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- W4383046822 abstract "In this paper, we establish new convergence results for the quantized distributed gradient descent and suggest a novel strategy of choosing the stepsizes for the high-performance of the algorithm. Under the strongly convexity assumption on the aggregate cost function and the smoothness assumption on each local cost function, we prove the algorithm converges exponentially fast to a small neighborhood of the optimizer whose radius depends on the stepsizes. Based on our convergence result, we suggest an effective selection of stepsizes which repeats diminishing the stepsizes after a number of specific iterations. Both the convergence results and the effectiveness of the suggested stepsize selection are also verified by the numerical experiments." @default.
- W4383046822 created "2023-07-04" @default.
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- W4383046822 date "2023-06-30" @default.
- W4383046822 modified "2023-09-26" @default.
- W4383046822 title "Convergence property of the Quantized Distributed Gradient descent with constant stepsizes and an effective strategy for the stepsize selection" @default.
- W4383046822 doi "https://doi.org/10.48550/arxiv.2306.17481" @default.
- W4383046822 hasPublicationYear "2023" @default.
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