feat(rnd): Conformal Procrustes Structure-Mapping Experiment (ADR-0252 §5) #83

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This PR presents the findings of the controlled experiment authorized by ADR-0252 §5 regarding the feasibility of using Cl(4,1) geometry for relational structure-mapping.

Summary of Findings

  • Literal/Relative Scale Embedding: NO-GO due to negative separability margin caused by parameter magnitude variance.
  • Pure Canonical Topology Embedding: Decisive GO with a perfect within-structure residual of 0.000000 and a cross-structure margin of 0.200965 (satisfying all conformance criteria).
  • Attribute-Invariance: Verified down to float64 machine precision (2.394679e-16).
  • Structure-Sensitivity: Confirmed (> 0.20).

Deliverables

[Verification]: Smoke suite passed locally (138.18s, 176 passed)

This PR presents the findings of the controlled experiment authorized by **ADR-0252 §5** regarding the feasibility of using Cl(4,1) geometry for relational structure-mapping. ### Summary of Findings - **Literal/Relative Scale Embedding**: NO-GO due to negative separability margin caused by parameter magnitude variance. - **Pure Canonical Topology Embedding**: Decisive **GO** with a perfect within-structure residual of `0.000000` and a cross-structure margin of `0.200965` (satisfying all conformance criteria). - **Attribute-Invariance**: Verified down to float64 machine precision (`2.394679e-16`). - **Structure-Sensitivity**: Confirmed (> 0.20). ### Deliverables - Research report at [sme-feasibility-2026-07-19.md](file:///Users/kaizenpro/Projects/core/docs/research/sme-feasibility-2026-07-19.md) - Core experiment script at [rnd_structure_mapping_experiment.py](file:///Users/kaizenpro/Projects/core/scripts/rnd_structure_mapping_experiment.py) [Verification]: Smoke suite passed locally (138.18s, 176 passed)
ai-agent added 1 commit 2026-07-19 23:12:41 +00:00
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Geometric SME ruled out on API grounds (conformal_procrustes presupposes correspondence) — see ADR-0252 §5 resolution. Superseded by Track B symbolic structure-mapping.

Geometric SME ruled out on API grounds (conformal_procrustes presupposes correspondence) — see ADR-0252 §5 resolution. Superseded by Track B symbolic structure-mapping.
ai-agent closed this pull request 2026-07-20 01:51:01 +00:00

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Reference: core-labs/core#83
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