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Sohmers: Matrix-vector multiplication in transformer inference is fundamentally uncacheable

Thomas Sohmers · ⚡️Accelerators @ 3x NVIDIA H200 perf, Made in the USA - Thomas Sohmers + Mitesh Agrawal, Positron AI · Aug 18, 2025 · at 13:33

Thomas Sohmers, co-founder of Positron AI, explains the fundamental memory architecture constraints of autoregressive transformer model inference.

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“So the second level of this is that matrix vector multiplication is basically uncacheable. When you're doing transformer inference, matrix A is the weights of your model. And so if you're talking about model weights that are tens of gigabytes, hundreds of gigabytes, now going into terabytes of memory, You're not going to be fitting that in any on-chip cache. And so even if you had perfect cache prediction, it just won't work.”

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