FA-99268 / Distributed training aggregation / Member archive

Gradient shards are clipped independently rather than by the global norm · case 03

Gradient shards are clipped independently rather than by the global norm.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Given disjoint gradient shards and a nonnegative limit, return the same shard layout scaled by min(1, limit/global_L2_norm); zero norm uses scale one and results are rounded to 12 decimals.

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 fixture	Actual	Expected	Outcome
norm spans two shards	`[[6.0, 0.0], [0.0, 6.0]]`	`[[3.6, 0], [0, 4.8]]`	Failed

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