Research & Papers

Mixed-precision CA-SGD speeds up GPU training 6x with minimal accuracy loss

Researchers cut communication overhead in distributed SGD by 5–6x on A100 GPUs.

Deep Dive

Researchers from NERSC and Cornell have published a new mixed-precision variant of communication-avoiding stochastic gradient descent (CA-SGD) that dramatically reduces the communication bottleneck in distributed training of generalized linear models on GPU clusters. Their method, described in a recent arXiv preprint, replaces s consecutive AllReduce synchronization steps with a single AllReduce of an sb×sb Gram matrix. This amortizes communication overhead, but historically increased computation and bandwidth – a trade-off now mitigated by modern GPU matrix hardware and reduced-precision formats like BF16.

The team’s finite-precision analysis decomposes the local rounding error into nine independent precision choices, allowing the recipe to transfer across GPU generations. On NERSC Perlmutter A100 GPUs, mixed-precision CA-SGD matched FP32 SGD loss within 0.5% on logistic, linear, and Poisson problems. Performance gains reached 5.1–6.8× speedup over standard FP32 SGD on datasets including epsilon, SUSY, HIGGS, and synthetic Poisson benchmarks. The software is open-sourced, and the approach is particularly impactful for large-scale regression and classification tasks where communication dominates training time.

Key Points
  • Replaces s AllReduces with one Gram matrix AllReduce, cutting synchronization points by up to 6× per outer iteration.
  • Uses BF16 for input storage and Gram GEMM, while communicating in high precision and accumulating in high precision.
  • Achieves 5.1–6.8× speedup over FP32 SGD on A100s with less than 0.5% loss in accuracy across multiple GLM tasks.

Why It Matters

Faster distributed training of linear models reduces cloud GPU costs and enables larger-scale ML experiments.

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