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qA(v)≷qB(v),where the sign can flip as the operating-point vector v variesq_A(v) \gtrless q_B(v), \quad \text{where the sign can flip as the operating-point vector } v \text{ varies}

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More fundamentally, even a perfectly executed, continuously updated tracker cannot make the comparison one-dimensional, because quality at a given cost and latency is a function of a whole vector of settings — reasoning effort, context length used, modality, batching — and two systems compared at one point in that vector can reverse their relative standing at another point: qA(v)≷qB(v),where the sign can flip as the operating-point vector v variesq_A(v) \gtrless q_B(v), \quad \text{where the sign can flip as the operating-point vector } v \text{ varies}. A model that leads at high cost and maximum reasoning effort is not guaranteed to lead at the low-cost, low-latency point a production deployment actually needs, and a comparison that quotes only one of those two points without saying which is not wrong so much as silently incomplete. No published…

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qAq_A

Symbol q_A

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vv

Symbol v

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qBq_B

Symbol q_B

qBq_B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (1)

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qA(v)≷qB(v),where the sign can flip as the operating-point vector v varies.q_A(v) \gtrless q_B(v), \quad \text{where the sign can flip as the operating-point vector } v \text{ varies}.

Equation 17 · Model Evaluation

The Hardest Unsolved Problems in Frontier AI Model Comparisons

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

More fundamentally, even a perfectly executed, continuously updated tracker cannot make the comparison one-dimensional, because quality at a given cost and latency is a function of a whole vector of settings — reasoning effort, context length used, modality, batching — and two systems compared at one point in that vector can reverse their relative standing at another point: qA(v)≷qB(v),where the sign can flip as the operating-point vector v variesq_A(v) \gtrless q_B(v), \quad \text{where the sign can flip as the operating-point vector } v \text{ varies}. A model that leads at high cost and maximum reasoning effort is not guaranteed to lead at the low-cost, low-latency point a production deployment actually needs, and a comparison that quotes only one of those two points without saying which is not wrong so much as silently incomplete. No published…

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