1\begin{table}[p]2\centering\scriptsize3\begin{threeparttable}4\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}5\begin{tabular}{@{}llrr@{}}6\toprule7Pattern & curvature & $q$ & $m = 96$ \\8\midrule9(1) & exact & 0 & 57.821 \\10(1) & exact & 1 & 3.401 \\11(1) & exact & 2 & 0.011 \\12(1) & exact & 3 & 1.22e-7 \\13(1) & stale & 1 & 1.316 \\14(1) & stale & 2 & 0.111 \\15(1) & stale & 3 & 0.009 \\16(1) & single & 1 & 17.180 \\17(1) & single & 2 & 11.769 \\18(1) & single & 3 & 11.093 \\19(1,2) & exact & 0 & 925.947 \\20(1,2) & exact & 1 & 2.68e+5 \\21(1,2) & exact & 2 & 5.11e+12 \\22(1,2) & exact & 3 & 9.29e+13 \\23(1,2) & stale & 1 & 761.997 \\24(1,2) & stale & 2 & 664.009 \\25(1,2) & stale & 3 & 580.598 \\26(1,2) & single & 1 & 5.93e+5 \\27(1,2) & single & 2 & 3.90e+24 \\28(1,2) & single & 3 & 2.99e+38 \\29(1,3) & exact & 0 & 8657.896 \\30(1,3) & exact & 1 & 2.02e+8 \\31(1,3) & exact & 2 & 7.73e+46 \\32(1,3) & exact & 3 & 4.22e+130 \\33(1,2,4) & exact & 0 & 3.07e+4 \\34(1,2,4) & exact & 1 & 3.62e+9 \\35(1,2,4) & exact & 2 & 3.14e+16 \\36(1,2,4) & exact & 3 & 2.45e+91 \\37(1,2,4) & stale & 1 & 3.04e+4 \\38(1,2,4) & stale & 2 & 3.02e+4 \\39(1,2,4) & stale & 3 & 2.99e+4 \\40(1,2,4) & single & 1 & 2.01e+26 \\41(1,2,4) & single & 2 & 5.38e+139 \\42(1,2,4) & single & 3 & 5.42e+139 \\43(1,2,3) & exact & 0 & 1.72e+4 \\44(1,2,3) & exact & 1 & 9.04e+8 \\45(1,2,3) & exact & 2 & 4.22e+17 \\46(1,2,3) & exact & 3 & 1.52e+137 \\47(1,2,4,8) & exact & 0 & 6.12e+4 \\48(1,2,4,8) & exact & 1 & 3.14e+10 \\49(1,2,4,8) & exact & 2 & 1.50e+27 \\50(1,2,4,8) & exact & 3 & 1.50e+27 \\51(1,2,3,4) & exact & 0 & 1.05e+5 \\52(1,2,3,4) & exact & 1 & 1.84e+11 \\53(1,2,3,4) & exact & 2 & 4.02e+32 \\54(1,2,3,4) & exact & 3 & 5.16e+140 \\55\midrule56(1) & $b$-bit Hessian, $b=2$ & 1 & 3.384 \\57(1) & $b$-bit Hessian, $b=3$ & 1 & 3.552 \\58(1) & $b$-bit Hessian, $b=4$ & 1 & 3.480 \\59(1) & $b$-bit Hessian, $b=6$ & 1 & 3.493 \\60(1) & $b$-bit Hessian, $b=8$ & 1 & 3.406 \\61(1) & $b$-bit Hessian, $b=12$ & 1 & 3.401 \\62(1) & $b$-bit Hessian, $b=16$ & 1 & 3.401 \\63(1) & $b$-bit Hessian, $b=24$ & 1 & 3.401 \\64(1) & $b$-bit Hessian, $b=52$ & 1 & 3.401 \\65(1) & $b$-bit score, $b=2$ & 1 & 4.416 \\66(1) & $b$-bit score, $b=3$ & 1 & 4.086 \\67(1) & $b$-bit score, $b=4$ & 1 & 3.584 \\68(1) & $b$-bit score, $b=6$ & 1 & 3.406 \\69(1) & $b$-bit score, $b=8$ & 1 & 3.402 \\70(1) & $b$-bit score, $b=12$ & 1 & 3.401 \\71(1) & $b$-bit score, $b=16$ & 1 & 3.401 \\72(1) & $b$-bit score, $b=24$ & 1 & 3.401 \\73(1) & $b$-bit score, $b=52$ & 1 & 3.401 \\74(1) & $b$-bit both, $b=2$ & 1 & 4.773 \\75(1) & $b$-bit both, $b=3$ & 1 & 4.279 \\76(1) & $b$-bit both, $b=4$ & 1 & 3.630 \\77(1) & $b$-bit both, $b=6$ & 1 & 3.497 \\78(1) & $b$-bit both, $b=8$ & 1 & 3.406 \\79(1) & $b$-bit both, $b=12$ & 1 & 3.402 \\80(1) & $b$-bit both, $b=16$ & 1 & 3.401 \\81(1) & $b$-bit both, $b=24$ & 1 & 3.401 \\82(1) & $b$-bit both, $b=52$ & 1 & 3.401 \\83(1,2) & $b$-bit Hessian, $b=2$ & 1 & 7.60e+4 \\84(1,2) & $b$-bit Hessian, $b=3$ & 1 & 3.11e+4 \\85(1,2) & $b$-bit Hessian, $b=4$ & 1 & 3.59e+4 \\86(1,2) & $b$-bit Hessian, $b=6$ & 1 & 5.23e+5 \\87(1,2) & $b$-bit Hessian, $b=8$ & 1 & 2.25e+5 \\88(1,2) & $b$-bit Hessian, $b=12$ & 1 & 2.62e+5 \\89(1,2) & $b$-bit Hessian, $b=16$ & 1 & 2.68e+5 \\90(1,2) & $b$-bit Hessian, $b=24$ & 1 & 2.68e+5 \\91(1,2) & $b$-bit Hessian, $b=52$ & 1 & 2.68e+5 \\92(1,2) & $b$-bit score, $b=2$ & 1 & 2.50e+5 \\93(1,2) & $b$-bit score, $b=3$ & 1 & 2.68e+5 \\94(1,2) & $b$-bit score, $b=4$ & 1 & 2.74e+5 \\95(1,2) & $b$-bit score, $b=6$ & 1 & 2.67e+5 \\96(1,2) & $b$-bit score, $b=8$ & 1 & 2.68e+5 \\97(1,2) & $b$-bit score, $b=12$ & 1 & 2.68e+5 \\98(1,2) & $b$-bit score, $b=16$ & 1 & 2.68e+5 \\99(1,2) & $b$-bit score, $b=24$ & 1 & 2.68e+5 \\100(1,2) & $b$-bit score, $b=52$ & 1 & 2.68e+5 \\101(1,2) & $b$-bit both, $b=2$ & 1 & 7.12e+4 \\102(1,2) & $b$-bit both, $b=3$ & 1 & 3.12e+4 \\103(1,2) & $b$-bit both, $b=4$ & 1 & 3.67e+4 \\104(1,2) & $b$-bit both, $b=6$ & 1 & 5.20e+5 \\105(1,2) & $b$-bit both, $b=8$ & 1 & 2.25e+5 \\106(1,2) & $b$-bit both, $b=12$ & 1 & 2.62e+5 \\107(1,2) & $b$-bit both, $b=16$ & 1 & 2.68e+5 \\108(1,2) & $b$-bit both, $b=24$ & 1 & 2.68e+5 \\109(1,2) & $b$-bit both, $b=52$ & 1 & 2.68e+5 \\110(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 7.41e+6 \\111(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 3.19e+7 \\112(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 4.03e+7 \\113(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1.28e+7 \\114(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 3.25e+7 \\115(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 6.37e+8 \\116(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 4.48e+9 \\117(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 3.62e+9 \\118(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 3.62e+9 \\119(1,2,4) & $b$-bit score, $b=2$ & 1 & 3.48e+9 \\120(1,2,4) & $b$-bit score, $b=3$ & 1 & 3.56e+9 \\121(1,2,4) & $b$-bit score, $b=4$ & 1 & 3.55e+9 \\122(1,2,4) & $b$-bit score, $b=6$ & 1 & 3.64e+9 \\123(1,2,4) & $b$-bit score, $b=8$ & 1 & 3.62e+9 \\124(1,2,4) & $b$-bit score, $b=12$ & 1 & 3.62e+9 \\125(1,2,4) & $b$-bit score, $b=16$ & 1 & 3.62e+9 \\126(1,2,4) & $b$-bit score, $b=24$ & 1 & 3.62e+9 \\127(1,2,4) & $b$-bit score, $b=52$ & 1 & 3.62e+9 \\128(1,2,4) & $b$-bit both, $b=2$ & 1 & 7.28e+6 \\129(1,2,4) & $b$-bit both, $b=3$ & 1 & 3.24e+7 \\130(1,2,4) & $b$-bit both, $b=4$ & 1 & 4.05e+7 \\131(1,2,4) & $b$-bit both, $b=6$ & 1 & 1.28e+7 \\132(1,2,4) & $b$-bit both, $b=8$ & 1 & 3.25e+7 \\133(1,2,4) & $b$-bit both, $b=12$ & 1 & 6.37e+8 \\134(1,2,4) & $b$-bit both, $b=16$ & 1 & 4.48e+9 \\135(1,2,4) & $b$-bit both, $b=24$ & 1 & 3.62e+9 \\136(1,2,4) & $b$-bit both, $b=52$ & 1 & 3.62e+9 \\137\bottomrule138\end{tabular}139\begin{tablenotes}\footnotesize140\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}.141\end{tablenotes}142\end{threeparttable}143\end{table}144