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Vector retrieval: Unequal vector norms distort cosine ranking · case 03

Unequal vector norms distort cosine ranking.

Member previewVariant 3 · 3 implementations · 6 checks per implementation

Case contract

Rows are [id,dot,query_norm_squared,vector_norm_squared], with positive norms and valid dot products. Rank by signed cosine dot/sqrt(query_norm_squared*vector_norm_squared), then ID.

Why this case matters

An offline vector retrieval toy model isolates one ranking contract from embedding generation, storage, and serving.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
large norm lowers cosine	`["b", "a"]`	`["a", "b"]`	Failed

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