cs.CC · 2026-07-30 · No. 69
Computational Complexity, 2026-07-30.
1 new papers in cs.CC. Titles, authors,
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01 — The papers
1 entries-
01
Field Codes for Distributed Coupling Samplers and Certified Empirical Transport
Hung Mai, Hai Nguyen, Luong Doan, Ngoc Vu, Khanh Nguyen, Nhung Duong, Tuan Do
cs.CC · cs.IT · cs.LG · math.OC
In this paper, we formulate three communication tasks for empirical optimal transport: distributed coupling sampling, cost-evaluable coupling output, and scalar value-certified sampling. Our main result is a field-code compiler: any communicated transport field approximating an optimal empirical Monge map to error $η$ can be completed by sparse target-cell residuals into an exact-marginal value-certified sampler with scalar certificate...
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