Unverified50% confidenceFactExact time
In the ensemble setting, when the margin condition exponent β>1, the N^{-β/2} term may decay faster than N^{-1/2}, so the number of generations can bring more significant gains.
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50%
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Long-term
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10/16/2026
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Related Claims
UnverifiedMechanism one: when labeled questions are relatively scarce, the Q^{-1/2} term dominates the excess risk, generic buffered ERM is optimal, and the marginal benefit of increasing the number of generations N is limited.70% similarUnverifiedWhen the spectral radius of the combined operator is less than 1, the iterative process converges stably to a fixed point.66% similarUnverifiedWhen the factors multiplied by the chain rule are continuously less than 1, gradients decay exponentially (vanishing); when they are continuously greater than 1, gradients grow exponentially (exploding).66% similarUnverifiedThe new inequality provides a finer one-sided upper bound for the deviation of the MoM estimator, especially guaranteeing exponential decay even when only the p-th moment (p<2) exists.65% similar
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