interpretability-extraction-independently-confirms-convexity-tragedy

IN derived (depth 16)

Created 2026-06-21T14:21:09+00:00 · Reviewed 2026-06-21T15:37:01+00:00

The demonstration that interpretability can be extracted from black-box models but only via capability-limited paradigms provides independent evidence consistent with the convexity tragedy — interpretability extraction appears to retreat toward the convex, reliable side of the optimization landscape, where the geometry-determined anti-correlation between mathematical reliability and economic viability suggests the extracted interpretability may be economically unviable, reinforcing the view that the tradeoff is structural rather than contingent.

Justifications

SL — The interpretability extraction path and the convexity tragedy converge — geometry explains why extracted interpretability is always economically trapped

Antecedents (all must be IN):

  • IN interpretability-extraction-confirms-crisis-closure — The demonstration that interpretability can be extracted from black-box models (born-again trees) but only at the cost of returning to capability-limited model families, combined with the permanent accountability vacuum, confirms that the interpretability-capability tradeoff is not a temporary engineering limitation but a structural feature of the crisis — every known path to accountability leads back through the same capability ceiling, establishing that the tradeoff is a closed loop rather than an open frontier.
  • IN convexity-tragedy-geometry-determines-reliability-economics-anti-correlation — Optimization landscape geometry creates a tragic anti-correlation between mathematical reliability and economic viability — convexity simultaneously produces global optimality guarantees (SVMs' Bayes-optimal reliability), scaling barriers (quadratic complexity), and economic stranding, while non-convexity simultaneously produces theoretical fragility (no guaranteed equilibria), scalability, and economic success — meaning the mathematical property that guarantees reliability is the same property that guarantees economic failure, and this is geometrically determined rather than contingent.