\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 & 57.950 \\ (1) & exact & 1 & 3.417 \\ (1) & exact & 2 & 0.011 \\ (1) & exact & 3 & 1.24e-7 \\ (1) & stale & 1 & 1.302 \\ (1) & stale & 2 & 0.109 \\ (1) & stale & 3 & 0.009 \\ (1) & single & 1 & 17.275 \\ (1) & single & 2 & 11.674 \\ (1) & single & 3 & 10.562 \\ (1,2) & exact & 0 & 426.941 \\ (1,2) & exact & 1 & 2316.233 \\ (1,2) & exact & 2 & 9.35e+5 \\ (1,2) & exact & 3 & 1.61e+14 \\ (1,2) & stale & 1 & 139.167 \\ (1,2) & stale & 2 & 33.349 \\ (1,2) & stale & 3 & 3.160 \\ (1,2) & single & 1 & 2485.332 \\ (1,2) & single & 2 & 2.99e+6 \\ (1,2) & single & 3 & 5.18e+38 \\ (1,3) & exact & 0 & 4391.045 \\ (1,3) & exact & 1 & 3.31e+5 \\ (1,3) & exact & 2 & 5.73e+11 \\ (1,3) & exact & 3 & 7.08e+109 \\ (1,2,4) & exact & 0 & 4.32e+4 \\ (1,2,4) & exact & 1 & 6.04e+9 \\ (1,2,4) & exact & 2 & 4.29e+16 \\ (1,2,4) & exact & 3 & 4.32e+16 \\ (1,2,4) & stale & 1 & 4.30e+4 \\ (1,2,4) & stale & 2 & 4.27e+4 \\ (1,2,4) & stale & 3 & 4.25e+4 \\ (1,2,4) & single & 1 & 3.48e+26 \\ (1,2,4) & single & 2 & 5.80e+97 \\ (1,2,4) & single & 3 & 5.83e+97 \\ (1,2,3) & exact & 0 & 8352.835 \\ (1,2,3) & exact & 1 & 1.02e+6 \\ (1,2,3) & exact & 2 & 4.99e+13 \\ (1,2,3) & exact & 3 & 3.80e+106 \\ (1,2,4,8) & exact & 0 & 8.62e+4 \\ (1,2,4,8) & exact & 1 & 5.25e+10 \\ (1,2,4,8) & exact & 2 & 1.96e+24 \\ (1,2,4,8) & exact & 3 & 1.96e+24 \\ (1,2,3,4) & exact & 0 & 1.25e+5 \\ (1,2,3,4) & exact & 1 & 2.92e+11 \\ (1,2,3,4) & exact & 2 & 3.69e+23 \\ (1,2,3,4) & exact & 3 & 1.83e+89 \\ \midrule (1) & $b$-bit Hessian, $b=2$ & 1 & 3.384 \\ (1) & $b$-bit Hessian, $b=3$ & 1 & 3.532 \\ (1) & $b$-bit Hessian, $b=4$ & 1 & 3.429 \\ (1) & $b$-bit Hessian, $b=6$ & 1 & 3.504 \\ (1) & $b$-bit Hessian, $b=8$ & 1 & 3.419 \\ (1) & $b$-bit Hessian, $b=12$ & 1 & 3.417 \\ (1) & $b$-bit Hessian, $b=16$ & 1 & 3.417 \\ (1) & $b$-bit Hessian, $b=24$ & 1 & 3.417 \\ (1) & $b$-bit Hessian, $b=52$ & 1 & 3.417 \\ (1) & $b$-bit score, $b=2$ & 1 & 4.460 \\ (1) & $b$-bit score, $b=3$ & 1 & 4.101 \\ (1) & $b$-bit score, $b=4$ & 1 & 3.687 \\ (1) & $b$-bit score, $b=6$ & 1 & 3.406 \\ (1) & $b$-bit score, $b=8$ & 1 & 3.421 \\ (1) & $b$-bit score, $b=12$ & 1 & 3.418 \\ (1) & $b$-bit score, $b=16$ & 1 & 3.417 \\ (1) & $b$-bit score, $b=24$ & 1 & 3.417 \\ (1) & $b$-bit score, $b=52$ & 1 & 3.417 \\ (1) & $b$-bit both, $b=2$ & 1 & 4.755 \\ (1) & $b$-bit both, $b=3$ & 1 & 4.303 \\ (1) & $b$-bit both, $b=4$ & 1 & 3.667 \\ (1) & $b$-bit both, $b=6$ & 1 & 3.489 \\ (1) & $b$-bit both, $b=8$ & 1 & 3.423 \\ (1) & $b$-bit both, $b=12$ & 1 & 3.418 \\ (1) & $b$-bit both, $b=16$ & 1 & 3.417 \\ (1) & $b$-bit both, $b=24$ & 1 & 3.417 \\ (1) & $b$-bit both, $b=52$ & 1 & 3.417 \\ (1,2) & $b$-bit Hessian, $b=2$ & 1 & 2721.153 \\ (1,2) & $b$-bit Hessian, $b=3$ & 1 & 2622.352 \\ (1,2) & $b$-bit Hessian, $b=4$ & 1 & 2278.291 \\ (1,2) & $b$-bit Hessian, $b=6$ & 1 & 2394.384 \\ (1,2) & $b$-bit Hessian, $b=8$ & 1 & 2305.622 \\ (1,2) & $b$-bit Hessian, $b=12$ & 1 & 2317.290 \\ (1,2) & $b$-bit Hessian, $b=16$ & 1 & 2316.103 \\ (1,2) & $b$-bit Hessian, $b=24$ & 1 & 2316.233 \\ (1,2) & $b$-bit Hessian, $b=52$ & 1 & 2316.233 \\ (1,2) & $b$-bit score, $b=2$ & 1 & 2443.159 \\ (1,2) & $b$-bit score, $b=3$ & 1 & 2241.467 \\ (1,2) & $b$-bit score, $b=4$ & 1 & 2359.819 \\ (1,2) & $b$-bit score, $b=6$ & 1 & 2305.944 \\ (1,2) & $b$-bit score, $b=8$ & 1 & 2316.935 \\ (1,2) & $b$-bit score, $b=12$ & 1 & 2316.057 \\ (1,2) & $b$-bit score, $b=16$ & 1 & 2316.229 \\ (1,2) & $b$-bit score, $b=24$ & 1 & 2316.233 \\ (1,2) & $b$-bit score, $b=52$ & 1 & 2316.233 \\ (1,2) & $b$-bit both, $b=2$ & 1 & 2852.513 \\ (1,2) & $b$-bit both, $b=3$ & 1 & 2537.858 \\ (1,2) & $b$-bit both, $b=4$ & 1 & 2321.353 \\ (1,2) & $b$-bit both, $b=6$ & 1 & 2383.708 \\ (1,2) & $b$-bit both, $b=8$ & 1 & 2306.320 \\ (1,2) & $b$-bit both, $b=12$ & 1 & 2317.114 \\ (1,2) & $b$-bit both, $b=16$ & 1 & 2316.099 \\ (1,2) & $b$-bit both, $b=24$ & 1 & 2316.233 \\ (1,2) & $b$-bit both, $b=52$ & 1 & 2316.233 \\ (1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 1.22e+7 \\ (1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 4.70e+6 \\ (1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 6.75e+7 \\ (1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1.63e+7 \\ (1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 3.20e+7 \\ (1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 9.10e+8 \\ (1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 7.52e+9 \\ (1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 6.03e+9 \\ (1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 6.04e+9 \\ (1,2,4) & $b$-bit score, $b=2$ & 1 & 5.76e+9 \\ (1,2,4) & $b$-bit score, $b=3$ & 1 & 5.92e+9 \\ (1,2,4) & $b$-bit score, $b=4$ & 1 & 5.92e+9 \\ (1,2,4) & $b$-bit score, $b=6$ & 1 & 6.06e+9 \\ (1,2,4) & $b$-bit score, $b=8$ & 1 & 6.03e+9 \\ (1,2,4) & $b$-bit score, $b=12$ & 1 & 6.04e+9 \\ (1,2,4) & $b$-bit score, $b=16$ & 1 & 6.04e+9 \\ (1,2,4) & $b$-bit score, $b=24$ & 1 & 6.04e+9 \\ (1,2,4) & $b$-bit score, $b=52$ & 1 & 6.04e+9 \\ (1,2,4) & $b$-bit both, $b=2$ & 1 & 1.20e+7 \\ (1,2,4) & $b$-bit both, $b=3$ & 1 & 4.69e+6 \\ (1,2,4) & $b$-bit both, $b=4$ & 1 & 6.79e+7 \\ (1,2,4) & $b$-bit both, $b=6$ & 1 & 1.63e+7 \\ (1,2,4) & $b$-bit both, $b=8$ & 1 & 3.20e+7 \\ (1,2,4) & $b$-bit both, $b=12$ & 1 & 9.10e+8 \\ (1,2,4) & $b$-bit both, $b=16$ & 1 & 7.52e+9 \\ (1,2,4) & $b$-bit both, $b=24$ & 1 & 6.03e+9 \\ (1,2,4) & $b$-bit both, $b=52$ & 1 & 6.04e+9 \\ \bottomrule \end{tabular} \begin{tablenotes}\footnotesize \item 80 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}