A decentralized Sinkhorn algorithm approximates Wasserstein barycenters using local gossip protocols, event-triggered transmissions, and b-bit quantization, with proven convergence to a neighborhood of the centralized entropic solution under mild assumptions.
Convolutional wasserstein distances: Efficient optimal transportation on geometric domains.ACM Transactions on Graphics, 34(4):66:1– 66:11
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Geometry-Aware Decentralized Sinkhorn for Wasserstein Barycenters
A decentralized Sinkhorn algorithm approximates Wasserstein barycenters using local gossip protocols, event-triggered transmissions, and b-bit quantization, with proven convergence to a neighborhood of the centralized entropic solution under mild assumptions.