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- research-articleOctober 2024
Dyadic Partition-Based Training Schemes for TV/TGV Denoising
Journal of Mathematical Imaging and Vision (JMIV), Volume 66, Issue 6Pages 1070–1108https://doi.org/10.1007/s10851-024-01213-xAbstractDue to their ability to handle discontinuous images while having a well-understood behavior, regularizations with total variation (TV) and total generalized variation (TGV) are some of the best-known methods in image denoising. However, like other ...
- research-articleSeptember 2024
Novel bilevel formulations for waste management
Discrete Applied Mathematics (DAMA), Volume 354, Issue CPages 181–198https://doi.org/10.1016/j.dam.2022.07.002AbstractIn this paper, we propose two bilevel models to cope with problems concerning waste management. The first formulation stems from a multi-objective version of the problem present in the literature, while the second one improves upon the first by ...
- research-articleSeptember 2024
Breaking the water dilemma: Transmission-guided bilevel adaptive learning for underwater imagery
AbstractSimultaneously enhancing the visual effects and resolution of underwater images poses a challenging task as it involves two types of image enhancement tasks, underwater image enhancement and image super-resolution. In spite of the emergence of ...
- research-articleAugust 2024
A Method for Multi-Leader–Multi-Follower Games by Smoothing the Followers’ Response Function
Journal of Optimization Theory and Applications (JOPT), Volume 203, Issue 1Pages 305–335https://doi.org/10.1007/s10957-024-02506-2AbstractThe multi-leader–multi-follower game (MLMFG) involves two or more leaders and followers and serves as a generalization of the Stackelberg game and the single-leader–multi-follower game. Although MLMFG covers wide range of real-world applications, ...
- research-articleNovember 2024
Bilevel learning approach for nonlocal p-Laplacien image deblurring with variable weights parameter w ( x )
Journal of Visual Communication and Image Representation (JVCIR), Volume 103, Issue Chttps://doi.org/10.1016/j.jvcir.2024.104248AbstractThis manuscript introduces an innovative bilevel optimization approach designed to improve the deblurring process by incorporating a nonlocal p-Laplacien model with variable weights. The study includes a theoretical analysis to examine the model’...
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- research-articleJuly 2024
Robust bilevel optimization for near-optimal lower-level solutions
Journal of Global Optimization (KLU-JOGO), Volume 90, Issue 4Pages 813–842https://doi.org/10.1007/s10898-024-01422-zAbstractBilevel optimization problems embed the optimality of a subproblem as a constraint of another optimization problem. We introduce the concept of near-optimality robustness for bilevel optimization, protecting the upper-level solution feasibility ...
- ArticleJune 2024
On a Global Search in Bilevel Optimization Problems with a Bimatrix Game at the Lower Level
Mathematical Optimization Theory and Operations ResearchPages 272–287https://doi.org/10.1007/978-3-031-62792-7_19AbstractThis paper addresses one class of bilevel optimization problems (BOPs) with an equilibrium at the lower level (in optimistic statement). Namely, we study BOPs with a convex quadratic optimization problem under linear constraints at the upper level ...
- research-articleJuly 2024
A bilevel learning approach for nonlocal image deblurring with variable weights parameter
AbstractThis paper introduces an innovative bilevel optimization approach to elevate the deblurring process. By integrating a weights variable nonlocal model with a spatially varying attached term, the methodology aims to achieve enhanced restoration ...
- rapid-communicationMay 2024
Markov decision process design: A framework for integrating strategic and operational decisions
AbstractWe consider the problem of optimally designing a system for repeated use under uncertainty. We develop a modeling framework that integrates the design and operational phases, which are represented by a mixed-integer program and discounted-cost ...
- research-articleApril 2024
Chance-constrained programs with convex underlying functions: a bilevel convex optimization perspective
Computational Optimization and Applications (COOP), Volume 88, Issue 3Pages 819–847https://doi.org/10.1007/s10589-024-00573-9AbstractChance constraints are a valuable tool for the design of safe decisions in uncertain environments; they are used to model satisfaction of a constraint with a target probability. However, because of possible non-convexity and non-smoothness, ...
- research-articleApril 2024
A nested optimization approach for robot gripper multi-objective optimization problem
Expert Systems with Applications: An International Journal (EXWA), Volume 239, Issue Chttps://doi.org/10.1016/j.eswa.2023.122163AbstractRobot Gripper Design Optimization Problem is a well-known multi-objective optimization problem explored by various approaches in previous studies over the last few decades. The continuous parameter z plays an important role in determining a robot ...
- research-articleJuly 2024
A new bi-level mathematical model for government-farmer interaction regarding food security and environmental damages of pesticides and fertilizers: Case study of rice supply chain in Iran
Computers and Electronics in Agriculture (COEA), Volume 219, Issue Chttps://doi.org/10.1016/j.compag.2024.108771Highlights- Presenting a new bi-level mathematical model for government-farmer interaction.
- Attention to food security and environmental damages of pesticides and fertilizers.
- Using different sensitivity analysis for a case study of rice in ...
As an important crop, rural farmers mainly plant rice on small agricultural lands. The rice supply chain provides specific features in Agricultural Supply Chain due to high demand, product diversity, and wide production area. Therefore, it is one ...
- research-articleApril 2024
Task derivation and decomposition in crowdsourced manufacturing by bilevel coordinated optimization of product family planning and manufacturer load balancing
Computers and Industrial Engineering (CINE), Volume 190, Issue Chttps://doi.org/10.1016/j.cie.2024.110101Highlights- Manufacturing as services through crowdsourcing.
- New formulation of task derivation and decomposition for operations planning of crowdsourcing.
- Coordination of product family planning and manufacturer load balancing in crowdsourced ...
Crowdsourcing in manufacturing enables collaborative product fulfillment through supply contracting, aligned with task derivation and decomposition. Effective coordination of product family planning (PFP) with manufacturing processes is crucial ...
- research-articleJuly 2024
Data and measurement mechanism integrated imaging method for electrical capacitance tomography
AbstractThis study presents a new imaging paradigm for overcoming the challenges limiting the improvement of the imaging quality in the electrical capacitance technique. The new imaging model enables the integration of measurement physics, sparsity-...
Highlights- A data and measurement mechanism integrated imaging method is proposed for ECT.
- A physics-informed multi-fidelity method is built for inferring image priors.
- Measurement physics and data-driven modeling paradigms are unified.
- ...
- research-articleMarch 2024
Inexact direct-search methods for bilevel optimization problems
Computational Optimization and Applications (COOP), Volume 88, Issue 2Pages 469–490https://doi.org/10.1007/s10589-024-00567-7AbstractIn this work, we introduce new direct-search schemes for the solution of bilevel optimization (BO) problems. Our methods rely on a fixed accuracy blackbox oracle for the lower-level problem, and deal both with smooth and potentially nonsmooth true ...
- research-articleFebruary 2024
Bilevel optimization for the deployment of refuelling stations for electric vehicles on road networks
Computers and Operations Research (CORS), Volume 162, Issue Chttps://doi.org/10.1016/j.cor.2023.106460AbstractThis work consists of a procedure to optimally select, among a group of candidate sites where gas stations were already located, a sufficient number of charging points in order to guarantee that an electric vehicle can make its journey without a ...
Highlights- Two models for the transformation of gas stations into electric stations.
- Each model with distinct priorities: coverage optimization and node attractiveness.
- Computational experiments consider instances with a larger number of gas ...
- research-articleDecember 2023
Single-Leader-Radner-Equilibrium: A New Approach for a Class of Bilevel Problems Under Uncertainty
Journal of Optimization Theory and Applications (JOPT), Volume 200, Issue 1Pages 344–370https://doi.org/10.1007/s10957-023-02339-5AbstractBilevel problems with several followers, often called Single-Leader-Multi-Follower problems, have been proved to be very useful for modeling hierarchical interactions between agents in economics, industry, etc. When uncertainty must be taken into ...
- research-articleOctober 2023
Combined knowledge transfer and adaptive coordinate systems approach for evolutionary bilevel optimization
Expert Systems with Applications: An International Journal (EXWA), Volume 228, Issue Chttps://doi.org/10.1016/j.eswa.2023.120309AbstractReducing the number of lower-level function evaluations (LFEs) is crucial to designing a bilevel evolutionary algorithm (BLEA) for bilevel optimization. Direct neighbor solution transfer (DST) is regularly used in BLEA because it can improve the ...
Highlights- We propose a bilevel improved multi-operator differential evolution algorithm.
- We propose a knowledge transfer approach to avoid misleading search.
- We propose an adaptive coordinate systems approach to improve search efficiency.
- research-articleOctober 2023
Transfer learning-driven inversion method for the imaging problem in electrical capacitance tomography
Expert Systems with Applications: An International Journal (EXWA), Volume 227, Issue Chttps://doi.org/10.1016/j.eswa.2023.120277Highlights- A new mathematical model is introduced for electrical capacitance tomography.
- A ...
Low-quality tomograms constrain the potential of the electrical capacitance tomography technology. In order to break through this bottleneck and innovate reconstruction algorithms, the deep transfer learning prior (DTLP) is introduced ...