FA-14252 / Numerical aggregation / Member archive
Three row count sketch: Every weighted contribution increments by one. · case 02
The reduction disagrees with its explicit aggregation oracle.
Case contract
A stipulated nonnegative weighted count-min table has exactly three independent rows of positive width, with bucket functions k%w,(3*k+1)%w,(k//w)%w for nonnegative integer keys. Add all block contributions, then estimate each query by the minimum of its three cells. Return [table,estimates]; no probabilistic error guarantee is claimed.
Why this case matters
Exact bounded examples isolate a reduction defect without floating-point or external-service effects.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression 1 | [[[2, 1, 0, 0], [1, 2, 0, 0], [2, 1, 0, 0]], [2, 1, 1, 0]] | [[[3, 3, 0, 0], [3, 3, 0, 0], [5, 1, 0, 0]], [3, 3, 1, 0]] | Failed |
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