Off-the-grid regularisation for Poisson inverse problems
Sign Up to like & getrecommendations! Published in 2024 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-025-00688-7
Abstract: Off-the-grid regularisation has been extensively employed over the last decade in the context of ill-posed inverse problems formulated in the continuous setting of the space of Radon measures M(Ω)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}… read more here.
Keywords: inverse problems; poisson; grid regularisation; document ... See more keywords
Time Adaptive Numerical Solution of a Highly Degenerate Diffusion–Reaction Biofilm Model Based on Regularisation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0483-y
Abstract: We consider a quasilinear degenerate diffusion–reaction system that describes biofilm formation. The model exhibits two non-linear effects: a power law degeneracy as one of the dependent variables vanishes and a super diffusion singularity as it… read more here.
Keywords: regularisation; diffusion; diffusion reaction; model ... See more keywords
Revising regularisation with linear approximation term for compressive sensing improvement
Sign Up to like & getrecommendations! Published in 2019 at "Electronics Letters"
DOI: 10.1049/el.2018.8019
Abstract: In this Letter, the authors propose a novel revised regularisation to improve the performance of compressive sensing (CS) reconstruction. They suppose that a specific regularisation term is insufficient to accommodate the prior information of CS… read more here.
Keywords: approximation term; term; compressive sensing; linear approximation ... See more keywords
Least-squares Kirchhoff migration with non-smooth regularisation strategy for subsurface imaging
Sign Up to like & getrecommendations! Published in 2018 at "Exploration Geophysics"
DOI: 10.1071/eg16132
Abstract: During the past several decades, many types of wave-equation migration methods arise for subsurface structure imaging. The classical Kirchhoff migration, however, is still widely adopted in the petroleum industry owing to its flexibility and computational… read more here.
Keywords: regularisation; subsurface; squares kirchhoff; least squares ... See more keywords
Variational regularisation for inverse problems with imperfect forward operators and general noise models
Sign Up to like & getrecommendations! Published in 2020 at "Inverse Problems"
DOI: 10.1088/1361-6420/abc531
Abstract: Abstract We study variational regularisation methods for inverse problems with imperfect forward operators whose errors can be modelled by order intervals in a partial order of a Banach lattice. We carry out analysis with respect… read more here.
Keywords: regularisation; variational regularisation; imperfect forward; forward operators ... See more keywords
On regularisation of coherent imagery with proximal methods
Sign Up to like & getrecommendations! Published in 2024 at "Inverse Problems"
DOI: 10.1088/1361-6420/add75d
Abstract: In complex-valued coherent inverse problems such as synthetic aperture radar (SAR), one may often have prior information only on the magnitude image which shows the features of interest such as strength of reflectivity. In contrast,… read more here.
Keywords: regularisation coherent; proximal map; imagery proximal; coherent imagery ... See more keywords
A spectrum of regularisation approaches to resolving sharp boundaries in complex resistivity inversions
Sign Up to like & getrecommendations! Published in 2025 at "Geophysical Journal International"
DOI: 10.1093/gji/ggaf365
Abstract: Mineral exploration is frequently centred around delineating discrete geological units with, typically, sharp boundaries that could represent economic targets. In the case of complex resistivity (CR) inversions, the choice of regularisation and model parameterisation significantly… read more here.
Keywords: sharp boundaries; complex resistivity; geological units; resistivity inversions ... See more keywords
Fast Unsupervised Bayesian Image Segmentation With Adaptive Spatial Regularisation
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Image Processing"
DOI: 10.1109/tip.2017.2675165
Abstract: This paper presents a new Bayesian estimation technique for hidden Potts–Markov random fields with unknown regularisation parameters, with application to fast unsupervised $K$ -class image segmentation. The technique is derived by first removing the regularisation… read more here.
Keywords: methodology; regularisation; image; spatial regularisation ... See more keywords
Optimised Path Space Regularisation
Sign Up to like & getrecommendations! Published in 2021 at "Computer Graphics Forum"
DOI: 10.1111/cgf.14347
Abstract: We present Optimised Path Space Regularisation (OPSR), a novel regularisation technique for forward path tracing algorithms. Our regularisation controls the amount of roughness added to materials depending on the type of sampled paths and trades… read more here.
Keywords: optimised path; regularisation; path space; space regularisation ... See more keywords
Multivariate Bayesian Global–Local Shrinkage Methods for Regularisation in the High-Dimensional Linear Model
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13111812
Abstract: This paper considers Bayesian regularisation using global–local shrinkage priors in the multivariate general linear model when there are many more explanatory variables than observations. We adopt priors’ structures used extensively in univariate problems (conjugate and… read more here.
Keywords: global local; regularisation; linear model; local shrinkage ... See more keywords
Influence of the Neural Network Morphology Symmetry on the Complex Dynamic Objects' Diagnostics
Sign Up to like & getrecommendations! Published in 2024 at "Symmetry"
DOI: 10.3390/sym17010035
Abstract: In this article, to study the influence of neural networks’ morphology symmetry, a mathematical model is developed that considers dynamic symmetry for diagnosing complex dynamic objects. The developed mathematical model includes the symmetric architecture concept… read more here.
Keywords: morphology symmetry; network; regularisation; neural network ... See more keywords