ot-baseline-preserves-local-not-global-structure

IN premise — summaries/2026/08/24/jha-2025-vec2vec-s7-ablations.md

Created 2026-08-24T17:10:58+00:00

The oracle-aided OT baseline achieves cos 0.70 but T⁻¹ = 0.00 and Rank ≈ 3064, preserving local similarity while failing to preserve global geometric rank ordering

Summary

The oracle-aided transport method gets individual point-matches looking reasonable, but it completely flattens the broader geometric structure, so it cannot be trusted for anything that depends on global ordering, clustering, or low-dimensional shape. In practice, this means the system should treat this baseline as a local-similarity tool only and must not use it to infer relationships across the full space.