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Beyond the Trial-and-Error Loop: Hybrid Projection and Automated Tuning for Distributed Training
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Presents Primus Projection, a hybrid benchmark-plus-analytical projection engine for distributed LLM training throughput and memory, and a Primus Tuning Agent that uses it as a scoring oracle with an LLM search loop to find configurations.
Problem
Configuring distributed LLM training across hundreds of GPUs requires searching a huge joint space of parallelism, micro-batch, recomputation, sharding, and overlap settings, and trial-and-error on multi-node clusters wastes GPU-hours on OOMs and suboptimal recipes.
Approach
Benchmark compute kernels on as few as one GPU, downscale-measure-upscale to analytically restore out-of-scope collectives, FSDP overlap, and pipeline schedule at multi-node scale; use this fast projection as an oracle for an LLM-driven cross-axis search with an analytic memory pre-filter.
Key results
- All projections stay within about 10% of measured multi-node throughput; 4.7% error on DeepSeek V3 671B at 1,024 GPUs and 1.9% on Qwen3-235B-A22B at 256 GPUs.
- On Mixtral 8x22B the Primus Tuning Agent finds a configuration delivering +27% measured throughput (4,402 vs 3,475 tok/s/GPU) over the AMD 4-node BF16 reference in under 30 minutes of single-node exploration.
- Rank preservation with Spearman rho 0.933 to 1.000 across three MoE models, with 0% selection regret; memory pre-filter rejected 7 of 30 trials before GPU use.
Surprising findings
- Analytical memory pre-filter predictions agreed with hardware: every configuration projected under cap ran, every one projected over cap OOMed.
- Calculon's errors on Llama-3.1-70B were in opposite directions across FP8 and BF16, inflating the precision gap to 2.9x versus 1.5x measured.
Limitations
- Validated only on AMD Instinct GPUs and ROCm; NVIDIA and TPU not empirically validated.
- Network contention is not modeled and could add error in some inter-node EP or sub-node benchmark settings.
- Reported search results show about 10% optimistic bias relative to measured throughput (workload-level calibration offset).
Experimental setup
Benchmarks: AMD ROCm Performance Results (Llama 3.1, Mixtral 8x22B) DeepSeek V3 671B 1024-GPU run Qwen3-235B-A22B 256-GPU run GPT-OSS-120B 64-GPU sweep
Metrics: projection error (%) tok/s/GPU Spearman rho Kendall tau selection regret Avg |Err|
Baselines: Calculon Galvatron-style DP search Claude Code agent AMD published 4-node BF16 reference Bayesian optimization (discussed)
Builds on: Calculon Galvatron ReAct DSPy Recursive Language Model
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