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Quantized Primal-Dual Algorithms for Network Optimization With Linear Convergence

delete2024-01-01
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OA
AI
Z
Ziqin Chen
梁枢 cover
梁枢 (Shu Liang) *
李莉 (Li Li)
S
Shuming Cheng
DOI:10.1109/TAC.2023.3266018delete
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Abstract

Abstract

En 中文
This note investigates a network optimization problem in which a group of agents cooperate to minimize a global function under the practical constraint of finite-bandwidth communication. We propose an adaptive encoding-decoding scheme to handle the quantization communication between agents. Based on this scheme, we develop a continuous-time quantized distributed primal-dual algorithm for the network optimization problem. Our algorithm achieves linear convergence to an exact optimal solution. Furthermore, we obtain the relationship between the communication bandwidth and the convergence rate. Finally, we use a distributed logistic regression problem to illustrate the effectiveness of our methods.
Keywords:
Convergence
Quantization (signal)
Bandwidth
Artificial neural networks
Estimation
Convex functions
Prediction algorithms
Distributed convex optimization
linear convergence rate
primal-dual algorithm
quantized communication

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

T
tongji university
Scholars:
7.7W
Papers: 5.9W
Citations: 98