Records of the !mmortal Data Scientist · Jul 16, 2026
The Kernel Between the Roles
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The QK post in this series ended on a construction it refused to build: keep the query and key roles, but replace the bilinear-then-exponential score with a genuine Mercer kernel between them. This post builds it, with the kernel's full form: a per-head learned bias inside the square, the term the universality theorem requires, and a per-head learned softening. Because the kernel is nonnegative by…
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