Methods › General › Optimization › ADMM
Alternating Direction Method of Multipliers
ADMM
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
The alternating direction method of multipliers (ADMM) is an algorithm that solves convex optimization problems by breaking them into smaller pieces, each of which are then easier to handle. It takes the form of a decomposition-coordination procedure, in which the solutions to small local subproblems are coordinated to find a solution to a large global problem. ADMM can be viewed as an attempt to blend the benefits of dual decomposition and augmented Lagrangian methods for constrained optimization. It turns out to be equivalent or closely related to many other algorithms as well, such as Douglas-Rachford splitting from numerical analysis, Spingarn’s method of partial inverses, Dykstra’s alternating projections method, Bregman iterative algorithms for l1 problems in signal processing, proximal methods, and many others.
Text Source: https://stanford.edu/~boyd/papers/pdf/admm_distr_stats.pdf
Image Source: here
Papers archive 2025-07-28
30 shown of 398, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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Federated ADMM from Bayesian Duality 16 Jun 2025 · 1 repository · arXiv:2506.13150Syntology ran 1 of 2 samples · 1 unverified · 2 pointer-only (licence)
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Efficient Learning of Balanced Signed Graphs via Sparse Linear Programming 2 Jun 2025 · 0 repositories · arXiv:2506.01826
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Proximal Algorithm Unrolling: Flexible and Efficient Reconstruction Networks for Single-Pixel Imaging 29 May 2025 · 1 repository · arXiv:2505.23180Syntology ran 6 of 9 samples · 3 unverified
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Linear Convergence of Plug-and-Play Algorithms with Kernel Denoisers 21 May 2025 · 1 repository · arXiv:2505.15318
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Optimization Problem Solving Can Transition to Evolutionary Agentic Workflows 7 May 2025 · 0 repositories · arXiv:2505.04354
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Enhancing Variable Selection in Large-scale Logistic Regression: Leveraging Manual Labeling with Beneficial Noise 23 Apr 2025 · 0 repositories · arXiv:2504.16585
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Residual-Evasive Attacks on ADMM in Distributed Optimization 22 Apr 2025 · 0 repositories · arXiv:2504.18570
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Low-Complexity SDP-ADMM for Physical-Layer Multicasting in Massive MIMO Systems 8 Apr 2025 · 0 repositories · arXiv:2504.06090
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Plug and Play Distributed Control of Clustered Energy Hub Networks 8 Apr 2025 · 0 repositories · arXiv:2504.06179
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Distributed Mixed-Integer Quadratic Programming for Mixed-Traffic Intersection Control 6 Apr 2025 · 0 repositories · arXiv:2504.04618
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Sparsity-Promoting Reachability Analysis and Optimization of Constrained Zonotopes 4 Apr 2025 · 1 repository · arXiv:2504.03885
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Modular Distributed Nonconvex Learning with Error Feedback 18 Mar 2025 · 0 repositories · arXiv:2503.14055
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Federated Smoothing ADMM for Localization 12 Mar 2025 · 0 repositories · arXiv:2503.09497
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Efficient Distributed Learning over Decentralized Networks with Convoluted Support Vector Machine 10 Mar 2025 · 0 repositories · arXiv:2503.07563
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An Adaptive Multiparameter Penalty Selection Method for Multiconstraint and Multiblock ADMM 28 Feb 2025 · 0 repositories · arXiv:2502.21202
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Distributed Primal-Dual Algorithms: Unification, Connections, and Insights 1 Feb 2025 · 0 repositories · arXiv:2502.00470
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Connecting Federated ADMM to Bayes 28 Jan 2025 · 0 repositories · arXiv:2501.17325
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Three-Dimensional Diffusion-Weighted Multi-Slab MRI With Slice Profile Compensation Using Deep Energy Model 28 Jan 2025 · 0 repositories · arXiv:2501.17152
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Asynchronous distributed collision avoidance with intention consensus for inland autonomous ships 27 Jan 2025 · 0 repositories · arXiv:2501.15899
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Radio Map Estimation via Latent Domain Plug-and-Play Denoising 23 Jan 2025 · 1 repository · arXiv:2501.13472
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A Plug-and-Play Bregman ADMM Module for Inferring Event Branches in Temporal Point Processes 8 Jan 2025 · 1 repository · arXiv:2501.04529
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Constrained and Regularized Quantitative Ultrasound Parameter Estimation using ADMM 7 Jan 2025 · 0 repositories · arXiv:2501.04109
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SLoG-Net: Algorithm Unrolling for Source Localization on Graphs 31 Dec 2024 · 0 repositories · arXiv:2501.00442
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Iterative Reweighted Framework Based Algorithms for Sparse Linear Regression with Generalized Elastic Net Penalty 22 Nov 2024 · 0 repositories · arXiv:2411.14875
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Decoupling Training-Free Guided Diffusion by ADMM 18 Nov 2024 · 0 repositories · arXiv:2411.12773
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ADMM for Structured Fractional Minimization 12 Nov 2024 · 0 repositories · arXiv:2411.07496
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Online Parallel Multi-Task Relationship Learning via Alternating Direction Method of Multipliers 9 Nov 2024 · 1 repository · arXiv:2411.06135
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Deep Multi-contrast Cardiac MRI Reconstruction via vSHARP with Auxiliary Refinement Network 2 Nov 2024 · 0 repositories · arXiv:2411.01291
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Distributed ADMM Approach for the Power Distribution Network Reconfiguration 6 Oct 2024 · 0 repositories · arXiv:2410.04604
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An Analysis of Market-to-Market Coordination 2 Oct 2024 · 0 repositories · arXiv:2410.01986
Tasks archive 2025-07-28
20 shown of 180 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
Usage over time archive 2025-07-28
Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).
Categories archive 2025-07-28
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