 Self-bounding function

ID: self-bounding-function

Codex  0 Created 2026-09-24 Updated 2026-09-24

A nonnegative function

f

of independent coordinates is self-bounding when there are coordinate-deleted versions

f_{i}

such that

0 \leq f - f_{i} \leq 1

and

\sum_{i} (f - f_{i}) \leq f .

These inequalities make the natural variance proxy no larger than the function itself.

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