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The Arbitrary-Placement Problem in Entropy-Minimizing Selection, and a Residual-Entropy Formulation
Entropy-based selection objectives suffer from a fundamental degeneracy: minimizing Shannon entropy $H(p_A)$ rewards confident selection regardless of whether the selected candidate is informative. We address this limitation with the residual entropy $D = H(p_A) - H(p_β)$, where $p_β$ is induced by
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