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Author

Prashant Singh

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#artificial intelligence Preprint Sep 2026

What Fixed-Rollout pass@k Evaluations Can Identify

This work gives an exact, conservative one-coordinate finite-task confidence certificate and a reporting standard separating direct estimates, identified sets, and model-conditioned forecasts, and gives exact count-law-preserving constructions with incompatible extrapolations with incompatible extrapolations.

Pranavi Singh, Prashant Singh · 0 citations
#artificial intelligence Preprint Sep 2026

Critical initialization destabilizes higher input derivatives in wide scalar-input networks

It is proved that every fixed finite derivative order has uniformly bounded variance under explicit regularity assumptions, and for residual networks with branch scale L^{-1/2}, it is proved that every fixed finite derivative order has uniformly bounded variance under explicit regularity assumptions.

Prashant Singh, Pranav Singh · 0 citations

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