularities
VT Do, A Goeßmann - arXiv preprint arXiv:2107.01949, 2021 - arxiv.org
In this paper, we present a theoretical analysis of separating images consisting of pointlike
and $ C^{\beta} $-curvelike structures, where $\beta\in (1, 2] $. Our approach is based on …
and $ C^{\beta} $-curvelike structures, where $\beta\in (1, 2] $. Our approach is based on …
Multi-component separation, inpainting and denoising with recovery guarantees
VT Do - Research in the Mathematical Sciences, 2024 - Springer
In image processing, problems of separation and reconstruction of missing pixels from
incomplete digital images have been far more advanced in past decades. Many empirical …
incomplete digital images have been far more advanced in past decades. Many empirical …
Theoretical analysis of image separation and image inpainting: a compressed sensing approach
VT Do - 2023 - depositonce.tu-berlin.de
In image processing, problems of separation and reconstruction of missing pixels from
incomplete digital images have been far more advanced in past decades. Many empirical …
incomplete digital images have been far more advanced in past decades. Many empirical …
[PDF][PDF] AN ASYMPTOTIC ANALYSIS OF SEPARATING POINTLIKE AND Cβ− CURVELIKE SINGULARITIES
DO VAN TIEP, A GOESSMANN - arXiv preprint arXiv:2107.01949, 2021 - academia.edu
In this paper, we present a theoretical analysis of separating images consisting of pointlike
and Cβ-curvelike structures, where β∈(1, 2]. Our approach is based on l1-minimization, in …
and Cβ-curvelike structures, where β∈(1, 2]. Our approach is based on l1-minimization, in …