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Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations

• Authors : Zhaoyang Zhang; Qingwang Wang; Yinxing Zhang

Subjects: Kolmogorov-Arnold network; Science; Physics-informed neural networks

• Source: Sci RepScientific Reports, Vol 15, Iss 1, Pp 1-23 (2025)

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Using gradient of Lagrangian function to compute efficient channels for the ideal observer

• Authors : Zhou, Weimin

Subjects: Electrical Engineering and Systems Science - Signal Processing; Computer Science - Computer Vision and Pattern Recognition; Computer Science - Machine Learning

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A local saddle point for the hyperbolic augmented Lagrangian function

• Authors : Lennin Mallma Ramirez; Nelson Maculan; Adilson Elias Xavier

Subjects: Hyperbolic augmented Lagrangian; Nonconvex programming; Constrained optimization

• Source: Examples and Counterexamples, Vol 8, Iss , Pp 100195- (2025)

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Decentralized Optimization Over the Stiefel Manifold by an Approximate Augmented Lagrangian Function

• Authors : Wang, Lei; Liu, Xin

Subjects: Mathematics - Optimization and Control; Computer Science - Machine Learning; Electrical Engineering and Systems Science - Systems and Control

• Source: IEEE Transactions on Signal Processing, vol. 70, pp. 3029-3041, 2022

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Iteration-complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function

• Authors : Melo, Jefferson G.; Monteiro, Renato D. C.; Kong, Weiwei

Subjects: Mathematics - Optimization and Control; 47J22, 49M27, 90C25, 90C26, 90C30, 90C60, 65K10

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First-order methods for constrained convex programming based on linearized augmented Lagrangian function

• Authors : Xu, Yangyang

Subjects: Mathematics - Optimization and Control; Computer Science - Data Structures and Algorithms

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Distributed Nonsmooth Optimization with Coupled Inequality Constraints via Modified Lagrangian Function

• Authors : Liang, Shu; Zeng, Xianlin; Hong, Yiguang

Subjects: Mathematics - Optimization and Control

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On the exact discrete Lagrangian function for variational integrators: theory and applications

• Authors : Marrero, J. C.; de Diego, D. Martín; Martínez, E.

Subjects: Mathematics - Differential Geometry; Mathematical Physics; Mathematics - Numerical Analysis

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Augmented Lagrangian function with backtracking

• Authors : Vu, Bang; Papadimitriou, Dimitri;

Subjects: Backtracking; Lagrangian function; nonlinear constrainedVilleurbanne - Lyon; France

• Source: 23ème congrès annuel de la Société Française de Recherche Opérationnelle et d'Aide à la Décisionhttps://hal.archives-ouvertes.fr/hal-0359617323ème congrès annuel de la Société

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Solving Multiobjective Optimization Problems with Inequality Constraint Using An Augmented Lagrangian Function

• Authors : Tougma, Appolinaire; Somé, Kounhinir

Subjects: Multiobjective optimization; Penalty function; Augmented Lagrangian

• Source: Statistics, Optimization & Information Computing; Vol 12 No 5 (2024); 1364-1381 ; 2310-5070 ; 2311-004X

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