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  "title": "Repro - On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothne",
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        "title": "Claim 1: Normalizing updates of DCSGD emerges as a natural condition for stability determ",
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        "title": "Claim 2: DSignSGD converges under heavy-tailed noise with standard learning rate schedule",
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