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- W4367694562 abstract "We propose a novel distributed method called SAB-TV that employs gradient tracking for minimizing the sum of smooth and strongly-convex local cost functions of networked agents communicating over a time-varying directed graph. Assuming access to a stochastic first-order oracle (SFO), each agent uses an auxiliary variable to asymptotically track the gradient of the global cost in expectation. The SAB-TV algorithm utilizes row- and column-stochastic weights to ensure both consensus and optimality, and can be applied to arbitrary, strongly-connected directed, and time-varying communication graphs. We show that, with a sufficiently small constant step-size, SAB-TV converges linearly (in expected mean-square sense) to a neighborhood of the global minimizer. To illustrate the theoretical results, we have conducted numerical simulations based on real-world datasets." @default.
- W4367694562 created "2023-05-03" @default.
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- W4367694562 date "2023-04-30" @default.
- W4367694562 modified "2023-09-30" @default.
- W4367694562 title "Distributed Stochastic Optimization with Gradient Tracking over Time-Varying Directed Networks" @default.
- W4367694562 doi "https://doi.org/10.48550/arxiv.2305.00629" @default.
- W4367694562 hasPublicationYear "2023" @default.
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