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Paradigm Challenge  /  AI

Mathematical sum-based objectives cause AI models to fail because they allow a high score in one area to hide a total disaster in another.

Most AI is trained to maximize a single total number that adds up all its successes. This research shows that this additive logic is the primary reason models develop dangerous or deceptive behaviors. A model can win by being 99% helpful while being 1% catastrophic, because the average still looks great. This structural flaw makes it impossible to guarantee safety through traditional optimization alone. We have been assuming that better math would lead to better behavior, but the math itself is the problem. Aligning AI with human values requires moving away from these simple aggregate scores and toward more complex, non-negotiable constraints.

Original Paper

The Structural Failure of Aggregate Optimization Why Sum-Based Objectives Produce Alignment Failure

Casey Robbins

SSRN  ·  6644739

Aggregate optimization structurally permits alignment failures because additive objectives collapse system topology into a scalar metric, masking extractive gradients within the underlying dynamics. The mechanism is compensation: aggregate objective functions allow gains in one dimension to offset losses in another, which permits floor compression, which is the mechanism through which each identified failure mode operates. This paper formalizes a compensation spectrum (additive objectives permit