Unverified50% confidenceFactExact time
The lower-bound argument comes from two perspectives: Sobolev capacity constraints and the output-layer cost for approximating a fixed affine function.
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50%
Confidence
Long-term
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10/5/2026
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Related Claims
UnverifiedEven when approximating only a single fixed affine function, at a sufficiently high confidence level, the cost of the output layer must reach ((1-p)/p)ε^{-2}log(1/δ).72% similarUnverifiedThe prediction comes with two qualifications: the cost would be prohibitively high, and it is contingent on continued access to frontier models.69% similarUnverified在实践中优先明确约束与停止条件这两个负向维度，比精心描述正向目标更能快速压制冗余输出68% similarUnverified香农的率失真理论证明，在给定比特率约束下，任何有损压缩都存在不可逾越的失真下界68% similarUnverifiedFor fixed p∈(0,1) and δ<min{1/2,1-p}, under a fixed or logarithmic depth budget, the upper bound and lower bound match exactly in the accuracy exponent.68% similar
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