LGMLJun 1, 2025

Enhancing Parallelism in Decentralized Stochastic Convex Optimization

arXiv:2506.00961v11 citationsh-index: 27ICML
Originality Highly original
AI Analysis

This addresses scalability issues for large-scale distributed machine learning systems, representing a strong specific gain rather than a broad paradigm shift.

The paper tackles the problem of scalability limitations in decentralized learning by proposing Decentralized Anytime SGD, which extends the parallelism threshold to allow more machines without performance loss, achieving a theoretical upper bound that surpasses current state-of-the-art in stochastic convex optimization.

Decentralized learning has emerged as a powerful approach for handling large datasets across multiple machines in a communication-efficient manner. However, such methods often face scalability limitations, as increasing the number of machines beyond a certain point negatively impacts convergence rates. In this work, we propose Decentralized Anytime SGD, a novel decentralized learning algorithm that significantly extends the critical parallelism threshold, enabling the effective use of more machines without compromising performance. Within the stochastic convex optimization (SCO) framework, we establish a theoretical upper bound on parallelism that surpasses the current state-of-the-art, allowing larger networks to achieve favorable statistical guarantees and closing the gap with centralized learning in highly connected topologies.

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