Standalone · Kernels

KV-stationary sparse attention on Blackwell

Fireworks' MiniMax M3 kernel hits ~980 TFLOP/s with a KV-stationary design. The lesson: for sparse attention, where you park the KV cache matters more than the math.

Attention is the kernel that defines inference. Sparse attention is the variant that defines long-context inference. Fireworks' work on MiniMax M3 sparse attention on Blackwell is a masterclass in why the data layout matters as much as the math.

The problem

MiniMax M3 uses sparse attention to handle 1M-token contexts. The naive approach: query-stationary, where you stream the KV cache through the compute. Fireworks found a better way: KV-stationary, where you keep the KV cache resident and stream the queries.

The numbers

Mental model

Query-stationary is like a chef who keeps running to the pantry for each ingredient. KV-stationary is the chef who stages everything on the counter first. For sparse attention, staging wins.

The design space

Fireworks walks through the Q-outer vs KV-outer design space, and the I/O roofline with the reuse crossover at nsb/N < 2.85. The insight: for sparse attention, the KV cache is the thing you want to keep resident, because it's reused across queries. The queries are the stream.

What a fast kernel unlocks

For sparse attention, the KV cache is the asset. Keep it resident, stream the queries, and you win.

Sources

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