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Restricted dissimilarity functions and penalty functions [PDF]
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011), 2011 In this work we introduce the definition of restricted dissimilarity functions and we link it with some other notions, such as metrics. In particular, we also show how restricted dissimilarity functions can be used to build penalty functions.
Gleb Beliakov +4 more
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On two recent nonconvex penalties for regularization in machine learning
Results in Applied Mathematics, 2022 Regularization methods are often employed to reduce overfitting of machine learning models. Nonconvex penalty functions are often considered for regularization because of their near-unbiasedness properties.
Sujit Vettam, Majnu John
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IEEE Access, 2021 Modern communication systems of high data capacity incorporate circular polarization (CP) as the preferred antenna radiation field configuration. In many applications, integration of the system circuitry with antennas imposes size limitations on CP ...
Marzieh Mahrokh, Slawomir Koziel
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On Shor's r-Algorithm for Problems with Constraints
Кібернетика та комп'ютерні технології, 2023 Introduction. Nonsmooth optimization problems arise in a wide range of applications, including engineering, finance, and deep learning, where activation functions often have discontinuous derivatives, such as ReLU.
Vladimir Norkin, Anton Kozyriev
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Optimal Investment of Merton Model for Multiple Investors with Frictions
Mathematics, 2023 We investigate the classical optimal investment problem of the Merton model in a discrete time with market friction due to loss of wealth in trading. We consider the case of a finite number of investors, with the friction for each investor represented by
Souhail Chebbi, Senda Ounaies
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Multi-Period Optimal Reactive Power Dispatch Using a Mean-Variance Mapping Optimization Algorithm
Computers, 2022 Optimal reactive power dispatch plays a key role in the safe operation of electric power systems. It consists of the optimal management of the reactive power sources within the system, usually with the aim of reducing system power losses.
Daniel C. Londoño Tamayo +2 more
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Near Feasibility Driven Adaptive Penalty Functions Embedded MOEA/D
IEEE Access, 2023 This work extends a near feasibility threshold (NFT) based adaptive penalty function for constrained multiobjective optimization. The NFT zone adjoining the feasible region is considered as good one, where infeasible solutions are relatively less ...
Akhtar Munir Khan +6 more
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Logical Consequence Operators and Etatism
Studia Humana, 2020 In the paper, there is presented the theory of logical consequence operators indexed with taboo functions. It describes the mechanisms of logical inference in the environment of forbidden sentences.
Krysztofiak Wojciech
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EVALUATION OF PENALTY FUNCTIONS FOR SEMI-GLOBAL MATCHING COST AGGREGATION [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2012 The stereo matching method semi-global matching (SGM) relies on consistency constraints during the cost aggregation which are enforced by so-called penalty terms. This paper proposes new and evaluates four penalty functions for SGM.
C. Banz, P. Pirsch, H. Blume
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Abnormality in the Theory of Necessary Optimality Conditions
Известия Иркутского государственного университета: Серия "Математика", 2017 The problems of existence, non-uniqueness, abnormality of solutions arising from the using of necessary optimality conditions are discussed in terms of the extension principle and sufficient optimality conditions. Simple examples are used.
V.I. Gurman, M.M. Khrustalev
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