\begin{table}[p] \centering\scriptsize \begin{threeparttable} \caption{Ablation (logistic, $N = 196,608$): RMS of $\sqrt N\,\lVert\tilde\theta - \widehat\theta_N\rVert$ by split pattern, order $r$, Newton rounds $q$ and curvature used (exact / stale averaged local / single machine); quantized exact curvature with $b$ mantissa bits for $q = 1$.}\label{tab:abl_logistic} \begin{tabular}{@{}llrr@{}} \toprule Pattern & curvature & $q$ & $m = 96$ \\ \midrule (1) & exact & 0 & 57.821 \\ (1) & exact & 1 & 3.401 \\ (1) & exact & 2 & 0.011 \\ (1) & exact & 3 & 1.22e-7 \\ (1) & stale & 1 & 1.316 \\ (1) & stale & 2 & 0.111 \\ (1) & stale & 3 & 0.009 \\ (1) & single & 1 & 17.180 \\ (1) & single & 2 & 11.769 \\ (1) & single & 3 & 11.093 \\ (1,2) & exact & 0 & 925.947 \\ (1,2) & exact & 1 & 2.68e+5 \\ (1,2) & exact & 2 & 5.11e+12 \\ (1,2) & exact & 3 & 9.29e+13 \\ (1,2) & stale & 1 & 761.997 \\ (1,2) & stale & 2 & 664.009 \\ (1,2) & stale & 3 & 580.598 \\ (1,2) & single & 1 & 5.93e+5 \\ (1,2) & single & 2 & 3.90e+24 \\ (1,2) & single & 3 & 2.99e+38 \\ (1,3) & exact & 0 & 8657.896 \\ (1,3) & exact & 1 & 2.02e+8 \\ (1,3) & exact & 2 & 7.73e+46 \\ (1,3) & exact & 3 & 4.22e+130 \\ (1,2,4) & exact & 0 & 3.07e+4 \\ (1,2,4) & exact & 1 & 3.62e+9 \\ (1,2,4) & exact & 2 & 3.14e+16 \\ (1,2,4) & exact & 3 & 2.45e+91 \\ (1,2,4) & stale & 1 & 3.04e+4 \\ (1,2,4) & stale & 2 & 3.02e+4 \\ (1,2,4) & stale & 3 & 2.99e+4 \\ (1,2,4) & single & 1 & 2.01e+26 \\ (1,2,4) & single & 2 & 5.38e+139 \\ (1,2,4) & single & 3 & 5.42e+139 \\ (1,2,3) & exact & 0 & 1.72e+4 \\ (1,2,3) & exact & 1 & 9.04e+8 \\ (1,2,3) & exact & 2 & 4.22e+17 \\ (1,2,3) & exact & 3 & 1.52e+137 \\ (1,2,4,8) & exact & 0 & 6.12e+4 \\ (1,2,4,8) & exact & 1 & 3.14e+10 \\ (1,2,4,8) & exact & 2 & 1.50e+27 \\ (1,2,4,8) & exact & 3 & 1.50e+27 \\ (1,2,3,4) & exact & 0 & 1.05e+5 \\ (1,2,3,4) & exact & 1 & 1.84e+11 \\ (1,2,3,4) & exact & 2 & 4.02e+32 \\ (1,2,3,4) & exact & 3 & 5.16e+140 \\ \midrule (1) & $b$-bit Hessian, $b=2$ & 1 & 3.384 \\ (1) & $b$-bit Hessian, $b=3$ & 1 & 3.552 \\ (1) & $b$-bit Hessian, $b=4$ & 1 & 3.480 \\ (1) & $b$-bit Hessian, $b=6$ & 1 & 3.493 \\ (1) & $b$-bit Hessian, $b=8$ & 1 & 3.406 \\ (1) & $b$-bit Hessian, $b=12$ & 1 & 3.401 \\ (1) & $b$-bit Hessian, $b=16$ & 1 & 3.401 \\ (1) & $b$-bit Hessian, $b=24$ & 1 & 3.401 \\ (1) & $b$-bit Hessian, $b=52$ & 1 & 3.401 \\ (1) & $b$-bit score, $b=2$ & 1 & 4.416 \\ (1) & $b$-bit score, $b=3$ & 1 & 4.086 \\ (1) & $b$-bit score, $b=4$ & 1 & 3.584 \\ (1) & $b$-bit score, $b=6$ & 1 & 3.406 \\ (1) & $b$-bit score, $b=8$ & 1 & 3.402 \\ (1) & $b$-bit score, $b=12$ & 1 & 3.401 \\ (1) & $b$-bit score, $b=16$ & 1 & 3.401 \\ (1) & $b$-bit score, $b=24$ & 1 & 3.401 \\ (1) & $b$-bit score, $b=52$ & 1 & 3.401 \\ (1) & $b$-bit both, $b=2$ & 1 & 4.773 \\ (1) & $b$-bit both, $b=3$ & 1 & 4.279 \\ (1) & $b$-bit both, $b=4$ & 1 & 3.630 \\ (1) & $b$-bit both, $b=6$ & 1 & 3.497 \\ (1) & $b$-bit both, $b=8$ & 1 & 3.406 \\ (1) & $b$-bit both, $b=12$ & 1 & 3.402 \\ (1) & $b$-bit both, $b=16$ & 1 & 3.401 \\ (1) & $b$-bit both, $b=24$ & 1 & 3.401 \\ (1) & $b$-bit both, $b=52$ & 1 & 3.401 \\ (1,2) & $b$-bit Hessian, $b=2$ & 1 & 7.60e+4 \\ (1,2) & $b$-bit Hessian, $b=3$ & 1 & 3.11e+4 \\ (1,2) & $b$-bit Hessian, $b=4$ & 1 & 3.59e+4 \\ (1,2) & $b$-bit Hessian, $b=6$ & 1 & 5.23e+5 \\ (1,2) & $b$-bit Hessian, $b=8$ & 1 & 2.25e+5 \\ (1,2) & $b$-bit Hessian, $b=12$ & 1 & 2.62e+5 \\ (1,2) & $b$-bit Hessian, $b=16$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit Hessian, $b=24$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit Hessian, $b=52$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=2$ & 1 & 2.50e+5 \\ (1,2) & $b$-bit score, $b=3$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=4$ & 1 & 2.74e+5 \\ (1,2) & $b$-bit score, $b=6$ & 1 & 2.67e+5 \\ (1,2) & $b$-bit score, $b=8$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=12$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=16$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=24$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit score, $b=52$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit both, $b=2$ & 1 & 7.12e+4 \\ (1,2) & $b$-bit both, $b=3$ & 1 & 3.12e+4 \\ (1,2) & $b$-bit both, $b=4$ & 1 & 3.67e+4 \\ (1,2) & $b$-bit both, $b=6$ & 1 & 5.20e+5 \\ (1,2) & $b$-bit both, $b=8$ & 1 & 2.25e+5 \\ (1,2) & $b$-bit both, $b=12$ & 1 & 2.62e+5 \\ (1,2) & $b$-bit both, $b=16$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit both, $b=24$ & 1 & 2.68e+5 \\ (1,2) & $b$-bit both, $b=52$ & 1 & 2.68e+5 \\ (1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 7.41e+6 \\ (1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 3.19e+7 \\ (1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 4.03e+7 \\ (1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1.28e+7 \\ (1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 3.25e+7 \\ (1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 6.37e+8 \\ (1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 4.48e+9 \\ (1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit score, $b=2$ & 1 & 3.48e+9 \\ (1,2,4) & $b$-bit score, $b=3$ & 1 & 3.56e+9 \\ (1,2,4) & $b$-bit score, $b=4$ & 1 & 3.55e+9 \\ (1,2,4) & $b$-bit score, $b=6$ & 1 & 3.64e+9 \\ (1,2,4) & $b$-bit score, $b=8$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit score, $b=12$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit score, $b=16$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit score, $b=24$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit score, $b=52$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit both, $b=2$ & 1 & 7.28e+6 \\ (1,2,4) & $b$-bit both, $b=3$ & 1 & 3.24e+7 \\ (1,2,4) & $b$-bit both, $b=4$ & 1 & 4.05e+7 \\ (1,2,4) & $b$-bit both, $b=6$ & 1 & 1.28e+7 \\ (1,2,4) & $b$-bit both, $b=8$ & 1 & 3.25e+7 \\ (1,2,4) & $b$-bit both, $b=12$ & 1 & 6.37e+8 \\ (1,2,4) & $b$-bit both, $b=16$ & 1 & 4.48e+9 \\ (1,2,4) & $b$-bit both, $b=24$ & 1 & 3.62e+9 \\ (1,2,4) & $b$-bit both, $b=52$ & 1 & 3.62e+9 \\ \bottomrule \end{tabular} \begin{tablenotes}\footnotesize \item 240 paired replications per column; $K = N/m$. Rows are omitted when the pattern does not divide $m$. Source: \texttt{results/processed/ablation\_logistic\_summary.csv}. \end{tablenotes} \end{threeparttable} \end{table}