New analysis of linear convergence of gradient-type methods via unifying error bound conditions
H Zhang - Mathematical Programming, 2020 - Springer
This paper reveals that a common and central role, played in many error bound (EB)
conditions and a variety of gradient-type methods, is a residual measure operator. On one …
conditions and a variety of gradient-type methods, is a residual measure operator. On one …
Physics-informed multi-fidelity learning-driven imaging method for electrical capacitance tomography
J Lei, Q Liu, X Wang - Engineering Applications of Artificial Intelligence, 2022 - Elsevier
The electrical capacitance tomography is considered to be a promising non-invasive
visualization method for the measurement of multiphase flow parameters, but low-quality …
visualization method for the measurement of multiphase flow parameters, but low-quality …
On the nonmonotone linesearch for a class of infinite-dimensional nonsmooth problems
B Azmi, M Bernreuther - arXiv preprint arXiv:2303.01878, 2023 - arxiv.org
This paper provides a comprehensive study of the nonmonotone forward-backward splitting
(FBS) method for solving a class of nonsmooth composite problems in Hilbert spaces. The …
(FBS) method for solving a class of nonsmooth composite problems in Hilbert spaces. The …
Deep nested algorithm unrolling learning for inverse problems with its application in electrical capacitance tomography
J Lei, Q Liu, X Wang - Engineering Applications of Artificial Intelligence, 2024 - Elsevier
Electrical capacitance tomography stands out as a promising measurement modality but is
limited by low-quality images. To alleviate this challenge, this study establishes a new …
limited by low-quality images. To alleviate this challenge, this study establishes a new …
Quadratic growth conditions and uniqueness of optimal solution to Lasso
In the previous paper Bello-Cruz et al.(J Optim Theory Appl 188: 378–401, 2021), we
showed that the quadratic growth condition plays a key role in obtaining Q-linear …
showed that the quadratic growth condition plays a key role in obtaining Q-linear …
Multitasking optimization for the imaging problem in electrical capacitance tomography
J Lei, Q Liu - Expert Systems with Applications, 2024 - Elsevier
Electrical capacitance tomography excels in measuring multiphase flows, but it faces
challenges in reconstructing high-accuracy images. To tap into the potential of this …
challenges in reconstructing high-accuracy images. To tap into the potential of this …
Minimax bilevel fractional optimization for imaging in electrical capacitance tomography
J Lei, Q Liu - Applied Soft Computing, 2025 - Elsevier
Electrical capacitance tomography shows great promise in measuring multiphase flow
parameters, but its effectiveness is hampered by poor image reconstruction quality. To …
parameters, but its effectiveness is hampered by poor image reconstruction quality. To …
Perturbation techniques for convergence analysis of proximal gradient method and other first-order algorithms via variational analysis
We develop new perturbation techniques for conducting convergence analysis of various
first-order algorithms for a class of nonsmooth optimization problems. We consider the …
first-order algorithms for a class of nonsmooth optimization problems. We consider the …
Data and measurement mechanism integrated imaging method for electrical capacitance tomography
J Lei, Q Liu - Applied Soft Computing, 2024 - Elsevier
This study presents a new imaging paradigm for overcoming the challenges limiting the
improvement of the imaging quality in the electrical capacitance technique. The new …
improvement of the imaging quality in the electrical capacitance technique. The new …
Sharp, strong and unique minimizers for low complexity robust recovery
In this paper, we show the important roles of sharp minima and strong minima for robust
recovery. We also obtain several characterizations of sharp minima for convex regularized …
recovery. We also obtain several characterizations of sharp minima for convex regularized …