A unified compression algorithm for distributed nonconvex optimization achieves O(1/sqrt(T)) convergence for locally-bounded compressors, matching centralized 1-bit methods, with an improved O(1/T^{2/3}) rate after one uncompressed round.
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Unified Compression Algorithm for Distributed Nonconvex Optimization: Generalized to 1-Bit, Saturation, and Bounded Noise
A unified compression algorithm for distributed nonconvex optimization achieves O(1/sqrt(T)) convergence for locally-bounded compressors, matching centralized 1-bit methods, with an improved O(1/T^{2/3}) rate after one uncompressed round.