Interpretability’s local-to-global guarantees may break, a Jacobian analogy argues
forestmars · x · 2026-07-25
AI interpretability often leans on local linearizations to infer global behavior, but this post argues that such guarantees may be structurally limited.
It points to the refutation of the Jacobian Conjecture as a mathematical analogy: local invertibility does not imply global injectivity. The implication is that similar “local-to-global” guarantees in interpretability frameworks, such as J-space claims and related lab escape arguments, may not hold in general.
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