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Sparse gradient coordinates are combined by list position · case 04

Sparse gradient coordinates are combined by list position.

Member previewVariant 4 · 3 implementations · 6 checks per implementation

Case contract

Rows [worker, [(coordinate,value),...]]; sum values by coordinate and return sorted pairs; empty coordinates omitted.

Why this case matters

A toy distributed-training contract makes replica and shard contribution rules explicit without claiming framework compatibility or performance.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixtureActualExpectedOutcome
sparse order differs[[0, 7], [1, 5]][[0, 4], [2, 8]]Failed

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