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papers/kai/tables/capability.tex
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Kai: stage a7's tables and text, and speed on ROCm beside Laya, with no Metal timings.
2026-09-28 06:01:06 -07:00

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% capability.tex: written by `bench tex` (hanzoai/decision); Kai runs/a7, weights 0834a74f, metal bf16; harness a1a4a73; benchmarks 039fbfe
% Kai: joint rows are its refinement over three passes (projected: its own selection and projection); Laya's joint rows are its typed-decisions checkpoint; media is Laya as routed. Rejected: questions a backend refuses, over all asked.
\begin{tabular}{@{}lccc@{}}
\toprule
& Kai & Laya & Jev \\
\midrule
\multicolumn{4}{@{}l}{\emph{Cardinality}} \\
Accuracy, $K = 4$ & 0.685 & 0.777 & 0.905 \\
Accuracy, $K = 16$ & 0.395 & 0.670 & 0.853 \\
Accuracy, $K = 77$ & 0.255 & 0.425 & 0.843 \\
Accuracy, $K = 150$ & 0.287 & 0.610 & 0.940 \\
Accuracy, $K = 1{,}000$ & 0.005 & 0.000 & 0.000 \\
Accuracy, $K = 10{,}000$ & 0.000 & 0.000 & 0.000 \\
Accuracy, $K = 100{,}000$ & 0.000 & 0.000 & 0.000 \\
Rejected, $K = 1{,}000$ & 0.000 & 1.000 & 1.000 \\
Rejected, $K = 10{,}000$ & 0.000 & 1.000 & 1.000 \\
Rejected, $K = 100{,}000$ & 0.000 & 1.000 & 1.000 \\
\midrule
\multicolumn{4}{@{}l}{\emph{Joint coherence, five dependent questions}} \\
Accuracy & 0.306 & 0.336 & 0.837 \\
Exact & 0.000 & 0.005 & 0.438 \\
Violations & 1.000 & 0.637 & 0.247 \\
Accuracy, projected & 0.341 & 0.328 & 0.879 \\
Exact, projected & 0.010 & 0.040 & 0.560 \\
\midrule
\multicolumn{4}{@{}l}{\emph{Invariance}} \\
Permutation, flip & 0.000 & 0.255 & 0.060 \\
Permutation, max $\Delta p$ & 0.000 & 0.996 & 0.470 \\
Noul sides swapped, mirror & 0.915 & 0.205 & 0.062 \\
Noul negated, mirror & 0.430 & 0.300 & 0.882 \\
\midrule
\multicolumn{4}{@{}l}{\emph{Media, accuracy}} \\
Human activity (HAR) & 0.160 & 0.203 & 0.153 \\
Turbofan life (C-MAPSS) & 0.330 & 0.170 & 0.300 \\
Valve sound (MIMII) & 0.500 & 0.500 & 0.840 \\
\midrule
\multicolumn{4}{@{}l}{\emph{Conformal sets, 90\% target}} \\
Coverage & 0.901 & 0.901 & 0.901 \\
Mean set size & 2.498 & 6.801 & 1.304 \\
\midrule
Refresh: questions asked / full & 6 / 101 & 100 / 100 & 100 / 100 \\
Runs offline & yes & yes & no \\
\bottomrule
\multicolumn{4}{@{}l@{}}{\footnotesize\begin{tabular}[t]{@{}l@{}}Kai runs/a7, weights 0834a74f, metal bf16 \\ harness a1a4a73, benchmarks 039fbfe\end{tabular}} \\
\end{tabular}