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Research PaperResearchia:202602.03130

Do We Need Asynchronous SGD? On the Near-Optimality of Synchronous Methods

Grigory Begunov

Abstract

Modern distributed optimization methods mostly rely on traditional synchronous approaches, despite substantial recent progress in asynchronous optimization. We revisit Synchronous SGD and its robust variant, called $m$-Synchronous SGD, and theoretically show that they are nearly optimal in many heterogeneous computation scenarios, which is somewhat unexpected. We analyze the synchronous methods under random computation times and adversarial partial participation of workers, and prove that their ...

Submitted: February 3, 2026Subjects: Mathematics; Mathematics

Description / Details

Modern distributed optimization methods mostly rely on traditional synchronous approaches, despite substantial recent progress in asynchronous optimization. We revisit Synchronous SGD and its robust variant, called mm-Synchronous SGD, and theoretically show that they are nearly optimal in many heterogeneous computation scenarios, which is somewhat unexpected. We analyze the synchronous methods under random computation times and adversarial partial participation of workers, and prove that their time complexities are optimal in many practical regimes, up to logarithmic factors. While synchronous methods are not universal solutions and there exist tasks where asynchronous methods may be necessary, we show that they are sufficient for many modern heterogeneous computation scenarios.


Source: arXiv:2602.03802v1 - http://arxiv.org/abs/2602.03802v1 PDF: https://arxiv.org/pdf/2602.03802v1 Original Article: View on arXiv

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Date:
Feb 3, 2026
Topic:
Mathematics
Area:
Mathematics
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