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Distributed Heavy-Ball: A Generalization and Acceleration of First-Order Methods With Gradient Tracking

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Some methods of speeding up the convergence of iteration methods
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Discrete-time dynamic average consensus
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Average consensus on general strongly connected digraphs
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A distributed algorithm for average consensus on strongly connected weighted digraphs
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Lyapunov Functions: An Optimization Theory Perspective
inferredcites →https://doi.org/10.1016/j.ins.2017.09.038openalex-snapshot
Geometrical convergence rate for distributed optimization with time-varying directed graphs and uncoordinated step-sizes
inferredcites →https://doi.org/10.1080/00207179.2018.1535200openalex-snapshot
Tight bound on parameter of surplus-based averaging algorithm over balanced digraphs
inferredcites →https://doi.org/10.1109/acc.2016.7526803openalex-snapshot
Distributed optimization over weighted directed graphs using row stochastic matrix
inferredcites →https://doi.org/10.1109/cdc.2012.6426375openalex-snapshot
Push-Sum Distributed Dual Averaging for convex optimization
inferredcites →https://doi.org/10.1109/cdc.2015.7402509openalex-snapshot
Augmented distributed gradient methods for multi-agent optimization under uncoordinated constant stepsizes
inferredcites →https://doi.org/10.1109/cdc.2018.8619047openalex-snapshot
A Push-Pull Gradient Method for Distributed Optimization in Networks
inferredcites →https://doi.org/10.1109/cdc40024.2019.9029217openalex-snapshot
Distributed stochastic optimization with gradient tracking over strongly-connected networks
inferredcites →https://doi.org/10.1109/ecc.2015.7330562openalex-snapshot
Global convergence of the Heavy-ball method for convex optimization
inferredcites →https://doi.org/10.1109/lcsys.2018.2834316openalex-snapshot
A Linear Algorithm for Optimization Over Directed Graphs With Geometric Convergence
inferredcites →https://doi.org/10.1109/lsp.2019.2925537openalex-snapshot
Distributed Nesterov Gradient Methods Over Arbitrary Graphs
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Gossip-based computation of aggregate information
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Distributed Subgradient Methods for Multi-Agent Optimization
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Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling
inferredcites →https://doi.org/10.1109/tac.2014.2364096openalex-snapshot
Distributed Optimization Over Time-Varying Directed Graphs
inferredcites →https://doi.org/10.1109/tac.2016.2615066openalex-snapshot
Distributed Subgradient Projection Algorithm Over Directed Graphs
inferredcites →https://doi.org/10.1109/tac.2017.2737582openalex-snapshot
ADD-OPT: Accelerated Distributed Directed Optimization
inferredcites →https://doi.org/10.1109/tac.2018.2797164openalex-snapshot
Linear Convergence in Optimization Over Directed Graphs With Row-Stochastic Matrices
inferredcites →https://doi.org/10.1109/tac.2018.2849616openalex-snapshot
Distributed Projection Subgradient Algorithm Over Time-Varying General Unbalanced Directed Graphs
inferredcites →https://doi.org/10.1109/tac.2019.2937496openalex-snapshot
Accelerated Distributed Nesterov Gradient Descent
inferredcites →https://doi.org/10.1109/tcns.2017.2698261openalex-snapshot
Harnessing Smoothness to Accelerate Distributed Optimization
inferredcites →https://doi.org/10.1109/tsipn.2016.2524588openalex-snapshot
NEXT: In-Network Nonconvex Optimization
inferredcites →https://doi.org/10.1109/tsipn.2018.2846183openalex-snapshot
A Unification and Generalization of Exact Distributed First-Order Methods
inferredcites →https://doi.org/10.1109/tsp.2010.2055862openalex-snapshot
Distributed Sparse Linear Regression
inferredcites →https://doi.org/10.1137/130943170openalex-snapshot
On the Convergence of Decentralized Gradient Descent
inferredcites →https://doi.org/10.1137/14096668xopenalex-snapshot
EXTRA: An Exact First-Order Algorithm for Decentralized Consensus Optimization
inferredcites →https://doi.org/10.1137/15m1009597openalex-snapshot
Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints
inferredcites →https://doi.org/10.1137/15m1049695openalex-snapshot
On the Convergence Rate of Incremental Aggregated Gradient Algorithms
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Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs
inferredcites →https://doi.org/10.1145/984622.984626openalex-snapshot
Distributed optimization in sensor networks
inferredcites →https://doi.org/10.1186/s13634-018-0596-yopenalex-snapshot
FROST—Fast row-stochastic optimization with uncoordinated step-sizes
inferredcites →https://doi.org/10.23919/acc.2017.7963560openalex-snapshot
Geometrically convergent distributed optimization with uncoordinated step-sizes
inferredcites →https://doi.org/10.48550/arxiv.1806.00877openalex-snapshot
Multi-Agent Reinforcement Learning via Double Averaging Primal-Dual Optimization

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Primal-dual methods for large-scale and distributed convex optimization and data analytics
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An improved convergence guarantee for the gradient-push algorithm with a constant stepsize
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A General Framework for Decentralized Optimization With First-Order Methods
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Distributed Nash Equilibrium Learning for Average Aggregative Games: Harnessing Smoothness to Accelerate the Algorithm
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A Universal Decomposition for Distributed Optimization Algorithms
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Accelerated Alternating Direction Method of Multipliers Gradient Tracking for Distributed Optimization
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An Accelerated Distributed Proportional-Integral Method for Distributed Constrained Optimization
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Accelerated Distributed Allocation
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Decentralized Optimization Over Time-Varying Directed Graphs With Row and Column-Stochastic Matrices
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Table of Contents
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2020 Index IEEE Transactions on Automatic Control Vol. 65
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A Family of Distributed Momentum Methods Over Directed Graphs With Linear Convergence
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A Unifying Approximate Method of Multipliers for Distributed Composite Optimization
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Linear Convergence of ADMM Under Metric Subregularity for Distributed Optimization
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Distributed Gradient Tracking for Unbalanced Optimization With Different Constraint Sets
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The Gradient Tracking Is a Distributed Integral Action
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A Fast Row-Stochastic Decentralized Method for Distributed Optimization Over Directed Graphs
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A General Framework to Distribute Iterative Algorithms With Localized Information Over Networks
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DOT and DOP: Linearly Convergent Algorithms for Finding Fixed Points of Multiagent Operators
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Asymptotic Properties of $\mathcal {S}$-$\mathcal {AB}$ Method With Diminishing Step-Size
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Linearly Convergent Second-Order Distributed Optimization Algorithms
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Distributed Nash Equilibrium Seeking for Multiple Coalition Games by Coalition Estimate Strategies
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Distributed Momentum-Based Multiagent Optimization With Different Constraint Sets
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Locally Differentially Private Gradient Tracking for Distributed Online Learning Over Directed Graphs
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An Improved Distributed Nesterov Gradient Tracking Algorithm for Smooth Convex Optimization Over Directed Networks
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Multi/Single-Stage Sliding Manifold Approaches for Prescribed-Time Distributed Optimization
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Accelerated Distributed Aggregative Optimization
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Asynchronous Distributed Optimization With Delay-free Parameters
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Robust Neural Dynamics for Distributed Time-Varying Optimization With Application to Multi-Robot Systems
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Analysis and Design of First-Order Distributed Optimization Algorithms Over Time-Varying Graphs
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Neural-Network-Based Distributed Generalized Nash Equilibrium Seeking for Uncertain Nonlinear Multiagent Systems
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Accelerated $AB$/Push–Pull Methods for Distributed Optimization Over Time-Varying Directed Networks
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Distributed Algorithm Over Time-Varying Unbalanced Graphs for Optimization Problem Subject to Multiple Local Constraints
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A Modified Distributed Gradient Dynamics for Multiagent Optimization on Directed Networks
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Parallel Momentum Methods Under Biased Gradient Estimations
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Differentially Private Distributed Nash Equilibrium Seeking Over Time-Varying Digraphs
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Distributed Double Accelerated Algorithm for Differentially Private Optimization
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Distributed Conjugate-Gradient Tracking With Prescribed Performance for Multiagent Convex Optimization
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Distributed Nash Equilibrium Seeking for Aggregative Games With Directed Communication Graphs
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Accelerated Nash Equilibrium Seeking for Constrained Multi-Cluster Games With Time-Varying Communication
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Rapid Transitions With Robust Accelerated Delayed-Self-Reinforcement for Consensus-Based Networks
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Convergence Analysis of Distributed Gradient Descent Algorithms With One and Two Momentum Terms
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Distributed Discrete-Time Convex Optimization With Closed Convex Set Constraints: Linearly Convergent Algorithm Design
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Balancing Communication and Acceleration: Exact One-to-One Optimization for Distributed Multiagent Learning Systems
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Distributed Heavy-Ball Over Time-Varying Digraphs With Barzilai-Borwein Step Sizes
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Distributed Optimization Under Information Constraints: A Survey
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Distributed Nesterov Gradient and Heavy-Ball Double Accelerated Asynchronous Optimization
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Primal–Dual Fixed Point Algorithms Based on Adapted Metric for Distributed Optimization
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Topology-Optimal Multiple Gossip Steps for Decentralized Federated Learning via Gossip Tensor
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Differentially Private Accelerated Distributed Algorithm for Aggregative Optimization
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Achieving Acceleration for Distributed Economic Dispatch in Smart Grids Over Directed Networks
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ET-DASG: An Efficient Decentralized Algorithm for Convex Optimization Over Networks
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Output Feedback-Based Continuous-Time Distributed PID Optimization Algorithms
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Momentum-Based Distributed Economic Dispatch of Smart Grids in Time-Varying Directed Networks
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Distributed Online Constrained Convex Optimization With Compressed Communication
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Decentralized Federated Averaging
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Collaborative Active and Reactive Power Control of DERs for Voltage Regulation and Frequency Support by Distributed Event-Triggered Heavy Ball Method
inferred← citeshttps://doi.org/10.1109/tsg.2025.3548975openalex-snapshot
Implicit Enhanced Distributed Heavy-Ball Energy Management Strategy for Microgrids With Time-Varying Social Welfare and Delay
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A Computation-Efficient Decentralized Algorithm for Composite Constrained Optimization
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A Hessian Inversion-Free Exact Second Order Method for Distributed Consensus Optimization
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A Communication-Efficient Decentralized Newton's Method With Provably Faster Convergence
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Distributed Generalized Nash Equilibria Computation of Noncooperative Games Via Novel Primal-Dual Splitting Algorithms
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A Gradient Tracking Protocol for Optimization Over Nabla Fractional Multi-Agent Systems
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Distributed Proximal Alternating Direction Method of Multipliers for Constrained Composite Optimization Over Directed Networks
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A Fast Differentially Private Distributed Algorithm Over Unbalanced Directed Networks
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A Nesterov-Like Gradient Tracking Algorithm for Distributed Optimization Over Directed Networks
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Distributed Secure Estimation Against Sparse False Data Injection Attacks
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Achieving Linear Convergence in Distributed Aggregative Optimization Over Directed Graphs
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A Distributed Stochastic Unified Accelerated Algorithm for Convex Optimization Over Time-Varying Directed Networks
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Distributed Nonlinear Estimation Over Unbalanced Directed Networks
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Distributed Quasi-Newton Method for Multi-Agent Optimization
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Distributed Finite-Sum Constrained Optimization subject to Nonlinearity on the Node Dynamics
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Distributed Zeroth-order Optimization Over Directed Graphs
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Distributed Optimization Based on Gradient Tracking Revisited: Enhancing Convergence Rate via Surrogation
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Provably Accelerated Decentralized Gradient Methods Over Unbalanced Directed Graphs
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FROST—Fast row-stochastic optimization with uncoordinated step-sizes
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A distributed stochastic optimization algorithm with gradient-tracking and distributed heavy-ball acceleration
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A Canonical Form for First-Order Distributed Optimization Algorithms
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A Modified Gradient Flow for Distributed Convex Optimization on Directed Networks
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Distributed Conjugate Gradient Method via Conjugate Direction Tracking
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A Heavy-Ball Distributed Optimization Algorithm over Digraphs with Row-Stochastic Matrices
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An Accelerated Gossip-Based Distributed Gradient Method
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An Accelerated Distributed Online Gradient Push-Sum Algorithm in Time-varying Networks
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A Small Gain Approach to Distributed Convex Optimization via Heavy-Ball and Gradient Tracking
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Corrected Gradient Methods for Distributed optimization
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Distributed Convex Optimization on the Nonnegative Orthant
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Distributed and Data-Driven Optimization Frameworks for Logistics-Oriented Decision Support Under Partial and Asynchronous Information
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Distributed Constrained Optimization Algorithms for Drones
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A Multilayer Perceptron Feedforward Neural Network and Particle Swarm Optimization Algorithm for Optimizing Biogas Production
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A Distributed Optimization Accelerated Algorithm with Uncoordinated Time-Varying Step-Sizes in an Undirected Network
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Heavy-ball-based relaxed optimal s-thresholding algorithms for solving compressed sensing problem
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Decentralized Elastic-Net Broad Learning System over Directed Graphs
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Optimization over time-varying directed graphs with row and column-stochastic matrices
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An introduction to decentralized stochastic optimization with gradient tracking
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Robust Distributed Accelerated Stochastic Gradient Methods for Multi-Agent Networks
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Decentralized Stochastic Gradient Langevin Dynamics and Hamiltonian Monte Carlo
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A Survey of Distributed Optimization Methods for Multi-Robot Systems
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Provably Accelerated Decentralized Gradient Method Over Unbalanced Directed Graphs
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RelaySum for Decentralized Deep Learning on Heterogeneous Data
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