New Transformer Attention Optimizations Boost GPU Inference Efficiency.

Lenore Mulin, Gaetan Hains· July 23, 2026 View original

Summary

This paper introduces four memory-optimal inference artifacts for transformer attention, derived using Mathematics of Arrays (MoA), including a single-query decode DNF, a C/OpenACC GPU kernel, an efficient KV-cache, and optimized Grouped/Multi-Query Attention. These innovations significantly reduce DRAM traffic and improve computational efficiency for large language models.

This research presents significant advancements in optimizing transformer attention mechanisms for inference, particularly focusing on memory efficiency. By applying the Mathematics of Arrays (MoA), the authors derived four key artifacts. These include a single-query decode Denotational Normal Form (DNF) that algebraically eliminates the K-transpose buffer, drastically reducing Dynamic Random Access Memory (DRAM) traffic. Further innovations include a C/OpenACC GPU kernel designed for hardware-coalesced memory access, ensuring exact floating-point arithmetic. The paper also details a multi-step KV-cache with efficient per-step appending and optimized Grouped-Query Attention (GQA) and Multi-Query Attention (MQA) through psi-selection, which demonstrably reduces KV traffic. All derived programs have been rigorously verified against PyTorch's scaled_dot_product_attention.

Why it matters

For professionals developing and deploying large language models, these optimizations translate directly into lower inference costs, faster response times, and the ability to run larger models on existing hardware, improving scalability and accessibility.

How to implement this in your domain

  1. 1Evaluate the proposed MoA-structured optimizations for potential integration into your existing transformer inference pipelines.
  2. 2Investigate adopting OpenACC kernels for GPU acceleration to leverage hardware-coalesced memory access for attention computations.
  3. 3Implement or adapt the described KV-cache accumulation methods to reduce memory footprint and improve multi-step decoding performance.
  4. 4Explore the use of GQA/MQA derived via psi-selection to optimize KV traffic in your transformer architectures.

Who benefits

AI/ML DevelopmentCloud ComputingHigh-Performance ComputingTelecommunications

Key takeaways

  • MoA provides a rigorous framework for deriving memory-optimal transformer attention.
  • New DNF and GPU kernel designs significantly reduce DRAM traffic and improve precision.
  • Optimized KV-cache and GQA/MQA enhance inference efficiency and scalability.
  • These advancements are crucial for cost-effective and faster LLM deployments.

Original post by Lenore Mulin, Gaetan Hains

"arXiv:2607.19456v1 Announce Type: new Abstract: We derive four memory-optimal inference artifacts for transformer attention using the Mathematics of Arrays (MoA), each following directly from the forward-pass Denotational Normal Form (DNF) of with the query-row index fixed to the…"

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