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zT2N6^wnjxo#ew_INz<=vZry#@;-_#wjH&r@Xd2YBF$8pB$BJ$I<)ypbsFF%Nh+E&0<{C)%;kf#Ua-qyA7>w8l7N{(Ksg|BS%7-u0~s_!U^E0S?s9qy0!*d`bR-_c zEeMbZY)e*6%`X5LIvS3KB(q9OnU_z2v{OVsKtK$DwSak3Y}+pUZL*50$ tokens) converge toward the model's intrinsic +mean loss, yielding stable IFD estimates. + +\begin{figure}[H] +\centering +\includegraphics[width=0.75\linewidth]{data/length_vs_loss_ifd.png} +\caption{Response length vs.\ unconditional loss and IFD. Short +responses produce high-variance $L_{\text{uncond}}$ estimates, +inflating IFD noise.} +\label{fig:length_bias} +\end{figure} + +This bias is well-known in the IFD literature but often omitted. +For practitioners, a simple mitigation is to filter samples with +$<20$ response tokens before computing IFD. In our Alpaca-style +dataset, this removes approximately $5$--$8\%$ of samples and +substantially reduces false positives in the high-IFD tail. + % ====================================================================== \begin{thebibliography}{99}