Relevant bibliographies by topics / Alternating direction methods of multipliers

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Alternating direction methods of multipliers'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Alternating direction methods of multipliers"

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Suzuki, Taiji. "STOCHASTIC ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR STRUCTURED REGULARIZATION." Journal of the Japanese Society of Computational Statistics 28, no. 1 (2015): 105–24. http://dx.doi.org/10.5183/jjscs.1502004_218.

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Hager, William W., and Hongchao Zhang. "Inexact alternating direction methods of multipliers for separable convex optimization." Computational Optimization and Applications 73, no. 1 (2019): 201–35. http://dx.doi.org/10.1007/s10589-019-00072-2.

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Ma, Shiqian, Lingzhou Xue, and Hui Zou. "Alternating Direction Methods for Latent Variable Gaussian Graphical Model Selection." Neural Computation 25, no. 8 (2013): 2172–98. http://dx.doi.org/10.1162/neco_a_00379.

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Chandrasekaran, Parrilo, and Willsky ( 2012 ) proposed a convex optimization problem for graphical model selection in the presence of unobserved variables. This convex optimization problem aims to estimate an inverse covariance matrix that can be decomposed into a sparse matrix minus a low-rank matrix from sample data. Solving this convex optimization problem is very challenging, especially for large problems. In this letter, we propose two alternating direction methods for solving this problem. The first method is to apply the classic alternating direction method of multipliers to solve the p
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Yu, Siting, Jingjing Peng, Zengao Tang, and Zhenyun Peng. "Iterative methods to solve the constrained Sylvester equation." AIMS Mathematics 8, no. 9 (2023): 21531–53. http://dx.doi.org/10.3934/math.20231097.

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<abstract><p>In this paper, the multiple constraint least squares solution of the Sylvester equation $ AX+XB = C $ is discussed. The necessary and sufficient conditions for the existence of solutions to the considered matrix equation are given. Noting that the alternating direction method of multipliers (ADMM) is a one-step iterative method, a multi-step alternating direction method of multipliers (MSADMM) to solve the considered matrix equation is proposed and some convergence results of the proposed algorithm are proved. Problems that should be studied in the near future are list
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Li, Min, Li-Zhi Liao, and Xiaoming Yuan. "Inexact Alternating Direction Methods of Multipliers with Logarithmic–Quadratic Proximal Regularization." Journal of Optimization Theory and Applications 159, no. 2 (2013): 412–36. http://dx.doi.org/10.1007/s10957-013-0334-4.

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Huang, Chunlin, and Dongbo Bu. "Predicting human contacts through alternating direction method of multipliers." International Journal of Modern Physics C 30, no. 07 (2019): 1940014. http://dx.doi.org/10.1142/s012918311940014x.

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Transmission of respiratory infectious diseases depends greatly on human close-proximity contacts, making thorough understanding of current and upcoming contacts essential for epidemic containment. Although different devices and software have been developed for contact data collection, there are few effective methods for contact prediction available in the near future as far as the authors know. In this study, we propose an approach to predict human contacts. We first extract human features together with their significances from the human contacts through alternating direction method of multip
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Abeynanda, Hansi K., and G. H. J. Lanel. "A Study on Distributed Optimization over Large-Scale Networked Systems." Journal of Mathematics 2021 (April 29, 2021): 1–19. http://dx.doi.org/10.1155/2021/5540262.

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Distributed optimization is a very important concept with applications in control theory and many related fields, as it is high fault-tolerant and extremely scalable compared with centralized optimization. Centralized solution methods are not suitable for many application domains that consist of large number of networked systems. In general, these large-scale networked systems cooperatively find an optimal solution to a common global objective during the optimization process. Thus, it gives us an opportunity to analyze distributed optimization techniques that is demanded in most distributed op
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Chao, Miantao, Caozong Cheng, and Haibin Zhang. "A Linearized Alternating Direction Method of Multipliers with Substitution Procedure." Asia-Pacific Journal of Operational Research 32, no. 03 (2015): 1550011. http://dx.doi.org/10.1142/s0217595915500116.

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We consider the linearly constrained separable convex programming problem whose objective function is separable into m individual convex functions with non-overlapping variables. The alternating direction method of multipliers (ADMM) has been well studied in the literature for the special case m = 2, but the direct extension of ADMM for the general case m ≥ 2 is not necessarily convergent. In this paper, we propose a new linearized ADMM-based contraction type algorithms for the general case m ≥ 2. For the proposed algorithm, we prove its convergence via the analytic framework of contractive ty
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Wang, Si, Ting-Zhu Huang, Xi-le Zhao, and Jun Liu. "An Alternating Direction Method for Mixed Gaussian Plus Impulse Noise Removal." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/850360.

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A combined total variation and high-order total variation model is proposed to restore blurred images corrupted by impulse noise or mixed Gaussian plus impulse noise. We attack the proposed scheme with an alternating direction method of multipliers (ADMM). Numerical experiments demonstrate the efficiency of the proposed method and the performance of the proposed method is competitive with the existing state-of-the-art methods.
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Liu, Yang, and Yazheng Dang. "Convergence Analysis of Multiblock Inertial ADMM for Nonconvex Consensus Problem." Journal of Mathematics 2023 (March 28, 2023): 1–12. http://dx.doi.org/10.1155/2023/4316267.

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The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving various nonconvex consensus problem. The convergence of the conventional ADMM (i.e., 2-block) for convex objective functions has been stated for a long time. As an accelerated technique, the inertial effect was used by many authors to solve 2-block convex optimization problem. This paper combines the ADMM and the inertial effect to construct an inertial alternating direction method of multipliers (IADMM) to solve the multiblock nonconvex consensus problem and shows the converge
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Dissertations / Theses on the topic "Alternating direction methods of multipliers"

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Selvatici, Elena. "Variational formulation for Granular Contact Dynamics simulation via the Alternating Direction Method of Multipliers." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021.

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The subject of this thesis is the development of a calculation software for the numerical analysis and the dynamic simulation of a granular flow. One of the major problems encountered in the dynamic analysis of the mechanical behaviour of a granular medium is the enormous computational time taken to reach the solution of the problem. Following studies that have verified the effectiveness of the implicit formulation proposed by the Granular Contact Dynamics approach, the idea of this thesis arises from the desire to apply the Alternating Direction Method of Multipliers for the optimization
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Gu, Yan. "STUDIES ON ALTERNATING DIRECTION METHOD OF MULTIPLIERS WITH ADAPTIVE PROXIMAL TERMS FOR CONVEX OPTIMIZATION PROBLEMS." Kyoto University, 2020. http://hdl.handle.net/2433/259758.

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Fécamp, Vivien. "Recalage/Fusion d'images multimodales à l'aide de graphes d'ordres supérieurs." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLC005/document.

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L’objectif principal de cette thèse est l’exploration du recalage d’images à l’aide de champs aléatoires de Markov d’ordres supérieurs, et plus spécifiquement d’intégrer la connaissance de transformations globales comme une transformation rigide, dans la structure du graphe. Notre cadre principal s’applique au recalage 2D-2D ou 3D-3D et utilise une approche hiérarchique d’un modèle de champ de Markov dont le graphe est une grille régulière. Les variables cachées sont les vecteurs de déplacements des points de contrôle de la grille.Tout d’abord nous expliciterons la construction du graphe qui p
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Tang, Shuhan. "Spectral Analysis Using Multitaper Whittle Methods with a Lasso Penalty." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586863604571678.

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Al, Sarray Basad. "Estimation et choix de modèle pour les séries temporelles par optimisation convexe." Besançon, 2016. http://www.theses.fr/2016BESA2084.

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Les séries temporelles sont définies comme une séquence ordonnée d’observation à travers le temps. La structure des séries temporelles est représentée par la somme des composantes indépendantes. Généralement, ces composantes sont estimées indépendamment les unes des autres chaque composant fait partie d’une catégorie particulière. Les modèles Auto régressifs et Moyenne Mobile sont utilisées pour la modélisation des séries chronologiques il y a un grand nombre d’applications telle que le traitement du signal, la finance, l’imagerie médicale le radar, et la communication. […] Cette étude présent
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Ojha, Abhi. "Coupled Natural Gas and Electric Power Systems." Thesis, Virginia Tech, 2017. http://hdl.handle.net/10919/78666.

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Decreasing gas prices and the pressing need for fast-responding electric power generators are currently transforming natural gas networks. The intermittent operation of gas-fired plants to balance wind generation introduces spatiotemporal fluctuations of increasing gas demand. At the heart of modeling, monitoring, and control of gas networks is a set of nonlinear equations relating nodal gas injections and pressures to flows over pipelines. Given gas demands at all points of the network, the gas flow task aims at finding the rest of the physical quantities. For a tree network, the problem enjo
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Velay, Maxime. "Méthodes d’optimisation distribuée pour l’exploitation sécurisée des réseaux électriques interconnectés." Thesis, Université Grenoble Alpes (ComUE), 2018. http://www.theses.fr/2018GREAT063/document.

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Notre société étant plus dépendante que jamais au vecteur électrique, la moindre perturbation du transport ou de l’acheminement de l’électricité a un impact social et économique important. La fiabilité et la sécurité des réseaux électriques sont donc cruciales pour les gestionnaires de réseaux, en plus des aspects économiques. De plus, les réseaux de transport sont interconnectés pour réduire les coûts des opérations et pour améliorer la sécurité. Un des plus grand défis des gestionnaires des réseaux de transport est ainsi de se coordonner avec les réseaux voisins, ce qui soulève des problèmes
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Guiducci, Martina. "Metodo delle Direzioni Alternate per la ricostruzione di immagini Poissoniane." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19501/.

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Il problema della ricostruzione di immagini si propone di eliminare dall'immagine acquisita il blur e ridurre il rumore per ottenerne una che sia simile il più possibile all'oggetto esatto. In termini matematici tale ricostruzione si traduce nella minimizzazione di una funzione obiettivo formata da due termini: la divergenza di Kullback-Leibler, che rappresenta la distanza tra l'immagine acquisita e l'immagine ricostruita, e un termine di regolarizzazione in norma L_1, che esprime delle informazioni aggiuntive sulla soluzione. Tuttavia la divergenza di Kullback-Leibler coinvolge un logaritmo;
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Recupero, Giuseppe Antonio. "Un modello variazionale non convesso per il denoising di superfici." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23210/.

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La scannerizzazione 3D di un oggetto produce una mesh triangolata soggetta a rumore. Il processo di denoising ha l’obiettivo di rimuovere il rumore e ricostruire la superficie originale, mantenendone i dettagli come spigoli, angoli o creste. Presentiamo un nuovo modello variazionale non convesso per il denoising di superfici. La funzione costo, dipendente dai vertici, è formata da un termine di fedeltà in norma L2 e da un termine di penalità definito tramite una versione riscalata e riparametrizzata della funzione Minimax Concave Penalty (MCP). Il problema di minimizzazione è risolto usando
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Scrivanti, Gabriele Luca Giovanni. "Nonsmooth Nonconvex Variational Reconstruction for Electrical Impedance Tomography." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20700/.

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Electrical Impedance Tomography is an imaging technique that aims to reconstruct the inner conductivity distribution of a medium starting from a set of measured voltages registered by a series of electrodes that are positioned on the surface of the medium. Such technique was used for the first time in geological studies in 1930 and then applied to industrial procedures. The first clinical use of EIT dates back to 1987. In 2018 EIT was validated in tissue engineering as a noninvasive and label-free imaging and monitoring tool for cell distribution (cell growth, differentiation and tissue forma
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Books on the topic "Alternating direction methods of multipliers"

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Lin, Zhouchen, Huan Li, and Cong Fang. Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8.

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United States. National Aeronautics and Space Administration., ed. Multi-partitioning for ADI-schemes on message passing architectures. MCAT Institute, 1994.

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United States. National Aeronautics and Space Administration., ed. Multi-partitioning for ADI-schemes on message passing architectures. MCAT Institute, 1994.

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United States. National Aeronautics and Space Administration., ed. Multi-partitioning for ADI-schemes on message passing architectures. MCAT Institute, 1994.

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Baysal, Oktay. Efficient gradient-based shape optimization methodology using inviscid/viscous CFD: Summary of research report for the period of March 9, 1995 to March 8, 1997, grant# NCC-1-211. Dept. of Aerospace Engineering, College of Engineering and Technology, Old Dominion University, 1997.

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United States. National Aeronautics and Space Administration., ed. Efficient gradient-based shape optimization methodology using inviscid/viscous CFD: Summary of research report for the period of March 9, 1995 to March 8, 1997, grant# NCC-1-211. Dept. of Aerospace Engineering, College of Engineering and Technology, Old Dominion University, 1997.

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United States. National Aeronautics and Space Administration., ed. Efficient gradient-based shape optimization methodology using inviscid/viscous CFD: Summary of research report for the period of March 9, 1995 to March 8, 1997, grant# NCC-1-211. Dept. of Aerospace Engineering, College of Engineering and Technology, Old Dominion University, 1997.

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D, Salas M., and Langley Research Center, eds. Three-dimensional simulation of vortex breakdown. National Aeronautics and Space Administration, Langley Research Center, 1990.

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D, Salas M., and Langley Research Center, eds. Three-dimensional simulation of vortex breakdown. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Kuruvila, G. Three-dimensional simulation of vortex breakdown. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Book chapters on the topic "Alternating direction methods of multipliers"

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Glowinski, Roland. "On Alternating Direction Methods of Multipliers: A Historical Perspective." In Computational Methods in Applied Sciences. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9054-3_4.

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Yan, Ming, and Wotao Yin. "Self Equivalence of the Alternating Direction Method of Multipliers." In Splitting Methods in Communication, Imaging, Science, and Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41589-5_5.

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Lin, Zhouchen, Huan Li, and Cong Fang. "Derivations of ADMM." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_2.

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Lin, Zhouchen, Huan Li, and Cong Fang. "ADMM for Nonconvex Optimization." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_4.

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Lin, Zhouchen, Huan Li, and Cong Fang. "ADMM for Distributed Optimization." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_6.

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Lin, Zhouchen, Huan Li, and Cong Fang. "ADMM for Deterministic and Convex Optimization." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_3.

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Lin, Zhouchen, Huan Li, and Cong Fang. "Introduction." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_1.

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Lin, Zhouchen, Huan Li, and Cong Fang. "Practical Issues and Conclusions." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_7.

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Lin, Zhouchen, Huan Li, and Cong Fang. "Stochastic ADMM." In Alternating Direction Method of Multipliers for Machine Learning. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9840-8_5.

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Khakhutskyy, Valeriy, and Dirk Pflüger. "Alternating Direction Method of Multipliers for Hierarchical Basis Approximators." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04537-5_9.

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Conference papers on the topic "Alternating direction methods of multipliers"

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Kadkhodaie, Mojtaba, Konstantina Christakopoulou, Maziar Sanjabi, and Arindam Banerjee. "Accelerated Alternating Direction Method of Multipliers." In KDD '15: The 21th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. ACM, 2015. http://dx.doi.org/10.1145/2783258.2783400.

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Routray, Chinmay, and Soumya Ranjan Sahoo. "Emulation Alternating Direction Method of Multipliers." In 2022 Eighth Indian Control Conference (ICC). IEEE, 2022. http://dx.doi.org/10.1109/icc56513.2022.10093531.

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Zhang, Guoqiang, and Richard Heusdens. "Bi-alternating direction method of multipliers." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638272.

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Wei, Ermin, and Asuman Ozdaglar. "Distributed Alternating Direction Method of Multipliers." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6425904.

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Ling, Qing, and Alejandro Ribeiro. "Decentralized linearized alternating direction method of multipliers." In ICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2014. http://dx.doi.org/10.1109/icassp.2014.6854644.

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Routray, Chinmay, and Soumya Ranjan Sahoo. "Decentralizing Consensus-Alternating Direction Method of Multipliers." In 2023 European Control Conference (ECC). IEEE, 2023. http://dx.doi.org/10.23919/ecc57647.2023.10178331.

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Mokhtari, Aryan, Wei Shi, Qing Ling, and Alejandro Ribeiro. "Decentralized quadratically approximated alternating direction method of multipliers." In 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP). IEEE, 2015. http://dx.doi.org/10.1109/globalsip.2015.7418306.

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Makhdoumi, Ali, and Asuman Ozdaglar. "Broadcast-based distributed alternating direction method of multipliers." In 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2014. http://dx.doi.org/10.1109/allerton.2014.7028466.

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Zhang, Guoqiang, and Richard Heusdens. "Bi-alternating direction method of multipliers over graphs." In ICASSP 2015 - 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2015. http://dx.doi.org/10.1109/icassp.2015.7178636.

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Cerone, V., S. M. Fosson, S. Pirrera, and D. Regruto. "Alternating direction method of multipliers for polynomial optimization." In 2023 European Control Conference (ECC). IEEE, 2023. http://dx.doi.org/10.23919/ecc57647.2023.10178190.

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Reports on the topic "Alternating direction methods of multipliers"

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Ouyang, Yuyuan, Yumei Chen, Guanghui Lan, Jr Pasiliao, and Eduardo. An Accelerated Linearized Alternating Direction Method of Multipliers. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada595588.

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Yan, Ming, and Wotao Yin. Self Equivalence of the Alternating Direction Method of Multipliers. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada610274.

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Deng, Wei, and Wotao Yin. On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada567407.

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Johnsson, S. L., Youcef Saad, and Martin H. Schultz. Alternating Direction Methods on Multiprocessors. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada161973.

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Lambert, Michael Allen. Field simulation of axisymmetric plasma screw pinches by alternating-direction-implicit methods. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/410408.

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