The Equivalence of Two Extremum Problems

Kiefer, Wolfowitz1960Optimal experimental design

Kiefer & Wolfowitz (1960) — D-equivalence theorem

Result

in approximate linear design, D-optimality is equivalent to a pointwise maximum-variance/sensitivity condition.

Why important

establishes M−1M^{-1} as the natural D sensitivity metric and provides the archetype for a global optimality certificate.

Does not solve

partition-induced information, score centroids, finite label relocation.

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