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QUBO Formulations and Characterization of Penalty Parameters for the Multi-Knapsack Problem [PDF]
IEEE AccessThe Multi-Knapsack Problem (MKP) is a fundamental challenge in operations research and combinatorial optimization. Quantum computing introduces new possibilities for solving MKP using Quadratic Unconstrained Binary Optimization (QUBO) models.
Evren Guney +2 more
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Generalized Quadratic Augmented Lagrangian Methods with Nonmonotone Penalty Parameters [PDF]
Journal of Applied Mathematics, 2012 For nonconvex optimization problem with both equality and inequality constraints, we introduce a new augmented Lagrangian function and propose the corresponding multiplier algorithm. New iterative strategy on penalty parameter is presented.
Xunzhi Zhu +3 more
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Exact penalty functions with multidimensional penalty parameter and adaptive penalty updates [PDF]
Optimization Letters, 2021 In the second version, a number of small mistakes found in the paper was ...
Dolgopolik, M. V.
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An Adaptive Multiparameter Penalty Selection Method for Multiconstraint and Multiblock ADMM [PDF]
IEEE Open Journal of Signal ProcessingThis work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functions with block matrix components.
Luke Lozenski +2 more
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Automatic decrease of the penalty parameter in exact penalty function methods [PDF]
European Journal of Operational Research, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Annick Sartenaer
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On the Adaptive Penalty Parameter Selection in ADMM
Algorithms, 2023 Many data analysis problems can be modeled as a constrained optimization problem characterized by nonsmooth functionals, often because of the presence of ℓ1-regularization terms. One of the most effective ways to solve such problems is through the Alternate Direction Method of Multipliers (ADMM), which has been proved to have good theoretical ...
Serena Crisci +2 more
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工程科学学报, 2023 Material data are prepared in batches and stages, and data distribution in different batches varies. However, the average accuracy of neural networks declines when learning material data by batch, resulting in great challenges to the application of ...
Hong-ye WANG, Quan QIAN, Xing WU
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Image Classification and Land Cover Mapping Using Sentinel-2 Imagery: Optimization of SVM Parameters
Land, 2022 Land use/cover (LU/LC) classification provides proxies of the natural and social processes related to urban development, providing stakeholders with crucial information.
Saleh Yousefi +7 more
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Estimating Shape Parameters of Piecewise Linear-Quadratic Problems
Open Journal of Mathematical Optimization, 2021 Piecewise Linear-Quadratic (PLQ) penalties are widely used to develop models in statistical inference, signal processing, and machine learning.
Zheng, Peng +2 more
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Constrained and regularized system identification [PDF]
Modeling, Identification and Control, 1998 Prior knowledge can be introduced into system identification problems in terms of constraints on the parameter space, or regularizing penalty functions in a prediction error criterion.
Tor A. Johansen
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