diff --git a/Prediction_epoch_10 b/Prediction_epoch_10 new file mode 100644 index 0000000000000000000000000000000000000000..66e4cf65f408ada90ceda7c2dcbeeb6adcc92b6d --- /dev/null +++ b/Prediction_epoch_10 @@ -0,0 +1,18 @@ +Prediction: \begin{tabular}{ccc}[NEWLINE] \toprule[NEWLINE] Network&\#Users&\#Edges&\#Posts&\#Anchors&\#SharedEdges\\[NEWLINE] \midrule[NEWLINE] Douban&9734&260467&10941957&2[4]{*}{9514}&2[4]{]{*}{55207}\\[NEWLINE] \midrule[NEWLINE] \multirow{1-4}{Weibo}&9514&196978&3799357&&&&&\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[7end]{tabular}[7]{abs=45}\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[7]{abs=25]{abs=25]{abs=25}{abs=25}{abs=25}{abs=25}{7}{\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[7end]{tabular}[7]{abs=25]{abs=25]{abs=25}{\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[7]{abs=25]{\sigma}[7]{\sigma}[7]{\sigma_529}{\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[7]{\angstrom}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma_5}{\sigma}[7]{\sigma_5}{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma_5}{\sigma}[7]{\sigma}[7]{\sigma_5}{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma]{\sigma}[7]{\sigma}{\sigma}[7]{\sigma}[7]{\sigma}[7]{\sigma][7]{\sigma}[7]{\sigma}[7]{\sigma][7]{\sigma][7]{\sigma]{\sigma}[7]{\sigma}[7]{\sigma]{\sigma}[7]{\sigma}{\sigma}{\sigma}[\sigma]{\sigma}{\sigma}{\sigma}{\sigma}[7]{\sigma}{\sigma}{\sigma + Answer: \begin{tabular}{cccccc}[NEWLINE]\toprule[NEWLINE]Network&\#Users&\#Edges&\#Posts&\#Anchors&\#SharedEdges\\[NEWLINE]\midrule[NEWLINE]Douban&9734&260467&10941957&\multirow{2}[4]{*}{9514}&\multirow{2}[4]{*}{55207}\\[NEWLINE]\cmidrule{1-4}Weibo&9514&196978&3799357&&\\[NEWLINE]\bottomrule[NEWLINE]\end{tabular} + Normed ED: 0.7943037974683544 +Prediction: \begin{tabular}{|c||}[NEWLINE] \hline[NEWLINE] \multicolumn{2}{|c|}{\hline[NEWLINE] \multicolumn{2}{|c|}{\textbf{BruteForceAlgorithm}}&BFA\\[NEWLINE] \hline[NEWLINE] \multicolumn{2}{|c|}{\textbf{greedyAlgorithm}}&GA\\[NEWLINE] \hline[NEWLINE] \multicolumn{2}{|c|}{\textbf{IntlinprogHeuristic}&IH\\[NEWLINE] \hline[NEWLINE] \multicolumn{2}{|c|}{HybridGreedyAlgorithm}&HGA\\[NEWLINE] \hline[NEWLINE] SimplexVRPAIgorithm&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{|c|}{\textbf{SimplexVRPAIgorithm}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{|c|}{\textbf{ThereForeAlgorithm}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{ThereForeAlgorithm}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{4}{\textbf{Genevisual}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Theresolution}\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Genevisual}&Swa\\[NEWLINE][NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \end{tabular}{\textbf{Genera}&Swav\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Geneva}&Swa\\[NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \end{tabular}{\textbf{Genera}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Geneva}&Swa\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{Genera}&Swa\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{SixVRPAIgorithm}&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}{\textbf{4}{\textbf{6}|c|}{\textbf{SixA}&Swak\\textbf{\textbf{SixA}&SVA\\[NEWLINE] \hline[NEWLINE] \hline + Answer: \begin{tabular}{|l|l|}[NEWLINE]\hline[NEWLINE]{\bfAlgorithmName}&{\bfAbbrevation}\\\hline[NEWLINE]BruteForceAlgorithm&BFA\\\hline[NEWLINE]GreedyAlgorithm&GA\\\hline[NEWLINE]IntlinprogHeuristic&IH\\\hline[NEWLINE]HybridGreedyAlgorithm&HGA\\\hline[NEWLINE]SimplexVRPAlgorithm&SVA\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.8335380835380836 +Prediction: \begin{tabular}{|c|c|c|c|}[NEWLINE] \hline[NEWLINE] Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\[NEWLINE] \hline[NEWLINE] 3\_3&3,53&14,12&0.00&-&0.00&16,55&1,00&16,55&0.00&16,55\\[NEWLINE] 3\_2&3,36&17,18&0.00&17,18&0.00&17,18&1,00&17,18&0.00&17,18\\[NEWLINE] 3\_3&3,31&15,84&0.00&22,78&0,00&22,78&1,00&15,84&0,00&15,84\\[NEWLINE] 3\_4&3,46&13,28&0.00&-&0.00&27,06&1,00&13,28&0,00&13,28\\[NEWLINE] 3\_5&3,44&16,11&0.00&-&0.00&16,11&1,00&16,11&0.00&16,11\\[NEWLINE] \hline[NEWLINE] \end{tabular}{end{tabular}{end{tabular}{end{tabular}{nd}\end{tabular}{nd}\end{tabular}{nd}\end{tabular}{nd}\end{tabular}{nd}{rd}{nd}\\[NEWLINE] \hline[NEWLINE] \end{tabular}{end{tabular}{nd}{\end{tabular}{nd}{\second{tabular}{nd}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second}{\second{tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{\tabular}{\second{tabular}{\second{tabular}{\second{tabular}{\second{\second}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\secondBlocation}{\ + Answer: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}[NEWLINE]\hline[NEWLINE]{\bf}&\multicolumn{2}{l|}{{\bfBFA}}&\multicolumn{2}{l|}{{\bfGA}}&\multicolumn{2}{l|}{{\bfIH}}&\multicolumn{2}{l|}{{\bfHGA}}&\multicolumn{2}{l|}{{\bfSVA}}\\\hline[NEWLINE]Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE]3\_1&3,53&14,12&0,00&\multicolumn{1}{c|}{-}&0,00&16,55&1,00&16,55&0,00&16,55\\\hline[NEWLINE]3\_2&3,36&17,18&0,00&17,18&0,00&17,18&1,00&17,18&0,00&17,18\\\hline[NEWLINE]3\_3&3,31&15,84&0,00&22,78&0,00&22,78&1,00&15,84&0,00&15,84\\\hline[NEWLINE]3\_4&3,46&13,28&0,00&\multicolumn{1}{c|}{-}&0,00&27,06&1,01&13,28&0,00&13,28\\\hline[NEWLINE]3\_5&3,44&16,11&0,00&\multicolumn{1}{c|}{-}&0,00&16,11&1,00&16,11&0,00&16,11\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.8498694516971279 +Prediction: \begin{tabular}{|c|c|c|c|}[NEWLINE] \hline[NEWLINE] &&&\multicolumn{2}{|c|}{\textbf{Clases}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}&\multicolumn{2}{|c|}{\textbf{Time}&\multicolumn{2}{|c|}{\textbf{Fuel}{c|}{\textbf{Time}&\multicolumn{2}{ + Answer: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}[NEWLINE]\hline[NEWLINE]{\bf}&\multicolumn{2}{l|}{{\bfBFA}}&\multicolumn{2}{l|}{{\bfGA}}&\multicolumn{2}{l|}{{\bfIH}}&\multicolumn{2}{l|}{{\bfHGA}}&\multicolumn{2}{l|}{{\bfSVA}}\\\hline[NEWLINE]Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE]5\_1&288,55&16,07&0,00&30,06&0,00&24,63&5,38&\multicolumn{1}{c|}{-}&0,00&24,63\\\hline[NEWLINE]5\_2&285,36&20,18&0,00&20,18&0,00&20,18&5,36&20,18&0,00&20,18\\\hline[NEWLINE]5\_3&295,50&18,84&0,00&25,78&0,00&25,78&5,45&18,84&0,00&25,78\\\hline[NEWLINE]5\_4&290,00&18,88&0,00&30,06&0,00&31,87&5,40&20,52&0,00&31,87\\\hline[NEWLINE]5\_5&287,46&18,84&0,00&30,02&0,00&18,84&5,39&18,84&0,00&18,84\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.769742310889443 +Prediction: \begin{tabular}{llll}[NEWLINE] \hline[NEWLINE] Model&TrainRMSE&ValRMSE&TestRMSE&ClarityLos\\[NEWLINE] \hline[NEWLINE] %$GBoost$&0.135$\pm$0.103$&1.30$\pm$0.046[NEWLINE] 1.63$\pm$0.013$&-\\[NEWLINE] \hline[NEWLINE] RF&1.50$\pm$0.019&1.40$\pm$0.060&1.22$\pm$0.043$&-\\[NEWLINE] MLP&2.320$\pm$0.076&2.372$\pm$0.119&2.615$\pm$0.057&-\\[NEWLINE] GLM&3.062$\pm$0.039&3.123$\pm$0.094&3.103$\pm$0.065&-\\[NEWLINE] pyGAM&2.253$\pm$0.025&2.459$\pm$0.057&2.450$\pm$0.046&-\\[NEWLINE] EBM&1.155$\pm$0.157&1.211$\pm$0.165&1,799$\pm$0.132&0.0007$\pm$0.0001\\[NEWLINE] \hline[NEWLINE] \textbf{G}\mathcal{A}\\\hline[NEWLINE] %$\lambda$G_{\mathrm{A}}_$G_{\mathrm{A}}_$G_{\mathrm{A}}_$G_{\mathrm{A}}_}$G_{\mathrm{A}}_$G_{\mathrm{A}}_$G_{\mathrm{A}}_}$G_{\mathrm{A}}_}$G_{\mathrm{A}}_{\mathrm{A}}_}$\pm$0.023$&1.44$\pm$0.019&0.0003$\pm$0.0001$\\[NEWLINE] \hline[NEWLINE] %$\lambda$G_{\mathrm{A}}_$G_{\mathrmA}}_$G_{\mathrmA}}_$G_{\mathrmA}}_$G_{\mathrmA}}_$G_{\mathrmA}}_$G_{\mathrmA}}_$0.966$\pm$0.013&0.059$\pm$0.021&0.056$\pm$0.024&0.0006$\pm$0.0004$\\[NEWLINE] \hline[NEWLINE] $\lambda$=10^{-3}$&0.959$\pm$0.016&0.069$\pm$0.020&0.058$\pm$0.018&0.0024$\pm$0.0013$\\[NEWLINE][NEWLINE] $\lambda=10^{-4}$&0.967$\pm$0.019&0.079$\pm$0.025&0.072$\pm$0.031&0.0037$\pm$0.0025\\[NEWLINE] \hline[NEWLINE] NoHered + Answer: \begin{tabular}{c|c|cccc}[NEWLINE]\hline[NEWLINE]\multicolumn{2}{c|}{Model}&TrainRMSE&ValRMSE&TestRMSE&ClarityLoss\\\hline[NEWLINE]\multicolumn{2}{c|}{XGBoost}&0.135$\pm$0.103&1.630$\pm$0.046&1.634$\pm$0.013&-\\[NEWLINE]\multicolumn{2}{c|}{RF}&1.500$\pm$0.019&1.840$\pm$0.060&1.822$\pm$0.043&-\\[NEWLINE]\multicolumn{2}{c|}{MLP}&2.320$\pm$0.076&2.372$\pm$0.119&2.615$\pm$0.057&-\\[NEWLINE]\multicolumn{2}{c|}{GLM}&3.062$\pm$0.039&3.123$\pm$0.094&3.103$\pm$0.065&-\\[NEWLINE]\multicolumn{2}{c|}{pyGAM}&2.253$\pm$0.025&2.459$\pm$0.057&2.450$\pm$0.046&-\\[NEWLINE]\multicolumn{2}{c|}{EBM}&1.155$\pm$0.157&1.211$\pm$0.165&1.799$\pm$0.132&0.0007$\pm$0.0001\\\hline[NEWLINE]\multirow{6}{*}{\shortstack{G\\A\\M\\I\\N\\E\\T}}&$\lambda=10^{0}$&0.999$\pm$0.012&1.053$\pm$0.023&1.044$\pm$0.019&0.0003$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-1}$&0.970$\pm$0.011&1.061$\pm$0.029&1.058$\pm$0.027&0.0002$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-2}$&0.966$\pm$0.013&1.059$\pm$0.021&1.056$\pm$0.024&0.0006$\pm$0.0004\\[NEWLINE]&$\lambda=10^{-3}$&0.959$\pm$0.016&1.069$\pm$0.020&1.058$\pm$0.018&0.0024$\pm$0.0013\\[NEWLINE]&$\lambda=10^{-4}$&0.967$\pm$0.019&1.079$\pm$0.025&1.072$\pm$0.031&0.0037$\pm$0.0025\\\cline{2-6}[NEWLINE]&\tabincell{c}{NoHeredity\\$\lambda=10^{0}$}&1.008$\pm$0.010&1.054$\pm$0.019&1.045$\pm$0.022&0.0002$\pm$0.0001\\\hline\hline[NEWLINE]\end{tabular} + Normed ED: 0.46735905044510384 +Prediction: \begin{tabular}{c|ccc}[NEWLINE] \hline[NEWLINE] Model&TrainAUC&ValAUC&TestAUC&ClarityLos\\[NEWLINE] \hline[NEWLINE] %GBOst&97.38$\pm$0.09&93.24$\pm$0.52&93.01$\pm$0.26&-\\%GBOmegaL/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L/L + Answer: \begin{tabular}{c|c|cccc}[NEWLINE]\hline[NEWLINE]\multicolumn{2}{c|}{Model}&TrainAUC&ValAUC&TestAUC&ClarityLoss\\\hline[NEWLINE]\multicolumn{2}{c|}{XGBoost}&97.38$\pm$0.09&93.24$\pm$0.52&93.01$\pm$0.26&-\\[NEWLINE]\multicolumn{2}{c|}{RF}&93.59$\pm$0.10&92.01$\pm$0.62&91.98$\pm$0.35&-\\[NEWLINE]\multicolumn{2}{c|}{MLP}&93.15$\pm$0.65&93.12$\pm$0.90&92.29$\pm$0.41&-\\\multicolumn{2}{c|}{GLM}&90.81$\pm$0.21&90.77$\pm$0.47&90.60$\pm$0.30&-\\[NEWLINE]\multicolumn{2}{c|}{pyGAM}&91.90$\pm$0.17&91.68$\pm$0.39&91.53$\pm$0.36&-\\[NEWLINE]\multicolumn{2}{c|}{EBM}&94.59$\pm$0.16&94.63$\pm$0.40&93.16$\pm$0.31&1.0228$\pm$0.0755\\\hline[NEWLINE]\multirow{10}{*}{\shortstack{G\\A\\M\\I\\N\\E\\T}}&$\lambda=10^{0}$&92.15$\pm$0.42&92.08$\pm$0.46&91.85$\pm$0.42&0.0015$\pm$0.0016\\[NEWLINE]&$\lambda=8\times10^{-1}$&92.38$\pm$0.43&92.30$\pm$0.42&92.09$\pm$0.40&0.0018$\pm$0.0022\\[NEWLINE]&$\lambda=6\times10^{-1}$&92.74$\pm$0.17&92.67$\pm$0.44&92.42$\pm$0.30&0.0038$\pm$0.0022\\[NEWLINE]&$\lambda=4\times10^{-1}$&93.01$\pm$0.17&92.91$\pm$0.48&92.65$\pm$0.36&0.0052$\pm$0.0038\\[NEWLINE]&$\lambda=2\times10^{-1}$&93.46$\pm$0.23&93.25$\pm$0.44&93.04$\pm$0.31&0.0112$\pm$0.0044\\[NEWLINE]&$\lambda=10^{-1}$&93.94$\pm$0.23&93.52$\pm$0.41&93.33$\pm$0.39&0.0284$\pm$0.0138\\[NEWLINE]&$\lambda=10^{-2}$&94.22$\pm$0.20&93.53$\pm$0.38&93.38$\pm$0.33&0.0737$\pm$0.0255\\[NEWLINE]&$\lambda=10^{-3}$&94.25$\pm$0.15&93.54$\pm$0.40&93.36$\pm$0.32&0.3733$\pm$0.0785\\[NEWLINE]&$\lambda=10^{-4}$&94.19$\pm$0.26&93.52$\pm$0.42&93.34$\pm$0.30&1.5088$\pm$0.2752\\[NEWLINE]\cline{2-6}[NEWLINE]&\tabincell{c}{NoHeredity\\$\lambda=10^{-1}$}&93.94$\pm$0.23&93.51$\pm$0.41&93.33$\pm$0.40&0.0305$\pm$0.0166\\\hline\hline[NEWLINE]\end{tabular} + Normed ED: 0.90099589923843 \ No newline at end of file diff --git a/Prediction_epoch_30 b/Prediction_epoch_30 new file mode 100644 index 0000000000000000000000000000000000000000..451a77b0909b6514cbbdfb90a3876fb4fba2ea17 --- /dev/null +++ b/Prediction_epoch_30 @@ -0,0 +1,30 @@ +Prediction: \begin{tabular}{cccccc}[NEWLINE] \toprule[NEWLINE] Network&\#Users&\#Edges&\#Posts&\#Anchors&\#ShareedEdges\\[NEWLINE] Doublen&9734&260467&10941957&2\!\midrule[NEWLINE] \multirow{1-4}{Weibo}&9514&196978&379357&\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{end{tabular}[c]{c]{c]{Theta}\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{@{\bfDouban}&9734&260467&10941957&2\!\midrule[NEWLINE] \multirow{1-4}{Weibo}&9514&196978&379357&\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{Translation}[c]{\bfOtherisaすることは[NEWLINE] \end{tabular}[c]{end{tabular}[c]{\bfOtherisa前景}}\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{Network}[c]{\bfOtherisaすることは[NEWLINE] \end{tabular}[c]{Network}[c]{\bfDouban}&9734&260467&10941957&2\!\midrule[NEWLINE] \multirow{1-4}{Weibo}&9514&196978&379357&\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{end{tabular}[c]{\bfOtherisa \end{tabular}[c]{\bfOtherisa[NEWLINE] \end{tabular}[c]{end{tabular}[c]{\bfOtherisa[NEWLINE] \end{tabular}[c]{end{tabular}[c]{\bfOtherisa[NEWLINE] \end{tabular}[c]{$\intremoving}[c]{$\theta}end{tabular}[c]{$\bfOtherisa[NEWLINE] \end{tabular}[c]{$\intRuleft(r}{\bfOtheration}}}\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{Duban}&9734&260467&10941957&2\!\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{Dubeye}[c]{\bfOtheration}&97.3&97.33\\[NEWLINE] \bottomrule[NEWLINE] \end{tabular}[c]{8}{\bfOtheration}&97.\\[NEWLINE] \end{tabular}[c]{8}{\bfOtheration}&97.\\[NEWLINE] \end{tabular}[c]{8}{\bfOtheringour}&97.\\[NEWLINE] \end{tabular}[c]{8}{\bfOtheration}&97.8&97.35\ + Answer: \begin{tabular}{cccccc}[NEWLINE]\toprule[NEWLINE]Network&\#Users&\#Edges&\#Posts&\#Anchors&\#SharedEdges\\[NEWLINE]\midrule[NEWLINE]Douban&9734&260467&10941957&\multirow{2}[4]{*}{9514}&\multirow{2}[4]{*}{55207}\\[NEWLINE]\cmidrule{1-4}Weibo&9514&196978&3799357&&\\[NEWLINE]\bottomrule[NEWLINE]\end{tabular} + Normed ED: 0.8122555410691004 +Prediction: \begin{tabular}{|p{8cm}|}[NEWLINE] \hline[NEWLINE] \bfseries&\bfseriesPA\\[NEWLINE] \hline[NEWLINE] HybridGreedyAlgorithm&GA\\[NEWLINE] \hline[NEWLINE] SimplexVRPAIgorithm&IH\\[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{neguingteasurefootnotesize}[NEWLINE] \bfseries2years&Hys\\[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{neguinglearningfootnotesize}[NEWLINE] \hline[NEWLINE] SimplexVRPalgorithm&SVA\\[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{neguingthatevery}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{neguingthatevery}[NEWLINE] \hline[NEWLINE][NEWLINE] \end{tabular}[c]{neguingthatevery}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{neguingthatsimultaneous}[NEWLINE] \hline[NEWLINE][NEWLINE] \end{tabular}[c]{neguingmeans}[NEWLINE] \hline[NEWLINE][NEWLINE] \end{tabular}[c]{neguingthatevery}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{SimplexVRPalgorithm}[NEWLINE] \end{tabular}[c]{neguingthatevery}[NEWLINE][NEWLINE] \hline[NEWLINE] \end{tabular}[c]{SimplexVRPalgorithm}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{SimplexVRPalgorithm}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{SimplexVRPalgorithm}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{SimplexVRPalgorithm}[NEWLINE] \end{tabular}[c]{Simplesarey}[NEWLINE] \end{tabular}[c]{SimplesareyAgainsthetically}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{Simplesare\end{tabular}[c]{Simplesare\end{tabular}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{Simplesave}[NEWLINE] \end{tabular}[c]{Simplesave}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{end{tabular}[c]{equire}[NEWLINE] \end{tabular}[c]{c]{resoursareNonext}[NEWLINE] \end{tabular}[c]{c]{equire}[NEWLINE] \end{tabular}[c]{equire}[NEWLINE] \end{tabular}[c]{Simplesavency}[NEWLINE] \end{tabular}[c]{c]{Simplesave}[NEWLINE] \end{tabular}[c]{repuingthat}[NEWLINE] \hline[NEWLINE] \end{tabular}[c]{e]{Simplexvertical}[NEWLINE] \hline[NEWLINE] + Answer: \begin{tabular}{|l|l|}[NEWLINE]\hline[NEWLINE]{\bfAlgorithmName}&{\bfAbbrevation}\\\hline[NEWLINE]BruteForceAlgorithm&BFA\\\hline[NEWLINE]GreedyAlgorithm&GA\\\hline[NEWLINE]IntlinprogHeuristic&IH\\\hline[NEWLINE]HybridGreedyAlgorithm&HGA\\\hline[NEWLINE]SimplexVRPAlgorithm&SVA\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.8594091903719913 +Prediction: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}[NEWLINE] \hline[NEWLINE] Cases&Time&Fuel&Time&Fuel&Time&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE] \hline[NEWLINE] 3\_{\-1}}[NEWLINE] &3,53&14,12&0.00&-&0.00&16,55&1,00&16,55&0.00&16,55\\\hline[NEWLINE] 3\_{3}[NEWLINE] &3,36&17,18&0.00&17,18&0.00&17,18&1,00&17,18&0.00&17,18\\\hline[NEWLINE] 3\_{3}&3,31&15,84&0.00&22,78&0.00&22,78&1,00&15,84&0.00&15,84\\\hline[NEWLINE] 3\_{3}&3,46&13,28&0.00&-&0.00&27,06&1/01&13,28&0.00&13,28\\\hline[NEWLINE] 3\_{5}&3,44&16,11&0.00&-&0.00&16,11&1,00&16,11&0.00&16,11\\\hline[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \hline[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] + Answer: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}[NEWLINE]\hline[NEWLINE]{\bf}&\multicolumn{2}{l|}{{\bfBFA}}&\multicolumn{2}{l|}{{\bfGA}}&\multicolumn{2}{l|}{{\bfIH}}&\multicolumn{2}{l|}{{\bfHGA}}&\multicolumn{2}{l|}{{\bfSVA}}\\\hline[NEWLINE]Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE]3\_1&3,53&14,12&0,00&\multicolumn{1}{c|}{-}&0,00&16,55&1,00&16,55&0,00&16,55\\\hline[NEWLINE]3\_2&3,36&17,18&0,00&17,18&0,00&17,18&1,00&17,18&0,00&17,18\\\hline[NEWLINE]3\_3&3,31&15,84&0,00&22,78&0,00&22,78&1,00&15,84&0,00&15,84\\\hline[NEWLINE]3\_4&3,46&13,28&0,00&\multicolumn{1}{c|}{-}&0,00&27,06&1,01&13,28&0,00&13,28\\\hline[NEWLINE]3\_5&3,44&16,11&0,00&\multicolumn{1}{c|}{-}&0,00&16,11&1,00&16,11&0,00&16,11\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.8322818086225027 +Prediction: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}[NEWLINE] \hline[NEWLINE] Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE] 5\_{\-1}&288,55&16,07&0.00&30,06&0.00&24,63&5,38&-&0.00&24,63\\\hline[NEWLINE] 5\_{2}&285,36&20,18&0.00&20,18&0.00&20,18&0.00&20,18\\\hline[NEWLINE] 5\_{3}&295,50&18,84&0.00&25,78&0.00&25,78&5,45&18,84&0.00&25,78\\\hline[NEWLINE] 5\_{5-4}&290,00&18,88&0.00&30,06&0.00&31,87&5,40&20,52&0.00&31,87\\\hline[NEWLINE] 5\_{5-5}&287,46&18,84&0.00&30,02&0.00&18,84&5,39&18,84&0.00&18,84\\\hline[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] + Answer: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}[NEWLINE]\hline[NEWLINE]{\bf}&\multicolumn{2}{l|}{{\bfBFA}}&\multicolumn{2}{l|}{{\bfGA}}&\multicolumn{2}{l|}{{\bfIH}}&\multicolumn{2}{l|}{{\bfHGA}}&\multicolumn{2}{l|}{{\bfSVA}}\\\hline[NEWLINE]Cases&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel&Time&Fuel\\\hline[NEWLINE]5\_1&288,55&16,07&0,00&30,06&0,00&24,63&5,38&\multicolumn{1}{c|}{-}&0,00&24,63\\\hline[NEWLINE]5\_2&285,36&20,18&0,00&20,18&0,00&20,18&5,36&20,18&0,00&20,18\\\hline[NEWLINE]5\_3&295,50&18,84&0,00&25,78&0,00&25,78&5,45&18,84&0,00&25,78\\\hline[NEWLINE]5\_4&290,00&18,88&0,00&30,06&0,00&31,87&5,40&20,52&0,00&31,87\\\hline[NEWLINE]5\_5&287,46&18,84&0,00&30,02&0,00&18,84&5,39&18,84&0,00&18,84\\\hline[NEWLINE]\end{tabular} + Normed ED: 0.8339622641509434 +Prediction: \begin{tabular}{l|c|cccc}[NEWLINE] \hline[NEWLINE] Model&TrainRMSE&ValRMSE&TestRMSE&ClarityLoss\\[NEWLINE] \hline[NEWLINE] $XGBoost&0.135$\pm$0.103&\bfseries163$\pm$0.046&\bfseries163$\pm$0.013&-\\[NEWLINE] RF&1.500$\pm$0.019&\bfseries184$\pm$0.050&\bfseries182$\pm$0.043&-\\[NEWLINE] MLP&2.320$\pm$0.076&2.37$\pm$0.119&\bfseries2$\pm$0.057&-\\[NEWLINE] GLM&3.062$\pm$0.039&3.13/$\pm$0.094&3.103$\pm$0.065&-\\[NEWLINE] pvGAM&2.253$\pm$0.025&2.459$\pm$0.057&2.4050$\pm$0.046&-\\[NEWLINE] EBM&1.155$\pm$0.157&1.211$\pm$0.165&\bfseries1,799$\bfseries0.132&0.0007$\pm$0.0001\\[NEWLINE] \hline[NEWLINE] $G$&\\[NEWLINE] M&\\\[NEWLINE] I&\\[NEWLINE] N&\\[NEWLINE] \hline[NEWLINE] $6$^*$T$&$\lambda=10$^{0}$&$0.999$\pm$0.012$&$.053$\pm$0.023$&$.044$\pm$0.019$&$0.0003$\pm$0.0001$\\[NEWLINE] &$\lambda=10$^{-1}$&$0.970$\pm$0.011$&$\bf{061}}$\pm$0.029$&$\bf{058}}$\pm$0.027$&$0.0003$\pm$0.0001$\\[NEWLINE] &$\lambda=10$^{-2}$&$0.966$\pm$0.013$&$\bf{059}}$\bf{021}}$&$\bf{021}}$&$\bf{021}}$\\[NEWLINE] &$\lambda=10$^{-3}$&$0.959$\pm$0.016$&$\bf{069}}$\bf{0.020}}$&$\bf{0.058}}$\bf{0.018}}$\bf{0.0024\pm$0.0013$\\[NEWLINE] &$\lambda=10^{-4}$&$0.967$\pm$0.019$&$.079$\pm$0.025$&$\bf{021}}$\bf{0.031}}$\bf{0.037$\pm$0.0025$\\[NEWLINE] \hline[NEWLINE] \end{tabular}[NEWLINE] \hline[NEWLINE] + Answer: \begin{tabular}{c|c|cccc}[NEWLINE]\hline[NEWLINE]\multicolumn{2}{c|}{Model}&TrainRMSE&ValRMSE&TestRMSE&ClarityLoss\\\hline[NEWLINE]\multicolumn{2}{c|}{XGBoost}&0.135$\pm$0.103&1.630$\pm$0.046&1.634$\pm$0.013&-\\[NEWLINE]\multicolumn{2}{c|}{RF}&1.500$\pm$0.019&1.840$\pm$0.060&1.822$\pm$0.043&-\\[NEWLINE]\multicolumn{2}{c|}{MLP}&2.320$\pm$0.076&2.372$\pm$0.119&2.615$\pm$0.057&-\\[NEWLINE]\multicolumn{2}{c|}{GLM}&3.062$\pm$0.039&3.123$\pm$0.094&3.103$\pm$0.065&-\\[NEWLINE]\multicolumn{2}{c|}{pyGAM}&2.253$\pm$0.025&2.459$\pm$0.057&2.450$\pm$0.046&-\\[NEWLINE]\multicolumn{2}{c|}{EBM}&1.155$\pm$0.157&1.211$\pm$0.165&1.799$\pm$0.132&0.0007$\pm$0.0001\\\hline[NEWLINE]\multirow{6}{*}{\shortstack{G\\A\\M\\I\\N\\E\\T}}&$\lambda=10^{0}$&0.999$\pm$0.012&1.053$\pm$0.023&1.044$\pm$0.019&0.0003$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-1}$&0.970$\pm$0.011&1.061$\pm$0.029&1.058$\pm$0.027&0.0002$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-2}$&0.966$\pm$0.013&1.059$\pm$0.021&1.056$\pm$0.024&0.0006$\pm$0.0004\\[NEWLINE]&$\lambda=10^{-3}$&0.959$\pm$0.016&1.069$\pm$0.020&1.058$\pm$0.018&0.0024$\pm$0.0013\\[NEWLINE]&$\lambda=10^{-4}$&0.967$\pm$0.019&1.079$\pm$0.025&1.072$\pm$0.031&0.0037$\pm$0.0025\\\cline{2-6}[NEWLINE]&\tabincell{c}{NoHeredity\\$\lambda=10^{0}$}&1.008$\pm$0.010&1.054$\pm$0.019&1.045$\pm$0.022&0.0002$\pm$0.0001\\\hline\hline[NEWLINE]\end{tabular} + Normed ED: 0.4332344213649852 +Prediction: \begin{tabular}{l|cccccc}[NEWLINE] \hline[NEWLINE] Model&TrainAUC&ValAUC&TestAUC&ClarityLoss\\[NEWLINE] \hline[NEWLINE] XGBoost&97.38$\pm$0.09&93.24$\pm$0.52&93.01$\pm$0.26&-\\[NEWLINE] RF&93.59$\pm$0.10&92.01$\pm$0.62&91.98$\pm$0.35&-\\[NEWLINE] MLP&93.15$\pm$0.65&93.12$\pm$0.90&92.29$\pm$0.41&-\\[NEWLINE] GLM&90.81$\pm$0.21&90.77$\pm$0.47&90.60$\pm$0.30&-\\[NEWLINE] pyCAM&91.90$\pm$0.17&91.68$\pm$0.39&91.53$\pm$0.36&-\\[NEWLINE] EBM&94.59$\pm$0.16&94.63$\pm$0.40&93.16$\pm$0.31&1.228$\pm$0.0755\\[NEWLINE] \hline[NEWLINE] A&\\[NEWLINE] M&\\[NEWLINE] I&\\[NEWLINE] N&\\[NEWLINE] 10$^*$T$&$\lambda=10^0$&92.15$\pm$0.42&92.08$\pm$0.46&91.85$\pm$0.42&0.0015$\pm$0.0016\\[NEWLINE] &$\lambda=8$\times10^{-1}$&92.38$\pm$0.43&92.30$\pm$0.42&92.09$\pm$0.40&0.0018$\pm$0.0022\\[NEWLINE] $\lambda=6$\times10^{-1}$&92.74$\pm$0.17&92.67$\pm$0.44&92.42$\pm$0.30&0.0038$\pm$0.0022\\[NEWLINE] $\lambda=4$\times10^{-1}$&93.01$\pm$0.17&92.91$\pm$0.48&92.65$\pm$0.36&0.0052$\pm$0.0038\\[NEWLINE] $\lambda=2$\times10^{-1}$&93.46$\pm$0.23&93.25$\pm$0.44&93.04$\pm$0.31&0.112$\pm$0.0044\\[NEWLINE] $\lambda=10^{-1}$&93.94$\pm$0.23&93.52$\pm$0.41&93.33$\pm$0.39&0.284$\pm$0.0138\\[NEWLINE] $\lambda=10^{-3}$&94.25$\pm$0.15&93.54$\pm$0.40&93.36$\pm$0.32&0.3733$\pm$0.0785\\[NEWLINE] $\lambda=10^{-4} + Answer: \begin{tabular}{c|c|cccc}[NEWLINE]\hline[NEWLINE]\multicolumn{2}{c|}{Model}&TrainAUC&ValAUC&TestAUC&ClarityLoss\\\hline[NEWLINE]\multicolumn{2}{c|}{XGBoost}&97.38$\pm$0.09&93.24$\pm$0.52&93.01$\pm$0.26&-\\[NEWLINE]\multicolumn{2}{c|}{RF}&93.59$\pm$0.10&92.01$\pm$0.62&91.98$\pm$0.35&-\\[NEWLINE]\multicolumn{2}{c|}{MLP}&93.15$\pm$0.65&93.12$\pm$0.90&92.29$\pm$0.41&-\\\multicolumn{2}{c|}{GLM}&90.81$\pm$0.21&90.77$\pm$0.47&90.60$\pm$0.30&-\\[NEWLINE]\multicolumn{2}{c|}{pyGAM}&91.90$\pm$0.17&91.68$\pm$0.39&91.53$\pm$0.36&-\\[NEWLINE]\multicolumn{2}{c|}{EBM}&94.59$\pm$0.16&94.63$\pm$0.40&93.16$\pm$0.31&1.0228$\pm$0.0755\\\hline[NEWLINE]\multirow{10}{*}{\shortstack{G\\A\\M\\I\\N\\E\\T}}&$\lambda=10^{0}$&92.15$\pm$0.42&92.08$\pm$0.46&91.85$\pm$0.42&0.0015$\pm$0.0016\\[NEWLINE]&$\lambda=8\times10^{-1}$&92.38$\pm$0.43&92.30$\pm$0.42&92.09$\pm$0.40&0.0018$\pm$0.0022\\[NEWLINE]&$\lambda=6\times10^{-1}$&92.74$\pm$0.17&92.67$\pm$0.44&92.42$\pm$0.30&0.0038$\pm$0.0022\\[NEWLINE]&$\lambda=4\times10^{-1}$&93.01$\pm$0.17&92.91$\pm$0.48&92.65$\pm$0.36&0.0052$\pm$0.0038\\[NEWLINE]&$\lambda=2\times10^{-1}$&93.46$\pm$0.23&93.25$\pm$0.44&93.04$\pm$0.31&0.0112$\pm$0.0044\\[NEWLINE]&$\lambda=10^{-1}$&93.94$\pm$0.23&93.52$\pm$0.41&93.33$\pm$0.39&0.0284$\pm$0.0138\\[NEWLINE]&$\lambda=10^{-2}$&94.22$\pm$0.20&93.53$\pm$0.38&93.38$\pm$0.33&0.0737$\pm$0.0255\\[NEWLINE]&$\lambda=10^{-3}$&94.25$\pm$0.15&93.54$\pm$0.40&93.36$\pm$0.32&0.3733$\pm$0.0785\\[NEWLINE]&$\lambda=10^{-4}$&94.19$\pm$0.26&93.52$\pm$0.42&93.34$\pm$0.30&1.5088$\pm$0.2752\\[NEWLINE]\cline{2-6}[NEWLINE]&\tabincell{c}{NoHeredity\\$\lambda=10^{-1}$}&93.94$\pm$0.23&93.51$\pm$0.41&93.33$\pm$0.40&0.0305$\pm$0.0166\\\hline\hline[NEWLINE]\end{tabular} + Normed ED: 0.3339191564147627 +Prediction: \begin{tabular}{lcccccc}[NEWLINE] \hline[NEWLINE] Model&TrainRMSE&ValRMSE&TestRMSE&ClarityLoss\\[NEWLINE] \hline[NEWLINE] XGBoost&5.64$\pm$4.52&40.96$\pm$1.17&42.33$\pm$0.72&-\\[NEWLINE] RF&62.00$\pm$0.72&65.12$\pm$1.47&65.69$\pm$2.10&-\\[NEWLINE] MLP&35.54$\pm$1.37&37.09$\pm$1.52&43.35$\pm$1.32&-\\[NEWLINE] GLM&158.98$\pm$0.52&158.54$\pm$2.49&159.09$\pm$1.57&-\\[NEWLINE] pyCAM&99.52$\pm$0.60&100.16$\pm$1.16&10.22$\pm$1.12&-\\[NEWLINE] EBM&54.32$\pm$0.55&54.27$\pm$0.99&57.48$\pm$1.20&0.0026$\pm$0.0005\\[NEWLINE] \hline[NEWLINE] A&&&&&&&\\[NEWLINE] M&&&&&&&\\[NEWLINE] I&&&&&&\\[NEWLINE] N&&&&&&&&\\[NEWLINE] 10$^*$T$&$\lambda=10^0$&52.93$\pm$0.80&55.02$\pm$1.23&55.81$\pm$1.13&0.0005$\pm$0.001\\[NEWLINE] &$\lambda=8$\times10^{-1}$&52.12$\pm$0.93&54.45$\pm$1.23&54.99$\pm$.00&0.0005$\pm$0.001\\[NEWLINE] &$\lambda=6$\times10^{-1}$&51.26$\pm$0.80&53.63$\pm$1.10&54.27$\pm$.05&0.0006$\pm$\\[NEWLINE] &$\lambda=4$\times10^{-1}$&50.84$\pm$\pm$0.76&53.31$\pm$0.03&53.91$\pm$\pm$0.13&0.007$\pm$0.0002\\[NEWLINE] &$\lambda=2$\times10^{-1}$&50.21$\pm$0.96&52.98$\pm$1.32&53.47$\pm$1.19&0.007$\pm$0.001\\[NEWLINE] &$\lambda=10^{-1}$&50.26$\pm$1.33&53.38$\pm$\pm$1.55&53.68$\pm$0.03\\[NEWLINE] &$\lambda=10^{-3}$&50.22$\pm$0.95&53.08$\pm$1.53&53.71$\pm$0.07&0.0050$\pm$0.003\\[NEWLINE] &$\lambda=10^{-4}$ + Answer: \begin{tabular}{c|c|cccc}[NEWLINE]\hline[NEWLINE]\multicolumn{2}{c|}{Model}&TrainRMSE&ValRMSE&TestRMSE&ClarityLoss\\\hline[NEWLINE]\multicolumn{2}{c|}{XGBoost}&5.64$\pm$4.52&40.96$\pm$1.17&42.33$\pm$0.72&-\\[NEWLINE]\multicolumn{2}{c|}{RF}&62.00$\pm$0.72&65.12$\pm$1.47&65.69$\pm$2.10&-\\[NEWLINE]\multicolumn{2}{c|}{MLP}&35.54$\pm$1.31&37.09$\pm$1.52&43.35$\pm$1.32&-\\[NEWLINE]\multicolumn{2}{c|}{GLM}&158.98$\pm$0.52&158.54$\pm$2.49&159.09$\pm$1.57&-\\[NEWLINE]\multicolumn{2}{c|}{pyGAM}&99.52$\pm$0.60&100.16$\pm$1.61&100.22$\pm$1.12&-\\[NEWLINE]\multicolumn{2}{c|}{EBM}&54.32$\pm$0.55&54.27$\pm$0.99&57.48$\pm$1.20&0.0026$\pm$0.0005\\\hline[NEWLINE]\multirow{10}{*}{\shortstack{G\\A\\M\\I\\N\\E\\T}}&$\lambda=10^{0}$&52.93$\pm$0.80&55.02$\pm$1.23&55.81$\pm$1.13&0.0005$\pm$0.0001\\[NEWLINE]&$\lambda=8\times10^{-1}$&52.12$\pm$0.93&54.45$\pm$1.23&54.99$\pm$1.00&0.0005$\pm$0.0001\\[NEWLINE]&$\lambda=6\times10^{-1}$&51.26$\pm$0.80&53.63$\pm$1.11&54.27$\pm$1.05&0.0006$\pm$0.0001\\[NEWLINE]&$\lambda=4\times10^{-1}$&50.84$\pm$1.07&53.31$\pm$1.03&53.91$\pm$1.31&0.0007$\pm$0.0002\\[NEWLINE]&$\lambda=2\times10^{-1}$&50.21$\pm$0.96&52.98$\pm$1.32&53.47$\pm$1.19&0.0007$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-1}$&50.26$\pm$1.33&53.38$\pm$1.85&53.68$\pm$1.83&0.0007$\pm$0.0001\\[NEWLINE]&$\lambda=10^{-2}$&50.00$\pm$0.93&53.02$\pm$1.33&53.40$\pm$1.12&0.0014$\pm$0.0002\\[NEWLINE]&$\lambda=10^{-3}$&50.22$\pm$0.95&53.08$\pm$1.53&53.71$\pm$1.07&0.0050$\pm$0.0033\\[NEWLINE]&$\lambda=10^{-4}$&50.08$\pm$1.08&53.03$\pm$0.92&53.62$\pm$0.96&0.0137$\pm$0.0067\\\cline{2-6}[NEWLINE]&\tabincell{c}{NoHeredity\\$\lambda=10^{-1}$}&50.26$\pm$1.33&53.38$\pm$1.85&53.68$\pm$1.83&0.0007$\pm$0.0001\\\hline\hline[NEWLINE]\end{tabular} + Normed ED: 0.36814469078179696 +Prediction: \begin{tabular}{ccccccc}[NEWLINE] \toprule[b][NEWLINE] \toprule[b][NEWLINE] \multirow{2}{*}{s}&\multicolumn{2}{c}{B.F.(J/$\mu^\text{DPS}}}\equilon{$\sigma$\sigma$\phi)}}&\multicolumn{2}{c}{$\mathrm{J}/\text{VA}^{\text{K}\left(\times10^{-3})$}&\multicolumn{2}{c}{$\mathrm{J}/\text{n}}\toprule[b][NEWLINE] \midrule[bpt][NEWLINE] $N$(940)&-&21.87&14.56\\[NEWLINE] $N$(1520)&7.96&4.36&4.87\\[NEWLINE] $N$(1535)&7.58&0.85&2.55\\[NEWLINE] $N$(1650)&9.06&0.99&1.42\\[NEWLINE] \bottomrule[b][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \bottomrule[b][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] %\end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] %\end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE][NEWLINE] \end{tabular}[NEWLINE][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] %\end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE][NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] %\end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] \end{tabular}[NEWLINE] %\end{tabular}[NEWLINE] \end{tabular}[NEWLINE] + Answer: \begin{tabular}{cccc}[NEWLINE]\toprule[1pt][NEWLINE]\midrule[1pt][NEWLINE]$N^{*}$s&$\rm{B.F.}_{(J/\psi\rightarrow\bar{p}p\pi^{0})}$($\times10^{-5}$)&$g^{J/\psi\pi}_{N^{*}}$($\times10^{-3}$)&$g^{J/\psi\eta}_{N^{*}}$($\times10^{-3}$)\\[NEWLINE]\midrule[1pt][NEWLINE]$N(940)$&-&21.87&14.56\\[NEWLINE]$N(1520)$&7.96&4.36&4.87\\[NEWLINE]$N(1535)$&7.58&0.85&2.55\\[NEWLINE]$N(1650)$&9.06&0.99&1.42\\[NEWLINE]\midrule[1pt][NEWLINE]\bottomrule[1pt][NEWLINE]\end{tabular} + Normed ED: 0.8299531981279251 +Prediction: \begin{tabular}{crrc}[NEWLINE] \toprule[1.5pt][NEWLINE] \multicolumn{2}{c}{Reaction}&\multicolumn{2}{c}{Thiswork(pb)}&Ref.\cite{wei2018deep}(pb)&Ref.\cite{wei2018deep}(pb)&$E_{\star}$\\[NEWLINE] \midrule[\bf1.5pt][NEWLINE] $\psilon_{\text{DPS}(1386)\text{$\eta$)}&$\varphi$&$\parphi_{wei2018lear}{\textbf{job}}&$\SI{Ref.\cite{wan2012}}}(pb)&$\SI{E}_{\star}$\\[NEWLINE] \midrule[\bf1.5pt][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bfDPS/\text{k}\textbf{Reaction}}}&$\mp$&$\SI{Reduction}{\textbf{Chanically}\textbf{Relation}\textbf{Opto}}}\\[NEWLINE] \midrule[\bf1.5pt][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] %\cline{k-1}[NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] %\hline[NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf][NEWLINE] \end{tabular}[bf + Answer: \begin{tabular}{ccccccccc}[NEWLINE]\toprule[1.5pt][NEWLINE]\midrule[1pt][NEWLINE]Reaction&Thiswork(pb)&Ref.\cite{Lundborg:2005am}(pb)&Ref.\cite{Lin:2012ru}(pb)&$E_{cm}$\\[NEWLINE]\midrule[1pt][NEWLINE]$p\bar{p}\rightarrow\psi(3686)\eta$&23&$33\pm8$&9&5.38\\[NEWLINE]$p\bar{p}\rightarrowJ/\psi\eta$&56&$1520\pm140$&36&4.57\\[NEWLINE]\midrule[1pt][NEWLINE]\bottomrule[1.5pt][NEWLINE]\end{tabular} + Normed ED: 0.838371375694016 +Prediction: \begin{tabular}{lcccccccc}[NEWLINE] \hline[NEWLINE] Source&RA&Dec&V$\mathrm{L}_{SR}$&Distance&$\mathrm{T}_{\mathrm{ex}_{\mathrm{ex}_{\textrm{ex}_{\textrm{12}$CO})&$\mathrm{log}$(N$(H$))\\[NEWLINE] Name&(J2000)&(J2000)&(Kms-1)&(kpc)&(K)&(cm$\mathrm{-2}$)\\[NEWLINE] \hline[NEWLINE] G002.97+4.2&17:3:6:6.4&-24: 11:31&19.7&4.88&9.5&21.20\\[NEWLINE] G012.34-09\textrm{T}&18:12:5:3.7&-18: 17:01&34.2&3.35&14.6&22.25\\[NEWLINE] G012.72+0.69\textrm{T}&18:10:46.9&-17:34:15&17.3&\BE{19}&21.8&22.19\\[NEWLINE] G012.77-0.19\textrm{T}&18:1:08.2&-17: 57:04&35.6&3.38&33.0&23.13\\[NEWLINE] G012.82-0.19\textrm{T}&18: 13:3&-17:54:53&34.9&3.33&38.5&23.61\\[NEWLINE] G012.87-0.20\textrm{T}&18:4:22.1&-17:52:02&35.5&3.36&25.5&23.01\\[NEWLINE] G012.88-0.24\textrm{T}&18:4:32.4&-17:52.48&35.8&3.38&22.3&23.24\\[NEWLINE] G012.96-0.23\textrm{T}&18:4:39.6&-17:48:36&35.2&3.33&17.0&23.07\\[NEWLINE] G013.79-0.23\textrm{T}&18:6:9.5&-17:04:39&38.0&3.39&17.9&22.63\\[NEWLINE] G013.79-0.15\textrm{T}&18: 16:2.0&-16:53:02&40.2&3.50&19.9&22.65\\[NEWLINE] \hline[NEWLINE] \end{tabular}&HD&HD&11\\[NEWLINE] \hline[NEWLINE] \end{tabular}&HD&HD&11\\[NEWLINE] \hline[NEWLINE] \end{tabular}&111&42.6&&36.7&31.8&22.6&11.8&31.8\\[NEWLINE] \hline[NEWLINE] \end{tabular}&111.72&36.6&36.7&12.8&31.12&31.12&31.6&31.12\\[NEWLINE] \hline[NEWLINE] \end{tabular}&111.7&23.6&{12.7}&{14.7 + Answer: \begin{tabular}{ccccccc}[NEWLINE]\hline\noalign{\smallskip}[NEWLINE]Source&RA&Dec&V$_{LSR}$&Distance&T$_{ex}$($^{12}$CO)&log($N($H$_2))$\\[NEWLINE]Name&(J2000)&(J2000)&(kms$^{-1}$)&(kpc)&(K)&(cm$^{-2}$)\\[NEWLINE]\hline\noalign{\smallskip}[NEWLINE]%\endhead\noalign{\smallskip}[NEWLINE]%$^*$[NEWLINE]G002.97+4.22&17:36:36.4&-24:11:31&19.7&4.88&9.5&21.20\\[NEWLINE]G012.34-0.09$^\dagger$&18:12:53.7&-18:17:01&34.2&3.35&14.6&22.25\\[NEWLINE]G012.72+0.69$^\dagger$&18:10:46.9&-17:34:15&17.3&1.94&21.8&22.19\\[NEWLINE]G012.77-0.19$^\dagger$&18:14:08.2&-17:57:04&35.6&3.38&33.0&23.13\\[NEWLINE]G012.82-0.19$^\dagger$&18:14:13.3&-17:54:53&34.9&3.33&38.5&23.61\\[NEWLINE]G012.87-0.20$^\dagger$&18:14:22.1&-17:52:02&35.5&3.36&25.5&23.01\\[NEWLINE]G012.88-0.24$^\dagger$&18:14:32.4&-17:52:48&35.8&3.38&22.3&23.24\\[NEWLINE]G012.96-0.23$^\dagger$&18:14:39.6&-17:48:36&35.2&3.33&17.1&23.07\\[NEWLINE]G013.79-0.23$^\dagger$&18:16:19.5&-17:04:39&38.0&3.39&17.9&22.63\\[NEWLINE]G013.97-0.15$^\dagger$&18:16:22.0&-16:53:02&40.2&3.50&19.9&22.65\\[NEWLINE]\hline\noalign{\smallskip}[NEWLINE]\end{tabular} 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+{"file_name":"2003.07090_cohen_20200314_journal_table_0.png","ground_truth":"\\begin{tabular}{lccccl}[NEWLINE]\\hline\\hline[NEWLINE]Frequency\u0026R\u0026$\\Phi$\u0026$\\Psi$\\\\[NEWLINE]GHz\u0026\u0026(degr)\u0026(degr)\\\\\\hline[NEWLINE]8.35\u00260.95\u002610\u002690\\\\[NEWLINE]10.45\u00261.05\u002610\u002690\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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026\\hspace{0.05cm}$f_3$\u0026MGCV\u002689.8\u002692.4\u0026\\hspace{-0.1cm}91.8\u0026\\hspace{-0.15cm}91.6\u002690.0\u002688.8\u002689.8\u002692.4\u002689.6\\\\[NEWLINE]\\hline\\\\[NEWLINE]%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[NEWLINE]%%%%%%%%%%%%%%Binomial%%%%%%%%%%%%%%%%%[NEWLINE]%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_1$\u0026LPS\u002688.4\u0026\\hspace{0.05cm}94.0$^{*}$\u002689.2\u002693.0\u002691.0\u0026\\hspace{0.05cm}96.0$^{*}$\u002691.6\u002690.8\u002688.2\\\\[NEWLINE]%%%%%%%%%%%%%%%%LPSMAP%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_1$\u0026LPSMAP\u0026\\hspace{-0.11cm}87.6\u002693.0\u002687.6\u002692.8\u002690.6\u0026\\hspace{0.05cm}96.0$^{*}$\u0026\\hspace{-0.11cm}91.4\u002691.0\u002688.0\\\\[NEWLINE]%%%%%%%%%%%%%%%%MGCV%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_1$\u0026MGCV\u002688.6\u0026\\hspace{0.05cm}93.8$^{*}$\u002689.4\u0026\\hspace{0.05cm}93.4$^{*}$\u002690.6\u0026\\hspace{0.05cm}96.2$^{*}$\u002693.2\u002691.4\u002689.0\\\\[NEWLINE]%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom{}Binomial\u0026\\hspace{0.05cm}$f_2$\u0026LPS\u002689.8\u002692.6\u002686.8\u002690.8\u0026\\hspace{0.05cm}93.6$^{*}$\u002692.8\u002686.8\u002692.0\u0026\\hspace{0.05cm}84.2$^{*}$\\\\[NEWLINE]%%%%%%%%%%%%%%%%LPSMAP%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_2$\u0026LPSMAP\u0026\\hspace{-0.1cm}89.2\u002691.8\u0026\\hspace{0.08cm}85.4$^{*}$\u002690.2\u0026\\hspace{0.08cm}93.6$^{*}$\u002692.2\u002686.8\u002691.0\u0026\\hspace{0.05cm}83.8$^{*}$\\\\[NEWLINE]%%%%%%%%%%%%%%%%MGCV%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_2$\u0026MGCV\u002690.0\u0026\\hspace{0.05cm}94.4$^{*}$\u002687.6\u002692.2\u0026\\hspace{0.05cm}93.8$^{*}$\u002692.4\u002690.4\u002691.6\u002686.8\\\\[NEWLINE]%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026LPS\u002687.8\u002691.0\u002687.8\u002690.6\u002690.6\u002686.8\u002687.4\u002692.4\u002690.4\\\\[NEWLINE]%%%%%%%%%%%%%%%%LPSMAP%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026LPSMAP\u0026\\hspace{-0.1cm}87.6\u002690.6\u002687.2\u002689.8\u002690.6\u002686.6\u0026\\hspace{0.05cm}86.2$^{*}$\u002692.2\u002690.0\\\\[NEWLINE]%%%%%%%%%%%%%%%%MGCV%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026MGCV\u002688.6\u002691.0\u002689.4\u002691.8\u002689.8\u002689.4\u002689.4\u002692.6\u002690.6\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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hantom\u0026\\hspace{0.05cm}$f_2$\u0026MGCV\u0026\\hspace{-0.3cm}89.2\u0026\\hspace{-0.3cm}91.8\u0026\\hspace{-0.3cm}88.8\u0026\\hspace{-0.3cm}90.6\u0026\\hspace{-0.3cm}93.2\u0026\\hspace{-0.3cm}91.4\u0026\\hspace{-0.3cm}90.0\u0026\\hspace{-0.3cm}90.6\u0026\\hspace{-0.3cm}91.2\\\\[NEWLINE]%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026LPS\u0026\\hspace{-0.3cm}90.2\u0026\\hspace{-0.3cm}88.2\u002686.0$^{*}$\u0026\\hspace{-0.3cm}87.6\u0026\\hspace{-0.3cm}93.2\u002684.8$^{*}$\u002684.4$^{*}$\u0026\\hspace{-0.3cm}89.2\u0026\\hspace{-0.3cm}91.2\\\\[NEWLINE]%%%%%%%%%%%%%%%%LPSMAP%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026LPSMAP\u0026\\hspace{-0.3cm}90.4\u0026\\hspace{-0.3cm}87.8\u002684.8$^{*}$\u0026\\hspace{-0.3cm}87.2\u0026\\hspace{-0.3cm}93.0\u002683.8$^{*}$\u002683.0$^{*}$\u0026\\hspace{-0.3cm}89.2\u0026\\hspace{-0.3cm}90.6\\\\[NEWLINE]%%%%%%%%%%%%%%%%MGCV%%%%%%%%%%%%%%%%%[NEWLINE]\\vspace{0.1cm}[NEWLINE]\\vphantom\u0026\\hspace{0.05cm}$f_3$\u0026MGCV\u0026\\hspace{-0.3cm}90.8\u0026\\hspace{-0.3cm}88.6\u0026\\hspace{-0.3cm}89.6\u0026\\hspace{-0.3cm}91.4\u0026\\hspace{-0.3cm}92.2\u0026\\hspace{-0.3cm}88.6\u0026\\hspace{-0.3cm}87.0\u0026\\hspace{-0.3cm}90.2\u0026\\hspace{-0.3cm}91.2\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\\\\[NEWLINE]\\hline[NEWLINE]\\textbf{1}\u0026\\rf\u00260.238(0.163)\u0026\\rf\u00260.203(0.007)\u0026\\rf\u00260.199(0.039)\u0026\\rf\u00260.219(0.075)\u0026\\rf\u00260.213(0.108)\u0026\\rf\u00260.259(0.200)\\\\[NEWLINE]\\textbf{2}\u0026\\ses\u00260.247(0.144)\u0026\\mytheta\u0026\\underline{0.217}(0.026)\u0026\\ses\u00260.215(0.012)\u0026\\mytheta\u00260.220(0.097)\u0026\\mytheta\u0026\\underline{0.226}(0.098)\u0026\\damped\u0026\\underline{0.277}(0.150)\\\\[NEWLINE]\\textbf{3}\u0026\\mytheta\u00260.248(0.175)\u0026\\ses\u0026\\underline{0.218}(0.024)\u0026\\damped\u0026\\underline{0.216}(0.074)\u0026\\ses\u00260.233(0.098)\u0026\\ses\u0026\\underline{0.227}(0.100)\u0026\\ses\u0026\\underline{0.278}(0.151)\\\\[NEWLINE]\\textbf{4}\u0026\\damped\u00260.249(0.144)\u0026\\damped\u00260.219(0.022)\u0026\\mytheta\u0026\\underline{0.217}(0.042)\u0026\\damped\u00260.240(0.090)\u0026\\damped\u00260.229(0.098)\u0026\\mytheta\u00260.281(0.155)\\\\[NEWLINE]\\textbf{5}\u0026\\comb\u00260.250(0.148)\u0026\\comb\u00260.221(0.027)\u0026\\comb\u00260.219(0.016)\u0026\\comb\u00260.241(0.094)\u0026\\comb\u00260.231(0.054)\u0026\\comb\u00260.283(0.160)\\\\[NEWLINE]\\textbf{6}\u0026\\holt\u00260.260(0.162)\u0026\\holt\u00260.223(0.034)\u0026\\holt\u00260.222(0.036)\u0026\\holt\u00260.250(0.088)\u0026\\holt\u00260.238(0.119)\u0026\\holt\u00260.299(0.199)\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{13}{c}{\\textsc{flights}-$h$=90}\\\\[NEWLINE]\\hline[NEWLINE]\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\u0026\\multicolumn{1}{c}{\\textbf{model}}\u0026\\multicolumn{1}{c|}{\\textbf{sMAPE}}\\\\[NEWLINE]\\hline[NEWLINE]\\textbf{1}\u0026\\comb\u00260.174(0.102)\u0026\\comb\u00260.154(0.081)\u0026\\mytheta\u00260.160(0.067)\u0026\\comb\u00260.151(0.086)\u0026\\damped\u00260.159(0.073)\u0026\\ses\u0026\\underline{0.187}(0.110)\\\\[NEWLINE]\\textbf{2}\u0026\\damped\u00260.175(0.106)\u0026\\damped\u00260.155(0.076)\u0026\\comb\u00260.164(0.085)\u0026\\damped\u00260.161(0.086)\u0026\\comb\u00260.160(0.082)\u0026\\mytheta\u0026\\underline{0.188}(0.109)\\\\[NEWLINE]\\textbf{3}\u0026\\mytheta\u00260.176(0.105)\u0026\\mytheta\u0026\\underline{0.157}(0.042)\u0026\\holt\u00260.166(0.076)\u0026\\mytheta\u00260.163(0.087)\u0026\\mytheta\u0026\\underline{0.162}(0.086)\u0026\\damped\u0026\\underline{0.189}(0.110)\\\\[NEWLINE]\\textbf{4}\u0026\\ses\u00260.177(0.106)\u0026\\ses\u0026\\underline{0.158}(0.028)\u0026\\rf\u00260.174(0.066)\u0026\\holt\u00260.188(0.074)\u0026\\ses\u0026\\underline{0.163}(0.094)\u0026\\comb\u00260.190(0.112)\\\\[NEWLINE]\\textbf{5}\u0026\\holt\u00260.179(0.113)\u0026\\holt\u00260.159(0.036)\u0026\\ses\u00260.183(0.087)\u0026\\ses\u00260.212(0.070)\u0026\\holt\u00260.171(0.119)\u0026\\holt\u00260.195(0.118)\\\\[NEWLINE]\\textbf{6}\u0026\\rf\u00260.232(0.150)\u0026\\rf\u00260.200(0.025)\u0026\\damped\u00260.212(0.044)\u0026\\rf\u00260.287(0.083)\u0026\\rf\u00260.210(0.094)\u0026\\rf\u00260.207(0.137)\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07273_Data_set_description_Part_I_table_1.png","ground_truth":"\\begin{tabular}{c|c|c|c}[NEWLINE]\\multirow{1}{*}{Variable}\u0026\\multirow{1}{*}{Description}\u0026\\multirow{1}{*}{Datatype}\u0026\\multirow{1}{*}{Classification}\\\\\\hline\\hline[NEWLINE]$i_{\\mathrm{d},k}$\u0026measuredd-currentat$k$\u0026single\u0026\\multirow{5}{*}{inputs}\\\\[NEWLINE]$i_{\\mathrm{q},k}$\u0026measuredq-currentat$k$\u0026single\u0026\\\\[NEWLINE]$\\varepsilon_{k}$\u0026measuredrotationalangleat$k$\u0026single\u0026\\\\[NEWLINE]$n_k$\u0026element.vectorappliedat$k$\u0026integer\u0026\\\\[NEWLINE]$n_{k-1}$\u0026element.vectorappliedat$k\\!-\\!1$\u0026integer\u0026\\\\\\hline[NEWLINE]$i_{\\mathrm{d},k+1}$\u0026measuredd-currentat$k\\!+\\!1$\u0026single\u0026\\multirow{2}{*}{targets}\\\\[NEWLINE]$i_{\\mathrm{q},k+1}$\u0026measuredq-currentat$k\\!+\\!1$\u0026single\u0026\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07273_Data_set_description_Part_I_table_2.png","ground_truth":"\\begin{tabular}{l|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{IPMSM}\u0026\\multicolumn{2}{c}{BrusaHSM16.17.12-C01}\\\\[NEWLINE]Statorresistance\u0026$R_\\mathrm{s}$\u002618\\,m$\\Omega$\\\\[NEWLINE]Inductanceind-direction\u0026$L_\\mathrm{d}$\u0026\\SI{370}{\\micro\\henry}\\\\[NEWLINE]Inductanceinq-direction\u0026$L_\\mathrm{q}$\u0026\\SI{1200}{\\micro\\henry}\\\\[NEWLINE]Permanentmagnetflux\u0026$\\Psip$\u002666\\,mV\\,s\\\\[NEWLINE]Polepairnumber\u0026$p$\u00263\\\\\\hline[NEWLINE]\\textbf{Inverter}\u0026\\multicolumn{2}{c}{3$\\times$SKiiP1242GB120-4D}\\\\[NEWLINE]Typology\u0026\\multicolumn{2}{c}{voltagesourceinverter}\\\\[NEWLINE]\u0026\\multicolumn{2}{c}{2-level,IGBT}\\\\\\hline[NEWLINE]\\textbf{Controllerhardware}\u0026\\multicolumn{2}{c}{dSPACE}\\\\[NEWLINE]Processorboard\u0026\\multicolumn{2}{l}{DS1006MC,4cores,2.8\\,GHz}\\\\\\hline[NEWLINE]\\textbf{Measurementdevices}\u0026\\multicolumn{2}{c}{}\\\\[NEWLINE]Transientrecorder\u0026\\multicolumn{2}{c}{Yokogawa\\\\\\DL850}\\\\[NEWLINE]Poweranalyzer\u0026\\multicolumn{2}{c}{YokogawaWT3000}\\\\[NEWLINE]Currentprobes(zero-fluxtransducers)\u0026\\multicolumn{2}{l}{3$\\times$Yokogawa,500\\,A,2\\,MHz}\\\\[NEWLINE]Torquesensor\u0026\\multicolumn{2}{l}{\\\\\\\\\\,HBM,T10FS,2\\,kN\\,m}\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07280_main_table_0.png","ground_truth":"\\begin{tabular}{c|ccc}[NEWLINE]\\multirow{2}{*}{SpinsFlipped}\u0026Energy\u0026Energy\u0026Energy\\\\[NEWLINE]\u0026(MethodA)\u0026(MethodB)\u0026(MethodC)\\\\[NEWLINE]\\hline[NEWLINE]$\\sigma_8^y$\u0026-11.7335(5)\u0026-12.1070(51)\u0026-13.9146\\\\[NEWLINE]$\\sigma_9^y$\u0026-11.7474(5)\u0026-11.8873(57)\u0026-13.9146\\\\[NEWLINE]$\\sigma_8^x\\sigma_8^z$\u0026unrealizable\u0026-12.7447(37)\u0026-13.9146\\\\[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07284_paper_table_0.png","ground_truth":"\\begin{tabular}{lcccl}[NEWLINE]case\u0026$\\!\\!E\\!\\!$\u0026$\\!\\!B\\!\\!$\u0026$\\!\\!$view$\\!\\!$\u0026$\\!\\!$reference\\\\[NEWLINE]\\hline[NEWLINE]rotatingconvection$\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!$face-on$\\!\\!$\u0026$\\!\\!$BBKMRPS\\\\[NEWLINE]solaractiveregions$\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!+\\!\\!$\u0026$\\!\\!$face-on$\\!\\!$\u0026$\\!\\!$\\cite{Pra+20}\\\\[NEWLINE]Galaxy\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!$Sun$\\!\\!$\u0026$\\!\\!$BB20\\\\[NEWLINE]sphericaldynamo\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!$edge-on$\\!\\!$\u0026$\\!\\!$\\cite{Bra19}\\\\[NEWLINE]edge-ongalaxies\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!-\\!\\!$\u0026$\\!\\!$edge-on$\\!\\!$\u0026$\\!\\!$presentwork\\\\[NEWLINE]\\label{Texperience}\\end{tabular}"} 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+{"file_name":"2003.07288_blocking_table_0.png","ground_truth":"\\begin{tabular}[NEWLINE][c]{|c|c|}\\hline[NEWLINE]Binaryprocesses\u0026Tripleprocesses\\\\\\hline\\hline[NEWLINE]{M{\\o}ller,Bhabha}\u0026{Bremsstrahlung}\\\\[NEWLINE]{$e^{\\pm}{e^{\\pm\\prime}\\leftrightarrowe^{\\pm}}^{\\prime\\prime}$}${e^{\\pm}%[NEWLINE]}^{\\prime\\prime\\prime}$\u0026{$e^{\\pm}e^{\\pm\\prime}{\\leftrightarrow}e^{\\pm[NEWLINE]\\prime\\prime}e^{\\pm\\prime\\prime\\prime}\\gamma$}\\\\[NEWLINE]{$e^{\\pm}{e^{\\mp}\\leftrightarrowe^{\\pm\\prime}}$}${e^{\\mp}}^{\\prime}$\u0026[NEWLINE]{$e^{\\pm}e^{\\mp}{\\leftrightarrow}e^{\\pm\\prime}e{^{\\mp\\prime}}\\gamma$}\\\\\\hline[NEWLINE]Single{Compton}\u0026{DoubleCompton}\\\\[NEWLINE]{\\$e^{\\pm}\\gamma{\\leftrightarrow}e^{\\pm}\\gamma^{\\prime}$}\u0026{$e^{\\pm}%[NEWLINE]\\gamma{\\leftrightarrow}e^{\\pm\\prime}\\gamma^{\\prime}\\gamma^{\\prime\\prime}$%[NEWLINE]}\\\\\\hline[NEWLINE]{Pairproduction}\u0026Radiativepairproduction,\\\\[NEWLINE]andannihilation\u0026tripletproduction\\\\[NEWLINE]{}\u0026andthreephotonannihilation\\\\[NEWLINE]{$\\gamma\\gamma^{\\prime}{\\leftrightarrow}e^{\\pm}e^{\\mp}$}\u0026$\\gamma[NEWLINE]\\gamma^{\\prime}${${\\leftrightarrow}e^{\\pm}e^{\\mp}$}$\\gamma^{\\prime\\prime}$\\\\[NEWLINE]\u0026$e^{\\pm}\\gamma${${\\leftrightarrow}e^{\\pm\\prime}{e^{\\mp}}e^{\\pm\\prime\\prime}[NEWLINE]$}\\\\[NEWLINE]\u0026{$e^{\\pm}e^{\\mp}{\\leftrightarrow}\\gamma\\gamma^{\\prime}$}$\\gamma[NEWLINE]^{\\prime\\prime}$\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07288_blocking_table_1.png","ground_truth":"\\begin{tabular}[NEWLINE][c]{|l|l|l|l|}\\hline[NEWLINE]\u0026$(\\gamma\\gamma^{\\prime}${${\\leftrightarrow}e^{\\pm}e^{\\mp}$}$\\gamma[NEWLINE]^{\\prime\\prime})$\u0026$e^{\\pm}\\gamma${${\\leftrightarrow}e^{\\pm\\prime}{e^{\\mp}%[NEWLINE]}e^{\\pm\\prime\\prime}$}\u0026$e^{\\pm}\\gamma{\\leftrightarrow}e^{\\pm\\prime}%[NEWLINE]\\gamma^{\\prime}\\gamma^{\\prime\\prime}$\\\\\\hline\\hline[NEWLINE]$\\eta_{\\gamma}$\u0026$f_{\\gamma}f_{\\gamma}(1+f_{\\gamma})(1-f_{+})(1-f_{-})$\u0026[NEWLINE]$f_{\\pm}f_{+}f_{-}(1+f_{\\gamma})(1-f_{\\pm})$\u0026$f_{\\gamma}f_{\\pm}(1-f_{\\pm[NEWLINE]})(1+f_{\\gamma})(1+f_{\\gamma})$\\\\[NEWLINE]\u0026$f_{\\gamma}f_{+}f_{-}(1+f_{\\gamma})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\gamma[NEWLINE]}f_{\\gamma}(1-f_{\\pm})(1+f_{\\gamma})$\u0026\\\\\\hline[NEWLINE]$\\chi_{\\gamma}$\u0026$f_{\\gamma}f_{+}f_{-}(1+f_{\\gamma})(1+f_{\\gamma})$\u0026[NEWLINE]$f_{\\gamma}f_{\\pm}(1-f_{\\pm})(1-f_{+})(1-f_{-})$\u0026$f_{\\pm}f_{\\gamma}%[NEWLINE]f_{\\gamma}(1-f_{\\pm})(1+f_{\\gamma})$\\\\[NEWLINE]\u0026$f_{\\gamma}f_{\\gamma}(1+f_{\\gamma})(1-f_{+})(1-f_{-})$\u0026\u0026$f_{\\gamma[NEWLINE]}f_{\\pm}(1-f_{\\pm})(1+f_{\\gamma})(1+f_{\\gamma})$\\\\\\hline[NEWLINE]$\\eta_{\\pm}$\u0026$f_{\\gamma}f_{\\gamma}(1+f_{\\gamma})(1-f_{+})(1-f_{-})$\u0026[NEWLINE]$f_{\\gamma}f_{\\pm}(1-f_{\\pm})(1-f_{+})(1-f_{-})$\u0026$f_{\\gamma}f_{\\pm}%[NEWLINE](1-f_{\\pm})(1+f_{\\gamma})(1+f_{\\gamma})$\\\\[NEWLINE]\u0026\u0026$f_{\\pm}f_{+}f_{-}(1+f_{\\gamma})(1-f_{\\pm})$\u0026$f_{\\pm}f_{\\gamma[NEWLINE]}f_{\\gamma}(1-f_{\\pm})(1+f_{\\gamma})$\\\\\\hline[NEWLINE]$\\chi_{\\pm}$\u0026$f_{\\gamma}f_{+}f_{-}(1+f_{\\gamma})(1-f_{\\gamma})$\u0026$f_{\\pm[NEWLINE]}f_{+}f_{-}(1+f_{\\gamma})(1-f_{\\pm})$\u0026$f_{\\pm}f_{\\gamma}f_{\\gamma[NEWLINE]}(1-f_{\\pm})(1+f_{\\gamma})$\\\\[NEWLINE]\u0026\u0026$f_{\\gamma}f_{\\pm}(1-f_{\\pm})(1-f_{+})(1-f_{-})$\u0026$f_{\\gamma}f_{\\pm[NEWLINE]}(1-f_{\\pm})(1+f_{\\gamma})(1+f_{\\gamma})$\\\\\\hline\\hline[NEWLINE]\u0026$e^{\\pm}e^{\\pm\\prime}{\\leftrightarrow}e^{\\pm\\prime\\prime}e^{\\pm\\prime[NEWLINE]\\prime\\prime}\\gamma$\u0026{$e^{\\pm}e^{\\mp}{\\leftrightarrow}\\gamma\\gamma^{\\prime}[NEWLINE]$}$\\gamma^{\\prime\\prime}$\u0026\\\\\\hline\\hline[NEWLINE]$\\eta_{\\gamma}$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm})(1+f_{\\gamma})$\u0026[NEWLINE]$f_{+}f_{-}(1+f_{\\gamma})(1+f_{\\gamma})(1+f_{\\gamma})$\u0026\\\\\\hline[NEWLINE]$\\chi_{\\gamma}$\u0026$f_{\\pm}f_{\\pm}f_{\\gamma}(1-f_{\\pm})(1-f_{\\pm})$\u0026[NEWLINE]$f_{\\gamma}f_{\\gamma}f_{\\gamma}(1-f_{+})(1-f_{-})$\u0026\\\\\\hline[NEWLINE]$\\eta_{\\pm}$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm})(1+f_{\\gamma})$\u0026[NEWLINE]$f_{\\gamma}f_{\\pm}(1-f_{\\pm})(1-f_{+})(1-f_{-})$\u0026\\\\[NEWLINE]\u0026\u0026$f_{\\pm}f_{\\pm}f_{\\gamma}(1-f_{\\pm})(1-f_{\\pm})$\u0026\\\\\\hline[NEWLINE]$\\chi_{\\pm}$\u0026$f_{\\pm}f_{\\pm}f_{\\gamma}(1-f_{\\pm})(1-f_{\\pm})$\u0026$f_{+}f_{-}[NEWLINE](1+f_{\\gamma})(1+f_{\\gamma})(1+f_{\\gamma})$\u0026\\\\[NEWLINE]\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm})(1+f_{\\gamma})$\u0026\u0026\\\\\\hline\\hline[NEWLINE]\u0026$e^{\\pm}e^{\\mp}{\\leftrightarrow}\\gamma\\gamma^{\\prime}$\u0026$e^{\\pm}[NEWLINE]\\gamma{\\leftrightarrow}e^{\\pm\\prime}\\gamma^{\\prime}$\u0026$e^{\\pm}e^{\\pm[NEWLINE]}{\\leftrightarrow}e^{\\pm\\prime}e^{\\pm\\prime}$\\\\\\hline\\hline[NEWLINE]$\\eta_{\\gamma}$\u0026$f_{+}f_{-}(1+f_{\\gamma})(1+f_{\\gamma})$\u0026$f_{\\pm[NEWLINE]}f_{\\gamma}(1-f_{\\pm})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm}%[NEWLINE])$\\\\\\hline[NEWLINE]$\\chi_{\\gamma}$\u0026$f_{\\gamma}f_{\\gamma}(1-f_{+})(1-f_{-})$\u0026$f_{\\pm}%[NEWLINE]f_{\\gamma}(1-f_{\\pm})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm}%[NEWLINE])$\\\\\\hline[NEWLINE]$\\eta_{\\pm}$\u0026$f_{\\gamma}f_{\\gamma}(1-f_{+})(1-f_{-})$\u0026$f_{\\pm}f_{\\gamma[NEWLINE]}(1-f_{\\pm})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm})$\\\\\\hline[NEWLINE]$\\chi_{\\pm}$\u0026$f_{+}f_{-}(1+f_{\\gamma})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\gamma[NEWLINE]}(1-f_{\\pm})(1+f_{\\gamma})$\u0026$f_{\\pm}f_{\\pm}(1-f_{\\pm})(1-f_{\\pm})$\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07289_Main_table_1.png","ground_truth":"\\begin{tabular}{ccccccc}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\\small[NEWLINE]\\textbf{Scene}\u0026\\textbf{MapNet(V)}\u0026\\textbf{AtLoc(V)}\u0026\\textbf{VMLoc(V,D)}\\\\[NEWLINE]\\hline[NEWLINE]LOOP1\u0026$8.76m,3.46^{\\circ}$\u0026$8.61m,4.58^{\\circ}$\u0026$\\textbf{7.70m},\\textbf{3.23}^{\\circ}$\\\\[NEWLINE]LOOP2\u0026$9.84m,3.96^{\\circ}$\u0026$8.86m,4.67^{\\circ}$\u0026$\\textbf{7.76m},\\textbf{3.16}^{\\circ}$\\\\[NEWLINE][NEWLINE]FULL1\u0026$41.4m,12.5^{\\circ}$\u0026$29.6m,12.4^{\\circ}$\u0026$\\textbf{19.5m},\\textbf{4.32}^{\\circ}$\\\\[NEWLINE]FULL2\u0026$59.3m,14.8^{\\circ}$\u0026$48.2m,11.1^{\\circ}$\u0026$\\textbf{35.2m},\\textbf{8.99}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]Average\u0026$29.8m,8.68^{\\circ}$\u0026$23.8m,8.19^{\\circ}$\u0026$\\textbf{17.5m},\\textbf{4.92}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07289_Main_table_2.png","ground_truth":"\\begin{tabular}{ccccc}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\\textbf{Scene}\u0026\\tabincell{c}{\\textbf{image}\\\\\\textbf{VMLoc}}\u0026\\tabincell{c}{\\textbf{attention}\\\\\\textbf{VMLoc}}\u0026\\tabincell{c}{\\textbf{PoE}\\\\\\textbf{VMLoc}}\u0026\\textbf{VMLoc}\\\\[NEWLINE]\\hline[NEWLINE]LOOP1\u0026$8.60m,4.57^{\\circ}$\u0026$9.16m,4.96^{\\circ}$\u0026$8.57m,3.98^{\\circ}$\u0026$\\textbf{7.70m},\\textbf{3.23}^{\\circ}$\\\\[NEWLINE]LOOP2\u0026$8.50m,3.90^{\\circ}$\u0026$9.78m,5.66^{\\circ}$\u0026$8.99m,3.79^{\\circ}$\u0026$\\textbf{7.76m},\\textbf{3.16}^{\\circ}$\\\\[NEWLINE]FULL1\u0026$30.1m,10.8^{\\circ}$\u0026$31.2m,6.04^{\\circ}$\u0026$30.0m,7.54^{\\circ}$\u0026$\\textbf{19.5m},\\textbf{4.32}^{\\circ}$\\\\[NEWLINE]FULL2\u0026$48.1m,9.61^{\\circ}$\u0026$46.5m,10.1^{\\circ}$\u0026$45.9m,10.5^{\\circ}$\u0026$\\textbf{35.2m},\\textbf{8.99}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]Average\u0026$23.9m,7.22^{\\circ}$\u0026$19.3m,5.35^{\\circ}$\u0026$18.7m,5.16^{\\circ}$\u0026$\\textbf{17.5m},\\textbf{4.92}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07289_Main_table_3.png","ground_truth":"\\begin{tabular}{ccccc}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\\textbf{Corrupt.}\u0026[NEWLINE]\\tabincell{c}{\\textbf{AtLoc(V)}}\u0026\\tabincell{c}{\\textbf{attention}\\\\\\textbf{VMLoc}}\u0026\\tabincell{c}{\\textbf{PoE}\\\\\\textbf{VMLoc}}\u0026\\textbf{VMLoc}\\\\[NEWLINE]\\hline[NEWLINE]\\tabincell{c}{No}\u0026$48.2m,11.1^{\\circ}$\u0026$46.1m,9.50^{\\circ}$\u0026$45.8m,11.50^{\\circ}$\u0026$\\textbf{35.2m},\\textbf{8.99}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\noalign{\\smallskip}[NEWLINE]\\multicolumn{5}{c}{\\textit{RGB}}\\\\[NEWLINE]\\hline[NEWLINE]\\tabincell{c}{$lvl=1$}\u0026$314.3m,53.1^{\\circ}$\u0026$\\textbf{229.1m},\\textbf{46.7}^{\\circ}$\u0026$235.5m,41.5^{\\circ}$\u0026$241.9m,48.9^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\tabincell{c}{$lvl=2$}\u0026$-$\u0026$484.7m,85.8^{\\circ}$\u0026$478.0m,85.2^{\\circ}$\u0026$\\textbf{464.7m},\\textbf{85.5}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\noalign{\\smallskip}[NEWLINE]\\multicolumn{5}{c}{\\textit{LIDAR}}\\\\[NEWLINE]\\hline[NEWLINE]\\tabincell{c}{$lvl=1$}\u0026$-$\u0026$47.9m,9.6^{\\circ}$\u0026$49.7m,12.1^{\\circ}$\u0026$\\textbf{36.5m},\\textbf{8.95}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\tabincell{c}{$lvl=2$}\u0026$-$\u0026$53.9m,9.29^{\\circ}$\u0026$87.1m,36.3^{\\circ}$\u0026$\\textbf{38.7m},\\textbf{9.70}^{\\circ}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07290_tyc_v1_table_0.png","ground_truth":"\\begin{tabular}{@{}lccc@{}}[NEWLINE]\\hline[NEWLINE]BJD(TDB)\u0026Velocity\u0026Uncertainty\u0026Telescope/\\\\[NEWLINE](mid-exposure)\u0026(\\kms)\u0026(\\kms)\u0026instrument\\\\[NEWLINE]\\hline[NEWLINE]2456809.55612643\u00269.966\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456810.53044180\u00266.760\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456810.64079226\u00265.518\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456811.46154176\u00261.996\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456811.52899051\u00261.177\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456811.63107790\u00260.078\u00260.500\u0026DuPont/Echelle\\\\[NEWLINE]2456827.46756122\u0026-3.923\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456827.53633937\u0026-2.975\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456828.46953698\u002616.493\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456828.55232328\u002617.966\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456829.52614915\u002626.724\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456829.57929164\u002626.879\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456829.62074015\u002626.996\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456830.62692793\u002627.289\u00260.012\u0026MPG2.2/FEROS\\\\[NEWLINE]2456831.48604658\u002625.761\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456832.47118249\u002623.405\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456832.62146085\u002623.021\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456833.47375716\u002620.727\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456834.48096122\u002617.777\u00260.011\u0026MPG2.2/FEROS\\\\[NEWLINE]2456834.62990540\u002617.311\u00260.013\u0026MPG2.2/FEROS\\\\[NEWLINE]2456835.49422311\u002614.558\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2456835.62537693\u002614.135\u00260.012\u0026MPG2.2/FEROS\\\\[NEWLINE]2457000.81838345\u00266.481\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2457001.80957701\u00261.717\u00260.020\u0026MPG2.2/FEROS\\\\[NEWLINE]2457001.84002488\u00261.576\u00260.018\u0026MPG2.2/FEROS\\\\[NEWLINE]2457002.81549501\u0026-3.854\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2457003.81567332\u0026-7.157\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2457003.84959665\u0026-7.105\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2457004.79505517\u00265.728\u00260.013\u0026MPG2.2/FEROS\\\\[NEWLINE]2457004.84905627\u00267.003\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]2457386.82926372\u002625.034\u00260.010\u0026MPG2.2/FEROS\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07290_tyc_v1_table_1.png","ground_truth":"\\begin{tabular}{@{}lccc@{}}[NEWLINE]\\hline[NEWLINE]Parameter\u0026Value\u0026Error\u0026Unit\\\\[NEWLINE]\\hline[NEWLINE]Period\u002613.601486\u00260.000050\u0026Days\\\\[NEWLINE]Eccentricity\u00260.455\u00260.005\u0026-\\\\[NEWLINE]Argumentofperiastron\u0026-113.93\u00260.67\u0026Degrees\\\\[NEWLINE]Timeofperiastron\u00262456895.86756\u00260.00003\u0026BJD(TDB)\\\\[NEWLINE]RVsemi-amplitude\u002617.397\u00260.037\u0026\\kms\\\\[NEWLINE]Systemicvelocity\u002613.385\u00260.010\u0026\\kms\\\\[NEWLINE]Semi-majoraxis$^*$\u00260.113\u00260.001\u0026au\\\\[NEWLINE]Min.companionmass$^*$\u00260.200\u00260.005\u0026M$_\\odot$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07290_tyc_v1_table_2.png","ground_truth":"\\begin{tabular}{@{}lccc@{}}[NEWLINE]\\hline[NEWLINE]Parameter\u0026Value\u0026Unit\\\\[NEWLINE]\\hline[NEWLINE]Gstarmass\u00261.04$\\pm$0.02\u0026M$_\\odot$\\\\[NEWLINE]Companionmass\u0026$0.2\\lappr$M$\\lappr0.8$\u0026M$_\\odot$\\\\[NEWLINE]WDmass\u0026$0.73\\pm0.03$\u0026M$_\\odot$\\\\[NEWLINE]InnerPeriod\u002613.601486$\\pm0.00005$\u0026d\\\\[NEWLINE]Outerprojectedseparation\u002656\u0026au\\\\[NEWLINE]Outerperiod\u0026$\\gappr10^{4.8}$\u0026d\\\\[NEWLINE]Eccentricity\u00260.455$\\pm0.005$\u0026-\\\\[NEWLINE]%companionmass$^*$\u00260.200\u0026M$_\\odot$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07293_paper_table_0.png","ground_truth":"\\begin{tabular}{ccccccc}[NEWLINE]\\hline[NEWLINE]simulation\u0026ionspecies\u0026$A/Z$\u0026$n_\\mathrm{i}/n_\\mathrm{p}$\u0026$\\lambda_\\mathrm{i}/\\lambda_\\mathrm{e}$\u0026$\\lambda_\\mathrm{p}/\\lambda_\\mathrm{e}$\u0026$\\beta$\\\\[NEWLINE]\\hline[NEWLINE]S1\u0026He$^{2+}$\u0026$2$\u0026$5.0\\cdot10^{-2}$\u0026$37.5$\u0026$8.4$\u0026$0.97$\\\\[NEWLINE]S2\u0026He$^{+}$\u0026$4$\u0026$5.0\\cdot10^{-2}$\u0026$75.0$\u0026$8.2$\u0026$1.00$\\\\[NEWLINE]S3\u0026C$^{6+}$\u0026$2$\u0026$5.0\\cdot10^{-4}$\u0026$206.6$\u0026$8.0$\u0026$1.00$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07347_closedLoop_table_3.png","ground_truth":"\\begin{tabular}{lll}[NEWLINE]\\textbf{Featurename}\u0026\\textbf{Coefficient}\u0026\\textbf{CCSRCode}\\\\[NEWLINE]Intercept\u0026-6.74\u0026n/a\\\\[NEWLINE]Age\u00260.041\u0026n/a\\\\[NEWLINE]GenderMale\u00260.171\u0026n/a\\\\[NEWLINE]PriorAdmissions\u00260.682\u0026n/a\\\\[NEWLINE]PriorERVisits\u00260.413\u0026n/a\\\\[NEWLINE]Chronicobstructivepulmonarydisease(COPD)or\u00261.167\u0026CCSR:RSP008,CCSR:END012\\\\[NEWLINE]emphysema,cysticfibrosis,orchronicbronchitis\u0026\u0026\\\\[NEWLINE]Asthma\u00261.393\u0026CCSR:RSP009\\\\[NEWLINE]Obesity\u00260.935\u0026CCSR:END009\\\\[NEWLINE]Diabetes(otherthanwhenyouwerepregnant)\u00260.096\u0026CCSR:END002,CCSR:END003,\\\\[NEWLINE]\u0026\u0026CCSR:END004,CCSR:END005\\\\[NEWLINE]Hypertension(alsocalledhighbloodpressure)\u00260.832\u0026CCSR:CIR007,CCSR:CIR008\\\\[NEWLINE]CongestiveHeartFailure\u00260.982\u0026CCSR:CIR019\\\\[NEWLINE]Heartattack(alsocalledmyocardialinfarction)\u00260.159\u0026CCSR:CIR009,CCSR:CIR010\\\\[NEWLINE]Rheumaticheartdisease\u00260.788\u0026CCSR:CIR001,CCSR:CIR002,CCSR:CIR011,\\\\[NEWLINE]\u0026\u0026CCSR:CIR014,CCSR:CIR015\\\\[NEWLINE]Stroke\u00260.285\u0026CCSR:CIR020,CCSR:CIR021\\\\[NEWLINE]Sicklecellanemia/HIVinfection/Transplant\u00262.582\u0026CCSR:BLD005,CCSR:INF006,CCSR:FAC023\\\\[NEWLINE]Chronickidneydisease\u00260.966\u0026CCSR:GEN003\\\\[NEWLINE]Hemodialysis\u00261.369\u0026CCSR:GEN002\\\\[NEWLINE]Liverdisease\u00260.055\u0026CCSR:DIG019\\\\[NEWLINE]Pneumonia,acutebronchitis,influenzaorother\u00260.696\u0026CCSR:RSP002,CCSR:RSP003,\\\\[NEWLINE]\u0026\u0026CCSR:RSP005,CCSR:RSP006\\\\[NEWLINE]acuterespiratoryinfection\u0026\u0026\\\\[NEWLINE]Cancer\u00261.091\u0026CCSR:NEO\\\\[NEWLINE]Neurocognitiveconditions\u00260.294\u0026CCSR:NVS011,CCSR:CIR022,CCSR:CIR025\\\\[NEWLINE]Pregnancy\u00260.789\u0026CCSR:PRG\\\\[NEWLINE]COPDxAge\u0026-0.002\u0026n/a\\\\[NEWLINE]AsthmaxAge\u0026-0.015\u0026n/a\\\\[NEWLINE]ObesityxAge\u0026-0.004\u0026n/a\\\\[NEWLINE]DiabetesxAge\u00260.000\u0026n/a\\\\[NEWLINE]HypertensionxAge\u00260.005\u0026n/a\\\\[NEWLINE]CongestiveheartfailurexAge\u0026-0.007\u0026n/a\\\\[NEWLINE]MyocardialinfarctionxAge\u00260.003\u0026n/a\\\\[NEWLINE]RheumaticheartdiseasexAge\u0026-0.008\u0026n/a\\\\[NEWLINE]StrokexAge\u0026-0.003\u0026n/a\\\\[NEWLINE]Sicklecell/HIV/TransplatexAge\u0026-0.028\u0026n/a\\\\[NEWLINE]ChronickidneydiseasexAge\u0026-0.008\u0026n/a\\\\[NEWLINE]HemodialysisxAge\u0026-0.018\u0026n/a\\\\[NEWLINE]LiverdiseasexAge\u00260.001\u0026n/a\\\\[NEWLINE]Pneumonia,acutebronchitis,influenzaorother\u0026-0.005\u0026n/a\\\\[NEWLINE]acuterespiratoryinfectionxAge\u0026\u0026\\\\[NEWLINE]CancerxAge\u0026-0.009\u0026n/a\\\\[NEWLINE]NeurocognitiveconditionsxAge\u00260.004\u0026n/a\\\\[NEWLINE]Pregnancy,childbirthandthepuerperiumxAge\u0026-0.003\u0026n/a\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07347_closedLoop_table_4.png","ground_truth":"\\begin{tabular}{llll}[NEWLINE]\\textbf{Model}\u0026\\textbf{ROCAUC}\u0026\\textbf{Sensitivityat5\\%AlertRate}\\\\[NEWLINE]Survey\u0026.86\u0026.498\\\\[NEWLINE]OpenSource\u0026.87\u0026.538\\\\[NEWLINE]Full\u0026.87\u0026.541\\\\[NEWLINE]CharlsonComorbidity\u0026.79\u0026.291\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07347_closedLoop_table_5.png","ground_truth":"\\begin{tabular}{lllll}[NEWLINE]\\textbf{Decile}\u0026\\textbf{MedicaidMortality\\%}\u0026\\textbf{MedicaidLift}\u0026\\textbf{MedicareMortality\\%}\u0026\\textbf{MedicareLift}\\\\[NEWLINE]Top10\\%\u00266.48\u00261.30\u00265.56\u00262.99\\\\[NEWLINE]Top20\\%\u00266.43\u00261.29\u00263.70\u00262.00\\\\[NEWLINE]Top30\\%\u00266.39\u00261.29\u00263.09\u00261.66\\\\[NEWLINE]Top40\\%\u00266.39\u00261.28\u00262.78\u00261.50\\\\[NEWLINE]Top50\\%\u00266.21\u00261.25\u00262.59\u00261.40\\\\[NEWLINE]Top60\\%\u00265.80\u00261.17\u00263.10\u00261.67\\\\[NEWLINE]Top70\\%\u00265.51\u00261.11\u00262.65\u00261.43\\\\[NEWLINE]Top80\\%\u00265.25\u00261.06\u00262.32\u00261.25\\\\[NEWLINE]Top90\\%\u00265.11\u00261.03\u00262.06\u00261.11\\\\[NEWLINE]Full\u00264.97\u0026-\u00261.86\u0026-\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07347_closedLoop_table_6.png","ground_truth":"\\begin{tabular}{ll}[NEWLINE]Gender[NEWLINE]Age[NEWLINE]AdmissionCount[NEWLINE]EDVisitCount[NEWLINE]OfficeVisitCount[NEWLINE]MedicalEligibilityMonths[NEWLINE]\\#DistinctDMECategories(12M)[NEWLINE]\\#DaysSinceLastHospitalDischarge[NEWLINE]UseofPreventativeServices[NEWLINE]ProcedureHistory[NEWLINE]DME[NEWLINE]\\#ICUStays(12M)[NEWLINE]FrailtyIndicator[NEWLINE]DischargeDisposition[NEWLINE]DiagnosisHistory[NEWLINE]MonthlyMedicalCost[NEWLINE]\\#ofAdmissions(12M)[NEWLINE]InpatientDays[NEWLINE]\\#ofObservationStays[NEWLINE]\\#ofERVisits(12M)[NEWLINE]\\#ofERVisits(6M)[NEWLINE]AdmissionCause[NEWLINE]CharlsonComorbidityIndex(CCI)[NEWLINE]Evidenceoftobaccosmoking[NEWLINE]Evidenceofsmokelesstobacco[NEWLINE]Evidenceoftobacconon-use[NEWLINE]Fallsriskassessmentperformed[NEWLINE]AbnormalBMI[NEWLINE]NormalBMI[NEWLINE]LDL[NEWLINE]LVEF[NEWLINE]SystolicBloodPressure[NEWLINE]DiastolicBloodPressure[NEWLINE]\\#DistinctCCSRBodySystems[NEWLINE]\\#DistinctCCSRDiagnosisCategories(12M)[NEWLINE]PCSProcedureHistory[NEWLINE]PriorRespiratoryInfections[NEWLINE]PriorHospitalAcquiredInfections[NEWLINE]DiagnosisHistoryHigh-Level[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07347_closedLoop_table_7.png","ground_truth":"\\begin{tabular}{ll}[NEWLINE]Evidenceofsmokelesstobacco\\\\[NEWLINE]Evidenceoftobacconon-use\\\\[NEWLINE]Fallsriskassessmentperformed\\\\[NEWLINE]AbnormalBMI\\\\[NEWLINE]NormalBMI\\\\[NEWLINE]LDL\\\\[NEWLINE]LVEF\\\\[NEWLINE]SystolicBloodPressure\\\\[NEWLINE]DiastolicBloodPressure\\\\[NEWLINE]ContinuityofCareIndex(12M)\\\\[NEWLINE]PQIAny\\\\[NEWLINE]PQIDiabetes\\\\[NEWLINE]PQI5\\\\[NEWLINE]PQI7\\\\[NEWLINE]PQI8\\\\[NEWLINE]PQI11\\\\[NEWLINE]PQI12\\\\[NEWLINE]\\#DistinctCCSRBodySystems\\\\[NEWLINE]\\#DistinctCCSRDiagnosisCategories(12M)\\\\[NEWLINE]PCSProcedureHistory\\\\[NEWLINE]PriorRespiratoryInfections\\\\[NEWLINE]PriorHospitalAcquiredInfections\\\\[NEWLINE]DiagnosisHistoryHigh-Level[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07348_jfm-instructions_table_0.png","ground_truth":"\\begin{tabular}{ccccccc}[NEWLINE]$St_C$\u0026$~~$\u0026$A_C$\u0026$~~$\u0026$\\overline{C}_{t,s}$\u0026$~~$\u0026$\\overline{C}_{l,s}$\\\\[3pt][NEWLINE]0.6250\u0026\u00261.405\u0026\u00260.59\u0026\u00260.400\\\\[NEWLINE]0.9375\u0026\u00260.651\u0026\u00260.49\u0026\u00260.400\\\\[NEWLINE]1.2500\u0026\u00260.437\u0026\u00260.42\u0026\u00260.400\\\\[NEWLINE]1.5625\u0026\u00260.326\u0026\u00260.37\u0026\u00260.400\\\\[NEWLINE]1.8750\u0026\u00260.258\u0026\u00260.32\u0026\u00260.390\\\\[NEWLINE]2.1875\u0026\u00260.213\u0026\u00260.28\u0026\u00260.395\\\\[NEWLINE]2.5000\u0026\u00260.181\u0026\u00260.33\u0026\u00260.405\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07348_jfm-instructions_table_1.png","ground_truth":"\\begin{tabular}{ccccccccc}[NEWLINE]TestCase\u0026$St_C$\u0026$A_C$\u0026$\\mathcal{S}_C$\u0026$\\varphi$\u0026$\\overline{C}_{t,f}$\u0026$\\overline{C}_{t,b}$\u0026$\\overline{C}_{l,s[NEWLINE]f}$\u0026$\\overline{C}_{l,b}$\\\\[3pt][NEWLINE]SingleFoil(Symmetric)\u00260.2000\u00262.467\u0026-\u0026-\u00260.535\u0026-\u00260.000\u0026-\\\\[NEWLINE]SingleFoil(Deflected)\u00260.6250\u00261.405\u0026-\u0026-\u00260.590\u0026-\u00260.400\u0026-\\\\[NEWLINE]TandemFoils(Classic)\u00260.2000\u00262.467\u00265.0\u0026$0.500\\pi$\u00260.535\u00260.910\u00260.002\u00260.014\\\\[NEWLINE]TandemFoils(TypeI)\u00260.6250\u00261.405\u00265.0\u0026$1.600\\pi$\u00260.969\u00263.076\u0026-0.019\u00260.022\\\\[NEWLINE]TandemFoils(Classic)\u00260.2000\u00262.467\u00262.0\u0026$1.500\\pi$\u00260.535\u00260.909\u0026-0.017\u00260.033\\\\[NEWLINE]TandemFoils(TypeII)\u00260.6250\u00261.405\u00262.0\u0026$1.375\\pi$\u00260.646\u0026-1.191\u00260.039\u0026-0.013\\\\[NEWLINE]TandemFoils(Classic)\u00260.2000\u00262.467\u00261.0\u0026$0.000\\pi$\u00260.535\u00260.828\u0026-0.003\u00260.010\\\\[NEWLINE]TandemFoils(TypeIII)\u00261.5625\u00260.326\u00261.0\u0026$0.875\\pi$\u00260.595\u00260.340\u00260.030\u00260.002\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07349_Expectation10_table_0.png","ground_truth":"\\begin{tabular}{K{6cm}|K{5.5cm}|K{2.5cm}}[NEWLINE]Function\u0026Expectation\u0026Location\\\\[NEWLINE]\\hline\\hline[NEWLINE]MultivariateTuttepolynomialofarsm[NEWLINE]\u0026$\\mathbf{Z}_{\\M}(t,\\underline{pu})$\u0026Theorem\\ref{for:before-chro}\\\\[NEWLINE]\\hline[NEWLINE]Rank-nullitypolynomialofarsm[NEWLINE]\u0026$\\mathbf{Z}_{\\M}\\left(\\frac{y}{x},\\underline{py}\\right)$\u0026Corollary\\ref{for:rank}\\\\[NEWLINE]\\hline[NEWLINE]Tuttepolynomialat$(2,y)$ofarsm[NEWLINE]\u0026$\\mathbf{Z}_{\\M}(y-1,\\underline{p(y-1)})$\u0026Corollary\\ref{cor:2,y}\\\\[NEWLINE]\\hline[NEWLINE]Flowpolynomialofarsm[NEWLINE]\u0026$\\underline{(1-2p)}^{E}\\mathbf{Z}_{\\M}\\left(t,\\underline{\\frac{tp}{1-2p}}\\right)$\u0026Theorem\\ref{thm:pri-flow}\\\\[NEWLINE]\\hline[NEWLINE]Chromaticpolynomialofarepresentablematroidwithmultiplicity[NEWLINE]\u0026$t^{r(\\Gamma)}\\mathbf{Z}_{\\M}(t,\\underline{-p})$\u0026Theorem\\ref{thm:primary-chro}\\\\[NEWLINE]\\hline[NEWLINE]EulercharacteristicofanabelianLiegrouparrangement[NEWLINE]\u0026$\\psi_G^{r(\\Gamma)}\\mathbf{Z}_{\\M}((-1)^{a+b}\\psi_G,\\underline{-p})$\u0026Remark\\ref{rem:G-arr}\\\\[NEWLINE]\\hline[NEWLINE]NumberoflayersofanintersectionofhypersurfacesinanabelianLiegrouparrangement[NEWLINE]\u0026$|F|^{r(\\Gamma)}\\underline{(1-p)}^{E}\\mathbf{Z}_{\\M}\\left(|F|,\\underline{\\frac{p}{1-p}}\\right)$\u0026Theorem\\ref{thm:cc}\\\\[NEWLINE]\\hline[NEWLINE]Br{\\\"a}nd{\\'e}n-Mocigeneralizationofthe$q$-statePotts-modelpartitionfunctionofarepresentablematroidover$\\Z$\u0026$|F|^{r(\\Gamma)}\\mathbf{Z}_{\\M}(|F|,\\underline{pv})$\u0026Remark\\ref{rem:Potts}\\\\[NEWLINE]\\hline[NEWLINE]Br{\\\"a}nd{\\'e}n-MocimultivariateEhrhartpolynomialofazonotope[NEWLINE]\u0026$\\mathbf{Z}_{\\M}(q,\\underline{qpv})\\mid_{q=0}$\u0026Theorem\\ref{thm:ehr-strong}\\\\[NEWLINE]\\hline[NEWLINE]Numberofintegerpointsinahalf-openzonotope[NEWLINE]\u0026$\\underline{(1-p)}^{E}\\mathbf{Z}_{\\M}\\left(1,\\underline{\\frac{kp}{1-p}}\\right)$\u0026Theorem\\ref{thm:half-open}[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07349_Expectation10_table_1.png","ground_truth":"\\begin{tabular}{K{5cm}|K{6.5cm}|K{2.5cm}}[NEWLINE]Function\u0026Expectation\u0026Location\\\\[NEWLINE]\\hline\\hline[NEWLINE]Tuttepolynomialat$(x,2)$ofarsm[NEWLINE]\u0026$(x-1)^{r(E)}\\underline{(1-p)}^{E}\\mathbf{Z}_{\\M}\\left(x-1,\\underline{\\frac{1}{1-p}}\\right)$\u0026Corollary\\ref{cor:2,y-dual}\\\\[NEWLINE]\\hline[NEWLINE]Characteristicpolynomialofarsm[NEWLINE]\u0026$s^{r(E)}\\underline{(1-p)}^{E}\\mathbf{Z}_{\\M}\\left(s,\\underline{\\frac{2p-1}{1-p}}\\right)$\u0026Theorem\\ref{thm:chro-con}\\\\[NEWLINE]\\hline[NEWLINE]Chromaticpolynomialofarepresentablematroidwithmultiplicity[NEWLINE]\u0026$s^{r(\\Gamma)}\\underline{(1-p)}^{E}\\mathbf{Z}_{\\M}\\left(s,\\underline{\\frac{2p-1}{1-p}}\\right)$\u0026Corollary\\ref{cor:rep-chro-con}[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07355_draft-EDE-LSS-arXiv-v3_table_0.png","ground_truth":"\\begin{tabular}{|l|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]Datasets\u0026~~$\\Lambda$CDM~~\u0026~~~EDE~~~\\\\\\hline\\hline[NEWLINE]%CMBTT,EE,TE\u0026\u0026\\\\[NEWLINE]\\textit{Planck}2018low-$\\ell$TT\u002623.4\u002622.1\\\\[NEWLINE]\\textit{Planck}2018low-$\\ell$EE\u0026397.2\u0026396.0\\\\[NEWLINE]\\textit{Planck}2018high-$\\ell$TT+TE+EE\u00262344.9\u00262343.3\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Total$\\chi^2$\u00262765.5\u00262761.4\\\\[NEWLINE]$\\Delta\\chi^2$\u0026\u0026-4.1\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07355_draft-EDE-LSS-arXiv-v3_table_3.png","ground_truth":"\\begin{tabular}{|l|c|c|c|}[NEWLINE]\\hline\\hlineParameter\u0026$\\Lambda$CDM~~\u0026~~~EDE($n=3$)~~~\\\\\\hline\\hline[NEWLINE][NEWLINE]{\\boldmath$\\ln(10^{10}A_\\mathrm{s})$}\u0026$3.046\\,\\pm0.014$\u0026$3.053\\,\\pm0.014$\\\\[NEWLINE][NEWLINE]{\\boldmath$n_\\mathrm{s}$}\u0026$0.9710\\,\\pm0.0035$\u0026$0.9814\\,^{+0.0075}_{-0.0077}$\\\\[NEWLINE][NEWLINE]{\\boldmath$100\\theta_\\mathrm{s}$}\u0026$1.04209\\,\\pm0.00028$\u0026$1.04169\\,\\pm0.00036$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{b}h^2$}\u0026$0.02260\\,\\pm0.00013$\u0026$0.02285\\,\\pm0.00020$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{c}h^2$}\u0026$0.11718\\,\\pm0.00075$\u0026$0.1230\\,^{+0.0034}_{-0.0035}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\tau_\\mathrm{reio}$}\u0026$0.0581\\,\\pm0.0070$\u0026$0.0574\\,\\pm0.0071$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\mathrm{log}_{10}(z_c)$}\u0026$-$\u0026$3.73\\,^{+0.20}_{-0.19}$\\\\[NEWLINE][NEWLINE]{\\boldmath$f_\\mathrm{EDE}$}\u0026$-$\u0026$0.062\\,^{+0.032}_{-0.033}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\theta_i$}\u0026$-$\u0026$2.49\\,^{+0.40}_{-0.38}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]$H_0\\,[\\mathrm{km/s/Mpc}]$\u0026$68.67\\,\\pm0.35$\u0026$70.45\\,^{+1.05}_{-1.08}$\\\\[NEWLINE][NEWLINE]$\\Omega_\\mathrm{m}$\u0026$0.2978\\,\\pm0.0044$\u0026$0.2952\\,\\pm0.0046$\\\\[NEWLINE][NEWLINE]$\\sigma_8$\u0026$0.8032\\,\\pm0.0055$\u0026$0.8157\\,\\pm0.0096$\\\\[NEWLINE][NEWLINE]$S_8$\u0026$0.8002\\,\\pm0.0082$\u0026$0.8090\\,\\pm0.0100$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(f/{\\mathrm{eV}})$\u0026$-$\u0026$26.55\\,^{+0.13}_{-0.18}$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(m/{\\mathrm{eV}})$\u0026$-$\u0026$-26.94\\,^{+0.39}_{-0.40}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07355_draft-EDE-LSS-arXiv-v3_table_4.png","ground_truth":"\\begin{tabular}{|l|c|c|}[NEWLINE]\\hline\\hlineParameter\u0026$\\Lambda$CDM~~\u0026~~~EDE($n=3$)~~~\\\\\\hline\\hline[NEWLINE][NEWLINE]{\\boldmath$\\ln(10^{10}A_\\mathrm{s})$}\u0026$3.041\\,\\pm0.014$\u0026$3.044\\,\\pm0.014$\\\\[NEWLINE][NEWLINE]{\\boldmath$n_\\mathrm{s}$}\u0026$0.9692\\,\\pm0.0035$\u0026$0.9718\\,\\pm0.0049$\\\\[NEWLINE][NEWLINE]{\\boldmath$100\\theta_\\mathrm{s}$}\u0026$1.04200\\,\\pm0.00028$\u0026$1.04177\\,^{+0.00035}_{-0.00033}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{b}h^2$}\u0026$0.02253\\,\\pm0.00013$\u0026$0.02264\\,\\pm0.00017$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{c}h^2$}\u0026$0.11785\\,\\pm0.00076$\u0026$0.1196\\,\\pm0.0016$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\tau_\\mathrm{reio}$}\u0026$0.0552\\,\\pm0.0069$\u0026$0.0558\\,\\pm0.0069$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\mathrm{log}_{10}(z_c)$}\u0026$-$\u0026$\u003e3.28$\\\\[NEWLINE][NEWLINE]{\\boldmath$f_\\mathrm{EDE}$}\u0026$-$\u0026$\u003c0.060$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\theta_i$}\u0026$-$\u0026$\u003e0.35$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]$H_0\\,[\\mathrm{km/s/Mpc}]$\u0026$68.33\\,\\pm0.36$\u0026$68.92\\,^{+0.57}_{-0.59}$\\\\[NEWLINE][NEWLINE]$\\Omega_\\mathrm{m}$\u0026$0.3021\\,\\pm0.0045$\u0026$0.3008\\,\\pm0.0047$\\\\[NEWLINE][NEWLINE]$\\sigma_8$\u0026$0.8032\\,\\pm0.0053$\u0026$0.8064\\,\\pm0.0065$\\\\[NEWLINE][NEWLINE]$S_8$\u0026$0.8060\\,\\pm0.0082$\u0026$0.8074\\,\\pm0.0089$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(f/{\\mathrm{eV}})$\u0026$-$\u0026$26.52\\,^{+0.38}_{-0.36}$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(m/{\\mathrm{eV}})$\u0026$-$\u0026$-26.67\\,^{+0.65}_{-0.69}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07355_draft-EDE-LSS-arXiv-v3_table_5.png","ground_truth":"\\begin{tabular}{|l|c|}[NEWLINE]\\hline\\hlineParameter\u0026~~~EDE($n=3$)~~~\\\\\\hline\\hline[NEWLINE][NEWLINE]{\\boldmath$\\ln(10^{10}A_\\mathrm{s})$}\u0026$3.046\\,(3.042)\\,\\pm0.016$\\\\[NEWLINE][NEWLINE]{\\boldmath$n_\\mathrm{s}$}\u0026$0.9657\\,(0.9626)^{+0.0048}_{-0.0049}$\\\\[NEWLINE][NEWLINE]{\\boldmath$100\\theta_\\mathrm{s}$}\u0026$1.04177\\,(1.04184)\\,\\pm0.00032$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{b}h^2$}\u0026$0.02238\\,(0.02222)\\,\\pm0.00017$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\Omega_\\mathrm{c}h^2$}\u0026$0.1212\\,(0.1218)^{+0.0017}_{-0.0019}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\tau_\\mathrm{reio}$}\u0026$0.0541\\,(0.0532)\\,\\pm0.0075$\\\\[NEWLINE][NEWLINE]{\\boldmath$f/(10^{27}\\,{\\mathrm{eV}})$}\u0026$2.25\\,(0.80)^{+2.49}_{-1.96}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\mathrm{log}_{10}(m/{\\mathrm{eV}})$}\u0026$-26.98\\,(-26.11)^{+0.66}_{-0.64}$\\\\[NEWLINE][NEWLINE]{\\boldmath$\\theta_i$}\u0026$\u003c2.31\\,(0.15)$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]$H_0\\,[\\mathrm{km/s/Mpc}]$\u0026$67.53\\,(66.63)^{+0.71}_{-0.73}$\\\\[NEWLINE][NEWLINE]$\\Omega_\\mathrm{m}$\u0026$0.3162\\,(0.3258)\\,\\pm0.0083$\\\\[NEWLINE][NEWLINE]$\\sigma_8$\u0026$0.8132\\,(0.8153)^{+0.0086}_{-0.0089}$\\\\[NEWLINE][NEWLINE]$S_8$\u0026$0.8349\\,(0.8497)\\,\\pm0.0166$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(z_c)$\u0026$\u003c3.89\\,(3.16)$\\\\[NEWLINE][NEWLINE]$f_\\mathrm{EDE}$\u0026$\u003c0.041\\,(0.0003)$\\\\[NEWLINE][NEWLINE]$\\mathrm{log}_{10}(f/{\\mathrm{eV}})$\u0026$27.07\\,(26.92)\\,\\pm0.60$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07356_experiments_table_0.png","ground_truth":"\\begin{tabular}{|c|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|\u003e{\\centering\\arraybackslash}p{0.15\\textwidth}|}[NEWLINE]\\hline[NEWLINE]\\textbf{Dataset(Method)}\u0026\\textbf{CornerPrecision}\u0026\\textbf{CornerRecall}\u0026\\textbf{EdgePrecision}\u0026\\textbf{EdgeRecall}\u0026\\textbf{RoomPrecision}\u0026\\textbf{RoomRecall}\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Structured3D(FloorSP)\u00260.838\u00260.804\u00260.778\u00260.753\u00260.795\u00260.866\\\\[NEWLINE]\\hline[NEWLINE]Structured3D(Ours)\u0026\\textbf{0.856}\u0026\\textbf{0.834}\u0026\\textbf{0.813}\u0026\\textbf{0.795}\u0026\\textbf{0.880}\u0026\\textbf{0.887}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE][NEWLINE]%BKE(FloorSP)\u00260.951\u00260.822\u00260.902\u00260.811\u00260.847\u00260.830\\\\[NEWLINE]%\\hline[NEWLINE]%BKE(FloorNet)\u00260.950\u00260.766\u00260.948\u00260.768\u00260.812\u00260.721\\\\[NEWLINE]%\\hline[NEWLINE][NEWLINE]BKE-$syn$(FloorSP)\u00260.926\u00260.833\u00260.830\u00260.750\u00260.947\u0026\\textbf{0.944}\\\\[NEWLINE]\\hline[NEWLINE]BKE-$syn$(Ours)\u0026\\textbf{0.959}\u0026\\textbf{0.875}\u0026\\textbf{0.902}\u0026\\textbf{0.823}\u0026\\textbf{0.962}\u00260.915\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE][NEWLINE]BKE-$struct$(FloorSP)\u00260.830\u0026\\textbf{0.659}\u00260.697\u0026\\textbf{0.557}\u00260.808\u0026\\textbf{0.690}\\\\[NEWLINE]\\hline[NEWLINE]BKE-$struct$(Ours)\u0026\\textbf{0.842}\u00260.607\u0026\\textbf{0.714}\u00260.518\u0026\\textbf{0.870}\u00260.610\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07360_SoundWaves_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|}[NEWLINE]\\hline[NEWLINE]Model\u0026$\\alpha_\\infty$\u0026$\\alpha_{\\rmeq}$[NEWLINE]\\\\\\hline\u0026\u0026\\\\[-2ex][NEWLINE]Thermalbarrier\u0026$\\frac{5\\,g_{m^2}}{4\\,\\pi^2g_*}\\left(\\frac{\\Delta\\phi}{T}\\right)^2$\u0026$\\frac{30\\,g_m}{\\pi^2g_*}\\left(\\frac{\\Delta\\phi}{T}\\right)$[NEWLINE]\\\\[2ex]\\hline\u0026\u0026\\\\[-2ex][NEWLINE]Zero-temperaturebarrier\u0026$\\frac{5\\,g_{m^2}}{4\\,\\pi^2g_*}\\left(\\frac{\\Delta\\phi}{T}\\right)^2$\u0026$\\frac{30\\,g_m}{\\pi^2g_*}\\left(\\frac{\\Delta\\phi}{T}\\right)$[NEWLINE]\\\\[2ex]\\hline\u0026\u0026\\\\[-2ex][NEWLINE]Scale-invariant(CW-like)\u0026$\\frac{15\\,g^2}{\\pi^4g_*}\\left(\\frac{v}{T}\\right)^2$\u0026$\\frac{180\\,g^3}{\\pi^3g_*}\\left(\\frac{v}{T}\\right)$\\\\[2ex][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07362_cc_sps_final_table_0.png","ground_truth":"\\begin{tabular}{ccccc}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\u0026\\%Offset\u0026\\%Offset\u0026\\%Offset\u0026\\%Offset\\\\[NEWLINE]$z$\u0026IMF\u0026St.Lib.\u0026SPSModel\u0026SPSModel\\\\[NEWLINE]\u0026\u0026\u0026\u0026(OddOneOut)\\\\[NEWLINE]\\hline[NEWLINE]0.075\u0026$0.47$\u0026$7.40$\u0026$15.86$\u0026$9.91$\\\\[NEWLINE]0.125\u0026$0.47$\u0026$7.40$\u0026$14.23$\u0026$6.98$\\\\[NEWLINE]0.175\u0026$0.47$\u0026$7.40$\u0026$13.34$\u0026$5.40$\\\\[NEWLINE]0.225\u0026$0.47$\u0026$7.40$\u0026$13.21$\u0026$5.40$\\\\[NEWLINE]0.275\u0026$0.47$\u0026$7.40$\u0026$13.29$\u0026$5.40$\\\\[NEWLINE]0.325\u0026$0.47$\u0026$7.40$\u0026$12.20$\u0026$5.40$\\\\[NEWLINE]0.375\u0026$0.47$\u0026$7.40$\u0026$12.99$\u0026$5.40$\\\\[NEWLINE]0.425\u0026$0.47$\u0026$7.40$\u0026$10.29$\u0026$6.20$\\\\[NEWLINE]0.475\u0026$0.46$\u0026$7.39$\u0026$8.91$\u0026$5.86$\\\\[NEWLINE]0.525\u0026$0.23$\u0026$7.40$\u0026$9.99$\u0026$6.51$\\\\[NEWLINE]0.575\u0026$0.28$\u0026$6.87$\u0026$10.09$\u0026$6.12$\\\\[NEWLINE]0.625\u0026$0.47$\u0026$6.65$\u0026$11.17$\u0026$6.21$\\\\[NEWLINE]0.675\u0026$0.47$\u0026$6.57$\u0026$11.12$\u0026$5.71$\\\\[NEWLINE]0.725\u0026$0.47$\u0026$5.90$\u0026$10.81$\u0026$5.16$\\\\[NEWLINE]0.775\u0026$0.45$\u0026$6.03$\u0026$10.75$\u0026$5.05$\\\\[NEWLINE]0.825\u0026$0.47$\u0026$6.10$\u0026$10.75$\u0026$5.05$\\\\[NEWLINE]0.875\u0026$0.47$\u0026$5.89$\u0026$9.08$\u0026$2.79$\\\\[NEWLINE]0.925\u0026$0.44$\u0026$5.80$\u0026$8.62$\u0026$3.70$\\\\[NEWLINE]0.975\u0026$0.40$\u0026$5.94$\u0026$7.32$\u0026$3.65$\\\\[NEWLINE]1.025\u0026$0.27$\u0026$6.07$\u0026$5.84$\u0026$3.37$\\\\[NEWLINE]1.075\u0026$0.20$\u0026$6.08$\u0026$6.02$\u0026$3.49$\\\\[NEWLINE]1.125\u0026$0.20$\u0026$6.07$\u0026$4.72$\u0026$2.33$\\\\[NEWLINE]1.175\u0026$0.19$\u0026$6.09$\u0026$4.31$\u0026$2.33$\\\\[NEWLINE]1.225\u0026$0.19$\u0026$6.09$\u0026$3.90$\u0026$2.33$\\\\[NEWLINE]1.275\u0026$0.19$\u0026$6.09$\u0026$3.90$\u0026$2.33$\\\\[NEWLINE]1.325\u0026$0.20$\u0026$6.09$\u0026$3.91$\u0026$2.34$\\\\[NEWLINE]1.375\u0026$0.19$\u0026$6.09$\u0026$3.90$\u0026$2.34$\\\\[NEWLINE]1.425\u0026$0.19$\u0026$6.09$\u0026$3.90$\u0026$2.33$\\\\[NEWLINE]1.475\u0026$0.20$\u0026$6.09$\u0026$3.91$\u0026$2.34$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07362_cc_sps_final_table_1.png","ground_truth":"\\begin{tabular}{rccc}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\\multicolumn{4}{c}{TotalSystematicErrorBudgeton$H(z)$withtheCCMethod}\\\\[NEWLINE]\\multicolumn{1}{r}{}\u0026\\multicolumn{1}{c}{Min}\u0026\\multicolumn{1}{c}{Max}\u0026\\multicolumn{1}{c}{Mean}\\\\[NEWLINE]\\hline[NEWLINE]{Effectduetomodels}\u0026\u0026\u0026\\\\[NEWLINE]IMF\u00260.19\\%\u00260.47\\%\u00260.36\\%\\\\[NEWLINE]Stellarlibrary\u00265.80\\%\u00267.40\\%\u00266.57\\%\\\\[NEWLINE]SPSmodel\u00263.90\\%\u002615.86\\%\u00268.91\\%\\\\[NEWLINE]SPSmodel(oddoneout)\u00262.33\\%\u00269.91\\%\u00264.53\\%\\\\[NEWLINE]\\hline[NEWLINE]{Effectduetometallicity}\u0026\u0026\u0026\\\\[NEWLINE](10\\%error)\u00266.01\\%\u002619.33\\%\u00269.02\\%\\\\[NEWLINE](5\\%error)\u00261.87\\%\u00266.97\\%\u00264.16\\%\\\\[NEWLINE](1\\%error)\u00260.18\\%\u00260.77\\%\u00260.49\\%\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07364_pp_planck_table_0.png","ground_truth":"\\begin{tabular}{@{}cccccccc}[NEWLINE]\\hline\\hline[NEWLINE]Map/$N_{\\rmside}$\u00262048\u00261024\u0026512\\\\[NEWLINE]\\hline[NEWLINE]\\texttt{Cross}\\ldots\\ldots\u00260.83\u00260.86\u00260.91\\\\[NEWLINE]\\texttt{CR}\\ldots\\ldots\\ldots\u00260.87\u00260.98\u00260.99\\\\[NEWLINE]\\texttt{NILC}\\ldots\\ldots.\u00260.98\u00261.0\u00260.93\\\\[NEWLINE]\\texttt{SMICA}\\ldots\\ldots\u00260.46\u00260.97\u00261.0\\\\[NEWLINE]\\texttt{SEVEM}\\ldots\\ldots\u00260.95\u00260.96\u00260.98\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07364_pp_planck_table_1.png","ground_truth":"\\begin{tabular}{@{}cc}[NEWLINE]\\hline\\hline[NEWLINE]Map\u0026$G\\mu^{(\\rmup)}$\\\\[NEWLINE]\\hline[NEWLINE]\\texttt{Cross}\\ldots\\ldots\u0026$5.00\\times10^{-7}$\\\\[NEWLINE]\\texttt{CR}\\ldots\\ldots\\ldots.\u0026$9.29\\times10^{-7}$\\\\[NEWLINE]\\texttt{NILC}\\ldots\\ldots..\u0026$9.31\\times10^{-7}$\\\\[NEWLINE]\\texttt{SMICA}\\ldots\\ldots\u0026$9.81\\times10^{-7}$\\\\[NEWLINE]\\texttt{SEVEM}\\ldots\\ldots\u0026$9.92\\times10^{-7}$\\\\[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07367_Euclidcolours_v2.1_table_1.png","ground_truth":"\\begin{tabular}{cc|cccc|cc}[NEWLINE]\\hline\\hline[NEWLINE]dataset\u0026$\\langlez\\rangle$\u0026$m$\u0026$q$\u0026$L_{\\rmlow}$\u0026$L_{\\rmup}$\u0026C\u0026FP\\\\[NEWLINE]\\hline[NEWLINE]\u00260.125\u00261.4\u00261.1\u00262.0\u00262.4\u002674$\\pm$1$\\%$\u002615$\\pm$1$\\%$\\\\[NEWLINE]SED\u00260.375\u00260.9\u00261.8\u00262.6\u00261.7\u002692$\\pm$1$\\%$\u00263$\\pm$1$\\%$\\\\[NEWLINE]Wide\u00260.625\u00261.7\u00260.0\u00262.8\u00262.0\u002684$\\pm$1$\\%$\u00263$\\pm$1$\\%$\\\\[NEWLINE]\u00260.875\u00260.7\u00261.2\u00262.1\u00262.4\u002679$\\pm$1$\\%$\u00265$\\pm$1$\\%$\\\\[NEWLINE]\\hline[NEWLINE]\u00260.125\u00261.3\u00261.2\u00261.7\u00261.6\u002680$\\pm$1$\\%$\u002614$\\pm$1$\\%$\\\\[NEWLINE]\u00260.375\u00260.8\u00261.9\u00262.2\u00261.8\u002684$\\pm$1$\\%$\u00264$\\pm$1$\\%$\\\\[NEWLINE]SED\u00260.625\u00260.8\u00261.6\u00262.5\u00262.1\u002684$\\pm$1$\\%$\u00263$\\pm$1$\\%$\\\\[NEWLINE]Deep\u00260.875\u00260.9\u00260.9\u00262.0\u00262.5\u002684$\\pm$1$\\%$\u00261$\\pm$1$\\%$\\\\[NEWLINE]\u00261.125\u00260.8\u00260.5\u00261.7\u00263.1\u002677$\\pm$1$\\%$\u00268$\\pm$1$\\%$\\\\[NEWLINE]\u00261.375\u00261.3\u0026-1.9\u00262.1\u00263.4\u002666$\\pm$2$\\%$\u002624$\\pm$1$\\%$\\\\[NEWLINE]\\hline[NEWLINE]\u00260.125\u00261.7\u00261.1\u00261.7\u00261.3\u002663$\\pm3\\%$\u002619$\\pm1\\%$\\\\[NEWLINE]Int\u00260.375\u00261.9\u00260.9\u00262.6\u00261.5\u002691$\\pm3\\%$\u002611$\\pm1\\%$\\\\[NEWLINE]Wide\u00260.625\u00261.1\u00261.7\u00261.1\u00261.8\u002683$\\pm4\\%$\u002612$\\pm1\\%$\\\\[NEWLINE]\u00260.875\u00260.8\u00261.5\u00260.0\u00262.2\u002672$\\pm5\\%$\u002618$\\pm2\\%$\\\\[NEWLINE]\\hline[NEWLINE]\u00260.125\u00261.1\u00261.3\u00261.6\u00261.1\u002640$\\pm1\\%$\u002621$\\pm1\\%$\\\\[NEWLINE]\u00260.375\u00261.9\u00260.8\u00262.2\u00261.5\u002639$\\pm1\\%$\u002612$\\pm1\\%$\\\\[NEWLINE]Int\u00260.625\u00261.7\u00260.6\u00262.7\u00261.8\u002654$\\pm1\\%$\u002612$\\pm1\\%$\\\\[NEWLINE]Deep\u00260.875\u00260.5\u00261.9\u00262.5\u00262.9\u002661$\\pm1\\%$\u002615$\\pm1\\%$\\\\[NEWLINE]\u00261.125\u00260.0\u00262.4\u00260.0\u00263.4\u002655$\\pm2\\%$\u002615$\\pm1\\%$\\\\[NEWLINE]\u00261.375\u00260.0\u00262.0\u00260.0\u00263.4\u002649$\\pm2\\%$\u002623$\\pm1\\%$\\\\[NEWLINE]\\hline[NEWLINE]Flag\u00260.125\u00261.3\u00261.0\u00262.0\u00261.6\u002695$\\pm$9$\\%$\u00260$\\pm$1$\\%$\\\\[NEWLINE]Wide$^a$\u00260.375\u00260.9\u00261.5\u00262.8\u00261.6\u002694$\\pm$17$\\%$\u00262$\\pm$2$\\%$\\\\[NEWLINE]\u00260.625\u00260.5\u00261.9\u00260.0\u00261.9\u002660$\\pm$20$\\%$\u002616$\\pm$9$\\%$\\\\[NEWLINE]\\hline[NEWLINE]\u00260.125\u00261.4\u00260.9\u00262.1\u00261.6\u002697$\\pm$8$\\%$\u00263$\\pm$1$\\%$\\\\[NEWLINE]Flag\u00260.375\u00261.8\u00260.4\u00262.7\u00261.9\u002687$\\pm$7$\\%$\u00263$\\pm$1$\\%$\\\\[NEWLINE]Deep$^a$\u00260.625\u00260.0\u00262.9\u00260.0\u00262.2\u002677$\\pm$6$\\%$\u002615$\\pm$2$\\%$\\\\[NEWLINE]\u00260.875\u00260.1\u00262.3\u00260.0\u00262.4\u002662$\\pm$8$\\%$\u002619$\\pm$4$\\%$\\\\[NEWLINE][NEWLINE]2\\end{tabular}"} 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+{"file_name":"2003.07369_CFiBDM-JHEP_table_1.png","ground_truth":"\\begin{tabular}{l|l}[NEWLINE]\\hline\\hline[NEWLINE]Channel\u0026Advantageousscenarios\\\\[NEWLINE]\\hline[NEWLINE]$p$-scattering~~\u0026Heavierdarkmatter\\\u0026mediatormasses~\\\\[NEWLINE]\u0026Largedark-matterparticlesmassgap\\\\[NEWLINE]\\hline[NEWLINE]$e$-scattering\u0026Smallerdarkmatter\\\u0026mediatormasses\\\\[NEWLINE]\u0026Smalldark-matterparticlesmassgap\\\\\u0026Largerboostsofdarkmatter\\\\[NEWLINE]\\hline\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07371_sdss1152_table_0.png","ground_truth":"\\begin{tabular}{@{}lccccc@{}}[NEWLINE]\\hline[NEWLINE]Parameter\u0026units\u0026value\u0026uncertainty\\\\[NEWLINE]\\hline[NEWLINE]Orbitalperiod\u0026days\u00260.099\\,865\\,265\\,42\u0026$\\pm$0.000\\,000\\,000\\,10\\\\[NEWLINE]CentreofWD$_1$eclipse\u0026MJD(BTDB)\u002657460.651\\,021\\,8\u0026$\\pm$0.000\\,001\\,0\\\\[NEWLINE]$K_1$\u0026$\\mathrm{km\\,s^{-1}}$\u0026190.6\u0026$\\pm$1.5\\\\[NEWLINE]$K_2$\u0026$\\mathrm{km\\,s^{-1}}$\u0026212.3\u0026$\\pm$10.5\\\\[NEWLINE]$\\gamma_1$\u0026$\\mathrm{km\\,s^{-1}}$\u002660.2\u0026$\\pm$1.0\\\\[NEWLINE]$\\gamma_2$\u0026$\\mathrm{km\\,s^{-1}}$\u002655.7\u0026$\\pm$7.2\\\\[NEWLINE]{\\itGaia}parallax\\cite{Gaia18}\u0026mas\u00261.40\u0026$\\pm$0.26\\\\[NEWLINE]Bayesiandistance\\cite{Bailer18}\u0026pc\u0026706\u0026-119+175\\\\[NEWLINE]Rightascension\u0026deg(J2000)\u0026178.08337\u0026\\\\[NEWLINE]Declination\u0026deg(J2000)\u00262.80399\u0026\\\\[NEWLINE]SDSS$g$\u0026mag\u002618.32\u0026$\\pm$0.01\\\\[NEWLINE]\\hline[NEWLINE]Binaryinclination\u0026degrees\u002689.44\u0026-0.03+0.04\\\\[NEWLINE]Binaryseparation\u0026\\rsun\u00260.799\u0026$\\pm$0.010\\\\[NEWLINE]Massratio\u0026M$_1$/M$_2$\u00261.11\u0026$\\pm$0.025\\\\[NEWLINE]$M_1$\u0026\\msun\u00260.362\u0026$\\pm$0.014\\\\[NEWLINE]$M_2$\u0026\\msun\u00260.325\u0026$\\pm$0.013\\\\[NEWLINE]$R_1$\u0026\\rsun\u00260.0212\u0026$\\pm$0.0003\\\\[NEWLINE]$R_2$\u0026\\rsun\u00260.0191\u0026$\\pm$0.0004\\\\[NEWLINE]$\\log{g}_1$\u0026dex\u00267.344\u0026$\\pm$0.014\\\\[NEWLINE]$\\log{g}_2$\u0026dex\u00267.386\u0026$\\pm$0.012\\\\[NEWLINE]T$_\\mathrm{eff,1}$(eclipse)\u0026K\u002620800\u0026-960+1060\\\\[NEWLINE]T$_\\mathrm{eff,1}$(SED)\u0026K\u002621200\u0026-1100+1200\\\\[NEWLINE]T$_\\mathrm{eff,2}$(eclipse)\u0026K\u002610400\u0026-340+400\\\\[NEWLINE]T$_\\mathrm{eff,2}$(SED)\u0026K\u002611100\u0026-770+950\\\\[NEWLINE]$E(B-V)$\u0026mag\u00260.07\u0026$\\pm$0.02\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07385_LREC-2020-EMRE_table_0.png","ground_truth":"\\begin{tabular}{|l|l|l|}[NEWLINE]\\hline[NEWLINE]\u0026{\\bfRawfeatures}\u0026{\\bfRawfeat.+SE}\\\\[NEWLINE]\\hline[NEWLINE]{\\bf$\\mu$Acc.(1K)}\u0026$0.6757$\u0026$0.6429$\\\\[NEWLINE]\\hline[NEWLINE]{\\bf$\\sigma$Acc.(1K)}\u0026$0.0230$\u0026$0.0111$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07385_LREC-2020-EMRE_table_1.png","ground_truth":"\\begin{tabular}{|l|l|l|}[NEWLINE]\\hline[NEWLINE]\u0026{\\bfRawfeatures}\u0026{\\bfRawfeat.+SE}\\\\[NEWLINE]\\hline[NEWLINE]{\\bf$\\mu$Acc.(1K)}\u0026$0.7471$\u0026$0.6329$\\\\[NEWLINE]\\hline[NEWLINE]{\\bf$\\sigma$Acc.(1K)}\u0026$0.0468$\u0026$0.0577$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07438_intro_table_0.png","ground_truth":"\\begin{tabular}{lccccccc}[NEWLINE]\\toprule[NEWLINE]\u0026\u0026\\multicolumn{3}{c}{\\textbf{QueryExpr.}\\tablefootnote{$\\bowtie$:join,$\\sigma$:selection,$\\gamma$:grouping/aggregation}}\u0026\\multicolumn{3}{c}{\\textbf{Knowledge}\\tablefootnote{NS:noschemaknowledge,PT:partialtuples,OW:open-worldassumption}}\\\\[NEWLINE]\\cmidrule(lr){3-5}\\cmidrule(lr){6-8}[NEWLINE]\\textbf{System}\u0026\\textbf{Soundness}\u0026$\\bowtie$\u0026$\\sigma$\u0026$\\gamma$\u0026NS\u0026PT\u0026OW\\\\[NEWLINE]\\midrule[NEWLINE]{\\emNLIs}~\\cite{li2014constructing,yaghmazadeh2017sqlizer,yu2018syntaxsqlnet}\u0026\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026N/A\u0026N/A\\\\[NEWLINE]\\multicolumn{8}{l}{\\emPBESystems}\\\\[NEWLINE]\\enspaceQBE~\\cite{zloof1975query}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\u0026\\cmark\u0026\\cmark\\\\[NEWLINE]\\enspaceMWeaver~\\cite{qian2012sample}\u0026\\cmark\u0026\\cmark\u0026\u0026\u0026\\cmark\u0026\u0026\\cmark\\\\[NEWLINE]\\enspaceS4~\\cite{psallidas2015s4}\u0026\\cmark\u0026\\cmark\u0026\u0026\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\[NEWLINE]\\enspaceSQuID~\\cite{fariha2019example}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\tablefootnote{SQuIDdoesnotsupportprojectedaggregates(\\ie\\inthe\\texttt{SELECT}clause).}\u0026\\cmark\u0026\u0026\\cmark\\\\[NEWLINE]\\enspaceTALOS~\\cite{tran2014query}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\u0026\\\\[NEWLINE]\\enspaceQFE~\\cite{li2015query}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\u0026\u0026\u0026\\\\[NEWLINE]\\enspacePALEO~\\cite{panev2016reverse}\u0026\\cmark\u0026\u0026\\cmark\u0026\\cmark\u0026\u0026\\\\[NEWLINE]\\enspaceScythe~\\cite{wang2017synthesizing}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\u0026\u0026\\\\[NEWLINE]\\enspaceREGAL+~\\cite{tan2018regal+}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\u0026\\\\[NEWLINE]\\midrule[NEWLINE]\\bfseries{\\system}\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07438_tsq_table_0.png","ground_truth":"\\begin{tabular}{rccc}[NEWLINE]\\toprule[NEWLINE]\\textbf{Types}\u0026\\texttt{text}\u0026\\texttt{text}\u0026\\texttt{number}\\\\[NEWLINE]\\midrule[NEWLINE]\\textbf{Tuples}\\\\[NEWLINE]1.\u0026\\texttt{ForrestGump}\u0026\\texttt{TomHanks}\\\\[NEWLINE]2.\u0026\\texttt{Gravity}\u0026\\texttt{SandraBullock}\u0026\\texttt{[2010,2017]}\\\\[NEWLINE]\\midrule[NEWLINE]\\textbf{Sorted?}\u0026\\multicolumn{1}{l}{\\xmark}\\\\[NEWLINE]\\textbf{Limit?}\u0026\\multicolumn{1}{l}{None}\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07438_user_acc_table_0.png","ground_truth":"\\begin{tabular}{cccccccc}[NEWLINE]\\toprule[NEWLINE]\u0026\\multicolumn{3}{c}{\\textbf{NLI}}\u0026\\multicolumn{4}{c}{\\bfseries{\\system}}\\\\[NEWLINE]\\cmidrule(lr){2-4}\\cmidrule(lr){5-8}[NEWLINE]\\textbf{Task}\u0026\\cmark\u0026\\xmark\u0026TO\u0026\\cmark\u0026\\xmark\u0026TO\u0026\\#Ex.\\\\[NEWLINE]\\midrule[NEWLINE]A1\u00265/8\u00262/8\u00261/8\u0026\\textbf{8/8}\u00260/8\u00260/8\u00261\\\\[NEWLINE]A2\u00261/8\u00261/8\u00266/8\u0026\\textbf{5/8}\u00260/8\u00263/8\u00261.13\\\\[NEWLINE]A3\u00260/8\u00261/8\u00267/8\u0026\\textbf{6/8}\u00260/8\u00262/8\u00261.25\\\\[NEWLINE]A4\u00260/8\u00260/8\u00268/8\u0026\\textbf{8/8}\u00260/8\u00260/8\u00261.38\\\\[NEWLINE]B1\u00265/8\u00261/8\u00262/8\u0026\\textbf{8/8}\u00260/8\u00260/8\u00261.25\\\\[NEWLINE]B2\u00262/8\u00260/8\u00266/8\u0026\\textbf{8/8}\u00260/8\u00260/8\u00261.13\\\\[NEWLINE]B3\u00262/8\u00261/8\u00265/8\u0026\\textbf{8/8}\u00260/8\u00260/8\u00261.5\\\\[NEWLINE]B4\u00260/8\u00260/8\u00268/8\u0026\\textbf{4/8}\u00260/8\u00264/8\u00261.5\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07441_4_results_table_0.png","ground_truth":"\\begin{tabular}{llll}[NEWLINE]\\toprule[NEWLINE]Model\u0026Accuracy\\\\\\hline[NEWLINE]I-I-PW(baseline)\u0026$0.891$\\\\[NEWLINE]I-I-PS(baseline)\u0026$0.913$\\\\[NEWLINE]I-F-FP(proposed)\u0026$0.892$\\\\[NEWLINE]Originalwork~\\cite{netzer2011reading}\u0026$0.897$\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.07441_4_results_table_1.png","ground_truth":"\\begin{tabular}{lccc}[NEWLINE]%\\toprule[NEWLINE]%Dataset\u0026LunarLander-v2\u0026STL-10\u0026SVHN\\\\\\hline[NEWLINE]%Imageencoder\u0026$401\\pm36$s\u0026$153\\pm9$s\u0026$180\\pm11$s\\\\[NEWLINE]%Featureencoder\u0026$441\\pm29$s\u0026$105\\pm4$s\u0026$122\\pm11$s\\\\[NEWLINE]%\\bottomrule[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.07441_6_conclusion_table_0.png","ground_truth":"\\begin{tabular}{llll}[NEWLINE]\\toprule[NEWLINE]Model\u0026LunarLander\u0026STL-10\u0026SVHN\\\\\\hline[NEWLINE]I-I-PW(baseline)\u0026$13.76\\pm5.08$\u0026$0.38\\pm0.00$\u0026$0.82\\pm0.00$\\\\[NEWLINE]I-I-PS(baseline)\u0026$1.96\\pm0.18$\u0026$0.59\\pm0.00$\u0026$0.87\\pm0.00$\\\\[NEWLINE]I-F-FP(proposed)\u0026$1.92\\pm0.22$\u0026$0.67\\pm0.01$\u0026$0.86\\pm0.00$\\\\[NEWLINE]SimpleCNN\u0026$8.10\\pm0.01$\u0026$0.48\\pm0.03$\u0026$0.89\\pm0.01$\\\\[NEWLINE]SOTA\u0026---\u0026$0.94$~\\cite{berthelot2019mixmatch}\u0026$0.99$~\\cite{cubuk2018autoaugment}\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06347_3-evaluation_table_0.png","ground_truth":"\\begin{tabular}{l|c}[NEWLINE]%HMMtype\u0026Improvement\\\\[NEWLINE]%\\hline[NEWLINE]%HMM-4\u002619\\%\\\\[NEWLINE]%HMM-6\u002642\\%\\\\[NEWLINE]%HMM-8\u002658\\%\\\\[NEWLINE]%HMM-10\u002646\\%\\\\[NEWLINE]%Average\u002641\\%[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.06347_3-evaluation_table_1.png","ground_truth":"\\begin{tabular}{l|c}[NEWLINE]%HMM-type\u0026Improvement\\\\[NEWLINE]%\\hline[NEWLINE]%HMM-4\u002611\\%\\\\[NEWLINE]%HMM-6\u002616\\%\\\\[NEWLINE]%HMM-8\u002623\\%\\\\[NEWLINE]%HMM-10\u002627\\%\\\\[NEWLINE]%Average\u002619\\%[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.06348_TMTT-2019-12-1447_table_0.png","ground_truth":"\\begin{tabular}{lcc}\\hline\\vspace{-1.7mm}\u0026\u0026\\\\\\vspace{1mm}[NEWLINE]Modulation\u0026EVM($\\%$)\u0026EVM(dB)\\\\\\hline\u0026\u0026\\vspace{-2mm}\\\\[NEWLINE]16-QAM\u002612.5\u0026-18\\\\[NEWLINE]64-QAM\u00268\u0026-22\\\\\u0026\u0026\\vspace{-2.75mm}\\\\\\hline[NEWLINE]%256-QAM\u00263.5\u0026-29.4\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06348_TMTT-2019-12-1447_table_1.png","ground_truth":"\\begin{tabular}{lc}\\hline\\vspace{-1.7mm}\u0026\\\\\\vspace{1mm}[NEWLINE]Frequencyband\u0026ACLR($\\text{dBc}$)\\\\\\hline\u0026\\vspace{-2mm}\\\\[NEWLINE]24.25-33.4(GHz)\u002628\\\\[NEWLINE]37-52.6(GHz)\u002626\\\\\u0026\\vspace{-2.75mm}\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06353_main_table_0.png","ground_truth":"\\begin{tabular}{lp{0.2cm}S[table-number-alignment=right]lp{0.1cm}SS}[NEWLINE]\\hline\\hline[NEWLINE]$A$\u0026\u0026\\multicolumn{2}{c}{$\\delta\\nu^{60,A}$/MHz}\u0026\u0026{$\\dmscr^{60,A}$/fm$^2$}\u0026{$R_\\mathrm{c}$/fm}\\\\[NEWLINE]\\hline[NEWLINE]58\u0026\u0026-509.1(25)\u0026\\,\\,\\,\\,\\,[42]\u0026\u0026-0.275(7)\u00263.770(2)\\\\[NEWLINE]60\u0026\u00260.0\u0026\u0026\u00260.0\u00263.806(2)\\\\[NEWLINE]61\u0026\u0026280.8(27)\u0026\\,\\,\\,\\,\\,[20]\u0026\u00260.083(5)\u00263.817(2)\\\\[NEWLINE]62\u0026\u0026503.9(25)\u0026\\,\\,\\,\\,\\,[39]\u0026\u00260.223(5)\u00263.835(2)\\\\[NEWLINE]64\u0026\u00261027.2(25)\u0026\\,\\,\\,\\,\\,[77]\u0026\u00260.368(9)\u00263.854(2)\\\\[NEWLINE]68\u0026\u00261992.3(27)\u0026\\,\\,\\,\\,\\,[147]\u0026\u00260.620(21)\u00263.887(3)\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06357_BulkCu_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|c|}[NEWLINE]\\hline[NEWLINE]\u0026Square\u0026Plate\u0026Total\\\\[NEWLINE]Sample\u0026Dimension\u0026Thickness\u0026Mass\\\\[NEWLINE]\u0026(mm)\u0026(mm)\u0026(g)\\\\[NEWLINE]\\hline[NEWLINE]McMaster\u0026152.4\u00265\u00261250\\\\[NEWLINE]Aurubis\u0026101.6\u00262($\\times3$)\u0026568\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06359_akovacevic_table_0.png","ground_truth":"\\begin{tabular}{ccc}[NEWLINE]\\hline[NEWLINE]MJD\u0026mag\u0026$\\sigma$\\\\[NEWLINE]\\hline[NEWLINE]53505.21965\u002613.034\u00260.06\\\\[NEWLINE]53767.31269\u002613.214\u00260.05\\\\[NEWLINE]53767.31765\u002613.204\u00260.05\\\\[NEWLINE]53767.32261\u002613.214\u00260.05\\\\[NEWLINE]53767.32757\u002613.214\u00260.05\\\\[NEWLINE]53860.36368\u002613.244\u00260.05\\\\[NEWLINE]53860.37032\u002613.264\u00260.05\\\\[NEWLINE]53860.37695\u002613.254\u00260.05\\\\[NEWLINE]53860.38362\u002613.244\u00260.05\\\\[NEWLINE]53884.24010\u002613.274\u00260.05\\\\[NEWLINE]53767.32261\u002613.214\u00260.05\\\\[NEWLINE]...\u0026...\u0026...\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06362_Manuscript_table_0.png","ground_truth":"\\begin{tabular}{c|c|c}[NEWLINE]Abbreviation\u0026Approximationspace\u0026Hyper-reduction\\\\[NEWLINE]\\hline[NEWLINE]Adp-SS-ROM\u0026$\\mcalX_m(z)$\u0026online-adaptive(see\\Cref{sec:hypadp})\\\\[NEWLINE]\\hline[NEWLINE]N-Adp-SS-ROM\u0026$\\mcalX_m(z)$\u0026non-adaptive(see\\Cref{sec:hypnon-adp})\\\\[NEWLINE]\\hline[NEWLINE]SS-ROM\u0026$\\mcalX_m(z)$\u0026none\\\\[NEWLINE]\\hline[NEWLINE]S-ROM\u0026$\\td{\\mcalX}_m$\u0026none\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06362_Manuscript_table_1.png","ground_truth":"\\begin{tabular}{c|c|c|c|c}[NEWLINE]\u0026N-Adp-SS-ROM\u0026Adp-SS-ROM\u0026SS-ROM\u0026S-ROM\\\\[NEWLINE]\\hline[NEWLINE]$E(N_\\mu,N_t)$\u0026$1.95\\times10^{30}$\u0026$0.22$\u0026$0.11$\u0026$1.07$[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06362_Manuscript_table_2.png","ground_truth":"\\begin{tabular}{c|c|c}[NEWLINE]\u0026\\multicolumn{2}{c}{$E(N_\\mu,N_t)$}\\\\[NEWLINE]\\hline[NEWLINE]$n$$(\\%N_x)$\u0026Adp-SS-ROM\u0026N-Adp-SS-ROM\\\\[NEWLINE]\\hline[NEWLINE]$100$(10)\u0026$0.13$\u0026\\underline{$5.6\\times10^{27}$}\\\\[NEWLINE]\\hline[NEWLINE]$200$(20)\u0026$0.11$\u0026\\underline{$1.1\\times10^{26}$}\\\\[NEWLINE]\\hline[NEWLINE]$400$(40)\u0026$0.11$\u0026\\underline{$1.01\\times10^{13}$}\\\\[NEWLINE]\\hline[NEWLINE]$800$(80)\u0026$0.11$\u0026$0.11$\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06362_Manuscript_table_3.png","ground_truth":"\\begin{tabular}{c|c|c|c|c}[NEWLINE]\u0026N-Adp-SS-ROM\u0026Adp-SS-ROM\u0026SS-ROM\u0026S-ROM\\\\[NEWLINE]\\hline[NEWLINE]$E(N_\\mu,N_t)$\u0026$1$\u0026$0.19$\u0026$0.18$\u0026$0.84$[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06362_Manuscript_table_4.png","ground_truth":"\\begin{tabular}{c|c|c|c|c}[NEWLINE]\u0026N-Adp-SS-ROM\u0026Adp-SS-ROM\u0026SS-ROM\u0026S-ROM\\\\[NEWLINE]\\hline[NEWLINE]$E(N_\\mu,N_t)$\u0026$18.75\\times10^{3}$\u0026$0.29$\u0026$0.21$\u0026$1.06$[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06368_main_table_0.png","ground_truth":"\\begin{tabular}{|r|c|c|}[NEWLINE][NEWLINE]%\\multicolumn{1}{c|}{}\u0026\\multicolumn{4}{c|}{MW1}\u0026\\multicolumn{4}{c|}{MW2}\u0026\\multicolumn{4}{c}{MW8}\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]$n$\u0026Median\u0026Interquartilerange\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]200\u0026$6.99\\cdot10^{-4}$\u0026$3.46\\cdot10^{-4}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]500\u0026$2.66\\cdot10^{-4}$\u0026$1.80\\cdot10^{-4}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]1000\u0026$1.33\\cdot10^{-4}$\u0026$2.77\\cdot10^{-4}$\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06368_main_table_2.png","ground_truth":"\\begin{tabular}{|l|c|c|c|}[NEWLINE]%\\multicolumn{1}{c|}{}\u0026\\multicolumn{4}{c|}{MW1}\u0026\\multicolumn{4}{c|}{MW2}\u0026\\multicolumn{4}{c}{MW8}\\\\[NEWLINE]\\hline[NEWLINE]\u0026P\\'olyatree:Normal\u0026P\\'olyatree:Cauchy\u0026\\\\[NEWLINE]Setting\u0026basedistribution\u0026basedistribution\u0026CVBF\\\\[NEWLINE]\\hline[NEWLINE]Scalechange\u00263.87\u00264.25\u00263.39\\\\[NEWLINE]\\hline[NEWLINE]Locationshift\u00265.49\u00264.56\u00264.21\\\\[NEWLINE]\\hline[NEWLINE]Differenttailbehavior\u00264.31\u00262.89\u00263.56\\\\[NEWLINE]\\hline[NEWLINE]Finitesupport\u00265.78\u00266.48\u00264.45\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06368_main_table_3.png","ground_truth":"\\begin{tabular}{ccccc}[NEWLINE]\\hline[NEWLINE]$$TrainingSize1\u0026TrainingSize2\u0026TrainingSize3\u0026TrainingSize4\u0026TrainingSize5\\\\[NEWLINE][NEWLINE]1000\u00262000\u00263000\u00264000\u00265000\\\\[NEWLINE]\\hline[NEWLINE]315.626816\u0026276.528732\u0026231.051167\u0026201.645194\u0026182.201332\\\\[NEWLINE]\\hline[NEWLINE]241.768886\u0026253.465869\u0026235.792813\u0026200.283283\u0026190.463302\\\\[NEWLINE]\\hline[NEWLINE]225.082372\u0026271.294111\u0026233.426294\u0026207.040254\u0026213.035850\\\\[NEWLINE]\\hline[NEWLINE]234.807414\u0026236.023336\u0026266.549639\u0026176.003360\u0026189.454365\\\\[NEWLINE]\\hline[NEWLINE]226.983797\u0026270.906060\u0026236.911292\u0026215.656253\u0026193.865229\\\\[NEWLINE]\\hline[NEWLINE]272.410573\u0026219.497947\u0026238.849194\u0026186.675892\u0026172.254056\\\\[NEWLINE]\\hline[NEWLINE]207.588154\u0026272.831183\u0026249.044102\u0026179.578062\u0026153.103469\\\\[NEWLINE]\\hline[NEWLINE]281.847096\u0026243.758940\u0026245.641404\u0026212.265566\u0026178.598610\\\\[NEWLINE]\\hline[NEWLINE]251.889248\u0026291.354832\u0026208.003008\u0026201.931878\u0026185.385053\\\\[NEWLINE]\\hline[NEWLINE]284.436650\u0026209.200084\u0026199.055476\u0026224.828010\u0026189.899732\\\\[NEWLINE]\\hline[NEWLINE]288.740627\u0026247.195517\u0026229.092062\u0026205.312284\u0026178.194134\\\\[NEWLINE]\\hline[NEWLINE]144.649449\u0026235.758037\u0026230.391203\u0026205.150802\u0026188.819247\\\\[NEWLINE]\\hline[NEWLINE]308.260022\u0026271.371078\u0026240.710648\u0026177.380156\u0026184.602293\\\\[NEWLINE]\\hline[NEWLINE]277.599795\u0026231.646253\u0026225.778910\u0026202.822568\u0026160.224786\\\\[NEWLINE]\\hline[NEWLINE]256.997302\u0026226.210176\u0026214.835991\u0026229.774330\u0026167.417223\\\\[NEWLINE]\\hline[NEWLINE]230.934041\u0026281.785840\u0026238.745298\u0026203.106276\u0026191.103679\\\\[NEWLINE]\\hline[NEWLINE]153.586296\u0026260.621065\u0026227.981708\u0026186.511799\u0026172.520435\\\\[NEWLINE]\\hline[NEWLINE]226.711328\u0026245.456213\u0026231.617107\u0026183.804394\u0026147.947613\\\\[NEWLINE]\\hline[NEWLINE]249.792654\u0026274.684006\u0026221.902894\u0026216.998590\u0026198.912825\\\\[NEWLINE]\\hline[NEWLINE]261.422628\u0026263.855802\u0026228.180606\u0026224.607334\u0026177.832400\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06371_ms_table_0.png","ground_truth":"\\begin{tabular}{lcl}[NEWLINE]\\hline[NEWLINE]Parameter\u0026Value\u0026Comment\\\\[NEWLINE]\\hline[NEWLINE]$E({B-V})$[mag]\u00260.68$\\pm$0.02\u0026fitted\\\\[NEWLINE]$T_\\text{eff}$[kK]\u002635$\\pm$0.5\u0026fitted\\\\[NEWLINE]$d$[kpc]\u00262.5$\\pm$0.2\u0026from\\citet{BJ2018}\\\\[NEWLINE]$\\log(L_\\star/$L$_\\odot)$\u00265.4$\\pm$0.1\u0026fitted\\\\[NEWLINE]$R_\\star$[R$_\\odot$]\u002615.3$\\pm$0.4\u0026from$L_{\\star}$and$T_\\mathrm{eff}$\\\\[NEWLINE]$D$(clumpingfactor)\u002620\u0026depth-dependent\\\\[NEWLINE]$\\log(\\dot{M}/\\mathrm{M}_\\odot\\,\\text{yr}^{-1})$\u0026$-$5.9$\\pm$0.1\u0026fromH$\\alpha$\\\\[NEWLINE]$v_{\\infty}$[km\\,s$^{-1}$]\u00262000$\\pm$100\u0026fitted\\\\[NEWLINE]log\\,$g$[cm~s$^{-2}$]\u00263.5$\\pm$0.1\u0026fitted\\\\[NEWLINE]$M_\\star$[M$_\\odot$]\u002627$\\pm$7\u0026from$d$andlog\\,$g$\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{3}{c}{Chemicalabundances(massfraction)}\\\\[NEWLINE]\\hline[NEWLINE]H\u00260.74\u0026solar\\\\[NEWLINE]He\u00260.25\u0026solar\\\\[NEWLINE]C\u0026(5.4$^{+6.6}_{-3.0}$)$\\times10^{-4}$\u00260.25$\\times$solar\\\\[NEWLINE]N\u0026(2.8$^{+9.7}_{-1.4})\\times10^{-3}$\u00264$\\times$solar\\\\[NEWLINE]O\u0026(1.2$^{+0.3}_{-0.3}$)$\\times10^{-3}$\u00262$\\times$solar\\\\[NEWLINE]Si\u00266.7$\\times10^{-4}$\u0026solar\\\\[NEWLINE]P\u00265.8$\\times10^{-6}$\u0026solar\\\\[NEWLINE]S\u00263.1$\\times10^{-4}$\u0026solar\\\\[NEWLINE]Fe-group\u00261.3$\\times10^{-3}$\u0026solar\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_main_neurips_table_0.png","ground_truth":"\\begin{tabular}{lcccccc}[NEWLINE]\\toprule[NEWLINE]\u0026\\multicolumn{3}{c}{DeterministicSparsification}\u0026\\multicolumn{3}{c}{StochasticSparsification}\\\\[NEWLINE]Upper-Bound\u0026$\\mu$-convex\u0026convex\u0026nonconvex\u0026$\\mu$-convex\u0026convex\u0026nonconvex\\\\[NEWLINE]%\\midrule[NEWLINE]%$\\epsilon$-measure\u0026$F(x^i){-}F^{\\star}$\u0026$F(x^i){-}F^{\\star}$\u0026$||\\nablaF(x^{i^{\\star}})||^2$\\\\[NEWLINE]\\midrule[NEWLINE][NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]No-Compression\u0026$A_{\\epsilon}^{\\texttt{SC}}$\u0026$A_{\\epsilon}^{\\texttt{C}}$\u0026$A_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\u0026$B_{\\epsilon}^{\\texttt{SC}}$\u0026$B_{\\epsilon}^{\\texttt{C}}$\u0026$B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]%$\\frac{2}{\\bar{\\omega}_T}\\left(1{+}\\frac{2\\sigma^2}{\\epsilonL}\\right)\\frac{2L\\epsilon_0}{\\epsilon}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE]Data-Dependent\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE][NEWLINE][NEWLINE]Worst-Case[NEWLINE]\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026[NEWLINE]$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_sec3_mj_table_0.png","ground_truth":"\\begin{tabular}{lcccccc}[NEWLINE]\\toprule[NEWLINE]\u0026\\multicolumn{3}{c}{DeterministicSparsification}\u0026\\multicolumn{3}{c}{StochasticSparsification}\\\\[NEWLINE]Upper-Bound\u0026$\\mu$-convex\u0026convex\u0026nonconvex\u0026$\\mu$-convex\u0026convex\u0026nonconvex\\\\[NEWLINE]%\\midrule[NEWLINE]%$\\epsilon$-measure\u0026$F(x^i){-}F^{\\star}$\u0026$F(x^i){-}F^{\\star}$\u0026$||\\nablaF(x^{i^{\\star}})||^2$\\\\[NEWLINE]\\midrule[NEWLINE][NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]No-Compression\u0026$A_{\\epsilon}^{\\texttt{SC}}$\u0026$A_{\\epsilon}^{\\texttt{C}}$\u0026$A_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\u0026$B_{\\epsilon}^{\\texttt{SC}}$\u0026$B_{\\epsilon}^{\\texttt{C}}$\u0026$B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]%$\\frac{2}{\\bar{\\omega}_T}\\left(1{+}\\frac{2\\sigma^2}{\\epsilonL}\\right)\\frac{2L\\epsilon_0}{\\epsilon}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE]Data-Dependent\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE][NEWLINE][NEWLINE]Worst-Case[NEWLINE]\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026[NEWLINE]$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_sec3_mj_table_1.png","ground_truth":"\\begin{tabular}{lcccc}[NEWLINE]\\toprule[NEWLINE]Algorithm\u0026$\\epsilon$-measure\u0026GD\u0026$T$-SGD\u0026$T$-SGDWC\\\\\\midrule[NEWLINE][NEWLINE]strongly-convex\u0026$F(x^i){-}F^{\\star}$[NEWLINE]\u0026$\\kappa\\log({\\epsilon_0}/{\\epsilon})$[NEWLINE]\u0026$({1}/{\\bar{\\alpha}_T})\\kappa\\log({\\epsilon_0}/{\\epsilon})$[NEWLINE]\u0026$({d}/{T})\\kappa\\log({\\epsilon_0}/{\\epsilon})$\\\\[NEWLINE]convex\u0026$F(x^i){-}F^{\\star}$[NEWLINE]\u0026$2LR^2/\\epsilon$[NEWLINE]\u0026$(1/\\bar\\alpha_T)(2LR^2/\\epsilon)$[NEWLINE]\u0026$(d/T)(2LR^2/\\epsilon)$\\\\[NEWLINE]non-convex\u0026$||\\nablaF(x^{i^{\\star}})||^2$[NEWLINE]\u0026$2L\\epsilon_0/\\epsilon$[NEWLINE]\u0026$(1/\\bar\\alpha_T)(2L\\epsilon_0/\\epsilon)$[NEWLINE]\u0026$(d/T)(2L\\epsilon_0/\\epsilon)$\\\\[NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_sec3_mj_table_2.png","ground_truth":"\\begin{tabular}{lcccc}[NEWLINE]\\toprule[NEWLINE]Algorithm\u0026$\\epsilon$-measure\u0026GD\u0026$T$-SGD\u0026$T$-SGDWC\\\\\\midrule[NEWLINE][NEWLINE]$\\mu$-convex\u0026$F(x^i){-}F^{\\star}$[NEWLINE]\u0026$\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$[NEWLINE]\u0026$\\frac{1}{\\bar{\\alpha}_T}\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$[NEWLINE]\u0026$\\frac{d}{T}\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$\\\\[NEWLINE]convex\u0026$F(x^i){-}F^{\\star}$[NEWLINE]\u0026$\\frac{2LR^2}{\\epsilon}$[NEWLINE]\u0026$\\frac{1}{\\bar\\alpha_T}\\frac{2LR^2}{\\epsilon}$[NEWLINE]\u0026$\\frac{d}{T}\\frac{2LR^2}{\\epsilon}$\\\\[NEWLINE]non-convex\u0026$||\\nablaF(x^{i^{\\star}})||^2$[NEWLINE]\u0026$\\frac{2L\\epsilon_0}{\\epsilon}$[NEWLINE]\u0026$\\frac{1}{\\bar\\alpha_T}\\frac{2L\\epsilon_0}{\\epsilon}$[NEWLINE]\u0026$\\frac{d}{T}\\frac{2L\\epsilon_0}{\\epsilon}$\\\\[NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_sec3_mj_table_3.png","ground_truth":"\\begin{tabular}{lrrrr}[NEWLINE]\\toprule[NEWLINE]Algorithm\u0026strongly-convex\u0026convex\u0026non-convex\\\\[NEWLINE]\\midrule[NEWLINE]$\\epsilon$-measure\u0026$F(x^i){-}F^{\\star}$\u0026$F(x^i){-}F^{\\star}$\u0026$||\\nablaF(x^{i^{\\star}})||^2$\\\\[NEWLINE]\\midrule[NEWLINE][NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]GD\u0026$\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$\u0026$\\frac{2LR^2}{\\epsilon}$\u0026$\\frac{2L\\epsilon_0}{\\epsilon}$\\\\[NEWLINE][NEWLINE]$T$-SGD\u0026$\\frac{1}{\\bar{\\alpha}_T}\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$\u0026$\\frac{1}{\\bar{\\alpha}_T}\\frac{2LR^2}{\\epsilon}$\u0026$\\frac{1}{\\bar{\\alpha}_T}\\frac{2L\\epsilon_0}{\\epsilon}$\\\\[NEWLINE][NEWLINE][NEWLINE]$T$-SGDWC[NEWLINE]\u0026$\\frac{d}{T}\\kappa\\log(\\frac{\\epsilon_0}{\\epsilon})$\u0026$\\frac{d}{T}\\frac{2LR^2}{\\epsilon}$\u0026$\\frac{d}{T}\\frac{2L\\epsilon_0}{\\epsilon}$\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06377_sec3_mj_table_4.png","ground_truth":"\\begin{tabular}{lcccccc}[NEWLINE]\\toprule[NEWLINE]\u0026\\multicolumn{3}{c}{DeterministicSparsification}\u0026\\multicolumn{3}{c}{StochasticSparsification}\\\\[NEWLINE]Upper-Bound\u0026$\\mu$-convex\u0026convex\u0026nonconvex\u0026$\\mu$-convex\u0026convex\u0026nonconvex\\\\[NEWLINE]%\\midrule[NEWLINE]%$\\epsilon$-measure\u0026$F(x^i){-}F^{\\star}$\u0026$F(x^i){-}F^{\\star}$\u0026$||\\nablaF(x^{i^{\\star}})||^2$\\\\[NEWLINE]\\midrule[NEWLINE][NEWLINE]%\\multicolumn{4}{l}{IterationComplexity:}\\\\[NEWLINE][NEWLINE]No-Compression\u0026$A_{\\epsilon}^{\\texttt{SC}}$\u0026$A_{\\epsilon}^{\\texttt{C}}$\u0026$A_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\u0026$B_{\\epsilon}^{\\texttt{SC}}$\u0026$B_{\\epsilon}^{\\texttt{C}}$\u0026$B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]%$\\frac{2}{\\bar{\\omega}_T}\\left(1{+}\\frac{2\\sigma^2}{\\epsilonL}\\right)\\frac{2L\\epsilon_0}{\\epsilon}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE]Data-Dependent\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\alpha}_T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{blue}{\\frac{1}{\\bar{\\omega}_T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE][NEWLINE][NEWLINE]\\\\[NEWLINE][NEWLINE][NEWLINE]Worst-Case[NEWLINE]\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}A_{\\epsilon}^{\\texttt{NC}}$\u0026[NEWLINE]$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{SC}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{C}}$\u0026$\\textcolor{red}{\\frac{d}{T}}B_{\\epsilon}^{\\texttt{NC}}$[NEWLINE]\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06381_2020-lrec-htqe_table_0.png","ground_truth":"\\begin{tabular}{lrrrrr}[NEWLINE]\u0026UT\u0026TS\u0026IW\u0026TM\u0026Score\\\\[NEWLINE]\\hline[NEWLINE]Min.\u00262.00\u00262.00\u00263.50\u00261.50\u002611.50\\\\[NEWLINE]1stQuartile\u002617.50\u002614.50\u002618.50\u00269.50\u002660.00\\\\[NEWLINE]Median\u002623.00\u002618.00\u002620.50\u002611.50\u002671.50\\\\[NEWLINE]Mean\u002622.17\u002616.73\u002619.42\u002610.94\u002669.24\\\\[NEWLINE]3rdQuartile\u002628.50\u002620.50\u002621.50\u002612.50\u002682.50\\\\[NEWLINE]Max.\u002634.50\u002625.00\u002625.00\u002615.00\u002698.50\\\\[NEWLINE]\\hline[NEWLINE]Krippendorff's$\\alpha$\u00260.96\u00260.96\u00260.74\u00260.89\u0026\\\\[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06381_2020-lrec-htqe_table_1.png","ground_truth":"\\begin{tabular}{ll}[NEWLINE]\\hline[NEWLINE]wordembeddingsize\u0026$d=200$\\\\[NEWLINE]windowsize\u0026$k=[1,2,3,4]$\\\\[NEWLINE]initiallearningrate\u0026$\\alpha=0.001$\\\\[NEWLINE]dropoutrate\u0026$p=0.5$\\\\[NEWLINE]regularization\u0026$\\lambda=1e-3$\\\\[NEWLINE]numberoflayer\u00261\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06381_2020-lrec-htqe_table_2.png","ground_truth":"\\begin{tabular}{llrrr}[NEWLINE]\\hline[NEWLINE]{\\bfModel}\u0026{\\bfTarget}\u0026{\\bf$r$}\u0026{\\bf$\\rho$}\u0026{\\bfMSE}\\\\\\hline[NEWLINE]%{\\bfFeature-basedModel}\\\\\\hline[NEWLINE]\\multirow{4}{*}{QuEst}\u0026UT\u00260.24\u00260.25\u002651.99\\\\[NEWLINE]\u0026TS\u00260.08\u00260.09\u002629.26\\\\[NEWLINE]\u0026IW\u0026-0.01\u00260.01\u002610.19\\\\[NEWLINE]\u0026TM\u0026-0.01\u00260.01\u00266.07\\\\\\hline[NEWLINE]\\multirow{4}{*}{MoBiL}\u0026UT\u00260.18\u00260.20\u002679.23\\\\[NEWLINE]\u0026TS\u00260.08\u00260.08\u002634.47\\\\[NEWLINE]\u0026IW\u00260.15\u00260.12\u002616.68\\\\[NEWLINE]\u0026TM\u00260.07\u00260.06\u00269.25\\\\\\hline[NEWLINE]%{\\bfNeuralModel}\\\\\\hline[NEWLINE]\\multirow{4}{*}{CNN-BiLSTM}\u0026UT\u00260.19\u00260.18\u002664.41\\\\[NEWLINE]\u0026TS\u00260.21\u00260.21\u002625.65\\\\[NEWLINE]\u0026IW\u00260.13\u00260.09\u002611.46\\\\[NEWLINE]\u0026TM\u00260.12\u00260.11\u00265.45\\\\\\hline[NEWLINE]\\multirow{4}{*}{CNN-BiLSTM-Att}\u0026UT\u0026$0.41$\u0026$0.39$\u0026$40.96$\\\\[NEWLINE]\u0026TS\u0026$0.37$\u0026$0.37$\u0026$15.58$\\\\[NEWLINE]\u0026IW\u0026$0.24$\u0026$0.21$\u0026$4.63$\\\\[NEWLINE]\u0026TM\u0026$0.30$\u0026$0.28$\u0026$3.59$\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06387_ms_table_0.png","ground_truth":"\\begin{tabular}{|m{4.5cm}|m{3cm}|}\\hline[NEWLINE]%\\begin{tabular}{|l|l|}\\hline[NEWLINE]\\textbf{Parameter}\u0026\\textbf{Value}\\\\\\hline[NEWLINE]LTVDelay-Dopplerchannelmodel\u0026`ExtendedVehicularA(EVA)'\\cite{itu2135}\\\\\\hline[NEWLINE]Dopplerslots($N$)\u0026$16$\\\\\\hline[NEWLINE]Delayslots($M$)\u0026$256$\\\\\\hline[NEWLINE]NumberofNOMAusers\u00262\\\\\\hline[NEWLINE]Userspeed\u0026$500$kmph\\\\\\hline[NEWLINE]Carrierfrequency\u0026$5.9$GHz\\\\\\hline[NEWLINE]SubcarrierBandwidth$\\Deltaf$\u0026$15$KHz\\\\\\hline[NEWLINE]TotalBandwidth$B$\u0026$3.84$MHz\\\\\\hline[NEWLINE]FrameDuration$T_f$\u0026$1.08$ms\\\\\\hline[NEWLINE]ErrorCorrectionCodes\u0026LDPCcodes.Codelength=648,coderate(R)=2/3\\cite{IEEE_80211n_standard}\\\\\\hline[NEWLINE]DownlinkaverageSNR\u0026$\\SNR_1=15$dB,$\\SNR_2=25$dB\\\\\\hline[NEWLINE]UplinkaverageSNR\u0026$\\SNR_1^u=10$dB,$\\SNR_2^u=30$dB\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06391_Begovic-closestnormal_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|}[NEWLINE]\\hline[NEWLINE]manifold\u0026tangentsubspaceat$I$\u0026orthogonalsubspaceat$I$\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]symplectic\u0026Hamiltonian\u0026skew-Hamiltonian\\\\[NEWLINE]perplectic\u0026perskew-Hermitian\u0026per-Hermitian\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]Liegroup\u0026Liealgebra\u0026Jordanalgebra\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06396_H0_galileon_v2_table_0.png","ground_truth":"\\begin{tabular}{l@{\\quad}c@{\\quad}c@{\\quad}c}[NEWLINE]\u0026Uncoupled\u0026Coupled\u0026\\\\[NEWLINE]\u0026(IDEE)\u0026(EEG)\u0026\\\\[NEWLINE]\u0026$\\Omega_{\\phi,i}$\u0026$M_{*,i}^2,\\,\\beta$\u0026Section\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{2}{*}{Canonical+$\\Lambda$}[NEWLINE]\u0026PB,PBS\u0026\u0026\\ref{sec:constraints_uncoupled}\\\\[NEWLINE]\u0026\u0026PB,PBS\u0026\\ref{sec:constraints_coupled}\\\\[NEWLINE]\\hline[NEWLINE]Accelerating[NEWLINE](LUPE)\u0026\u0026\u0026\\\\[NEWLINE]\\quad+$\\summ_\\nu$\\quad($\\Lambda=0$)\u0026PB\u0026PB\u0026\\multirow{2}{*}{\\ref{sec:constraints_late}}\\\\[NEWLINE]\\quad+$\\Lambda$\\qquad($\\summ_\\nu$fixed)\u0026-\u0026PB\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06401_main_table_0.png","ground_truth":"\\begin{tabular}{lccc}[NEWLINE]\\hline\\hline[NEWLINE]\u0026$xy$\u0026$xz$\u0026$yz$\\\\\\hline[NEWLINE]$J_\\textrm{H}$(inunitsof$t_1$)\u0026$0.8(\\pm0.2)$\u0026$1.2(\\pm0.2)$\u0026$1.2(\\pm0.2)$\\\\[NEWLINE]$t_2$(inunitsof$t_1$)\u0026$0.5(\\pm0.1)$\u0026$0(\\pm0.2)$\u0026$0.7(\\pm0.1)$\\\\[NEWLINE]$\\Delta_\\textrm{CF}$(eV)\u00261$.87(\\pm0.03)$\u0026$2.32(\\pm0.03)$\u0026$2.45(\\pm0.03)$\\\\[NEWLINE]%$2\\Gamma_L$(eV)\u00260.06\u00260.06\u00260.06\\\\[NEWLINE]\\hline\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06401_main_table_1.png","ground_truth":"\\begin{tabular}{|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]material\u0026$a$(\\AA)\u0026$b$(\\AA)\u0026$c$(\\AA)\\\\[NEWLINE]\\hline[NEWLINE]LaSrAlO$_4$\u00263.756\u00263.756\u002612.617\\\\[NEWLINE]Ca$_2$CuO$_3$bulk\\cite{kondoh1988magnetic}\u002612.262\u00263.783\u00263.263\\\\[NEWLINE]Ca$_2$CuO$_3$film\u002612.288\u00263.758\u00263.262\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06404_main_table_0.png","ground_truth":"\\begin{tabular}{|l|c|}[NEWLINE]\\hline[NEWLINE]\\textbf{Nameanddescription}\u0026\\textbf{Rangeofvalues}\\\\[NEWLINE]\\hline[NEWLINE]Road-distancetointersection\u0026[0m,250m]\\\\[NEWLINE]Road-distancetotrafficlight\u0026[0m,250m]\\\\[NEWLINE]Road-distancetopedestriancrossing\u0026[0m,250m]\\\\[NEWLINE]Road-distancetoyieldsign\u0026[0m,250m]\\\\[NEWLINE]\\hline[NEWLINE]Legalspeedlimit\u0026[0km/h,120km/h]\\\\[NEWLINE]Averagedrivingspeedbasedonroadgeometry\u0026[0km/h,$\\infty$km/h]\\\\[NEWLINE]Curvature(inverseofradius)\u0026[0m$^{-1}$,$\\infty$m$^{-1}$]\\\\[NEWLINE]\\hline[NEWLINE]Turnnumber:whichwaytoturninnextintersection\u0026[0,$\\infty$]\\\\[NEWLINE]\\hline[NEWLINE]Relativeheadingoftheroadafterintersection\u0026[-180$\\deg$,180$\\deg$]\\\\[NEWLINE]Relativeheadingofallotherroads\u0026[-180$\\deg$,180$\\deg$]\\\\[NEWLINE]\\hline[NEWLINE]Relativeheadingsofmap-matchedGPScoordinate\u0026[-180$\\deg$,180$\\deg$]x5\\\\[NEWLINE]in\\{1,5,10,20,50\\}meters\u0026\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE]\\end{tabular}"} +{"file_name":"2003.06404_main_table_1.png","ground_truth":"\\begin{tabular}{p{30mm}cl}[NEWLINE]Metricname\u0026Parameters\u0026Metricdefinition\\\\[NEWLINE]\\hline[NEWLINE]Squarederror\u0026--\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\|a_i-\\hat{a}_i\\|^2$\\\\[NEWLINE]Absoluteerror\u0026--\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\|a_i-\\hat{a}_i\\|_1$\\\\[NEWLINE]Speed-weightedabsoluteerror\u0026--\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\|a_i-\\hat{a}_i\\|_1v_i$\\\\[NEWLINE]Cumulativespeed-weightedabsoluteerror\u0026$T$\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\|\\sum\\limits_{t=0}^T(a_{i+t}-\\hat{a}_{i+t})v_{i+t}\\|_1$\\\\[NEWLINE]Quantizedclassificationerror\u0026$\\sigma$\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\left(1-\\delta\\left(Q(a_i,\\sigma),Q(\\hat{a}_i,\\sigma)\\right)\\right)$\\\\[NEWLINE]Thresholdedrelativeerror\u0026$\\alpha$\u0026$\\frac{1}{|V|}\\sum\\limits_{i\\inV}\\theta\\left(\\|\\hat{a}_i-a_i\\|-\\alpha\\|a_i\\|\\right)$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06404_main_table_2.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|c|}[NEWLINE]\\hline[NEWLINE]ARTICLE\u0026DATATYPE\u0026INPUTS\u0026OUTPUTS\u0026LOSSES(IL)/\\emph{REWARDS(RL)}\u0026EVALUATION\u0026DATA\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE][NEWLINE]Bewley\\emph{etal.}\u0026transfers\u0026singlefrontalcamera\u0026steering\u00261)imagereconstructionloss2)cyclicreconstructionloss\u0026OPEN:\\quadMAE,Balanced-MAE\u002660Kframes\\\\[NEWLINE]2019\\cite{bewley2019learning}\u0026simulatedtoreal\u0026\u0026\u00263)controlloss4)cycliccontrolloss5)adversarialloss\u0026CLOSED:distancetointervention\u0026town/rural\\\\[NEWLINE][NEWLINE]\u0026(customsimulator)\u0026\u0026\u00266)perceptualloss7)latentreconstructionloss\u0026\u0026clear/rain/overcast\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE][NEWLINE]Codevilla\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u0026steering,acceleration\u0026MAE\u0026\u0026Train:100h,Test:80h\\\\[NEWLINE]%test80hdoesnotmakesense-itisthebenchmark...[NEWLINE]2019\\cite{codevilla2019exploring}\u0026\u0026ego-speed,navigationcommand\u0026AUXILIARY:speedfromvision\u0026\u0026CLOSED:CARLAbenchmark\\footnotemark\u0026twotowns,diverseweather\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026\u0026\u0026NoCrashbenchmark\\footnotemark\u0026\\\u0026trafficdensity\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Chen\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u0026waypoints\u0026MAElossontrajectories\u0026CLOSED:CARLAbenchmark\\footnotemark\u0026Train:154Kframes=4h\\\\[NEWLINE]2019\\cite{chen2019learning}\u0026\u0026\u0026(inthecamerareferenceframe)\u0026(comparingwithprivilegedagent)\u0026NoCrashbenchmark\\footnotemark\u0026twotowns,diverseweather\\\\[NEWLINE][NEWLINE][NEWLINE]\\hline[NEWLINE]Hawke\\emph{etal.}\u0026real\u00261or3cameras\u0026steering:valueandslope\u0026future-discountedMSEon\u0026OPEN:Balanced-MAEformodelselection\u0026Train:30h,Test:26routes\\\\[NEWLINE][NEWLINE]2019\\cite{hawke2019urban}\u0026\u00262timesteps(onlyforflow)\u0026speed:valueandslope\u0026predictedvalues\\\u0026slopes\u0026CLOSED:success\\%ofturns,ofstoppingbehindpacecar\u0026onecity,6months\\\\[NEWLINE][NEWLINE]\u0026\u0026navigationcommand\u0026\u0026vs.observedfuturevalues\u0026collisionrate,trafficviolationrate\u0026differenttimesofday\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026\u0026\u0026Metersperintervention(overall,inlinefollow,inpacecarfollowing)\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Hecker\\emph{etal.}\u0026real\u0026singlefrontalcamera\u0026steering,speed\u0026MAEonspeedandsteering\u0026OPEN:MAE\u0026Train:60h,Test:10h\\\\[NEWLINE][NEWLINE]2019\\cite{hecker2019learning}\u0026\u0026TomTomscreen\u0026\u0026MAEonsecondderivativeofspeedandsteeringovertime\u0026\u0026city+countryside\\\\[NEWLINE][NEWLINE]\u0026\u0026featuresfromHDmaps\u0026\u0026adversarial(logloss)onhumannessofcommandsequence\u0026\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Kendall\\emph{etal.}\u0026real\u0026singlefrontalcamera\u0026steering,speed\u0026Reward:distancetravelledwithoutdrivertakingover\u0026CLOSED:metersperdisengagement\u0026[NEWLINE]250mruralroad\\\\[NEWLINE][NEWLINE]2019\\cite{kendall2019learning}\u0026\u0026\u0026\u0026\u0026\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Xiao\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u0026steering,throttle,brake\u0026MAE\u0026CLOSED:CARLAbenchmark\\footnotemark\u0026Train:25h\\\\[NEWLINE]2019\\cite{xiao2019multimodal}\u0026\u0026depthimage(trueorestimated)\u0026\u0026\u0026\u0026twotowns,diverseweather\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Zhou\\emph{etal.}\u0026GTAV\u0026singleormultiplecameras+\u0026steering\u0026MAEforsteering\u0026CLOSED:\\%ofsuccessfulepisodes,\u0026Train:100Kframes=3.5h\\\\[NEWLINE][NEWLINE]2019\\cite{zhou2019does}\u0026\u0026trueorpredicted:\u0026\u0026Ifpredicting:MAEfordepth,normals,flow,albedo\u0026\\%successweightedbytracklength\u0026\\\\[NEWLINE]\u0026\u0026semantic\\\u0026instancesegmentation,monocular\u0026\u0026CEforsegmentationandboundaryprediction\u0026\u0026urban+off-roadtrail\\\\[NEWLINE]\u0026\u0026depth,surfacenormals,opticalflow,albedo\u0026\u0026\u0026\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Zeng\\emph{etal.}\u0026real\u0026singlefrontalcamera\u0026space-timecostvolume,\u0026planningloss(costmaps)\u0026OPEN:Atdifferenttimehorizons:\u00261.4Mframes,6500scenarios\\\\[NEWLINE][NEWLINE]2019\\cite{zeng2019end}\u0026\u0026LiDAR,ego-speed\u0026AUXILIARY:ego-speed,3Dobject\u0026perceptionloss(objectdetection)\u0026MAEandMSElossoftrajectory\u0026multiplecities\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026locationsandfuturetrajectories\u0026\u0026collision\\\u0026trafficviolationrate\u0026\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE]Amini\\emph{etal.}\u0026real\u00263cameras,unroutedmap,\u00261)unrouted:weight,mean,variance\u0026unrouted:negativelog-likelihoodofhumansteering,\u0026OPEN:z-scoreofhumansteering\u0026Train:25kmtest:separate1km\\\\[NEWLINE][NEWLINE]2018\\cite{amini2019variational}\u0026\u0026(optional)routedmap\u0026ofthe3gaussianmodels(GMs)\u0026routed:steeringMSEloss,\u0026accordingtotheGMM\u0026suburbanwithturns,intersections,\\\\[NEWLINE][NEWLINE]\u0026\u0026\u00262)routed:deterministicsteeringcontrol\u0026MAEpenaltyonnormoftheGaussian\u0026\u0026roundabouts,dynamicobstacles\\\\[NEWLINE]\u0026\u0026\u0026\u0026mixturemodelweightsvector,\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026quadraticpenaltyonthelogofvarianceofGMs\u0026\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Bansal\\emph{etal.}\u0026real,\u00267topdownsemanticmaps\u0026waypoints,headings,speeds,selfposition\u00261)waypoint(CE)2)agentboxloss(CE)\u0026OPEN:MSEonwaypoints\u002626Mexamples[NEWLINE]=60days\\\\[NEWLINE][NEWLINE]2018\\cite{bansal2018chauffeurnet}\u0026Test:real+sim\u0026(Roadmap,TrafficLights,SpeedLimit,\u0026,\u00263)direction(MAE)4)p\\_subpixelloss(MAE)\u0026CLOSED:success\\%atstop-signs,trafficlights,lanefollowing,\u0026noinformationondiversity\\\\[NEWLINE][NEWLINE]\u0026\u0026Route,CurrentAgentBox,\u0026AUXILLIARY:roadmask,perceptionboxes\u00265)speed(MAE)6)collisionloss7)onroadloss\u0026navigatingaroundaparkedcar,\u0026\\\\[NEWLINE][NEWLINE]\u0026\u0026DynamicBoxes,[NEWLINE]PastAgentPoses)\u0026\u00268)geometrylossAUXILIARY:objectsloss\\\u0026roadloss\u0026recoveringfromperturbations,slowingdownbehindaslowcar\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Codevilla\\emph{etal.}\u0026CARLA+\u0026singlefrontalcamera\u0026steering\u0026MSE\u0026CLOSEDCARLA:successrate,kmperinfraction\u0026SIMULATION:train2h,twotowns,diverseweather\\\\[NEWLINE]2018\\cite{codevilla2018end}\u0026realtoytruck\u0026ego-speed,navigationcommand\u0026acceleration\u0026\u0026CLOSEDREAL:\\%missedturns,\\#interventions,timespent\u0026REAL:Train2h,notdiverse\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE]Hecker\\emph{etal.}\u0026real\u00264cameras\u0026steering,speed\u0026MSE\u0026OPEN:MSE\u002660h\\quadmultiplecities,conditions\\\\[NEWLINE]2018\\cite{hecker2018end}\u0026\u0026route:GPScoordinatesorTomTommap\u0026\u0026\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Liang\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u0026steering,acceleraton,brake\u0026Trainedintwophases,\u0026CLOSED:CARLAbenchmark\\footnotemark\u0026IL:14h+RL:12h\\\\[NEWLINE]2018\\cite{liang2018cirl}\u0026\u0026navigationcommand\u0026\u0026InILphase:\\quad\\quadMSE\u0026\u0026twotowns,diverseweather\\\\[NEWLINE]\u0026\u0026\u0026\u0026InRLphase:speed(+),abnormalsteerangle(-)\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026collisions(-),overlapwithsidewalkorotherlane(-)\u0026\u0026\\\\[NEWLINE][NEWLINE]\\hline[NEWLINE]Müller\\emph{etal.}\u0026transfers\u0026\u0026\u0026\u0026\u0026Train:28h(incleardaytimeweather)\\\\[NEWLINE]2018\\cite{muller2018driving}\u0026simulatedtoreal\u0026singlefrontalcamera\u0026twowaypoints(fixeddistance,predictedangle)\u0026MSE\u0026CLOSED:\\%ofsucessfulepisodes\u0026Test:2x25trials\\\\[NEWLINE]\u0026(simulation:CARLA)\u0026navigationcommand\u0026\u0026\u0026inreal:timespent,missedturns,infractions\u0026incloudyafterrainweather\\\\[NEWLINE]\u0026(real:toytrucks)\u0026\u0026\u0026\u0026\u0026twotowns\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026real:diversesituations,weatherdiversityunclear\\\\[NEWLINE][NEWLINE][NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Sauer\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u00266affordances:[NEWLINE]\u00263xCE\u0026CLOSED:CARLAbenchmark\\footnotemark[NEWLINE]\u0026noinformationonamount\\\\[NEWLINE]2018\\cite{sauer2018conditional}\u0026\u0026\u0026Hazardstop(boolean),RedTrafficLight(boolean),[NEWLINE]\u00263xMAE\u0026meandistance(km)betweenvarioustypesofinfractions[NEWLINE]\u0026twotowns,diverseweather\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026SpeedSign[categorical],Relativeangle[rad]\u0026\u0026inSI:distancetocenterline,jerk\u0026\\\\[NEWLINE][NEWLINE]\u0026\u0026\u0026Distancestovehicle[m]andcenterline[m]\u0026\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]Sobh\\emph{etal.}\u0026CARLA\u0026singlefrontalcameraasRGB\u0026steering,throttle\u0026MSE\u0026CLOSED:timespentoff-road\u0026Train:136KsamplesTest:20min\\\\[NEWLINE]2018\\cite{sobh2018end}\u0026\u0026orassegmentation\u0026\u0026\u0026timespentonlanemarkings\u0026\\\\[NEWLINE]\u0026\u0026LiDARinBEVorPGM\u0026\u0026\u0026numberofcrashes\u0026weathernotdiverse(notspecified)\\\\[NEWLINE]\u0026\u0026navigationcommand\u0026\u0026\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\setcounter{footnote}{0}[NEWLINE][NEWLINE]Dosovitsky\\emph{etal.}\u0026CARLA\u0026singlefrontalcamera\u0026forILmodel:specifiedas\"action\"\u0026notspecified\u0026CLOSED:CARLAbenchmark\\footnotemark\u0026ILmodel:14hofdrivingdata[NEWLINE]\\\\[NEWLINE]2017\\cite{dosovitskiy2017carla}\u0026\u0026navigationcommand\u0026RLmodel:noinformation\u0026\u0026distancebetweeninfractions\u0026RLmodel:12daysofdriving\\\\[NEWLINE]\\hline[NEWLINE]Bojarski\\emph{etal.}\u0026real\u0026singlefrontalcamera\u0026steering\u0026MSE\u0026CLOSED:autonomy(\\%ofdrivingtime\u0026Train:lengthnotspecified\\\\[NEWLINE][NEWLINE]2016\\cite{bojarski2016end}\u0026\u0026\u0026\u0026\u0026whencarwascontrolledbythemodel,notsafetydriver)\u0026day,night,multipletowns,conditions\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026test:3h=100km\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE]\\end{tabular}"} +{"file_name":"2003.06404_main_table_3.png","ground_truth":"\\begin{tabular}{|c|c|c||c|c||c|c||c|c|}[NEWLINE]\\hline[NEWLINE]\u0026\\multicolumn{4}{c||}{TownI}\u0026\\multicolumn{4}{c|}{TownII}\\\\[NEWLINE]ARTICLE\u0026\\multicolumn{2}{c||}{Trainingweather}\u0026\\multicolumn{2}{c|}{Newweather}\u0026\\multicolumn{2}{c||}{Trainingweather}\u0026\\multicolumn{2}{c|}{Newweather}\\\\[NEWLINE][NEWLINE]\u0026Empty\u0026Dyn.objects\u0026Empty\u0026dyn.objects\u0026Empty\u0026Dyn.objects\u0026Empty\u0026dyn.objects\\\\\\hline[NEWLINE]Chen\\emph{etal.}2019\\cite{chen2019learning}\u0026100\\textsuperscript{a}\u0026100\\textsuperscript{a}\u0026100\\textsuperscript{a}\u0026100\\textsuperscript{a}\u0026100\u002699\u0026100\u0026100\\\\\\hline[NEWLINE]Xiao\\emph{etal.}2019\\cite{xiao2019multimodal}\\textsuperscript{b}\u002692\u002689\u002690\u002690\u002690\u002687\u002690\u002694\\\\\\hline[NEWLINE]Codevilla\\emph{etal.}2019\\cite{codevilla2019exploring}\u002695\u002692\u0026-\u0026-\u002695\u002692\u002692\u002690\\\\\\hline[NEWLINE]Sauer\\emph{etal.}2018\\cite{sauer2018conditional}\u002692\u002693\u002690\u002692\u002670\u002664\u002668\u002664\\%\\\\\\hline[NEWLINE]Liang\\emph{etal.}2018\\cite{liang2018cirl}\u002693\u002682\u002686\u002680\u002653\u002641\u002668\u002662\\\\\\hline[NEWLINE]%Codevilla\\emph{etal.}2018\\cite{codevilla2018end}**\u002640\\%\u002638\\%\u002644\\%\u002642\\%\\\\\\hline[NEWLINE]Dosovitsky\\emph{etal.}2017\\cite{dosovitskiy2017carla}\u002686\u002683\u002684\u002682\u002640\u002638\u002644\u002642\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06404_main_table_4.png","ground_truth":"\\begin{tabular}{|c|c|c|c||c|c|c|}[NEWLINE]\\hline[NEWLINE]\u0026\\multicolumn{3}{c||}{Trainingweather}\u0026\\multicolumn{3}{c|}{Newweather}\\\\[NEWLINE]ARTICLE\u0026Notraffic\u0026Regulartraffic\u0026Densetraffic\u0026Notraffic\u0026Regulartraffic\u0026Densetraffic\\\\\\hline[NEWLINE]Chen\\emph{etal.}2019\\cite{chen2019learning}\u0026100\u002696\u002689\u0026100\\%\u002694\\%\u002685\\%\\\\\\hline[NEWLINE][NEWLINE]Codevilla\\emph{etal.}2019\\cite{codevilla2019exploring}\u002651\u002644\u002638\u002690\\%\u002687\\%\u002667\\%\\\\\\hline[NEWLINE][NEWLINE]Sauer\\emph{etal.}2018\\cite{sauer2018conditional}\u002636\u002626\u00269\u002625\\%\u002614\\%\u002610\\%\\\\\\hline[NEWLINE][NEWLINE]Codevilla\\emph{etal.}2018\\cite{codevilla2018end}\u002648\u002627\u002610\u002624\\%\u002613\\%\u00262\\%\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06406_main_table_0.png","ground_truth":"\\begin{tabular}{|c|c|}[NEWLINE]\\hline[NEWLINE]\\textbf{VSIParameter}\u0026\\textbf{Value}\\\\\\hline\\hline[NEWLINE]RatedRMSOutputVoltage\u0026$220$(V)\\\\\\hline[NEWLINE]RatedOutputFrequency($\\omega_o$)\u0026$2\\pi60$(rad/s)\\\\\\hline[NEWLINE]DCLinkVoltage($V_{dc}$)\u0026$500$(V)\\\\\\hline[NEWLINE]SwitchingFrequency\u0026$20$(kHz)\\\\\\hline[NEWLINE]$LC$FilterInductance($L_f$)\u0026$2$(mH)\\\\\\hline[NEWLINE]$LC$FilterCapacitance($C_f$)\u0026$20$($\\mu$F)\\\\\\hline[NEWLINE]RatedOutputPower\u0026$2$(kVA)\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06410_paper_table_0.png","ground_truth":"\\begin{tabular}{|l|c|c|c|c|c|l|}\\hline[NEWLINE]\u0026\\multicolumn{2}{c|}{RMSE}\u0026\\multicolumn{2}{c|}{Runtime(ms)}\\\\[NEWLINE]\u0026$d=10$\u0026$d=20$\u0026$d=10$\u0026$d=20$\\\\\\hline[NEWLINE]Set-valuedAAA\u0026$6.522\\cdot10^{-3}$\u0026$1.707\\cdot10^{-3}$\u0026$14.7$\u0026$24.7$\\\\[NEWLINE]SurrogateAAA\u0026$1.278\\cdot10^{-2}$\u0026$2.501\\cdot10^{-2}$\u0026$11.6$\u0026$18.5$\\\\[NEWLINE]VF(5iter)\u0026$1.374\\cdot10^{-2}$\u0026$6.143\\cdot10^{-3}$\u0026$38.3$\u0026$69.4$\\\\[NEWLINE]VF(10iter)\u0026$1.139\\cdot10^{-2}$\u0026$6.069\\cdot10^{-3}$\u0026$55.1$\u0026$103.6$\\\\[NEWLINE]RKFIT(5iter)\u0026$6.619\\cdot10^{-3}$\u0026$1.568\\cdot10^{-3}$\u0026$80.2$\u0026$182.6$\\\\[NEWLINE]RKFIT(10iter)\u0026$6.246\\cdot10^{-3}$\u0026$1.233\\cdot10^{-3}$\u0026$132.5$\u0026$302.2$\\\\[NEWLINE]Loewner\u0026$1.795\\cdot10^{-2}$\u0026$1.675\\cdot10^{-2}$\u0026$21.7$\u0026$33.3$\\\\[NEWLINE]block-AAA\u0026$1.421\\cdot10^{-4}$\u0026$8.625\\cdot10^{-12}$\u0026$122.3$\u0026$288.0$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06410_paper_table_1.png","ground_truth":"\\begin{tabular}{|l|c|c|c|c|c|l|}\\hline[NEWLINE]\u0026\\multicolumn{2}{c|}{RMSE}\u0026\\multicolumn{2}{c|}{Runtime(ms)}\\\\[NEWLINE]\u0026$d=10$\u0026$d=20$\u0026$d=10$\u0026$d=20$\\\\\\hline[NEWLINE]Set-valuedAAA\u0026$2.258\\cdot10^{3}$\u0026$8.564\\cdot10^{-2}$\u0026$15.3$\u0026$16.9$\\\\[NEWLINE]SurrogateAAA\u0026$1.129\\cdot10^{0}$\u0026$4.301\\cdot10^{0}$\u0026$8.7$\u0026$13.8$\\\\[NEWLINE]VF(5iter)\u0026$1.702\\cdot10^{1}$\u0026$1.675\\cdot10^{1}$\u0026$35.7$\u0026$42.4$\\\\[NEWLINE]VF(10iter)\u0026$1.683\\cdot10^{1}$\u0026$1.674\\cdot10^{1}$\u0026$75.4$\u0026$59.5$\\\\[NEWLINE]RKFIT(5iter)\u0026$3.675\\cdot10^{0}$\u0026$5.270\\cdot10^{-1}$\u0026$70.8$\u0026$143.6$\\\\[NEWLINE]RKFIT(10iter)\u0026$3.806\\cdot10^{-1}$\u0026$9.061\\cdot10^{-3}$\u0026$114$\u0026$245.1$\\\\[NEWLINE]Loewner\u0026$1.011\\cdot10^{0}$\u0026$1.784\\cdot10^{-2}$\u0026$11.3$\u0026$17$\\\\[NEWLINE]block-AAA\u0026$6.897\\cdot10^{-2}$\u0026$2.863\\cdot10^{-2}$\u0026$66$\u0026$166.9$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06410_paper_table_2.png","ground_truth":"\\begin{tabular}{|l|c|c|c|c|c|l|}\\hline[NEWLINE]\u0026\\multicolumn{2}{c|}{RMSE}\u0026\\multicolumn{2}{c|}{Runtime(ms)}\\\\[NEWLINE]\u0026$d=10$\u0026$d=20$\u0026$d=10$\u0026$d=20$\\\\\\hline[NEWLINE]Set-valuedAAA\u0026$3.895\\cdot10^{-4}$\u0026$5.543\\cdot10^{-5}$\u0026$18.8$\u0026$36.5$\\\\[NEWLINE]SurrogateAAA\u0026$4.662\\cdot10^{-4}$\u0026$3.209\\cdot10^{-5}$\u0026$14.6$\u0026$24.9$\\\\[NEWLINE]VF(5iter)\u0026$6.811\\cdot10^{-4}$\u0026$3.523\\cdot10^{-4}$\u0026$49.2$\u0026$97.1$\\\\[NEWLINE]VF(10iter)\u0026$6.729\\cdot10^{-4}$\u0026$3.016\\cdot10^{-4}$\u0026$72.3$\u0026$135.4$\\\\[NEWLINE]RKFIT(5iter)\u0026$1.555\\cdot10^{-4}$\u0026$2.345\\cdot10^{-5}$\u0026$101.8$\u0026$240$\\\\[NEWLINE]RKFIT(10iter)\u0026$8.735\\cdot10^{-5}$\u0026$1.507\\cdot10^{-5}$\u0026$164.9$\u0026$363.8$\\\\[NEWLINE]Loewner\u0026$9.419\\cdot10^{-4}$\u0026$2.225\\cdot10^{-4}$\u0026$54.8$\u0026$56.5$\\\\[NEWLINE]block-AAA\u0026$5.378\\cdot10^{-5}$\u0026$4.678\\cdot10^{-6}$\u0026$165.4$\u0026$418.9$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06410_paper_table_3.png","ground_truth":"\\begin{tabular}{|l|c|c|c|c|c|l|}\\hline[NEWLINE]\u0026\\multicolumn{2}{c|}{RMSE}\u0026\\multicolumn{2}{c|}{Runtime(ms)}\\\\[NEWLINE]\u0026$d=10$\u0026$d=20$\u0026$d=10$\u0026$d=20$\\\\\\hline[NEWLINE]Set-valuedAAA\u0026$2.543\\cdot10^{-9}$\u0026$1.258\\cdot10^{-10}$\u0026$18.4$\u0026$27.3$\\\\[NEWLINE]SurrogateAAA\u0026$7.640\\cdot10^{-5}$\u0026$3.132\\cdot10^{-4}$\u0026$20.7$\u0026$31.8$\\\\[NEWLINE]VF(5iter)\u0026$1.476\\cdot10^{-4}$\u0026$1.270\\cdot10^{-11}$\u0026$49.2$\u0026$108.1$\\\\[NEWLINE]VF(10iter)\u0026$1.476\\cdot10^{-4}$\u0026$2.216\\cdot10^{-11}$\u0026$63.6$\u0026$146.4$\\\\[NEWLINE]RKFIT(5iter)\u0026$2.924\\cdot10^{-10}$\u0026$2.969\\cdot10^{-12}$\u0026$112.9$\u0026$269.1$\\\\[NEWLINE]RKFIT(10iter)\u0026$2.924\\cdot10^{-10}$\u0026$2.389\\cdot10^{-12}$\u0026$171.7$\u0026$341.2$\\\\[NEWLINE]Loewner\u0026$6.309\\cdot10^{-5}$\u0026$4.397\\cdot10^{-8}$\u0026$83.8$\u0026$86.8$\\\\[NEWLINE]block-AAA\u0026$6.272\\cdot10^{-12}$\u0026$3.530\\cdot10^{-12}$\u0026$143.8$\u0026$330.8$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06420_PaperMain_table_2.png","ground_truth":"\\begin{tabular}{ccccccccc}[NEWLINE]\\hline[NEWLINE]$\\text{N}$\u0026$\\text{NR}$\u0026$\\text{PR}$\u0026$\\text{NLUT}$\u0026$\\text{PLUT}$\u0026$\\text{NMULT}$\u0026$\\text{PNMULT}$\u0026$t_s$($\\text{ns}$)\u0026$R_s$($\\text{Msps}$)\\\\[NEWLINE]\\hline[NEWLINE]$8$\u0026$261$\u0026$\\approx0.09\\%$\u0026$6834$\u0026$\\approx4.53\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$92.87$\u0026$10.77$\\\\[NEWLINE]$10$\u0026$307$\u0026$\\approx0.10\\%$\u0026$7331$\u0026$\\approx4.86\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$98.44$\u0026$10.16$\\\\[NEWLINE]$12$\u0026$375$\u0026$\\approx0.12\\%$\u0026$8409$\u0026$\\approx5.58\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$98.68$\u0026$10.13$\\\\[NEWLINE]$14$\u0026$438$\u0026$\\approx0.15\\%$\u0026$9460$\u0026$\\approx6.28\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$99.98$\u0026$10.00$\\\\[NEWLINE]$16$\u0026$488$\u0026$\\approx0.16\\%$\u0026$10595$\u0026$\\approx7.03\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$104.31$\u0026$9.59$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_3.png","ground_truth":"\\begin{tabular}{ccccccccc}[NEWLINE]\\hline[NEWLINE]$\\text{N}$\u0026$\\text{NR}$\u0026$\\text{PR}$\u0026$\\text{NLUT}$\u0026$\\text{PLUT}$\u0026$\\text{NMULT}$\u0026$\\text{PNMULT}$\u0026$t_s$($\\text{ns}$)\u0026$R_s$($\\text{Msps}$)\\\\[NEWLINE]\\hline[NEWLINE]$8$\u0026$790$\u0026$\\approx0.26\\%$\u0026$5826$\u0026$\\approx3.87\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$66.08$\u0026$15.13$\\\\[NEWLINE]$10$\u0026$965$\u0026$\\approx0.32\\%$\u0026$6317$\u0026$\\approx4.19\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$72.16$\u0026$13.86$\\\\[NEWLINE]$12$\u0026$1164$\u0026$\\approx0.39\\%$\u0026$7434$\u0026$\\approx4.93\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$68.95$\u0026$14.50$\\\\[NEWLINE]$14$\u0026$1355$\u0026$\\approx0.45\\%$\u0026$8328$\u0026$\\approx5.53\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$73.23$\u0026$13.66$\\\\[NEWLINE]$16$\u0026$1537$\u0026$\\approx0.51\\%$\u0026$9298$\u0026$\\approx6.17\\%$\u0026$49$\u0026$\\approx6.38\\%$\u0026$74.56$\u0026$13.41$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_4.png","ground_truth":"\\begin{tabular}{ccc}[NEWLINE]\\hline[NEWLINE]$\\text{N}$\u0026$\\text{T}$\u0026$MSE$(seeEquation\\ref{MSEEq})\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{$8$}\u0026$4$\u0026\\multirow{4}{*}{$2.4\\times10^{-6}$}\\\\[NEWLINE]\u0026$6$\u0026\\\\[NEWLINE]\u0026$8$\u0026\\\\[NEWLINE]\u0026$10$\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{$10$}\u0026$4$\u0026\\multirow{4}{*}{$1.3\\times10^{-7}$}\\\\[NEWLINE]\u0026$6$\u0026\\\\[NEWLINE]\u0026$8$\u0026\\\\[NEWLINE]\u0026$10$\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{$12$}\u0026$4$\u0026\\multirow{4}{*}{$7.2\\times10^{-9}$}\\\\[NEWLINE]\u0026$6$\u0026\\\\[NEWLINE]\u0026$8$\u0026\\\\[NEWLINE]\u0026$10$\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{$14$}\u0026$4$\u0026\\multirow{4}{*}{$4.9\\times10^{-10}$}\\\\[NEWLINE]\u0026$6$\u0026\\\\[NEWLINE]\u0026$8$\u0026\\\\[NEWLINE]\u0026$10$\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{$16$}\u0026$4$\u0026\\multirow{4}{*}{$2.7\\times10^{-11}$}\\\\[NEWLINE]\u0026$6$\u0026\\\\[NEWLINE]\u0026$8$\u0026\\\\[NEWLINE]\u0026$10$\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_5.png","ground_truth":"\\begin{tabular}{cccccc}[NEWLINE]\\hline[NEWLINE]Setpoint\u0026$0-2\\,\\text{s}$\u0026$2\\,\\text{s}-4\\,\\text{s}$\u0026$4\\,\\text{s}-6\\,\\text{s}$\u0026$6\\,\\text{s}-8\\,\\text{s}$\u0026$8\\,\\text{s}-10\\,\\text{s}$\\\\[NEWLINE]\\hline\\noalign{\\smallskip}[NEWLINE]$\\theta^{sp}_1(n)$(Figure\\ref{FigResultsTheta1})\u0026$90\\degree$\u0026$0\\degree$\u0026$45\\degree$\u0026$-45\\degree$\u0026$90\\degree$\\\\[.1cm][NEWLINE]$\\theta^{sp}_2(n)$(Figure\\ref{FigResultsTheta2})\u0026$45\\degree$\u0026$45\\degree$\u0026$0\\degree$\u0026$22.5\\degree$\u0026$45\\degree$\\\\[.1cm][NEWLINE]$\\theta^{sp}_3(n)$(Figure\\ref{FigResultsTheta3})\u0026$45\\degree$\u0026$22.5\\degree$\u0026$0\\degree$\u0026$22.5\\degree$\u0026$45\\degree$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_6.png","ground_truth":"\\begin{tabular}{ccccccccccc}[NEWLINE]\\hline[NEWLINE]\\multirow{2}{*}{References}\u0026\\multirow{2}{*}{IM}\u0026\\multirow{2}{*}{NI}\u0026\\multirow{2}{*}{NR}\u0026\\multirow{2}{*}{NO}\u0026\\multirow{2}{*}{NB}\u0026\\multirow{2}{*}{Msps}\u0026\\multirow{2}{*}{Mflips}\u0026\\multirow{2}{*}{Thiswork}\u0026\\multicolumn{2}{c}{Speedup}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Msps\u0026Mflips\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl7A}(2013)}\u0026\\multirow{4}{*}{TS-IM}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$35$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$10$}\u0026\\multirow{4}{*}{$\\approx6.63$}\u0026\\multirow{4}{*}{$\\approx232.05$}\u0026TS-FIMM-OS\u0026$\\approx1.82\\times$\u0026$\\approx2.55\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx2.66\\times$\u0026$\\approx3.72\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx1.53\\times$\u0026$\\approx2.14\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx2.09\\times$\u0026$\\approx2.93\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl1}(2014)}\u0026\\multirow{4}{*}{TS-IM}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$6$}\u0026\\multirow{4}{*}{$3$}\u0026\\multirow{4}{*}{$8$}\u0026\\multirow{4}{*}{$\\approx1.00$}\u0026\\multirow{4}{*}{$\\approx6.00$}\u0026TS-FIMM-OS\u0026$\\approx11.94\\times$\u0026$\\approx97.43\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx17.55\\times$\u0026$\\approx143.20\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx10.77\\times$\u0026$\\approx87.88\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx15.13\\times$\u0026$\\approx123.46\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA3}(2015)}\u0026\\multirow{4}{*}{M-IM}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$49$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$16$}\u0026\\multirow{4}{*}{$\\approx0.51$}\u0026\\multirow{4}{*}{$\\approx25.00$}\u0026TS-FIMM-OS\u0026$\\approx22.11\\times$\u0026$\\approx22.11\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx33.28\\times$\u0026$\\approx33.28\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx18.79\\times$\u0026$\\approx18.79\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx26.28\\times$\u0026$\\approx26.28\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzy4}(2016)}\u0026\\multirow{4}{*}{M-IM}\u0026\\multirow{4}{*}{$4$}\u0026\\multirow{4}{*}{$9$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$8$}\u0026\\multirow{4}{*}{$\\approx5.36$}\u0026\\multirow{4}{*}{$\\approx48.23$}\u0026TS-FIMM-OS\u0026$\\approx2.18\\times$\u0026$\\approx12.13\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx3.20\\times$\u0026$\\approx17.83\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx1.97\\times$\u0026$\\approx10.94\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx2.76\\times$\u0026$\\approx15.37\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA1}(2018)}\u0026\\multirow{4}{*}{M-IM}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$25$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$16$}\u0026\\multirow{4}{*}{$\\approx1.67$}\u0026\\multirow{4}{*}{$\\approx41.75$}\u0026TS-FIMM-OS\u0026$\\approx6.75\\times$\u0026$\\approx13.23\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx10.17\\times$\u0026$\\approx19.93\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx5.74\\times$\u0026$\\approx11.25\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx8.03\\times$\u0026$\\approx15.74\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA6}(2019)}\u0026\\multirow{4}{*}{M-IM}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$25$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$8$}\u0026\\multirow{4}{*}{$\\approx1.00$}\u0026\\multirow{4}{*}{$\\approx25.00$}\u0026TS-FIMM-OS\u0026$\\approx11.94\\times$\u0026$\\approx23.40\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx17.55\\times$\u0026$\\approx34.40\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx10.77\\times$\u0026$\\approx21.11\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx15.13\\times$\u0026$\\approx29.65\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA8}(2019)}\u0026\\multirow{4}{*}{M-IM}\u0026\\multirow{4}{*}{$3$}\u0026\\multirow{4}{*}{$42$}\u0026\\multirow{4}{*}{$1$}\u0026\\multirow{4}{*}{$-$}\u0026\\multirow{4}{*}{$\\approx1.00$}\u0026\\multirow{4}{*}{$\\approx42.00$}\u0026TS-FIMM-OS\u0026$\\approx11.94\\times$\u0026$\\approx13.85\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx17.55\\times$\u0026$\\approx20.36\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx10.77\\times$\u0026$\\approx12.49\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx15.13\\times$\u0026$\\approx17.55\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl3}(2019)}\u0026\\multirow{4}{*}{TS-IM}\u0026\\multirow{4}{*}{$3$}\u0026\\multirow{4}{*}{$-$}\u0026\\multirow{4}{*}{$2$}\u0026\\multirow{4}{*}{$24$}\u0026\\multirow{4}{*}{$\\approx1.56$}\u0026\\multirow{4}{*}{$-$}\u0026TS-FIMM-OS\u0026$\\approx7.23\\times$\u0026$-$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx10.88\\times$\u0026$-$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx6.15\\times$\u0026$-$\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx8.59\\times$\u0026$-$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_7.png","ground_truth":"\\begin{tabular}{ccccccccc}[NEWLINE]\\hline[NEWLINE]\\multirow{2}{*}{References}\u0026\\multirow{2}{*}{FPGA}\u0026\\multirow{2}{*}{NLC}\u0026\\multirow{2}{*}{NMULT}\u0026\\multirow{2}{*}{NBitsM}\u0026\\multirow{2}{*}{Thiswork}\u0026\\multicolumn{3}{c}{$R_{\\text{occupation}}$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026NLC\u0026NMULT\u0026NBitsM\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl7A}(2013)}\u0026\\multirow{4}{*}{Spartan3A}\u0026\\multirow{4}{*}{$447$}\u0026\\multirow{4}{*}{$4$}\u0026\\multirow{4}{*}{$1512\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx26.24\\times$\u0026\\multirow{4}{*}{$\\approx12.25\\times$}\u0026\\multirow{4}{*}{$\\approx10^{-6}\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx22.61\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx26.24\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx22.61\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl1}(2014)}\u0026\\multirow{4}{*}{CycloneII}\u0026\\multirow{4}{*}{$1622$}\u0026\\multirow{4}{*}{$0$}\u0026\\multirow{4}{*}{$8.19\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx6.51\\times$\u0026\\multirow{4}{*}{$49\\times$}\u0026\\multirow{4}{*}{$\\approx10^{-3}\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx5.51\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx6.74\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx5.75\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA3}(2015)}\u0026\\multirow{4}{*}{ArriaVGX}\u0026\\multirow{4}{*}{$6496$}\u0026\\multirow{4}{*}{$0$}\u0026\\multirow{4}{*}{$6.592\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx2.53\\times$\u0026\\multirow{4}{*}{$49\\times$}\u0026\\multirow{4}{*}{$\\approx10^{-3}\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx2.21\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx2.61\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx2.29\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzy4}(2016)}\u0026\\multirow{4}{*}{Spartan6}\u0026\\multirow{4}{*}{$871$}\u0026\\multirow{4}{*}{$32$}\u0026\\multirow{4}{*}{$0\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx12.13\\times$\u0026\\multirow{4}{*}{$\\approx1.53\\times$}\u0026\\multirow{4}{*}{$1\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx10.28\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx12.56\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx10.71\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA1}(2018)}\u0026\\multirow{4}{*}{Spartan6}\u0026\\multirow{4}{*}{$11425$}\u0026\\multirow{4}{*}{$5$}\u0026\\multirow{4}{*}{$0\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx1.44\\times$\u0026\\multirow{4}{*}{$\\approx9.8\\times$}\u0026\\multirow{4}{*}{$1\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx1.25\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx1.48\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx1.30\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA8}(2019)}\u0026\\multirow{4}{*}{Virtex5}\u0026\\multirow{4}{*}{$13108$}\u0026\\multirow{4}{*}{$53$}\u0026\\multirow{4}{*}{$0\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx1.25\\times$\u0026\\multirow{4}{*}{$\\approx0.93\\times$}\u0026\\multirow{4}{*}{$1\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx1.09\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx1.29\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx1.13\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl3}(2019)}\u0026\\multirow{4}{*}{Virtex7}\u0026\\multirow{4}{*}{$12468$}\u0026\\multirow{4}{*}{$38$}\u0026\\multirow{4}{*}{$0\\,\\text{K}$}\u0026TS-FIMM-OS\u0026$\\approx1.32\\times$\u0026\\multirow{4}{*}{$\\approx1.29\\times$}\u0026\\multirow{4}{*}{$1\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$\\approx1.15\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$\\approx1.36\\times$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$\\approx1.19\\times$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06420_PaperMain_table_8.png","ground_truth":"\\begin{tabular}{cccccccc}[NEWLINE]\\hline[NEWLINE]\\multirow{2}{*}{References}\u0026\\multirow{2}{*}{FPGA}\u0026\\multirow{2}{*}{$N^{\\text{ref}}_g$}\u0026\\multirow{2}{*}{$F^{\\text{ref}}_{\\text{clk}}$(MHz)}\u0026\\multirow{2}{*}{Thiswork}\u0026\\multirow{2}{*}{$N^{\\text{work}}_g$}\u0026\\multirow{2}{*}{$F^{\\text{work}}_{\\text{clk}}$(MHz)}\u0026\\multirow{2}{*}{$S_d$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026\u0026\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl7A}(2013)}\u0026\\multirow{4}{*}{Spartan3A}\u0026\\multirow{4}{*}{$451$}\u0026\\multirow{4}{*}{$66.251$}\u0026TS-FIMM-OS\u0026$11779$\u0026\\multirow{4}{*}{$6.63$}\u0026$\\approx38.20\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$10157$\u0026\u0026$\\approx44.30\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$11779$\u0026\u0026$\\approx38.20\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$10157$\u0026\u0026$\\approx44.30\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA3}(2015)}\u0026\\multirow{4}{*}{ArriaVGX}\u0026\\multirow{4}{*}{$6496$}\u0026\\multirow{4}{*}{$125$}\u0026TS-FIMM-OS\u0026$16453$\u0026\\multirow{4}{*}{$0.51$}\u0026\\multirow{4}{*}{$\\approx10^6\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$14377$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$17001$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$14926$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzy4}(2016)}\u0026\\multirow{4}{*}{Spartan6}\u0026\\multirow{4}{*}{$903$}\u0026\\multirow{4}{*}{$20$}\u0026TS-FIMM-OS\u0026$6598$\u0026\\multirow{4}{*}{$5.36$}\u0026$\\approx4.42\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$5590$\u0026\u0026$\\approx5.22\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$6834$\u0026\u0026$\\approx4.27\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$5826$\u0026\u0026$\\approx5.01\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFuzzyControlFPGA1}(2018)}\u0026\\multirow{4}{*}{Spartan6}\u0026\\multirow{4}{*}{$11430$}\u0026\\multirow{4}{*}{$10$}\u0026TS-FIMM-OS\u0026$10252$\u0026\\multirow{4}{*}{$1.67$}\u0026$\\approx149.16\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$8955$\u0026\u0026$\\approx170.70\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$10595$\u0026\u0026$\\approx144.35\\times$\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$9298$\u0026\u0026$\\approx164.42\\times$\\\\[NEWLINE]\\hline[NEWLINE]\\multirow{4}{*}{\\cite{PaperFPGAFuzzySugenoControl3}(2019)}\u0026\\multirow{4}{*}{Virtex7}\u0026\\multirow{4}{*}{$12506$}\u0026\\multirow{4}{*}{$150$}\u0026TS-FIMM-OS\u0026$10252$\u0026\\multirow{4}{*}{$1.56$}\u0026\\multirow{4}{*}{$\\approx10^5\\times$}\\\\[NEWLINE]\u0026\u0026\u0026\u0026TS-FIMM-P\u0026$8955$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-OS\u0026$10595$\u0026\u0026\\\\[NEWLINE]\u0026\u0026\u0026\u0026Fuzzy-PI-P\u0026$9298$\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06421_chen_CL2009-2144_table_0.png","ground_truth":"\\begin{tabular}{|c||c|}[NEWLINE]%\\hline[NEWLINE]%One\u0026Two\\\\[NEWLINE]%\\hline[NEWLINE]%Three\u0026Four\\\\[NEWLINE]%\\hline[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.06424_main_table_0.png","ground_truth":"\\begin{tabular}{lcc}[NEWLINE]\\hline\\hline[NEWLINE]Model\u0026NDP\u0026BIC\\\\[NEWLINE]\\hline[NEWLINE](1)M1\u00262\u0026178.5\\\\[NEWLINE](2)M4\u00265\u0026164.2\\\\[NEWLINE](3)M1$\\times$M4\u00267\u0026137.9\\\\[NEWLINE](4)M1$\\times$M4$\\times$MX\u00268\u0026142.3\\\\[NEWLINE](5)M1$\\times$M4$\\times$MY\u00268\u0026143.1\\\\[NEWLINE](6)M1$\\times$M4$\\times$(MX+MY)\u00269\u0026143.7\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06425_arXiv1_table_0.png","ground_truth":"\\begin{tabular}{|c|c|}[NEWLINE]\\hline[NEWLINE]$d=$dim$(\\pa\\cm)$\u0026Conditions\\\\[NEWLINE]\\hline[NEWLINE]2\u0026Euler$(\\pa\\cm)=0$\\\\[NEWLINE]3\u0026--\\\\[NEWLINE]even$\u003e2$\u0026Weyl$(\\pa\\cm)=0$\\\u0026Euler$(\\pa\\cm)=0$\\\\[NEWLINE]odd$\u003e3$\u0026Weyl$(\\pa\\cm)=0$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06430_tab_cats_dogs_table_0.png","ground_truth":"\\begin{tabular}{rcccccccccccccc}[NEWLINE][NEWLINE]\\multicolumn{3}{c}{\\footnotesize{\\textbf{Cats\\\u0026Dogsexperiment}}}\\\\[NEWLINE][NEWLINE]\\toprule[NEWLINE][NEWLINE][NEWLINE]\u0026\\multicolumn{1}{c}{\\textbf{TrainonTB1}}\u0026\\multicolumn{1}{c}{\\textbf{TrainonTB2}}\\\\[NEWLINE][NEWLINE]\\cmidrule(r){2-3}\\cmidrule(r){4-5}[NEWLINE][NEWLINE]\\textbf{Method}\u0026\\textbf{TB2}\u0026\\textbf{TB1}\\\\[NEWLINE][NEWLINE]\\midrule[NEWLINE][NEWLINE]%\u0026\\multicolumn{4}{c}{\\textbf{LearnGender,UnlearnAge}}\\\\[NEWLINE][NEWLINE]%\\cmidrule(r){2-5}[NEWLINE][NEWLINE]ERM($\\lambda=0.0$)\u0026$0.749\\pm0.020$\u0026$0.692\\pm0.007$\\\\[NEWLINE][NEWLINE][NEWLINE]Alvietal.~\\cite{zisserman2018}\u0026$0.852$~\\cite{kim2019cvpr}\u0026$0.781$~\\cite{kim2019cvpr}\\\\[NEWLINE][NEWLINE][NEWLINE]Kimetal.~\\cite{kim2019cvpr}\u0026$0.903$\u0026$0.873$\\\\[NEWLINE][NEWLINE][NEWLINE]\\textit{Ours}\u0026$0.882$\u0026$0.793$\\\\[NEWLINE][NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06430_tab_fairness_german_table_0.png","ground_truth":"\\begin{tabular}{rcccccccccccccc}[NEWLINE][NEWLINE]\\multicolumn{6}{c}{\\footnotesize{\\textbf{Germanexperiment}}}\\\\[NEWLINE][NEWLINE]\\toprule[NEWLINE][NEWLINE]\u0026\\multicolumn{5}{c}{\\textbf{Method}}\\\\[NEWLINE]\\cmidrule(r){2-6}[NEWLINE][NEWLINE]\u0026SVM~\\cite{donini2018empirical}\u0026FERM~\\cite{donini2018empirical}\u0026NN~\\cite{mary2019fairness}\u0026NN+$\\chi^2$~\\cite{mary2019fairness}\u0026\\textit{Ours($\\lambda=1.0$)}\\\\[NEWLINE][NEWLINE]\\midrule[NEWLINE][NEWLINE]Acc.\u0026$0.74\\pm0.03$\u0026$0.73\\pm0.04$\u0026$0.74\\pm0.04$\u0026$0.73\\pm0.03$\u0026$0.72\\pm0.03$\\\\[NEWLINE][NEWLINE][NEWLINE]EO\u0026$0.10\\pm0.06$\u0026$0.05\\pm0.03$\u0026$0.47\\pm0.19$\u0026$0.25\\pm0.14$\u0026$0.05\\pm0.05$\\\\[NEWLINE][NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06430_tab_imdb_table_0.png","ground_truth":"\\begin{tabular}{rcccc}[NEWLINE][NEWLINE]\\multicolumn{5}{c}{}\\\\[NEWLINE][NEWLINE]\\toprule[NEWLINE][NEWLINE][NEWLINE]\u0026\\multicolumn{2}{c}{\\textbf{TrainonEB1}}\u0026\\multicolumn{2}{c}{\\textbf{TrainonEB2}}\\\\[NEWLINE][NEWLINE]\\cmidrule(r){2-3}\\cmidrule(r){4-5}[NEWLINE][NEWLINE]\\textbf{Method}\u0026\\textbf{EB2}\u0026\\textbf{Test}\u0026\\textbf{EB1}\u0026\\textbf{Test}\\\\[NEWLINE][NEWLINE]\\midrule[NEWLINE][NEWLINE]ERM($\\lambda=0.0$)\u0026$0.650\\pm0.020$\u0026$0.849\\pm0.007$\u0026$0.576\\pm0.013$\u0026$0.708\\pm0.008$\\\\[NEWLINE]%ERM\u0026$0.6503\\pm0.020$\u0026$0.8493\\pm0.007$\u0026$0.5758\\pm.013$\u0026$0.7079\\pm0.008$\\\\[NEWLINE][NEWLINE]Alvietal.~\\cite{zisserman2018}\u0026$0.637$~\\cite{kim2019cvpr}\u0026$0.856$~\\cite{kim2019cvpr}\u0026$0.573$~\\cite{kim2019cvpr}\u0026$0.699$~\\cite{kim2019cvpr}\\\\[NEWLINE]%Alvietal.~\\cite{zisserman2018}\u0026$0.6374$\u0026$0.8556$\u0026$0.5733$\u0026$0.6990$\\\\[NEWLINE][NEWLINE]Kimetal.~\\cite{kim2019cvpr}\u0026$0.680$\u0026$0.867$\u0026$0.642$\u0026$0.745$\\\\[NEWLINE]%Kimetal.~\\cite{kim2019cvpr}\u0026$0.6800$\u0026$0.8666$\u0026$0.6418$\u0026$0.7450$\\\\[NEWLINE][NEWLINE]\\textit{Ours}\u0026$0.684\\pm0.010$\u0026$0.872\\pm0.010$\u0026$0.631\\pm0.034$\u0026$0.745\\pm0.021$\\\\[NEWLINE]%\\textit{Ours}\u0026$0.6835\\pm0.010$\u0026$0.8718\\pm0.010$\u0026$0.5955\\pm0.005$\u0026$0.7226\\pm0.003$\\\\[NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06430_table_merged_table_0.png","ground_truth":"\\begin{tabular}{rcccccccccccccc}[NEWLINE][NEWLINE]\\multicolumn{5}{c}{\\footnotesize{\\textbf{IMBDexperiment}}}\\\\[NEWLINE][NEWLINE]\\toprule[NEWLINE][NEWLINE][NEWLINE]\u0026\\multicolumn{2}{c}{\\textbf{TrainonEB1}}\u0026\\multicolumn{2}{c}{\\textbf{TrainonEB2}}\\\\[NEWLINE][NEWLINE]\\cmidrule(r){2-3}\\cmidrule(r){4-5}[NEWLINE][NEWLINE]\\textbf{Method}\u0026\\textbf{EB2}\u0026\\textbf{Test}\u0026\\textbf{EB1}\u0026\\textbf{Test}\\\\[NEWLINE][NEWLINE]\\midrule[NEWLINE][NEWLINE]%\u0026\\multicolumn{4}{c}{\\textbf{LearnGender,UnlearnAge}}\\\\[NEWLINE][NEWLINE]%\\cmidrule(r){2-5}[NEWLINE][NEWLINE]ERM($\\lambda=0.0$)\u0026$0.650\\pm0.020$\u0026$0.849\\pm0.007$\u0026$0.576\\pm0.013$\u0026$0.708\\pm0.008$\\\\[NEWLINE]%ERM\u0026$0.6503\\pm0.020$\u0026$0.8493\\pm0.007$\u0026$0.5758\\pm.013$\u0026$0.7079\\pm0.008$\\\\[NEWLINE][NEWLINE]Alvietal.~\\cite{zisserman2018}\u0026$0.637$~\\cite{kim2019cvpr}\u0026$0.856$~\\cite{kim2019cvpr}\u0026$0.573$~\\cite{kim2019cvpr}\u0026$0.699$~\\cite{kim2019cvpr}\\\\[NEWLINE]%Alvietal.~\\cite{zisserman2018}\u0026$0.6374$\u0026$0.8556$\u0026$0.5733$\u0026$0.6990$\\\\[NEWLINE][NEWLINE]Kimetal.~\\cite{kim2019cvpr}\u0026$0.680$\u0026$0.867$\u0026$0.642$\u0026$0.745$\\\\[NEWLINE]%Kimetal.~\\cite{kim2019cvpr}\u0026$0.6800$\u0026$0.8666$\u0026$0.6418$\u0026$0.7450$\\\\[NEWLINE][NEWLINE]\\textit{Ours}\u0026$0.684\\pm0.010$\u0026$0.872\\pm0.010$\u0026$0.6279\\pm0.036$\u0026$0.744\\pm0.022$\\\\[NEWLINE][NEWLINE][NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06439_experiment_table_0.png","ground_truth":"\\begin{tabular}{|c||c|}[NEWLINE]\\hline[NEWLINE]Method\u0026Accuracy\\\\[NEWLINE]\\hline[NEWLINE]Petridis\\cite{petridis2018end}\u002682.00\\%\\\\[NEWLINE]\\hline[NEWLINE]Petridis\\cite{petridis2018end}(ourre-implement)\u002681.70\\%\\\\[NEWLINE]\\hline\\hline[NEWLINE]TheModifiedBaselineArchitecture\u0026\\textbf{82.14\\%}\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06439_experiment_table_1.png","ground_truth":"\\begin{tabular}{|c|c|c|c|}[NEWLINE]\\hline[NEWLINE]Class\u0026Baseline\u0026BaselinewithLMIM\u0026Improvement\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]MAKES\u002662\\%\u002674\\%\u0026\\textbf{12\\%}\\\\[NEWLINE]\\hline[NEWLINE]MAKING\u002680\\%\u002692\\%\u0026\\textbf{12\\%}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]POLITICAL\u002682\\%\u002690\\%\u0026\\textbf{8\\%}\\\\[NEWLINE]\\hline[NEWLINE]POLITICS\u002684\\%\u002692\\%\u0026\\textbf{8\\%}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]STAND\u002648\\%\u002660\\%\u0026\\textbf{12\\%}\\\\[NEWLINE]\\hline[NEWLINE]STAGE\u002670\\%\u002680\\%\u0026\\textbf{10\\%}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]NORTH\u002678\\%\u002690\\%\u0026\\textbf{12\\%}\\\\[NEWLINE]\\hline[NEWLINE]NOTHING\u002678\\%\u002686\\%\u0026\\textbf{8\\%}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]SPEND\u002636\\%\u002646\\%\u0026\\textbf{10\\%}\\\\[NEWLINE]\\hline[NEWLINE]SPENDING\u002678\\%\u002682\\%\u0026\\textbf{4\\%}\\\\[NEWLINE]\\hline[NEWLINE][NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06455_main_table_11.png","ground_truth":"\\begin{tabular}{ccc}[NEWLINE]\\hline[NEWLINE]\\text{TestMethod}\u0026normalgroup\u0026colontumorgroup\\\\[NEWLINE]\\hline[NEWLINE]PREPR\u00260.035\u00260.022\\\\[NEWLINE]BS\u00260.087\u00260.066\\\\[NEWLINE]SD\u00260.009\u00260.007\\\\[NEWLINE]CQ\u00260.010\u00260.011\\\\[NEWLINE]GM\u00260.949\u00260.931\\\\[NEWLINE]GL\u00260.946\u00260.926\\\\[NEWLINE]CLX\u00260.112\u00260.040\\\\[7pt][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06455_main_table_12.png","ground_truth":"\\begin{tabular}{ccc}[NEWLINE]\\hline[NEWLINE]\\text{TestMethod}\u0026medulloblastomatumor\u0026ATRTtumor\\\\[NEWLINE]\\hline[NEWLINE]PREPR\u00260.045\u00260.040\\\\[NEWLINE]BS\u00260.058\u00260.056\\\\[NEWLINE]SD\u00260.010\u00260.006\\\\[NEWLINE]CQ\u00260.058\u00260.056\\\\[NEWLINE]GM\u00260.883\u00260.884\\\\[NEWLINE]GL\u00260.982\u00260.966\\\\[NEWLINE]CLX\u00261.000\u00260.990\\\\[7pt][NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06560_multitask_frozen_table_0.png","ground_truth":"\\begin{tabular}{|ll|ll|ll|ll|}[NEWLINE]\\hline[NEWLINE]\u0026\u0026\\multicolumn{2}{l|}{Frozen$f_r^*$}\u0026\\multicolumn{2}{l|}{Frozen$f_c^*$}\\\\\\cline{3-6}[NEWLINE]\u0026\u0026$k=10$\u0026$k=c_t$\u0026$k=10$\u0026$k=c_t$\\\\\\cline{3-6}[NEWLINE]$f_r$\u0026$f_c$\u0026accuracy\u0026accuracy\u0026accuracy\u0026accuracy\\\\\\hline[NEWLINE]GAT\u0026E-GAT\u00260.128\u00260.382\u00260.103\u00260.242\\\\[NEWLINE]Param\u0026E-GAT\u00260.098\u00260.356\u00260.422\u00260.485\\\\[NEWLINE]GCN\u0026E-GAT\u00260.068\u00260.333\u00260.067\u00260.31\\\\[NEWLINE]GAT\u0026RGCN\u00260.197\u00260.335\u00260.09\u00260.289\\\\[NEWLINE]Param\u0026RGCN\u00260.174\u00260.321\u00260.145\u00260.301\\\\[NEWLINE]GCN\u0026RGCN\u00260.155\u00260.29\u00260.123\u00260.329\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06560_multitask_inductive_table_0.png","ground_truth":"\\begin{tabular}{|ll|ll|l|}[NEWLINE]%\\hline[NEWLINE]%\u0026\u0026\\multicolumn{1}{c|}{S}\u0026\\multicolumn{1}{c|}{S+D}\u0026\\multicolumn{1}{c|}{D}\\\\\\cline{3-5}[NEWLINE]%$f_r$\u0026$f_c$\u0026Accuracy\u0026Accuracy\u0026Accuracy\\\\\\hline[NEWLINE]%GAT\u0026E-GAT\u0026\\textbf{0.534}\\pm{0.11}\u0026\\textbf{0.534}\\pm{0.09}\u0026\\textbf{0.515}\\pm{0.16}\\\\[NEWLINE]%GAT\u0026RGCN\u00260.474\\pm{0.11}\u00260.502\\pm{0.09}\u00260.45\\pm{0.17}\\\\[NEWLINE]%GCN\u0026E-GAT\u00260.522\\pm{0.1}\u00260.533\\pm{0.09}\u00260.499\\pm{0.15}\\\\[NEWLINE]%GCN\u0026RGCN\u00260.448\\pm{0.09}\u00260.476\\pm{0.09}\u00260.451\\pm{0.17}\\\\\\hline[NEWLINE]%Param\u0026E-GAT\u00260.507\\pm{0.09}\u00260.5\\pm{0.09}\u00260.504\\pm{0.14}\\\\[NEWLINE]%Param\u0026RGCN\u00260.416\\pm{0.07}\u00260.449\\pm{0.07}\u00260.396\\pm{0.13}\\\\\\hline[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.06560_related_data_table_0.png","ground_truth":"\\begin{tabular}{|lllllllll|}[NEWLINE]\\hline[NEWLINE]%Dataset\u0026\\textbf{IR}\u0026\\textbf{D}\u0026\\textbf{T}\u0026\\textbf{I}\u0026\\textbf{M}\u0026\\textbf{TS}\\\\\\hline[NEWLINE]%CLEVR\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\xmark\u0026Vision\u0026S\\\\[NEWLINE]%Cogent\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026S\\\\[NEWLINE]%CLUTRR\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026S\\\\[NEWLINE]%SCAN\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026S+Meta\\\\[NEWLINE]%SQoOP\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026S\\\\[NEWLINE]%TextWorld\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026S+Meta+Mult\\\\[NEWLINE]%GraphLog\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026Graph\u0026S+Meta+Mult\\\\\\hline[NEWLINE]%Dataset\u0026\\textbf{IR}\u0026\\textbf{D}\u0026\\textbf{T}\u0026\\textbf{I}\u0026\\textbf{M}\u0026\\textbf{S}\u0026\\textbf{Me}\u0026\\textbf{Mu}\u0026\\textbf{CL}\\\\\\hline[NEWLINE]%CLEVR\\cite{johnson2017clevr}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\xmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]%CoGenT\\cite{johnson2017clevr}\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]%CLUTRR\\cite{sinha2019clutrr}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]%SCAN\\cite{lake2017generalization}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\cmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]%SQoOP\\cite{bahdanau2018systematic}\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]%TextWorld\\cite{cote2018textworld}\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\[NEWLINE]%GraphLog(Proposed)\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026Graph\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\\\hline[NEWLINE]Dataset\u0026\\textbf{IR}\u0026\\textbf{D}\u0026\\textbf{CG}\u0026\\textbf{M}\u0026\\textbf{S}\u0026\\textbf{Me}\u0026\\textbf{Mu}\u0026\\textbf{CL}\\\\\\hline[NEWLINE]CLEVR\\cite{johnson2017clevr}\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]CoGenT\\cite{johnson2017clevr}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]CLUTRR\\cite{sinha2019clutrr}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]SCAN\\cite{lake2017generalization}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\cmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]SQoOP\\cite{bahdanau2018systematic}\u0026\\cmark\u0026\\xmark\u0026\\cmark\u0026Vision\u0026\\cmark\u0026\\xmark\u0026\\xmark\u0026\\xmark\\\\[NEWLINE]TextWorld\\cite{cote2018textworld}\u0026\\xmark\u0026\\cmark\u0026\\cmark\u0026Text\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\[NEWLINE]GraphLog(Proposed)\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026Graph\u0026\\cmark\u0026\\cmark\u0026\\cmark\u0026\\cmark\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06560_supervised_table_0.png","ground_truth":"\\begin{tabular}{|ll|l|}[NEWLINE]\\hline[NEWLINE]\u0026\u0026Inductive\\\\\\cline{3-3}[NEWLINE]$f_r$\u0026$f_c$\u0026accuracy\\\\\\hline[NEWLINE]GAT\u0026E-GAT\u00260.655\\\\[NEWLINE]Param\u0026E-GAT\u00260.627\\\\[NEWLINE]GCN\u0026E-GAT\u00260.623\\\\[NEWLINE]GAT\u0026RGCN\u00260.548\\\\[NEWLINE]Param\u0026RGCN\u00260.457\\\\[NEWLINE]GCN\u0026RGCN\u00260.498\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06561_experiment_table_0.png","ground_truth":"\\begin{tabular}{c|l|c|c|c|c|c|c|}[NEWLINE]\\hline[NEWLINE]\u0026\\multicolumn{1}{c|}{}\u0026\\multicolumn{3}{c|}{LuceneBaseline}\u0026\\multicolumn{3}{c|}{SemanticSearch}\\\\\\hline[NEWLINE]\u0026Query\u0026\\textbf{DCG@3}\u0026\\textbf{DCG@5}\u0026\\textbf{DCG@10}\u0026\\textbf{DCG@3}\u0026\\textbf{DCG@5}\u0026\\textbf{DCG@10}\\\\\\hline[NEWLINE]1\u0026NewYorkwater\u00261.35\u00261.91\u00264.07\u0026\\textbf{5.90}\u0026\\textbf{8.20}\u0026\\textbf{11.78}\\\\\\hline[NEWLINE]2\u0026Californiafire\u0026\\textbf{9.12}\u0026\\textbf{11.27}\u0026\\textbf{14.81}\u00268.25\u002610.67\u002614.36\\\\\\hline[NEWLINE]3\u0026Californiapopulationdensity\u00263.72\u00265.18\u00267.26\u0026\\textbf{6.97}\u0026\\textbf{9.38}\u0026\\textbf{12.88}\\\\\\hline[NEWLINE]4\u0026VacationinHawaii\u00263.85\u00265.05\u00267.93\u0026\\textbf{8.60}\u0026\\textbf{11.54}\u0026\\textbf{15.50}\\\\\\hline[NEWLINE]5\u0026Floridaflood\u00268.53\u002610.71\u002613.12\u0026\\textbf{8.70}\u0026\\textbf{10.38}\u0026\\textbf{14.60}\\\\\\hline[NEWLINE]6\u0026WeatherinIowa\u00263.30\u00265.44\u00267.40\u0026\\textbf{5.51}\u0026\\textbf{7.97}\u0026\\textbf{11.67}\\\\\\hline[NEWLINE]7\u0026Chicagotraffic\u00266.55\u00267.41\u002610.36\u0026\\textbf{8.81}\u0026\\textbf{11.60}\u0026\\textbf{15.55}\\\\\\hline[NEWLINE]8\u0026LibrariesinMontana\u0026\\textbf{9.40}\u0026\\textbf{12.57}\u0026\\textbf{15.30}\u00269.29\u002612.56\u002615.26\\\\\\hline[NEWLINE]9\u0026NaturaldisastersinUtah\u00263.18\u00265.45\u00268.30\u0026\\textbf{7.22}\u0026\\textbf{8.82}\u0026\\textbf{10.85}\\\\\\hline[NEWLINE]10\u0026CrimesinTennesseestate\u0026\\textbf{5.03}\u0026\\textbf{7.54}\u0026\\textbf{11.90}\u00261.74\u00261.97\u00262.92\\\\\\hline[NEWLINE]11\u0026Californiatransportation\u00265.28\u00265.95\u00267.36\u0026\\textbf{6.44}\u0026\\textbf{8.73}\u0026\\textbf{12.68}\\\\\\hline[NEWLINE]12\u0026AgricultureinMichigan\u00266.32\u00267.03\u00268.61\u0026\\textbf{8.69}\u0026\\textbf{9.98}\u0026\\textbf{12.36}\\\\\\hline[NEWLINE]13\u0026Californiaweather\u00266.11\u00268.27\u002610.49\u0026\\textbf{6.93}\u0026\\textbf{9.18}\u0026\\textbf{12.42}\\\\\\hline[NEWLINE]14\u0026TouristattractioninLA\u00261.57\u00262.03\u00263.43\u0026\\textbf{6.43}\u0026\\textbf{8.18}\u0026\\textbf{11.35}\\\\\\hline[NEWLINE]15\u0026HurricaneinLouisiana\u00264.18\u00265.64\u00269.33\u0026\\textbf{7.11}\u0026\\textbf{9.22}\u0026\\textbf{13.20}\\\\\\hline[NEWLINE]16\u0026UniversitiesinBoston\u00262.14\u00262.68\u00264.30\u0026\\textbf{5.66}\u0026\\textbf{7.23}\u0026\\textbf{9.10}\\\\\\hline[NEWLINE]17\u0026HospitalsinNewYork\u00261.90\u00262.63\u00264.41\u0026\\textbf{5.82}\u0026\\textbf{8.70}\u0026\\textbf{12.17}\\\\\\hline[NEWLINE]18\u0026GrocerystoreinSeattle\u00266.12\u00268.17\u002611.28\u0026\\textbf{10.40}\u0026\\textbf{13.93}\u0026\\textbf{16.99}\\\\\\hline[NEWLINE]19\u0026HighwaysinLosAngeles\u00262.22\u00262.92\u00264.19\u0026\\textbf{7.64}\u0026\\textbf{9.09}\u0026\\textbf{10.26}\\\\\\hline[NEWLINE]20\u0026AirpollutionofNewYork\u00266.88\u00268.37\u00269.76\u0026\\textbf{7.04}\u0026\\textbf{9.55}\u0026\\textbf{12.71}\\\\\\hline[NEWLINE]\u0026\\textbf{AverageDCG}\u00264.84\u00266.31\u00268.68\u0026\\textbf{7.16}\u0026\\textbf{9.34}\u0026\\textbf{12.43}\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06566_arxiv_table_1.png","ground_truth":"\\begin{tabular}{c|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{2}{c}{\\textbf{PGD\\textsubscript{10}}(Clean)}\\\\[NEWLINE]\u0026CIFAR-10\u0026CIFAR-100\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026-\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u002661.57$\\pm$1.30\\textcolor{grey}{(84.2$\\pm$1.26)}\u002630.85$\\pm$1.04\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM\u00260.0$\\pm$0.0\\textcolor{grey}{(94.5$\\pm$0.14)}\u00260.0$\\pm$0.01\\textcolor{grey}{(64.5$\\pm$0.10)}\\\\[NEWLINE]VarERM\u00260.27$\\pm$0.07\\textcolor{grey}{(90.22$\\pm$0.43)}\u00260.7$\\pm$0.04\\textcolor{grey}{(63.28$\\pm$0.46)}\\\\[NEWLINE]\\textit{adv}-VarERM\u00261.01$\\pm$0.02\\textcolor{grey}{(88.47$\\pm$0.39)}\u00260.56$\\pm$0.05\\textcolor{grey}{(62.74$\\pm$0.26)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup\\cite{mixup}\u00267.5$\\pm$0.32\\textcolor{grey}{(95.5$\\pm$0.35)}\u00260.36$\\pm$0.12\\textcolor{grey}{(76.8$\\pm$0.41)}\\\\[NEWLINE]VarMixup\u002612.34$\\pm$0.37\\textcolor{grey}{(91.91$\\pm$0.45)}\u00260.72$\\pm$0.12\\textcolor{grey}{(67.2$\\pm$0.44)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u002617.66$\\pm$0.23\\textcolor{grey}{(89.19$\\pm$0.32)}\u00260.74$\\pm$0.19\\textcolor{grey}{(67.13$\\pm$0.34)}\\\\[NEWLINE][NEWLINE]\\cline{1-3}[NEWLINE]ERM+MI\u002612.4$\\pm$1.02\\textcolor{grey}{(60.23$\\pm$0.97)}\u00262.4$\\pm$1.11\\textcolor{grey}{(35.46$\\pm$0.92)}\\\\[NEWLINE]VarERM+VarMI\u002630.49$\\pm$1.03\\textcolor{grey}{(56.38$\\pm$1.0)}\u002612.04$\\pm$0.98\\textcolor{grey}{(33.88$\\pm$1.10)}\\\\[NEWLINE]\\textit{adv}-VarERM+\\textit{adv}-VarMI\u002638.13$\\pm$1.09\\textcolor{grey}{(53.30$\\pm$0.95)}\u002611.45$\\pm$1.01\\textcolor{grey}{(31.79$\\pm$1.20)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup+MI\\cite{mixup-inf}\u002625.76$\\pm$1.12\\textcolor{grey}{(86.84$\\pm$1.05)}\u00266.71$\\pm$1.03\\textcolor{grey}{(67.8$\\pm$1.06)}\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{66.84$\\pm$1.08}\\textcolor{grey}{(82.15$\\pm$0.92)}\u0026\\underline{35.8$\\pm$1.24}\\textcolor{grey}{(63.5$\\pm$1.34)}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{68.66$\\pm$1.21}\\textcolor{grey}{(82.06$\\pm$1.19)}\u0026\\textbf{40.13$\\pm$1.2}\\textcolor{grey}{(63.98$\\pm$1.32)}\\\\[NEWLINE][NEWLINE]%AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]%LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]%IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]%TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]%LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026-\\\\[NEWLINE]%IAT+MI\\cite{mixup-inf}\u002661.57$\\pm$1.30\\textcolor{grey}{(84.2$\\pm$1.26)}\u002630.85$\\pm$1.04\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE][NEWLINE][NEWLINE]\\hline\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{2}{c}{\\textbf{PGD\\textsubscript{10}}(Clean)}\\\\[NEWLINE]\u0026SVHN\u0026Tiny-Imagenet\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002654.58$\\pm$0.53\\textcolor{grey}{(91.88$\\pm$0.34)}\u00263.78$\\pm$0.21\\textcolor{grey}{(22.33$\\pm$0.16)}\\\\[NEWLINE]LAT\\cite{LAT}\u002660.23\\textcolor{grey}{(91.65)}\u0026-\\\\[NEWLINE]IAT\\cite{IAT}\u002654.83$\\pm$0.67\\textcolor{grey}{(93.41$\\pm$0.47)}\u002612.13$\\pm0.18$\\textcolor{grey}{(51.94$\\pm$0.28)}\\\\[NEWLINE]TRADES\\cite{trades}\u0026-\u00263.83$\\pm$0.12\\textcolor{grey}{(26.12$\\pm$0.38)}\\\\[NEWLINE]%\u0026LLR\\cite{local-lin}\u0026\u0026\\\\[NEWLINE]CURE\\cite{curvature-reg}\u002632.43$\\pm$0.02\\textcolor{grey}{(79.28$\\pm$0.01)}\u0026-\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u002660.0$\\pm$1.09\\textcolor{grey}{(80.0$\\pm$1.34)}\u002612.1$\\pm$0.24\\textcolor{grey}{(18.08$\\pm$0.34)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM\u00260.45$\\pm$0.11\\textcolor{grey}{(95.47$\\pm$0.56)}\u00260.0$\\pm$0.0\\textcolor{grey}{(49.96$\\pm$0.12)}\\\\[NEWLINE]VarERM\u00260.67$\\pm$0.23\\textcolor{grey}{(95.60$\\pm$0.55)}\u00260.1$\\pm$0.03\\textcolor{grey}{(46.35$\\pm$0.36)}\\\\[NEWLINE]\\textit{adv}-VarERM\u00260.17$\\pm$0.08\\textcolor{grey}{(95.10$\\pm$0.56)}\u00260.04$\\pm$0.01\\textcolor{grey}{(43.87$\\pm$0.27)}\\\\[NEWLINE][NEWLINE]\\cline{1-3}[NEWLINE]Mixup\u00264.28$\\pm$0.52\\textcolor{grey}{(96.54$\\pm$0.49)}\u00260.0$\\pm$0.0\\textcolor{grey}{(53.83$\\pm$0.17)}\\\\[NEWLINE]VarMixup\u00262.59$\\pm$0.50\\textcolor{grey}{(96.72$\\pm$0.48)}\u00260.01$\\pm$0.01\\textcolor{grey}{(46.98$\\pm$0.11)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u00263.38$\\pm$0.53\\textcolor{grey}{(95.64$\\pm$0.50)}\u00260.0$\\pm$0.0\\textcolor{grey}{(46.58$\\pm$0.23)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM+MI\u002637.00$\\pm$0.98\\textcolor{grey}{(71.85$\\pm$1.21)}\u00261.54$\\pm$0.05\\textcolor{grey}{(25.56$\\pm$0.83)}\\\\[NEWLINE]VarERM+VarMI\u002638.25$\\pm$0.99\\textcolor{grey}{(66.93$\\pm$1.20)}\u00265.8$\\pm$0.14\\textcolor{grey}{(23.61$\\pm$0.72)}\\\\[NEWLINE]\\textit{adv}-VarERM+\\textit{adv}-VarMI\u002653.81$\\pm$1.05\\textcolor{grey}{(69.78$\\pm$1.29)}\u00267.27$\\pm$0.19\\textcolor{grey}{(25.73$\\pm$0.77)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup+MI\u002637.05$\\pm$1.30\\textcolor{grey}{(89.97$\\pm$1.34)}\u00262.93$\\pm$0.5\\textcolor{grey}{(47.2$\\pm$0.23)}\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{78.08$\\pm$1.05}\\textcolor{grey}{(88.45$\\pm$1.11)}\u0026\\underline{12.75$\\pm$0.42}\\textcolor{grey}{(42.88$\\pm$0.15)}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{87.20$\\pm$1.09}\\textcolor{grey}{(88.40$\\pm$1.12)}\u0026\\textbf{19.9$\\pm$0.53}\\textcolor{grey}{(44.18$\\pm$0.24)}\\\\[NEWLINE]%\\cline{1-3}[NEWLINE]%AT\\cite{at@madry}\u002654.58$\\pm$0.53\\textcolor{grey}{(91.88$\\pm$0.34)}\u00263.78$\\pm$0.21\\textcolor{grey}{(22.33$\\pm$0.16)}\\\\[NEWLINE]%LAT\\cite{LAT}\u002660.23\\textcolor{grey}{(91.65)}\u0026-\\\\[NEWLINE]%IAT\\cite{IAT}\u002654.83$\\pm$0.67\\textcolor{grey}{(93.41$\\pm$0.47)}\u002612.13$\\pm0.18$\\textcolor{grey}{(51.94$\\pm$0.28)}\\\\[NEWLINE]%TRADES\\cite{trades}\u0026-\u00263.83$\\pm$0.12\\textcolor{grey}{(26.12$\\pm$0.38)}\\\\[NEWLINE]%%\u0026LLR\\cite{local-lin}\u0026\u0026\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u002656.3\\textcolor{grey}{(91.1)}\u0026\\\\[NEWLINE]%IAT+MI\\cite{mixup-inf}\u002660.0$\\pm$1.09\\textcolor{grey}{(80.0$\\pm$1.34)}\u002612.1$\\pm$0.24\\textcolor{grey}{(18.08$\\pm$0.34)}\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06566_arxiv_table_2.png","ground_truth":"\\begin{tabular}{c|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{2}{c}{\\textbf{PGD\\textsubscript{10}}(Clean)}\\\\[NEWLINE]\u0026CIFAR-10\u0026CIFAR-100\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026-\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u0026\\underline{61.57$\\pm$1.30}\\textcolor{grey}{(84.2$\\pm$1.26)}\u0026\\underline{30.85$\\pm$1.04}\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM\u00260.0$\\pm$0.0\\textcolor{grey}{(94.5$\\pm$0.14)}\u00260.0$\\pm$0.01\\textcolor{grey}{(64.5$\\pm$0.10)}\\\\[NEWLINE]VarERM\u00260.12$\\pm$0.01\\textcolor{grey}{(90.34$\\pm$0.23)}\u00260.54$\\pm$0.05\\textcolor{grey}{(63.4$\\pm$0.33)}\\\\[NEWLINE]\\textit{adv}-VarERM\u00260.37$\\pm$0.19\\textcolor{grey}{(89.89$\\pm$0.12)}\u00260.66$\\pm$0.04\\textcolor{grey}{(62.08$\\pm$0.17)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup\u00267.5$\\pm$0.32\\textcolor{grey}{(95.5$\\pm$0.35)}\u00260.36$\\pm$0.12\\textcolor{grey}{(76.8$\\pm$0.41)}\\\\[NEWLINE]VarMixup\u002610.21$\\pm$0.34\\textcolor{grey}{(91.09$\\pm$0.21)}\u00260.82$\\pm$0.14\\textcolor{grey}{(67.7$\\pm$0.27)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u00268.33$\\pm$0.11\\textcolor{grey}{(90.71$\\pm$0.31)}\u00260.44$\\pm$0.09\\textcolor{grey}{(65.48$\\pm$0.43)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM+MI\u002612.4$\\pm$1.02\\textcolor{grey}{(60.23$\\pm$0.97)}\u00262.4$\\pm$1.11\\textcolor{grey}{(35.46$\\pm$0.92)}\\\\[NEWLINE]VarERM+VarMI\u002624.46$\\pm$1.23\\textcolor{grey}{(52.12$\\pm$1.01)}\u002612.0$\\pm$1.09\\textcolor{grey}{(34.84$\\pm$0.98)}\\\\[NEWLINE]\\textit{adv}-VarERM+\\textit{adv}-VarMI\u002631.96$\\pm$1.1\\textcolor{grey}{(58.94$\\pm$0.96)}\u002613.02$\\pm$1.13\\textcolor{grey}{(33.04$\\pm$0.92)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]MT+MI\u002625.76$\\pm$1.12\\textcolor{grey}{(86.84$\\pm$1.05)}\u00266.71$\\pm$1.03\\textcolor{grey}{(67.8$\\pm$1.06)}\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{62.26$\\pm$1.11}\\textcolor{grey}{(82.48$\\pm$1.12)}\u0026\\underline{30.3$\\pm$1.03}\\textcolor{grey}{(60.03$\\pm$0.99)}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{63.41$\\pm$1.20}\\textcolor{grey}{(82.76$\\pm$1.02)}\u0026\\textbf{31.3$\\pm$1.15}\\textcolor{grey}{(60.74$\\pm$0.95)}\\\\[NEWLINE]%\\cline{1-3}[NEWLINE]%AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]%LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]%IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]%TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]%LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026\\\\[NEWLINE]%IAT+MI\\cite{mixup-inf}\u0026\\underline{61.57$\\pm$1.30}\\textcolor{grey}{(84.2$\\pm$1.26)}\u0026\\underline{30.85$\\pm$1.04}\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06566_arxiv_table_3.png","ground_truth":"\\begin{tabular}{c|c|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{Method}\u0026\\textbf{CIFAR-10-C}\u0026\\textbf{CIFAR-100-C}\u0026\\textbf{Tiny-Imagenet-C}\\\\[NEWLINE]%\u0026Clean\u0026PGD\\textsubscript{10}\u0026Clean\u0026PGD\\textsubscript{10}\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002673.12$\\pm$0.31\\textcolor{grey}{(85.58$\\pm$0.14)}\u002645.09$\\pm$0.31\\textcolor{grey}{(60.28$\\pm$0.13)}\u002615.74$\\pm$0.36\\textcolor{grey}{(22.33$\\pm$0.16)}\\\\[NEWLINE]TRADES\\cite{at@madry}\u002675.46$\\pm$0.21\\textcolor{grey}{(88.11$\\pm$0.43)}\u002645.98$\\pm$0.41\\textcolor{grey}{(63.3$\\pm$0.32)}\u002616.20$\\pm$0.23\\textcolor{grey}{(26.12$\\pm$0.38)}\\\\[NEWLINE]IAT\\cite{IAT}\u002681.05$\\pm$0.42\\textcolor{grey}{(89.7$\\pm$0.33)}\u002650.71$\\pm$0.25\\textcolor{grey}{(62.7$\\pm$0.21)}\u002618.69$\\pm$0.45\\textcolor{grey}{(18.08$\\pm$0.34)}\\\\[NEWLINE]\\cline{1-4}[NEWLINE]\u0026\u0026\u0026\\\\[NEWLINE]ERM\u002669.29$\\pm$0.21\\textcolor{grey}{(94.5$\\pm$0.14)}\u002647.3$\\pm$0.32\\textcolor{grey}{(64.5$\\pm$0.10)}\u002617.34$\\pm$0.27\\textcolor{grey}{(49.96$\\pm$0.12)}\\\\[NEWLINE][NEWLINE]Mixup\\cite{mixup}\u002674.74$\\pm$0.34\\textcolor{grey}{(95.5$\\pm$0.35)}\u002652.13$\\pm$0.43\\textcolor{grey}{(76.8$\\pm$0.41)}\u002621.55$\\pm$0.37\\textcolor{grey}{(53.83$\\pm$0.17)}\\\\[NEWLINE]%Manifold-Mixup\\cite{manifold-mixup}\u002672.54$\\pm$0.14\\textcolor{grey}{(95.2$\\pm$0.18)}\u002641.42$\\pm$0.23\\textcolor{grey}{(75.3$\\pm$0.48)}\u0026-\\\\[NEWLINE]VarMixup\u0026\\textbf{82.57$\\pm$0.42}\\textcolor{grey}{(93.91$\\pm$0.45)}\u0026\\underline{52.57$\\pm$0.39}\\textcolor{grey}{(73.2$\\pm$0.44)}\u0026\\underline{24.87$\\pm$0.32}\\textcolor{grey}{(50.98$\\pm$0.11)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u0026\\underline{82.12$\\pm$0.46}\\textcolor{grey}{(92.19$\\pm$0.32)}\u0026\\textbf{54.0$\\pm$0.41}\\textcolor{grey}{(72.13$\\pm$0.34)}\u0026\\textbf{25.36$\\pm$0.21}\\textcolor{grey}{(50.58$\\pm$0.23)}\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u0026\u0026\u0026\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06566_arxiv_table_4.png","ground_truth":"\\begin{tabular}{c|c|c|c|c|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{3}{c|}{\\textbf{CIFAR-10}}\u0026\\multicolumn{3}{c}{\\textbf{CIFAR-100}}\\\\[NEWLINE]\u0026PGD\\textsubscript{50}\u0026t-PGD\\textsubscript{10}\u0026SPSA\u0026PGD\\textsubscript{50}\u0026t-PGD\\textsubscript{10}\u0026SPSA\\\\[NEWLINE]\\hline\\hline[NEWLINE]MT+MI\\cite{mixup-inf}\u002611.29\u002648.28\u002669.28\u00263.61\u002631.83\u002646.42\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{65.11}\u0026\\textbf{77.59}\u002676.34\u0026\\underline{35.14}\u0026\\underline{53.32}\u0026\\underline{60.32}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{67.34}\u0026\\underline{75.29}\u002672.66\u0026\\textbf{40.01}\u0026\\textbf{54.81}\u0026\\textbf{61.02}\\\\[NEWLINE]\\cline{1-7}[NEWLINE]AT\\cite{at@madry}\u002646.4\u002649.49\u002679.68\u002621.56\u002634.56\u002653.60\\\\[NEWLINE]IAT\\cite{IAT}\u002634.04\u002649.04\u0026\\textbf{84.41}\u002618.08\u002628.2\u002659.82\\\\[NEWLINE]TRADES\\cite{trades}\u002650.24\u002650.01\u0026\\underline{81.07}\u002634.78\u002633.6\u002648.65\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u002660.84\u002668.70\u002676.06\u002629.5\u002636.52\u002645.3\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06566_eccv2020submission_table_1.png","ground_truth":"\\begin{tabular}{c|c|c}[NEWLINE]\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{2}{c}{\\textbf{PGD\\textsubscript{10}}(Clean)}\\\\[NEWLINE]\u0026CIFAR-10\u0026CIFAR-100\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026-\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u002661.57$\\pm$1.30\\textcolor{grey}{(84.2$\\pm$1.26)}\u002630.85$\\pm$1.04\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM\u00260.0$\\pm$0.0\\textcolor{grey}{(94.5$\\pm$0.14)}\u00260.0$\\pm$0.01\\textcolor{grey}{(64.5$\\pm$0.10)}\\\\[NEWLINE]VarERM\u00260.27$\\pm$0.07\\textcolor{grey}{(90.22$\\pm$0.43)}\u00260.7$\\pm$0.04\\textcolor{grey}{(63.28$\\pm$0.46)}\\\\[NEWLINE]\\textit{adv}-VarERM\u00261.01$\\pm$0.02\\textcolor{grey}{(88.47$\\pm$0.39)}\u00260.56$\\pm$0.05\\textcolor{grey}{(62.74$\\pm$0.26)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup\\cite{mixup}\u00267.5$\\pm$0.32\\textcolor{grey}{(95.5$\\pm$0.35)}\u00260.36$\\pm$0.12\\textcolor{grey}{(76.8$\\pm$0.41)}\\\\[NEWLINE]VarMixup\u002612.34$\\pm$0.37\\textcolor{grey}{(91.91$\\pm$0.45)}\u00260.72$\\pm$0.12\\textcolor{grey}{(67.2$\\pm$0.44)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u002617.66$\\pm$0.23\\textcolor{grey}{(89.19$\\pm$0.32)}\u00260.74$\\pm$0.19\\textcolor{grey}{(67.13$\\pm$0.34)}\\\\[NEWLINE][NEWLINE]\\cline{1-3}[NEWLINE]ERM+MI\u002612.4$\\pm$1.02\\textcolor{grey}{(60.23$\\pm$0.97)}\u00262.4$\\pm$1.11\\textcolor{grey}{(35.46$\\pm$0.92)}\\\\[NEWLINE]VarERM+VarMI\u002630.49$\\pm$1.03\\textcolor{grey}{(56.38$\\pm$1.0)}\u002612.04$\\pm$0.98\\textcolor{grey}{(33.88$\\pm$1.10)}\\\\[NEWLINE]\\textit{adv}-VarERM+\\textit{adv}-VarMI\u002638.13$\\pm$1.09\\textcolor{grey}{(53.30$\\pm$0.95)}\u002611.45$\\pm$1.01\\textcolor{grey}{(31.79$\\pm$1.20)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup+MI\\cite{mixup-inf}\u002625.76$\\pm$1.12\\textcolor{grey}{(86.84$\\pm$1.05)}\u00266.71$\\pm$1.03\\textcolor{grey}{(67.8$\\pm$1.06)}\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{66.84$\\pm$1.08}\\textcolor{grey}{(82.15$\\pm$0.92)}\u0026\\underline{35.8$\\pm$1.24}\\textcolor{grey}{(63.5$\\pm$1.34)}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{68.66$\\pm$1.21}\\textcolor{grey}{(82.06$\\pm$1.19)}\u0026\\textbf{40.13$\\pm$1.2}\\textcolor{grey}{(63.98$\\pm$1.32)}\\\\[NEWLINE][NEWLINE]%AT\\cite{at@madry}\u002647.34$\\pm$0.32\\textcolor{grey}{(85.58$\\pm$0.14)}\u002622.72$\\pm$0.37\\textcolor{grey}{(60.28$\\pm$0.13)}\\\\[NEWLINE]%LAT\\cite{LAT}\u002653.84\\textcolor{grey}{(87.80)}\u002627.03\\textcolor{grey}{(60.94)}\\\\[NEWLINE]%IAT\\cite{IAT}\u002640.0$\\pm$0.57\\textcolor{grey}{(89.7$\\pm$0.33)}\u002620.6$\\pm$0.49\\textcolor{grey}{(62.7$\\pm$0.21)}\\\\[NEWLINE]%TRADES\\cite{trades}\u002651.65$\\pm$0.32\\textcolor{grey}{(88.11$\\pm$0.43)}\u002625.5$\\pm$0.35\\textcolor{grey}{(63.3$\\pm$0.32)}\\\\[NEWLINE]%LLR\\cite{local-lin}\u002654.95\\textcolor{grey}{(86.83)}\u0026-\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u002647.69\\textcolor{grey}{(84.45)}\u0026-\\\\[NEWLINE]%IAT+MI\\cite{mixup-inf}\u002661.57$\\pm$1.30\\textcolor{grey}{(84.2$\\pm$1.26)}\u002630.85$\\pm$1.04\\textcolor{grey}{(61.4$\\pm$1.15)}\\\\[NEWLINE][NEWLINE][NEWLINE]\\hline\\hline[NEWLINE]\\textbf{Method}\u0026\\multicolumn{2}{c}{\\textbf{PGD\\textsubscript{10}}(Clean)}\\\\[NEWLINE]\u0026SVHN\u0026Tiny-Imagenet\\\\[NEWLINE]\\hline\\hline[NEWLINE]AT\\cite{at@madry}\u002654.58$\\pm$0.53\\textcolor{grey}{(91.88$\\pm$0.34)}\u00263.78$\\pm$0.21\\textcolor{grey}{(22.33$\\pm$0.16)}\\\\[NEWLINE]LAT\\cite{LAT}\u002660.23\\textcolor{grey}{(91.65)}\u0026-\\\\[NEWLINE]IAT\\cite{IAT}\u002654.83$\\pm$0.67\\textcolor{grey}{(93.41$\\pm$0.47)}\u002612.13$\\pm0.18$\\textcolor{grey}{(51.94$\\pm$0.28)}\\\\[NEWLINE]TRADES\\cite{trades}\u0026-\u00263.83$\\pm$0.12\\textcolor{grey}{(26.12$\\pm$0.38)}\\\\[NEWLINE]%\u0026LLR\\cite{local-lin}\u0026\u0026\\\\[NEWLINE]CURE\\cite{curvature-reg}\u002632.43$\\pm$0.02\\textcolor{grey}{(79.28$\\pm$0.01)}\u0026-\\\\[NEWLINE]IAT+MI\\cite{mixup-inf}\u002660.0$\\pm$1.09\\textcolor{grey}{(80.0$\\pm$1.34)}\u002612.1$\\pm$0.24\\textcolor{grey}{(18.08$\\pm$0.34)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM\u00260.45$\\pm$0.11\\textcolor{grey}{(95.47$\\pm$0.56)}\u00260.0$\\pm$0.0\\textcolor{grey}{(49.96$\\pm$0.12)}\\\\[NEWLINE]VarERM\u00260.67$\\pm$0.23\\textcolor{grey}{(95.60$\\pm$0.55)}\u00260.1$\\pm$0.03\\textcolor{grey}{(46.35$\\pm$0.36)}\\\\[NEWLINE]\\textit{adv}-VarERM\u00260.17$\\pm$0.08\\textcolor{grey}{(95.10$\\pm$0.56)}\u00260.04$\\pm$0.01\\textcolor{grey}{(43.87$\\pm$0.27)}\\\\[NEWLINE][NEWLINE]\\cline{1-3}[NEWLINE]Mixup\u00264.28$\\pm$0.52\\textcolor{grey}{(96.54$\\pm$0.49)}\u00260.0$\\pm$0.0\\textcolor{grey}{(53.83$\\pm$0.17)}\\\\[NEWLINE]VarMixup\u00262.59$\\pm$0.50\\textcolor{grey}{(96.72$\\pm$0.48)}\u00260.01$\\pm$0.01\\textcolor{grey}{(46.98$\\pm$0.11)}\\\\[NEWLINE]\\textit{adv}-VarMixup\u00263.38$\\pm$0.53\\textcolor{grey}{(95.64$\\pm$0.50)}\u00260.0$\\pm$0.0\\textcolor{grey}{(46.58$\\pm$0.23)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]ERM+MI\u002637.00$\\pm$0.98\\textcolor{grey}{(71.85$\\pm$1.21)}\u00261.54$\\pm$0.05\\textcolor{grey}{(25.56$\\pm$0.83)}\\\\[NEWLINE]VarERM+VarMI\u002638.25$\\pm$0.99\\textcolor{grey}{(66.93$\\pm$1.20)}\u00265.8$\\pm$0.14\\textcolor{grey}{(23.61$\\pm$0.72)}\\\\[NEWLINE]\\textit{adv}-VarERM+\\textit{adv}-VarMI\u002653.81$\\pm$1.05\\textcolor{grey}{(69.78$\\pm$1.29)}\u00267.27$\\pm$0.19\\textcolor{grey}{(25.73$\\pm$0.77)}\\\\[NEWLINE]\\cline{1-3}[NEWLINE]Mixup+MI\u002637.05$\\pm$1.30\\textcolor{grey}{(89.97$\\pm$1.34)}\u00262.93$\\pm$0.5\\textcolor{grey}{(47.2$\\pm$0.23)}\\\\[NEWLINE]VarMixup+VarMI\u0026\\underline{78.08$\\pm$1.05}\\textcolor{grey}{(88.45$\\pm$1.11)}\u0026\\underline{12.75$\\pm$0.42}\\textcolor{grey}{(42.88$\\pm$0.15)}\\\\[NEWLINE]\\textit{adv}-VarMixup+\\textit{adv}-VarMI\u0026\\textbf{87.20$\\pm$1.09}\\textcolor{grey}{(88.40$\\pm$1.12)}\u0026\\textbf{19.9$\\pm$0.53}\\textcolor{grey}{(44.18$\\pm$0.24)}\\\\[NEWLINE]%\\cline{1-3}[NEWLINE]%AT\\cite{at@madry}\u002654.58$\\pm$0.53\\textcolor{grey}{(91.88$\\pm$0.34)}\u00263.78$\\pm$0.21\\textcolor{grey}{(22.33$\\pm$0.16)}\\\\[NEWLINE]%LAT\\cite{LAT}\u002660.23\\textcolor{grey}{(91.65)}\u0026-\\\\[NEWLINE]%IAT\\cite{IAT}\u002654.83$\\pm$0.67\\textcolor{grey}{(93.41$\\pm$0.47)}\u002612.13$\\pm0.18$\\textcolor{grey}{(51.94$\\pm$0.28)}\\\\[NEWLINE]%TRADES\\cite{trades}\u0026-\u00263.83$\\pm$0.12\\textcolor{grey}{(26.12$\\pm$0.38)}\\\\[NEWLINE]%%\u0026LLR\\cite{local-lin}\u0026\u0026\\\\[NEWLINE]%CURE\\cite{curvature-reg}\u002656.3\\textcolor{grey}{(91.1)}\u0026\\\\[NEWLINE]%IAT+MI\\cite{mixup-inf}\u002660.0$\\pm$1.09\\textcolor{grey}{(80.0$\\pm$1.34)}\u002612.1$\\pm$0.24\\textcolor{grey}{(18.08$\\pm$0.34)}\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06639_Y-coding_theory_table_0.png","ground_truth":"\\begin{tabular}{|l||r|r|r|r||r|r|r|r|r|}[NEWLINE]\\hline[NEWLINE]Instance\u0026n\u0026m\u0026spread\u0026nad\u0026None\u0026DF2\u0026r0\\_l1\u0026min\u0026CPLEX\\\\\\hline[NEWLINE]1et.512\u0026510\u00264,032\u00263.4\u002615.8\u00263.39\u00263.26\u00262.95\u00262.89\u00262.33\\\\\\hline[NEWLINE]1tc.512\u0026510\u00263,264\u00265.5\u002612.8\u00262.60\u00262.01\u00261.09\u00260.88\u00260.17\\\\\\hline[NEWLINE]1zc.128\u0026128\u00261,120\u00261.5\u002617.5\u002621.77\u002620.89\u00267.52\u00267.52\u00260.10\\\\\\hline[NEWLINE]2dc.512\u0026512\u002654,895\u00262.7\u002683.8\u002624.02\u002625.29\u00265.62\u00265.62\u002645.22\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06639_Y-none_region_table_0.png","ground_truth":"\\begin{tabular}{|l||r|r|r|r||r|r|r|r|r|}[NEWLINE]\\hline[NEWLINE]Instance\u0026n\u0026m\u0026spread\u0026nad\u0026\\none{}\u0026\\dft{}\u0026\\rOlI{}\u0026min\u0026CPLEX\\\\\\hline[NEWLINE]p\\_hat1500-1\u00261,500\u0026839,327\u00261.36\u0026149.21\u0026430.79\u0026465.10\u0026900.01\u0026430.79\u0026t/o\\\\\\hline[NEWLINE]DSJC500.5\u0026500\u002662,624\u00261.15\u0026100.20\u0026115.74\u0026127.01\u0026205.24\u0026115.74\u0026t/o\\\\\\hline[NEWLINE]san400\\_0.7\\_2\u0026400\u002623,940\u00261.23\u002659.85\u002650.93\u002656.28\u002689.06\u002650.93\u0026727.01\\\\\\hline[NEWLINE]p\\_hat1000-1\u00261,000\u0026377,247\u00261.35\u0026150.90\u002648.49\u002652.19\u0026135.30\u002648.49\u0026t/o\\\\\\hline[NEWLINE]san1000\u00261,000\u0026249,000\u00261.16\u002699.60\u002630.93\u002634.50\u002687.99\u002630.93\u0026t/o\\\\\\hline[NEWLINE]p\\_hat700-1\u0026700\u0026183,651\u00261.38\u0026149.92\u002612.47\u002612.90\u002632.99\u002612.47\u0026t/o\\\\\\hline[NEWLINE]p\\_hat500-2\u0026500\u002661,804\u00262.62\u002698.89\u002610.53\u002611.42\u002619.11\u002610.53\u0026t/o\\\\\\hline[NEWLINE]p\\_hat500-1\u0026500\u002693,181\u00261.37\u0026149.09\u00265.12\u00265.65\u002610.75\u00265.12\u0026t/o\\\\\\hline[NEWLINE]DSJC500.9\u0026500\u0026112,437\u00261.05\u0026179.90\u00263.60\u00264.15\u00269.10\u00263.60\u0026t/o\\\\\\hline[NEWLINE]gka\\_30-to-7\u0026200\u00264,964\u00261.40\u002649.28\u00263.23\u00263.93\u00265.81\u00263.23\u002613.55\\\\\\hline[NEWLINE]ba\\_256\\_084\\_3\u0026256\u00268,988\u00263.17\u002654.86\u00262.03\u00263.46\u00263.53\u00262.03\u002631.38\\\\\\hline[NEWLINE]gka\\_32\u0026200\u00266,968\u00261.31\u002668.34\u00261.96\u00263.37\u00264.02\u00261.96\u002646.43\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06639_Y-reductions_table_0.png","ground_truth":"\\begin{tabular}{|l|@{\\hskip0.5in}r|}[NEWLINE]\\hline[NEWLINE]\\bfReduction\u0026\\bfComplexity\\\\[NEWLINE]\\hline[NEWLINE]\\degRed{}\u0026$O(n)$\\\\[NEWLINE]\\domRed{}\u0026$O(n^3)$\\\\[NEWLINE]\\unconfinedRed{}\u0026$O(n^4)$\\\\%Xiao13/17[NEWLINE]\\lpRed{}(Initial)\u0026$O(m\\sqrt{n})$\\\\%HopkroftKarp/maxflow[NEWLINE]\\lpRed{}(Update)\u0026$O(m+n)$\\\\%Iwata14[NEWLINE]\\foldRed{}\u0026$O(m)$\\\\%Xiao13/17andFomin09[NEWLINE]\\twinRed{}\u0026$O(m)$\\\\%Xiao13/17[NEWLINE]\\deskRed{}\u0026$O(m)$\\\\%Xiao13/17[NEWLINE]\\funnelRed{}\u0026$O(mn)$\\\\%Xiao13/17[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06649_v34-12-10-2021-nl-Arxiv_table_2.png","ground_truth":"\\begin{tabular}{|l|rr|rrr|rrrr|r|}[NEWLINE]\\hline[NEWLINE]{Instance}\u0026$|T|$\u0026$|L|$\u0026\\QA\u0026\\QC\u0026\\QS/$|X|$\u0026\\TA\u0026\\TC\u0026\\TIME\u0026\\TMAX\u0026\\Conv\\\\\\hline[NEWLINE]\\hline[NEWLINE]\\purdey\u0026[NEWLINE]27\u002626.2\u0026175.3\u0026177.1\u00265.0/12\u00260.08\u00260.09\u00260.00\u00260.01\u002610\\\\\\hline[NEWLINE]\\zebra\u0026[NEWLINE]64\u002661.1\u0026555.6\u0026555.8\u00268.1/25\u00262.54\u00262.54\u00260.00\u00261.50\u002610\\\\\\hline[NEWLINE]\\golomb\u0026[NEWLINE]350\u002696.4\u0026351.5\u0026351.5\u00264.8/8\u0026116.39\u0026217.34\u00260.33\u00268.70\u002610\\\\\\hline[NEWLINE]\\random\u0026[NEWLINE]122\u0026122.0\u00261082.2\u00261092.0\u002620.8/50\u00262.08\u002685.94\u00260.08\u002683.80\u00267\\\\\\hline[NEWLINE]\\rlfap\u0026[NEWLINE]125\u002698.5\u00261103.6\u0026--\u0026--\u002643.35\u0026--\u0026--\u0026\\TO\u00260\\\\\\hline[NEWLINE]\\sudoku\u0026[NEWLINE]810\u0026775.7\u00266849.9\u0026--\u0026--\u0026214.16\u0026--\u0026--\u0026\\TO\u00260\\\\\\hline[NEWLINE]\\jigsaw\u0026[NEWLINE]811\u0026764.0\u00266749.6\u0026--\u0026--\u0026224.18\u0026--\u0026--\u0026\\TO\u00260\\\\\\hline[NEWLINE]%\\latin\u0026[NEWLINE]%900\u0026892.0\u00268227.0\u0026--\u0026--\u0026322.68\u0026--\u0026--\u0026\\TO\u00260\\\\\\hline[NEWLINE]\\multicolumn{11}{r}{\\TO=1hour}[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06649_v34-12-10-2021-nl-Arxiv_table_3.png","ground_truth":"\\begin{tabular}{|l|rr|rrr|rrrr|r|}[NEWLINE]\\hline[NEWLINE]{Instance}\u0026$|T|$\u0026$|L|$\u0026\\QA\u0026\\QC\u0026\\QS/$|X|$\u0026\\TA\u0026\\TC\u0026\\TIME\u0026\\TMAX\u0026\\Conv\\\\\\hline\\hline[NEWLINE][NEWLINE]\\purdey\u002627\u002626.3\u0026172.3\u0026179.1\u00265.3/12\u00260.09\u00260.20\u00260.00\u00260.03\u002610\\\\\\hline[NEWLINE]\\zebra\u002664\u002661.2\u0026556.5\u0026561.2\u00268.1/25\u00263.92\u00264.27\u00260.01\u00262.31\u002610\\\\\\hline[NEWLINE]\\golomb\u0026350\u002698.0\u0026377.2\u0026377.2\u00264.2/8\u0026135.32\u0026138.06\u00260.36\u00268.47\u002610\\\\\\hline[NEWLINE]\\random\u0026122\u0026122.0\u00261059.7\u00261064.8\u002620.6/50\u00262.17\u00262.20\u00260.00\u00260.07\u002610\\\\\\hline[NEWLINE]\\rlfap\u0026125\u0026125.0\u00261167.8\u00261167.8\u002619.4/50\u002642.82\u002642.82\u00260.04\u00261.05\u002610\\\\\\hline[NEWLINE]\\sudoku\u0026810\u0026810.0\u00266939.0\u00266941.6\u002621.5/81\u0026164.05\u0026164.32\u00260.02\u00261.01\u002610\\\\\\hline[NEWLINE]\\jigsaw\u0026811\u0026811.0\u00266874.5\u00266880.2\u002621.0/81\u0026225.40\u0026231.04\u00260.03\u00261.01\u002610\\\\\\hline[NEWLINE]%\\latin\u0026900\u0026900.0\u00268236.8\u00268242.3\u002627.0/100\u0026111.92\u0026112.34\u00260.01\u00261.01\u002610\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06664_Paper_Lancet_table_0.png","ground_truth":"\\begin{tabular}{llr}[NEWLINE]\\hline[NEWLINE]Parameter\u0026Estimate\u0026St.Error$^\\circ$\\\\[NEWLINE]\\hline[NEWLINE]$\\exp(\\alpha_r^{(\\lambda)})$\u0026$0.128^{***}$\u00260.029\\\\[NEWLINE]$\\beta_4^{(\\phi)}$\u0026$1.087^{***}$\u00260.392\\\\[NEWLINE]$\\exp(\\alpha_r^{(\\phi)})$\u0026$72.551$\u0026137.758\\\\[NEWLINE]$\\exp(\\beta_1^{(\\nu)})$\u0026$1.791^{***}$\u00260.074\\\\[NEWLINE]$\\exp(\\beta_2^{(\\nu)})$\u0026$0.987^{***}$\u00260.001\\\\[NEWLINE]$\\beta_4^{(\\nu)}$\u0026$3.281^{***}$\u00261.195\\\\[NEWLINE]$\\exp(\\alpha_r^{(\\nu)})$\u0026$245.462$\u0026432.642\\\\[NEWLINE]$\\sigma_\\lambda^2$\u0026$1.387$\u0026{--}\\\\[NEWLINE]$\\sigma_\\phi^2$\u0026$3.419$\u0026{--}\\\\[NEWLINE]$\\sigma_\\nu^2$\u0026$1.310$\u0026{--}\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{3}{l}{\\scriptsize{$^{***}p\\mbox{-\\emph{value}}\u003c0.01$,$^{**}p\\mbox{-\\emph{value}}\u003c0.05$,$^*p\\mbox{-\\emph{value}}\u003c0.1$}}\\\\[NEWLINE]\\multicolumn{3}{l}{\\scriptsize{$^\\circ$cannotbeestimatedforrandomeffectsvariances$\\sigma_.^2$}}[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06664_Paper_Lancet_table_1.png","ground_truth":"\\begin{tabular}{llrr}[NEWLINE][NEWLINE]\\hline[NEWLINE]Province\u0026Acronym\u0026ObservedNo.Infections\u0026PredictedNo.Infections\\\\[NEWLINE]\\hline[NEWLINE]Pordenone\u0026PN\u002622\u00267.1\\\\[NEWLINE]Isernia\u0026IS\u00261\u00260.3\\\\[NEWLINE]Biella\u0026BI\u002613\u002617\\\\[NEWLINE]Lecco\u0026LC\u002626\u002661.6\\\\[NEWLINE]Lodi\u0026LO\u002627\u002694.4\\\\[NEWLINE]Rimini\u0026RN\u0026104\u002655\\\\[NEWLINE]Prato\u0026PO\u00266\u00268.3\\\\[NEWLINE]Crotone\u0026KR\u00262\u00263.2\\\\[NEWLINE]ViboValentia\u0026VV\u00262\u00261.4\\\\[NEWLINE]Verbano-Cusio-Ossola\u0026VB\u002613\u002613.4\\\\[NEWLINE]MonzaBrianza\u0026MB\u002625\u002653.1\\\\[NEWLINE]Fermo\u0026FM\u002610\u00265\\\\[NEWLINE]Barletta-Andria-Trani\u0026BT\u00260\u00263.6\\\\[NEWLINE]Torino\u0026TO\u0026293\u0026113\\\\[NEWLINE]Vercelli\u0026VC\u002618\u002615.2\\\\[NEWLINE]Novara\u0026NO\u002640\u002621.1\\\\[NEWLINE]Cuneo\u0026CN\u002630\u002622.2\\\\[NEWLINE]Asti\u0026AT\u002611\u002631.4\\\\[NEWLINE]Alessandria\u0026AL\u002651\u002654.6\\\\[NEWLINE]Aosta\u0026AO\u002629\u002621.4\\\\[NEWLINE]Imperia\u0026IM\u002625\u002611.2\\\\[NEWLINE]Savona\u0026SV\u002626\u002610.9\\\\[NEWLINE]Genova\u0026GE\u002648\u002645.6\\\\[NEWLINE]LaSpezia\u0026SP\u002618\u00269.1\\\\[NEWLINE]Varese\u0026VA\u002631\u002636.3\\\\[NEWLINE]Como\u0026CO\u002630\u002640.6\\\\[NEWLINE]Sondrio\u0026SO\u00261\u002610.6\\\\[NEWLINE]Milano\u0026MI\u0026318\u0026364.8\\\\[NEWLINE]Bergamo\u0026BG\u0026312\u0026411.8\\\\[NEWLINE]Brescia\u0026BS\u0026484\u0026519.1\\\\[NEWLINE]Pavia\u0026PV\u002694\u0026119.7\\\\[NEWLINE]Cremona\u0026CR\u002694\u0026230.2\\\\[NEWLINE]Mantova\u0026MN\u002649\u002677.4\\\\[NEWLINE]Bolzano\u0026BZ\u002685\u002639.7\\\\[NEWLINE]Trento\u0026TN\u002670\u002641\\\\[NEWLINE]Verona\u0026VR\u0026145\u002669.5\\\\[NEWLINE]Vicenza\u0026VI\u002668\u002645.2\\\\[NEWLINE]Belluno\u0026BL\u002631\u002613.5\\\\[NEWLINE]Treviso\u0026TV\u002689\u002670.9\\\\[NEWLINE]Venezia\u0026VE\u002648\u002656.3\\\\[NEWLINE]Padova\u0026PD\u0026101\u002690.3\\\\[NEWLINE]Rovigo\u0026RO\u00265\u00264.2\\\\[NEWLINE]Udine\u0026UD\u002636\u002622\\\\[NEWLINE]Gorizia\u0026GO\u00267\u00263.8\\\\[NEWLINE]Trieste\u0026TS\u00263\u002629.2\\\\[NEWLINE]Piacenza\u0026PC\u0026136\u0026150.5\\\\[NEWLINE]Parma\u0026PR\u00260\u002692\\\\[NEWLINE]ReggioEmilia\u0026RE\u0026115\u002647.3\\\\[NEWLINE]Modena\u0026MO\u0026115\u002669.3\\\\[NEWLINE]Bologna\u0026BO\u002662\u002661.5\\\\[NEWLINE]Ferrara\u0026FE\u00266\u00269.4\\\\[NEWLINE]Ravenna\u0026RA\u002629\u002615.9\\\\[NEWLINE]Forlì-Cesena\u0026FC\u002627\u002621.8\\\\[NEWLINE]Pesaro\u0026PU\u002698\u0026105.3\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06664_Paper_Lancet_table_2.png","ground_truth":"\\begin{tabular}{llrr}[NEWLINE][NEWLINE]\\hline[NEWLINE]Province\u0026Acronym\u0026ObservedNo.Infections\u0026PredictedNo.Infections\\\\[NEWLINE]\\hline[NEWLINE]Ancona\u0026AN\u002647\u002652.1\\\\[NEWLINE]Macerata\u0026MC\u002632\u002615.6\\\\[NEWLINE]AscoliPiceno\u0026AP\u00262\u00262.7\\\\[NEWLINE]MassaCarrara\u0026MS\u002633\u002622.3\\\\[NEWLINE]Lucca\u0026LU\u002626\u002629.4\\\\[NEWLINE]Pistoia\u0026PT\u002622\u002614.1\\\\[NEWLINE]Firenze\u0026FI\u002681\u002636.4\\\\[NEWLINE]Livorno\u0026LI\u00263\u002610.2\\\\[NEWLINE]Pisa\u0026PI\u002623\u002618.5\\\\[NEWLINE]Arezzo\u0026AR\u002671\u002612.1\\\\[NEWLINE]Siena\u0026SI\u00264\u002613.2\\\\[NEWLINE]Grosseto\u0026GR\u00268\u00268.8\\\\[NEWLINE]Perugia\u0026PG\u002635\u002617.1\\\\[NEWLINE]Terni\u0026TR\u002611\u00269.6\\\\[NEWLINE]Viterbo\u0026VT\u00268\u00264.8\\\\[NEWLINE]Rieti\u0026RI\u00260\u00261.8\\\\[NEWLINE]Roma\u0026RM\u0026104\u002693\\\\[NEWLINE]Latina\u0026LT\u00260\u00264.5\\\\[NEWLINE]Frosinone\u0026FR\u00265\u00267.4\\\\[NEWLINE]Caserta\u0026CE\u00260\u002612.2\\\\[NEWLINE]Benevento\u0026BN\u00260\u00261.1\\\\[NEWLINE]Napoli\u0026NA\u00260\u002654.8\\\\[NEWLINE]Avellino\u0026AV\u00260\u00267.3\\\\[NEWLINE]Salerno\u0026SA\u00260\u002610.8\\\\[NEWLINE]L'Aquila\u0026AQ\u00261\u00263.5\\\\[NEWLINE]Teramo\u0026TE\u00268\u00266.3\\\\[NEWLINE]Pescara\u0026PE\u002622\u002619.7\\\\[NEWLINE]Chieti\u0026CH\u00263\u00267.2\\\\[NEWLINE]Campobasso\u0026CB\u00260\u00265.5\\\\[NEWLINE]Foggia\u0026FG\u00260\u002617.2\\\\[NEWLINE]Bari\u0026BA\u002617\u002617.1\\\\[NEWLINE]Taranto\u0026TA\u00262\u00264.9\\\\[NEWLINE]Brindisi\u0026BR\u002613\u00268.5\\\\[NEWLINE]Lecce\u0026LE\u00263\u002611.6\\\\[NEWLINE]Potenza\u0026PZ\u00260\u00261.5\\\\[NEWLINE]Matera\u0026MT\u002618\u00261.1\\\\[NEWLINE]Cosenza\u0026CS\u00264\u00266.1\\\\[NEWLINE]Catanzaro\u0026CZ\u00266\u00263.4\\\\[NEWLINE]ReggioCalabria\u0026RC\u00261\u00268.4\\\\[NEWLINE]Trapani\u0026TP\u00262\u00262.3\\\\[NEWLINE]Palermo\u0026PA\u00267\u00266.4\\\\[NEWLINE]Messina\u0026ME\u00260\u00263\\\\[NEWLINE]Agrigento\u0026AG\u00262\u00263.8\\\\[NEWLINE]Caltanissetta\u0026CL\u00262\u00260.8\\\\[NEWLINE]Enna\u0026EN\u00260\u00261.6\\\\[NEWLINE]Catania\u0026CT\u002623\u002620.3\\\\[NEWLINE]Ragusa\u0026RG\u00262\u00261\\\\[NEWLINE]Siracusa\u0026SR\u00267\u00263.1\\\\[NEWLINE]Sassari\u0026SS\u002611\u00266.8\\\\[NEWLINE]Nuoro\u0026NU\u00260\u00264.1\\\\[NEWLINE]Cagliari\u0026CA\u00265\u00265.3\\\\[NEWLINE]Oristano\u0026OR\u00261\u00260.7\\\\[NEWLINE]SudSardegna\u0026SU\u00260\u00261\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sigma(ep\\toe^-\\gamma^*p\\toeW\\gammaq'X)$(pb)}\\\\[NEWLINE]\\hline\\hline[NEWLINE]\u0026\\multicolumn{2}{|c|}{LHeC}\u0026\\multicolumn{2}{|c|}{FCC-he}\\\\[NEWLINE]\u0026\\multicolumn{2}{|c|}{Leptonicchannel}\u0026\\multicolumn{2}{|c|}{Leptonicchannel}\\\\[NEWLINE]\\hline[NEWLINE]SM\u00267.27$\\times10^{-3}$\u00262.18$\\times10^{-2}$\u00262.27$\\times10^{-2}$\u00266.38$\\times10^{-2}$\\\\[NEWLINE]\\hline[NEWLINE]Couplings\u0026$\\sqrt{s}=1.30$TeV\u0026$\\sqrt{s}=1.98$TeV\u0026$\\sqrt{s}=3.46$TeV\u0026$\\sqrt{s}=5.29$TeV\\\\[NEWLINE]\\hline[NEWLINE]$f_{M0}/\\Lambda^{4}$\u00262.29$\\times10^{-2}$\u00263.98$\\times10^{-1}$\u00267.40$\\times10^{-2}$\u00262.80\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u00261.66$\\times10^{-2}$\u00262.29$\\times10^{-1}$\u00266.30$\\times10^{-2}$\u00262.07\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u00266.79$\\times10^{-1}$\u00261.62$\\times10^{1}$\u00262.29\u00261.17$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u00264.47$\\times10^{-1}$\u00269.14\u00261.83\u00268.61$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u00265.84$\\times10^{-2}$\u00261.25\u00261.94$\\times10^{-1}$\u00269.00\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u00264.35$\\times10^{-2}$\u00267.27$\\times10^{-1}$\u00261.70$\\times10^{-1}$\u00266.70\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u00261.05$\\times10^{-2}$\u00267.69$\\times10^{-2}$\u00263.29$\\times10^{-2}$\u00265.71$\\times10^{-1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u00269.55$\\times10^{-1}$\u00263.59$\\times10^{1}$\u00265.39\u00265.85$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u00262.61\u00268.10$\\times10^{1}$\u00261.96$\\times10^{1}$\u00261.97$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u00263.25$\\times10^{-1}$\u00261.02$\\times10^{1}$\u00262.39\u00262.36$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u00261.01$\\times10^{1}$\u00263.88$\\times10^{2}$\u00265.79$\\times10^{1}$\u00266.31$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u00262.79$\\times10^{1}$\u00268.71$\\times10^{2}$\u00262.12$\\times10^{2}$\u00262.10$\\times10^{4}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u00263.45\u00261.10$\\times10^{2}$\u002626.13\u00262.51$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_1.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sigma(ep\\toe^-\\gamma^*p\\toeW\\gammaq'X)$(pb)}\\\\[NEWLINE]\\hline\\hline[NEWLINE]\u0026\\multicolumn{2}{|c|}{LHeC}\u0026\\multicolumn{2}{|c|}{FCC-he}\\\\[NEWLINE]\u0026\\multicolumn{2}{|c|}{Hadronicchannel}\u0026\\multicolumn{2}{|c|}{Hadronicchannel}\\\\[NEWLINE]\\hline[NEWLINE]SM\u00261.54$\\times10^{-2}$\u00264.51$\\times10^{-2}$\u00264.94$\\times10^{-2}$\u00261.34$\\times10^{-1}$\\\\[NEWLINE]\\hline[NEWLINE]Couplings\u0026$\\sqrt{s}=1.30$TeV\u0026$\\sqrt{s}=1.98$TeV\u0026$\\sqrt{s}=3.46$TeV\u0026$\\sqrt{s}=5.29$TeV\\\\[NEWLINE]\\hline\\hline[NEWLINE]$f_{M0}/\\Lambda^{4}$\u00265.79$\\times10^{-2}$\u00269.38$\\times10^{-1}$\u00261.79$\\times10^{-1}$\u00262.50\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u00266.05$\\times10^{-2}$\u00266.89$\\times10^{-1}$\u00267.34$\\times10^{-1}$\u00265.88\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u00261.84\u00263.84$\\times10^{1}$\u00265.70\u00261.02$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u00262.08\u00262.82$\\times10^{1}$\u00262.98$\\times10^{1}$\u00262.49$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u00261.54$\\times10^{-1}$\u00262.98\u00264.79$\\times10^{-1}$\u00267.88\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u00261.80$\\times10^{-1}$\u00262.22\u00262.32\u00261.92$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u00262.92$\\times10^{-2}$\u00262.15$\\times10^{-1}$\u00262.26$\\times10^{-1}$\u00261.59\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u00262.27\u00267.24$\\times10^{1}$\u00261.51$\\times10^{1}$\u00265.07$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u00261.14$\\times10^{1}$\u00262.15$\\times10^{2}$\u00265.81$\\times10^{2}$\u00267.07$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u00261.21\u00262.50$\\times10^{1}$\u00265.11$\\times10^{1}$\u00266.54$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u00262.42$\\times10^{1}$\u00267.76$\\times10^{2}$\u00261.62$\\times10^{2}$\u00265.45$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u00261.22$\\times10^{2}$\u00262.31$\\times10^{3}$\u00266.28$\\times10^{3}$\u00267.65$\\times10^{4}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u00261.30$\\times10^{1}$\u00262.68$\\times10^{2}$\u00265.50$\\times10^{2}$\u00267.02$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_2.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{9}{|c|}{$\\sigma(ep\\toe^-\\gamma^*p\\toeW\\gammaq'X)$(pb)}\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\u0026\\multicolumn{4}{|c|}{LHeC}\u0026\\multicolumn{4}{|c|}{FCC-he}\\\\[NEWLINE][NEWLINE]\u0026\\multicolumn{4}{|c|}{$\\sqrt{s}=1.98$TeV}\u0026\\multicolumn{4}{|c|}{$\\sqrt{s}=5.29$TeV}\\\\[NEWLINE]\\hline[NEWLINE]Couplings\u0026NoCuts\u0026Cuts-0\u0026Cuts-1\u0026Cuts-2\u0026NoCuts\u0026Cuts-0\u0026Cuts-1\u0026Cuts-2\\\\[NEWLINE]\\hline[NEWLINE]$SM$\u00266.18\u00260.11\u00260.08\u00260.046\u002615.91\u00260.58\u00260.23\u00260.13\\\\[NEWLINE]\\hline[NEWLINE]$f_{M0}/\\Lambda^{4}$\u00266.42\u00260.12\u00260.08\u00260.05\u002618.16\u00260.57\u00260.25\u00260.14\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u00267.10\u00260.29\u00260.19\u00260.14\u002619.51\u00261.37\u00260.25\u00260.14\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u00267.65\u00260.12\u00260.09\u00260.05\u002616.53\u00260.59\u00260.23\u00260.13\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u00266.91\u00260.53\u00260.30\u00260.22\u002616.68\u00263.65\u00260.44\u00260.17\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u002612.31\u00268.25\u00267.69\u00265.72\u002680.92\u002665.2\u002633.71\u00267.47\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u00266.22\u00261.19\u00260.94\u00260.69\u002621.42\u00268.80\u00263.31\u00260.81\\\\[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_3.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=1.30TeV,\\hspace{5mm}{\\rmLeptonicchannel}}\\\\[NEWLINE]\\hline[NEWLINE]Couplings(TeV$^{-4}$)\u002610fb$^{-1}$\u002630fb$^{-1}$\u002650fb$^{-1}$\u0026100fb$^{-1}$\\\\[NEWLINE]\\hline[NEWLINE]\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-3.27;3.28]$\\times10^{3}$\u0026[-2.48;2.49]$\\times10^{3}$\u0026[-2.18;2.19]$\\times10^{3}$\u0026[-1.84;1.85]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-3.51;4.57]$\\times10^{3}$\u0026[-2.56;3.62]$\\times10^{3}$\u0026[-2.20;3.26]$\\times10^{3}$\u0026[-1.78;2.85]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-5.02;5.01]$\\times10^{2}$\u0026[-3.81;3.80]$\\times10^{2}$\u0026[-3.36;3.35]$\\times10^{2}$\u0026[-2.82;2.81]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-5.39;6.99]$\\times10^{2}$\u0026[-3.93;5.54]$\\times10^{2}$\u0026[-3.38;4.99]$\\times10^{2}$\u0026[-2.74;4.35]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-1.81;1.82]$\\times10^{3}$\u0026[-1.37;1.38]$\\times10^{3}$\u0026[-1.21;1.22]$\\times10^{3}$\u0026[-1.01;1.02]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-2.56;1.92]$\\times10^{3}$\u0026[-2.03;1.39]$\\times10^{3}$\u0026[-1.84;1.19]$\\times10^{3}$\u0026[-1.61;0.97]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-0.91;0.70]$\\times10^{4}$\u0026[-0.72;0.51]$\\times10^{4}$\u0026[-0.65;0.44]$\\times10^{4}$\u0026[-0.57;0.35]$\\times10^{4}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-4.18;4.26]$\\times10^{2}$\u0026[-3.17;3.24]$\\times10^{2}$\u0026[-2.78;2.86]$\\times10^{2}$\u0026[-2.33;2.41]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-2.43;2.66]$\\times10^{2}$\u0026[-1.82;2.05]$\\times10^{2}$\u0026[-1.59;1.82]$\\times10^{2}$\u0026[-1.32;1.55]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-0.66;0.79]$\\times10^{3}$\u0026[-0.49;0.62]$\\times10^{3}$\u0026[-0.42;0.55]$\\times10^{3}$\u0026[-0.35;0.48]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-1.27;1.30]$\\times10^{2}$\u0026[-9.64;9.88]$\\times10^{1}$\u0026[-8.47;8.71]$\\times10^{1}$\u0026[-7.10;7.35]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-7.57;7.94]$\\times10^{1}$\u0026[-5.71;6.08]$\\times10^{1}$\u0026[-5.00;5.37]$\\times10^{1}$\u0026[-4.18;4.55]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-2.08;2.34]$\\times10^{2}$\u0026[-1.55;1.81]$\\times10^{2}$\u0026[-1.35;1.61]$\\times10^{2}$\u0026[-1.12;1.38]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=1.98TeV}\\\\[NEWLINE]\\hline[NEWLINE]\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-8.86;8.89]$\\times10^{2}$\u0026[-6.73;6.76]$\\times10^{2}$\u0026[-5.92;5.95]$\\times10^{2}$\u0026[-4.97;5.00]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-1.07;1.28]$\\times10^{3}$\u0026[-0.79;1.00]$\\times10^{3}$\u0026[-0.68;0.90]$\\times10^{3}$\u0026[-0.56;0.78]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-1.35;1.34]$\\times10^{2}$\u0026[-1.03;1.02]$\\times10^{2}$\u0026[-9.00;8.99]$\\times10^{1}$\u0026[-7.57;7.56]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-1.66;1.92]$\\times10^{2}$\u0026[-1.24;1.49]$\\times10^{2}$\u0026[-1.07;1.33]$\\times10^{2}$\u0026[-0.88;1.14]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-4.86;4.88]$\\times10^{2}$\u0026[-3.69;3.70]$\\times10^{2}$\u0026[-3.25;3.26]$\\times10^{2}$\u0026[-2.73;2.75]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-0.71;0.59]$\\times10^{3}$\u0026[-0.55;0.44]$\\times10^{3}$\u0026[-0.50;0.38]$\\times10^{3}$\u0026[-0.43;0.31]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-2.57;2.14]$\\times10^{3}$\u0026[-2.01;1.58]$\\times10^{3}$\u0026[-1.80;1.37]$\\times10^{3}$\u0026[-1.55;1.12]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-9.00;9.03]$\\times10^{1}$\u0026[-6.83;6.86]$\\times10^{1}$\u0026[-6.01;6.04]$\\times10^{1}$\u0026[-5.05;5.08]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-5.91;6.09]$\\times10^{1}$\u0026[-4.47;4.65]$\\times10^{1}$\u0026[-3.92;4.10]$\\times10^{1}$\u0026[-3.28;3.47]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-1.60;1.78]$\\times10^{2}$\u0026[-1.20;1.38]$\\times10^{2}$\u0026[-1.04;1.23]$\\times10^{2}$\u0026[-0.86;1.05]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-2.69;2.80]$\\times10^{1}$\u0026[-2.03;2.14]$\\times10^{1}$\u0026[-1.78;1.89]$\\times10^{1}$\u0026[-1.49;1.60]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-1.77;1.89]$\\times10^{1}$\u0026[-1.33;1.45]$\\times10^{1}$\u0026[-1.17;1.28]$\\times10^{1}$\u0026[-0.97;1.09]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-5.05;5.29]$\\times10^{1}$\u0026[-3.81;4.05]$\\times10^{1}$\u0026[-3.34;3.58]$\\times10^{1}$\u0026[-2.79;3.03]$\\times10^{1}$\\\\[NEWLINE]\\hline\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_4.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=3.46TeV,\\hspace{5mm}{\\rmLeptonicchannel}}\\\\[NEWLINE]\\hline[NEWLINE]Couplings(TeV$^{-4}$)\u0026100fb$^{-1}$\u0026300fb$^{-1}$\u0026500fb$^{-1}$\u00261000fb$^{-1}$\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-6.70;6.81]$\\times10^{2}$\u0026[-5.08;5.19]$\\times10^{2}$\u0026[-4.47;4.57]$\\times10^{2}$\u0026[-3.75;3.85]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-0.62;0.88]$\\times10^{3}$\u0026[-0.44;0.71]$\\times10^{3}$\u0026[-0.38;0.64]$\\times10^{3}$\u0026[-0.30;0.57]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-1.03;1.00]$\\times10^{2}$\u0026[-7.87;7.63]$\\times10^{1}$\u0026[-6.95;6.71]$\\times10^{1}$\u0026[-5.86;5.62]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-1.11;1.13]$\\times10^{2}$\u0026[-8.42;8.65]$\\times10^{1}$\u0026[-7.40;7.63]$\\times10^{1}$\u0026[-6.21;6.43]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-3.75;3.77]$\\times10^{2}$\u0026[-2.85;2.87]$\\times10^{2}$\u0026[-2.51;2.52]$\\times10^{2}$\u0026[-2.11;2.12]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-4.17;4.08]$\\times10^{2}$\u0026[-3.18;3.09]$\\times10^{2}$\u0026[-2.80;2.71]$\\times10^{2}$\u0026[-2.36;2.27]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-1.78;1.39]$\\times10^{3}$\u0026[-1.40;1.01]$\\times10^{3}$\u0026[-1.26;0.88]$\\times10^{3}$\u0026[-1.10;0.71]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-6.71;6.93]$\\times10^{1}$\u0026[-5.08;5.30]$\\times10^{1}$\u0026[-4.45;4.67]$\\times10^{1}$\u0026[-3.73;3.95]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-3.49;3.52]$\\times10^{1}$\u0026[-2.64;2.68]$\\times10^{1}$\u0026[-2.33;2.36]$\\times10^{1}$\u0026[-1.95;1.98]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-0.89;1.14]$\\times10^{2}$\u0026[-0.65;0.90]$\\times10^{2}$\u0026[-0.56;0.81]$\\times10^{2}$\u0026[-0.45;0.71]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-2.02;2.03]$\\times10^{1}$\u0026[-1.53;1.55]$\\times10^{1}$\u0026[-1.35;1.36]$\\times10^{1}$\u0026[-1.13;1.15]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-0.94;1.19]$\\times10^{1}$\u0026[-0.69;0.94]$\\times10^{1}$\u0026[-0.60;0.84]$\\times10^{1}$\u0026[-0.48;0.73]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-0.28;0.33]$\\times10^{2}$\u0026[-0.20;0.26]$\\times10^{2}$\u0026[-0.18;0.23]$\\times10^{2}$\u0026[-0.15;0.20]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=5.29TeV}\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-1.19;1.24]$\\times10^{2}$\u0026[-9.00;9.45]$\\times10^{1}$\u0026[-7.90;8.34]$\\times10^{1}$\u0026[-6.61;7.05]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-1.28;1.53]$\\times10^{2}$\u0026[-0.95;1.20]$\\times10^{2}$\u0026[-0.82;1.07]$\\times10^{2}$\u0026[-0.67;0.92]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-1.84;1.82]$\\times10^{1}$\u0026[-1.40;1.38]$\\times10^{1}$\u0026[-1.23;1.22]$\\times10^{1}$\u0026[-1.04;1.02]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-2.06;2.22]$\\times10^{1}$\u0026[-1.54;1.70]$\\times10^{1}$\u0026[-1.35;1.51]$\\times10^{1}$\u0026[-1.12;1.28]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-6.62;6.68]$\\times10^{1}$\u0026[-5.02;5.09]$\\times10^{1}$\u0026[-4.42;4.48]$\\times10^{1}$\u0026[-3.71;3.77]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-0.83;0.72]$\\times10^{2}$\u0026[-0.65;0.54]$\\times10^{2}$\u0026[-0.58;0.47]$\\times10^{2}$\u0026[-0.49;0.39]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-2.98;2.76]$\\times10^{2}$\u0026[-2.29;2.07]$\\times10^{2}$\u0026[-2.03;1.81]$\\times10^{2}$\u0026[-1.73;1.50]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-8.18;8.23]\u0026[-6.21;6.26]\u0026[-5.46;5.51]\u0026[-4.59;4.64]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-4.37;4.60]\u0026[-3.29;3.52]\u0026[-2.88;3.11]\u0026[-2.41;2.64]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-1.23;1.36]$\\times10^{1}$\u0026[-0.92;1.05]$\\times10^{1}$\u0026[-0.81;0.93]$\\times10^{1}$\u0026[-0.67;0.79]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-2.41;2.60]\u0026[-1.81;1.99]\u0026[-1.58;1.77]\u0026[-1.31;1.50]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-1.22;1.53]\u0026[-0.89;1.21]\u0026[-0.77;1.08]\u0026[-0.63;0.94]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-3.83;4.07]\u0026[-2.88;3.13]\u0026[-2.52;2.77]\u0026[-2.10;2.35]\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_5.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=1.30TeV,\\hspace{5mm}{\\rmHadronicchannel}}\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]Couplings(TeV$^{-4}$)\u002610fb$^{-1}$\u002630fb$^{-1}$\u002650fb$^{-1}$\u0026100fb$^{-1}$\\\\[NEWLINE]\\hline\\hline[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-2.37;2.41]$\\times10^{3}$\u0026[-1.80;1.84]$\\times10^{3}$\u0026[-1.59;1.62]$\\times10^{3}$\u0026[-1.32;1.36]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-1.95;2.59]$\\times10^{3}$\u0026[-1.41;2.06]$\\times10^{3}$\u0026[-1.21;1.86]$\\times10^{3}$\u0026[-0.98;1.62]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-3.68;3.61]$\\times10^{2}$\u0026[-2.81;2.73]$\\times10^{2}$\u0026[-2.47;2.40]$\\times10^{2}$\u0026[-2.09;2.01]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-2.93;3.98]$\\times10^{2}$\u0026[-2.12;3.17]$\\times10^{2}$\u0026[-1.82;2.87]$\\times10^{2}$\u0026[-1.47;2.51]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-1.31;1.33]$\\times10^{3}$\u0026[-9.92;10.13]$\\times10^{2}$\u0026[-8.72;8.93]$\\times10^{2}$\u0026[-7.31;7.53]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-1.44;1.07]$\\times10^{3}$\u0026[-1.15;0.77]$\\times10^{3}$\u0026[-1.04;0.66]$\\times10^{3}$\u0026[-0.91;0.54]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-5.18;3.85]$\\times10^{3}$\u0026[-4.12;2.79]$\\times10^{3}$\u0026[-3.73;2.39]$\\times10^{3}$\u0026[-3.26;1.93]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-3.28;3.29]$\\times10^{2}$\u0026[-2.49;2.50]$\\times10^{2}$\u0026[-2.19;2.20]$\\times10^{2}$\u0026[-1.84;1.85]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-1.31;1.63]$\\times10^{2}$\u0026[-0.96;1.28]$\\times10^{2}$\u0026[-0.83;1.15]$\\times10^{2}$\u0026[-0.68;1.00]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-4.06;4.98]$\\times10^{2}$\u0026[-2.98;3.91]$\\times10^{2}$\u0026[-2.58;3.50]$\\times10^{2}$\u0026[-2.11;3.03]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-9.54;10.51]$\\times10^{1}$\u0026[-7.14;8.11]$\\times10^{1}$\u0026[-6.23;7.20]$\\times10^{1}$\u0026[-5.17;6.13]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-3.85;5.15]$\\times10^{1}$\u0026[-2.79;4.09]$\\times10^{1}$\u0026[-2.40;3.70]$\\times10^{1}$\u0026[-1.94;3.24]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-1.23;1.52]$\\times10^{2}$\u0026[-0.90;1.20]$\\times10^{2}$\u0026[-0.78;1.08]$\\times10^{2}$\u0026[-0.64;0.93]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=1.98TeV}\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-6.76;6.89]$\\times10^{2}$\u0026[-5.13;5.25]$\\times10^{2}$\u0026[-4.50;4.63]$\\times10^{2}$\u0026[-3.78;3.90]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-7.10;8.91]$\\times10^{2}$\u0026[-5.21;7.02]$\\times10^{2}$\u0026[-4.49;6.30]$\\times10^{2}$\u0026[-3.66;5.47]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-1.05;1.04]$\\times10^{2}$\u0026[-7.96;7.86]$\\times10^{1}$\u0026[-7.02;6.91]$\\times10^{1}$\u0026[-5.91;5.80]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-1.07;1.38]$\\times10^{2}$\u0026[-0.78;1.09]$\\times10^{2}$\u0026[-0.67;0.98]$\\times10^{2}$\u0026[-0.54;0.86]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-3.76;3.79]$\\times10^{2}$\u0026[-2.85;2.89]$\\times10^{2}$\u0026[-2.51;2.54]$\\times10^{2}$\u0026[-2.10;2.14]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-4.90;3.93]$\\times10^{2}$\u0026[-3.86;2.89]$\\times10^{2}$\u0026[-3.46;2.49]$\\times10^{2}$\u0026[-3.00;2.03]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-1.79;1.42]$\\times10^{3}$\u0026[-1.41;1.04]$\\times10^{3}$\u0026[-1.27;0.90]$\\times10^{3}$\u0026[-1.10;0.73]$\\times10^{3}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-7.54;7.62]$\\times10^{1}$\u0026[-5.72;5.80]$\\times10^{1}$\u0026[-5.03;5.11]$\\times10^{1}$\u0026[-4.23;4.30]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-3.99;4.85]$\\times10^{1}$\u0026[-2.94;3.80]$\\times10^{1}$\u0026[-2.54;3.40]$\\times10^{1}$\u0026[-2.08;2.94]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-1.17;1.43]$\\times10^{2}$\u0026[-0.86;1.12]$\\times10^{2}$\u0026[-0.74;1.01]$\\times10^{2}$\u0026[-0.61;0.87]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-2.31;2.32]$\\times10^{1}$\u0026[-1.75;1.76]$\\times10^{1}$\u0026[-1.54;1.55]$\\times10^{1}$\u0026[-1.29;1.31]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-1.30;1.39]$\\times10^{1}$\u0026[-0.98;1.07]$\\times10^{1}$\u0026[-0.86;0.94]$\\times10^{1}$\u0026[-0.71;0.80]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-3.50;4.42]$\\times10^{1}$\u0026[-2.57;3.49]$\\times10^{1}$\u0026[-2.21;3.13]$\\times10^{1}$\u0026[-1.80;2.72]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06669_WWgg-ep-31-05-2020_table_6.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\hline\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=3.46TeV,\\hspace{5mm}{\\rmHadronicchannel}}\\\\[NEWLINE]\\hline[NEWLINE]Couplings(TeV$^{-4}$)\u0026100fb$^{-1}$\u0026300fb$^{-1}$\u0026500fb$^{-1}$\u00261000fb$^{-1}$\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-5.12;5.13]$\\times10^{2}$\u0026[-3.89;3.90]$\\times10^{2}$\u0026[-3.42;3.44]$\\times10^{2}$\u0026[-2.88;2.89]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-1.93;2.58]$\\times10^{2}$\u0026[-1.40;2.05]$\\times10^{2}$\u0026[-1.20;1.85]$\\times10^{2}$\u0026[-0.97;1.62]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-0.87;0.70]$\\times10^{2}$\u0026[-0.68;0.52]$\\times10^{2}$\u0026[-0.61;0.45]$\\times10^{2}$\u0026[-0.53;0.37]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-2.94;3.93]$\\times10^{1}$\u0026[-2.13;3.12]$\\times10^{1}$\u0026[-1.83;2.82]$\\times10^{1}$\u0026[-1.48;2.47]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-2.78;2.89]$\\times10^{2}$\u0026[-2.10;2.21]$\\times10^{2}$\u0026[-1.84;1.95]$\\times10^{2}$\u0026[-1.54;1.65]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-1.53;1.02]$\\times10^{2}$\u0026[-1.24;0.73]$\\times10^{2}$\u0026[-1.13;0.62]$\\times10^{2}$\u0026[-1.00;0.49]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-5.29;3.76]$\\times10^{2}$\u0026[-4.24;2.71]$\\times10^{2}$\u0026[-3.85;2.32]$\\times10^{2}$\u0026[-3.39;1.86]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-4.62;5.00]$\\times10^{1}$\u0026[-3.47;3.85]$\\times10^{1}$\u0026[-3.03;3.41]$\\times10^{1}$\u0026[-2.52;2.90]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-0.74;0.81]$\\times10^{1}$\u0026[-0.56;0.62]$\\times10^{1}$\u0026[-0.49;0.55]$\\times10^{1}$\u0026[-0.40;0.47]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-2.26;2.99]$\\times10^{1}$\u0026[-1.64;2.37]$\\times10^{1}$\u0026[-1.41;2.14]$\\times10^{1}$\u0026[-1.14;1.87]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-1.42;1.51]$\\times10^{1}$\u0026[-1.07;1.16]$\\times10^{1}$\u0026[-0.94;1.02]$\\times10^{1}$\u0026[-0.78;0.87]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-2.12;2.62]\u0026[-1.56;2.05]\u0026[-1.34;1.84]\u0026[-1.10;1.60]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-7.18;8.88]\u0026[-5.27;6.98]\u0026[-4.55;6.26]\u0026[-3.72;5.42]\\\\[NEWLINE]\\hline[NEWLINE]\\multicolumn{5}{|c|}{$\\sqrt{s}$=5.29TeV}\\\\[NEWLINE]\\hline\\cline{1-5}[NEWLINE]$f_{M0}/\\Lambda^{4}$\u0026[-1.53;1.58]$\\times10^{2}$\u0026[-1.15;1.21]$\\times10^{2}$\u0026[-1.01;1.07]$\\times10^{2}$\u0026[-0.85;0.90]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M1}/\\Lambda^{4}$\u0026[-0.90;1.12]$\\times10^{2}$\u0026[-0.66;0.88]$\\times10^{2}$\u0026[-0.57;0.79]$\\times10^{2}$\u0026[-0.46;0.68]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M2}/\\Lambda^{4}$\u0026[-2.41;2.33]$\\times10^{1}$\u0026[-1.84;1.77]$\\times10^{1}$\u0026[-1.62;1.55]$\\times10^{1}$\u0026[-1.37;1.30]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M3}/\\Lambda^{4}$\u0026[-1.30;1.84]$\\times10^{1}$\u0026[-0.94;1.47]$\\times10^{1}$\u0026[-0.80;1.34]$\\times10^{1}$\u0026[-0.64;1.18]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M4}/\\Lambda^{4}$\u0026[-8.44;8.67]$\\times10^{1}$\u0026[-6.39;6.62]$\\times10^{1}$\u0026[-5.61;5.84]$\\times10^{1}$\u0026[-4.70;4.93]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M5}/\\Lambda^{4}$\u0026[-6.23;4.81]$\\times10^{1}$\u0026[-4.93;3.51]$\\times10^{1}$\u0026[-4.44;3.02]$\\times10^{1}$\u0026[-3.87;2.45]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{M7}/\\Lambda^{4}$\u0026[-2.19;1.83]$\\times10^{2}$\u0026[-1.71;1.35]$\\times10^{2}$\u0026[-1.53;1.17]$\\times10^{2}$\u0026[-1.32;0.96]$\\times10^{2}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T0}/\\Lambda^{4}$\u0026[-1.04;1.10]$\\times10^{1}$\u0026[-0.78;0.84]$\\times10^{1}$\u0026[-0.68;0.74]$\\times10^{1}$\u0026[-0.57;0.63]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T1}/\\Lambda^{4}$\u0026[-2.53;3.21]\u0026[-1.85;2.53]\u0026[-1.60;2.27]\u0026[-1.30;1.97]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T2}/\\Lambda^{4}$\u0026[-0.82;1.10]$\\times10^{1}$\u0026[-0.59;0.88]$\\times10^{1}$\u0026[-0.51;0.79]$\\times10^{1}$\u0026[-0.41;0.69]$\\times10^{1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T5}/\\Lambda^{4}$\u0026[-3.17;3.30]\u0026[-2.39;2.52]\u0026[-2.10;2.23]\u0026[-1.75;1.89]\\\\[NEWLINE]\\hline[NEWLINE]$f_{T6}/\\Lambda^{4}$\u0026[-8.17;9.32]$\\times10^{-1}$\u0026[-6.08;7.23]$\\times10^{-1}$\u0026[-5.29;6.44]$\\times10^{-1}$\u0026[-4.37;5.51]$\\times10^{-1}$\\\\[NEWLINE]\\hline[NEWLINE]$f_{T7}/\\Lambda^{4}$\u0026[-2.35;3.48]\u0026[-1.68;2.81]\u0026[-1.43;2.56]\u0026[-1.14;2.27]\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06842_36885corr_table_0.png","ground_truth":"\\begin{tabular}{l@{\\hskip1cm}c@{\\hskip1cm}c}[NEWLINE]\\hline\\hline[NEWLINE]Observingperiod\u0026$\\eta^{0}_{\\mathrm{mb}}$\u0026$\\sigma$[$\\mu\\mathrm{m}$]\\\\[3pt][NEWLINE]\\hline[NEWLINE]\\\\[NEWLINE]October2015-December2015\u00260.62\u002630[NEWLINE]\\\\[NEWLINE]July2016-November2016\u00260.73\u002630[NEWLINE]\\\\[NEWLINE]April2017\u00260.74\u002630[NEWLINE]\\\\[NEWLINE]July2017\u00260.66\u002630[NEWLINE]\\\\[NEWLINE]May2018-July2018\u00260.73\u002615[NEWLINE]\\\\[NEWLINE]November2018\u00260.75\u002613[NEWLINE]\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06842_36885corr_table_1.png","ground_truth":"\\begin{tabular}{l@{\\hskip1cm}l}[NEWLINE]\\hline\\hline[NEWLINE]species\u0026isotopologues[NEWLINE]\\\\[NEWLINE]\\hline[NEWLINE]\\\\[NEWLINE]CO\u0026$\\mathrm{CO}~,^{13}\\mathrm{CO}~,\\mathrm{C}^{18}\\mathrm{O}~,\\mathrm{C}^{17}\\mathrm{O}~,[NEWLINE]^{13}\\mathrm{C}^{18}\\mathrm{O}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{c-C}_{3}\\mathrm{H}_{2}$\u0026$\\mathrm{c-C}_{3}\\mathrm{H}_{2}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{C}_{2}\\mathrm{H}$\u0026$\\mathrm{C}_{2}\\mathrm{H}~,\\mathrm{C}_{2}\\mathrm{D}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{CF}^{+}$\u0026$\\mathrm{CF}^{+}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{CH}_{3}\\mathrm{CCH}$\u0026$\\mathrm{CH}_{3}\\mathrm{CCH}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{CH}_{3}\\mathrm{CN}$\u0026$\\mathrm{CH}_{3}\\mathrm{CN}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{CH}_{3}\\mathrm{OH}$\u0026$\\mathrm{CH}_{3}\\mathrm{OH}$[NEWLINE]\\\\[NEWLINE]CN\u0026CN,$^{13}\\mathrm{CN}$[NEWLINE]\\\\[NEWLINE]CS\u0026CS,$^{13}\\mathrm{CS}~,\\mathrm{C}^{34}\\mathrm{S}~,\\mathrm{C}^{33}\\mathrm{S}$[NEWLINE]\\\\[NEWLINE]HCCCN\u0026HCCCN[NEWLINE]\\\\[NEWLINE]HCN\u0026HCN,DCN,$\\mathrm{H}^{13}\\mathrm{CN}~,\\mathrm{HC}^{15}\\mathrm{N}$[NEWLINE]\\\\[NEWLINE]HCO\u0026HCO[NEWLINE]\\\\[NEWLINE]$\\mathrm{HCO}^{+}$\u0026$\\mathrm{HCO}^{+}~,\\mathrm{DCO}^{+}~,\\mathrm{H}^{13}\\mathrm{CO}^{+}~,[NEWLINE]\\mathrm{HC}^{18}\\mathrm{O}^{+}~,\\mathrm{HC}^{17}\\mathrm{O}^{+}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{HCS}^{+}$\u0026$\\mathrm{HCS}^{+}$[NEWLINE]\\\\[NEWLINE]HDO\u0026HDO[NEWLINE]\\\\[NEWLINE]$\\mathrm{H}_{2}\\mathrm{CCO}$\u0026$\\mathrm{H}_{2}\\mathrm{CCO}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{H}_{2}\\mathrm{CO}$\u0026$\\mathrm{H}_{2}\\mathrm{CO}~,\\mathrm{HDCO}~,[NEWLINE]\\mathrm{H}_{2}^{13}\\mathrm{CO}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{H}_{2}\\mathrm{CS}$\u0026$\\mathrm{H}_{2}\\mathrm{CS}~,\\mathrm{HDCS}~,[NEWLINE]\\mathrm{H}_{2}\\mathrm{C}^{34}\\mathrm{S}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{H}_{2}\\mathrm{S}$\u0026$\\mathrm{H}_{2}\\mathrm{S}$[NEWLINE]\\\\[NEWLINE]HNC\u0026HNC,DNC,$\\mathrm{HN}^{13}\\mathrm{C}$[NEWLINE]\\\\[NEWLINE]HNCO\u0026HNCO[NEWLINE]\\\\[NEWLINE]$\\mathrm{N}_{2}\\mathrm{H}^{+}$\u0026$\\mathrm{N}_{2}\\mathrm{H}^{+}~,\\mathrm{N}_{2}\\mathrm{D}^{+}$[NEWLINE]\\\\[NEWLINE]NO\u0026NO[NEWLINE]\\\\[NEWLINE]NS\u0026NS[NEWLINE]\\\\[NEWLINE]OCS\u0026OCS[NEWLINE]\\\\[NEWLINE]SiO\u0026SiO,$^{29}\\mathrm{SiO}~,^{30}\\mathrm{SiO}$[NEWLINE]\\\\[NEWLINE]SO\u0026SO,$^{34}\\mathrm{SO}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{SO}^{+}$\u0026$\\mathrm{SO}^{+}$[NEWLINE]\\\\[NEWLINE]$\\mathrm{SO}_{2}$\u0026$\\mathrm{SO}_{2}$[NEWLINE]\\\\\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06842_36885corr_table_2.png","ground_truth":"\\begin{tabular}{llcccccl}[NEWLINE]\\hline\\hline[NEWLINE]region\u0026explicitmask\u0026approx.size\u0026columndensityrange\u0026mediancolumndensity\u0026temperaturerange[NEWLINE]\u0026mediantemperature\u0026[NEWLINE]label$^{(\\dag)}$[NEWLINE]\\\\[NEWLINE]%tableheading[NEWLINE]\u0026\u0026[arcmin$^{2}$]\u0026$\\lbrack\\mathrm{cm}^{-2}\\rbrack$\u0026$\\lbrack\\mathrm{cm}^{-2}\\rbrack$\u0026$\\lbrack[NEWLINE]\\mathrm{K}\\rbrack$\u0026[NEWLINE]$\\lbrack\\mathrm{K}\\rbrack$[NEWLINE]\\\\[3pt][NEWLINE]\\hline[NEWLINE]\\\\[NEWLINE]allaveraged\u0026nomask\u0026210.0\u0026$9.3\\times10^{20}~-~\u003e1.4\\times10^{23}$$^{(*)}$[NEWLINE]\u0026$1.0\\times10^{22}$$^{(*)}$\u002617-53$^{(*)}$\u002625$^{(*)}$\u00261[NEWLINE]\\\\\\\\[NEWLINE]highcolumndensity\u0026$N\\geq3.6\\times10^{22}~\\mathrm{cm}^{-2}$\u002623.3\u0026$3.6\\times10^{22}~-~\u003e1.4\\times10^{23}$[NEWLINE]$^{(*)}$\u0026$4.9\\times10^{22}$$^{(*)}$\u002617-51$^{(*)}$\u002627$^{(*)}$\u00262[NEWLINE]\\\\\\\\[NEWLINE]highcolumndensitywithout\u0026$N\\geq3.6\\times10^{22}~\\mathrm{cm}^{-2}$\u002621.5\u0026$3.6\\times10^{22}~-~1.4\\times[NEWLINE]10^{23}$\u0026$4.9\\times10^{22}$\u002617-51\u002627\u00263[NEWLINE]\\\\[NEWLINE]KLandOrionSouth\u0026\u0026[NEWLINE]\\\\\\\\[NEWLINE]highcolumndensity,\u0026$N\\geq3.6\\times10^{22}~~\\mathrm{cm}^{-2}$\u00269.2\u0026$3.6[NEWLINE]\\times10^{22}~-~9.3\\times10^{22}$\u0026$4.7\\times10^{22}$\u002617-\u003c25\u002619\u00264[NEWLINE]\\\\[NEWLINE]lowtemperature\u0026$~T\u003c25~\\mathrm{K}$\u0026\u0026[NEWLINE]\\\\\\\\[NEWLINE]highcolumndensity,high\u0026$N\\geq3.6\\times10^{22}~\\mathrm{cm}^{-2}$\u002611.5\u0026$3.6[NEWLINE]\\times10^{22}~-~1.4\\times10^{23}$\u0026$5.5\\times10^{22}$\u002626-51\u002632\u00265[NEWLINE]\\\\[NEWLINE]temperature,withoutKL\u0026$~25\u003cT\u003c55~\\mathrm{K}$\u0026\u0026[NEWLINE]\\\\[NEWLINE]andOrionSouth\u0026\u0026[NEWLINE]\\\\\\\\[NEWLINE]lowcolumndensity\u0026$N\u003c3.6\\times10^{22}~\\mathrm{cm}^{-2}$\u0026186.7\u0026$9.3\\times10^{20}~-~\u003c3.6\\times10^{22}$[NEWLINE]\u0026$9.0\\times10^{21}$\u002617-53\u002625\u00266[NEWLINE]\\\\\\\\[NEWLINE]lowtemperature\u0026$T\u003c25~\\mathrm{K}$\u0026102.1\u0026$2.1\\times10^{21}~-~9.3\\times10^{22}$[NEWLINE]\u0026$1.2\\times10^{22}$\u002617-\u003c25\u002621\u00267[NEWLINE]\\\\\\\\[NEWLINE]lowcolumndensity,\u0026$N\u003c3.6\\times10^{22}~~\\mathrm{cm}^{-2}$\u002692.9\u0026$2.1\\times[NEWLINE]10^{21}~-~\u003c3.6\\times10^{22}$\u0026$1.1\\times10^{22}$\u002617-\u003c25\u002622\u00268[NEWLINE]\\\\[NEWLINE]lowtemperature\u0026$~T\u003c25~\\mathrm{K}$\u0026\u0026[NEWLINE]\\\\\\\\[NEWLINE]lowcolumndensity,\u0026$N\u003c3.6\\times10^{22}~~\\mathrm{cm}^{-2}$\u002693.7\u0026$9.3\\times[NEWLINE]10^{20}~-~\u003c3.6\\times10^{22}$\u0026$7.5\\times10^{21}$\u002625-53\u002634\u00269[NEWLINE]\\\\[NEWLINE]hightemperature\u0026$~25\u003cT\u003c55~\\mathrm{K}$[NEWLINE]\\\\\\\\[NEWLINE]hightemperature,\u0026$25\u003cT\u003c55~\\mathrm{K}$\u0026105.2\u0026$9.3\\times10^{20}~-~1.4\\times10^{23}$[NEWLINE]\u0026$8.5\\times10^{21}$\u002625-53\u002633\u002610[NEWLINE]\\\\[NEWLINE]withoutKLandOrionSouth\u0026\u0026[NEWLINE]\\\\\\\\[NEWLINE]\\ion{H}{ii}\u0026high$\\mathrm{H31}\\alpha$emission$^{(**)}$\u00266.4\u0026$7.9\\times10^{21}-~6.7\\times[NEWLINE]10^{22}$$^{(*)}$\u0026$1.7\\times10^{22}$$^{(*)}$\u002636-51$^{(*)}$\u002642\u002611[NEWLINE]\\\\\\\\[NEWLINE]radicalregion$^{(***)}$\u0026$130\\arcsec\\times130\\arcsec$around\u00265.1\u0026$1.8\\times10^{22}~-~1.4\\times[NEWLINE]10^{23}$\u0026$5.8\\times10^{22}$\u002627-38\u002630\u002612[NEWLINE]\\\\[NEWLINE]\u0026$\\alpha_{2000}=5^{\\mathrm{h}}35^{\\mathrm{m}}16.51^{\\mathrm{s}}$[NEWLINE]\u0026\u0026[NEWLINE]\\\\[NEWLINE]\u0026$\\delta_{2000}=-5^{\\circ}19^{\\arcmin}33.0^{\\arcsec}$\u0026\u0026[NEWLINE]\\\\[NEWLINE]\\\\[NEWLINE]densePDR\u0026$N\u003c3.6\\times10^{22}~~\\mathrm{cm}^{-2}$\u00264.7\u0026$8.8\\times10^{21}~-~3.5\\times10^{22}$[NEWLINE]\u0026$1.8\\times10^{22}$\u002637-51\u002644\u002613[NEWLINE]\\\\[NEWLINE]\u0026high$\\mathrm{C}65\\alpha$emission$^{(****)}$\u0026[NEWLINE]\\\\\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06842_36885corr_table_3.png","ground_truth":"\\begin{tabular}{l@{\\hskip1cm}c}[NEWLINE]\\hline[NEWLINE]\\hline[NEWLINE]species\u0026$\\intT_{\\mathrm{mb}}dv$$\\lbrack\\mathrm{K~km~s}^{-1}\\rbrack$\\\\[NEWLINE]\\hline[NEWLINE]\\\\[NEWLINE]CO\u00261464.9\\\\[NEWLINE]$^{13}$CO\u0026199.6\\\\[NEWLINE]C$^{18}$O\u002631.9\\\\[NEWLINE]C$^{17}$O\u00267.8\\\\[NEWLINE]$^{13}$C$^{18}$O\u00260.3\\\\[NEWLINE]c-C$_{3}$H$_{2}$\u00269.9\\\\[NEWLINE]C$_{2}$H\u002688.2\\\\[NEWLINE]C$_{2}$D\u00261.5\\\\[NEWLINE]CF$^{+}$\u00260.7\\\\[NEWLINE]CH$_{3}$CCH\u002668.9\\\\[NEWLINE]CH$_{3}$CN\u0026374.2\\\\[NEWLINE]CH$_{3}$OH\u0026921.1\\\\[NEWLINE]CN\u0026149.8\\\\[NEWLINE]$^{13}$CN\u00261.0\\\\[NEWLINE]CS\u0026159.4\\\\[NEWLINE]$^{13}$CS\u002616.1\\\\[NEWLINE]C$^{34}$S\u002617.0\\\\[NEWLINE]C$^{33}$S\u00265.7\\\\[NEWLINE]HC$_{3}$N\u0026195.5\\\\[NEWLINE]HCN\u0026480.3\\\\[NEWLINE]DCN\u002614.5\\\\[NEWLINE]H$^{13}$CN\u002669.5\\\\[NEWLINE]HC$^{15}$N\u002624.6\\\\[NEWLINE]HCO\u0026-\\\\[NEWLINE]HCO$^{+}$\u0026317.0\\\\[NEWLINE]DCO$^{+}$\u00264.1\\\\[NEWLINE]H$^{13}$CO$^{+}$\u002612.4\\\\[NEWLINE]HC$^{18}$O$^{+}$\u00261.4\\\\[NEWLINE]HC$^{17}$O$^{+}$\u0026-\\\\[NEWLINE]HCS$^{+}$\u00267.0\\\\[NEWLINE]HDO\u00267.7\\\\[NEWLINE]H$_{2}$CCO\u002610.4\\\\[NEWLINE]H$_{2}$CO\u0026343.3\\\\[NEWLINE]HDCO\u002622.9\\\\[NEWLINE]H$_{2}^{13}$CO\u002625.6\\\\[NEWLINE]H$_{2}$CS\u0026113.1\\\\[NEWLINE]HDCS\u0026-\\\\[NEWLINE]H$_{2}$C$^{34}$S\u0026-\\\\[NEWLINE]H$_{2}$S\u002629.8\\\\[NEWLINE]HNC\u002663.6\\\\[NEWLINE]DNC\u00262.1\\\\[NEWLINE]HN$^{13}$C\u00262.0\\\\[NEWLINE]HNCO\u002631.6\\\\[NEWLINE]N$_{2}$H$^{+}$\u002616.7\\\\[NEWLINE]N$_{2}$D$^{+}$\u00260.1\\\\[NEWLINE]NO\u002616.7\\\\[NEWLINE]NS\u00269.3\\\\[NEWLINE]OCS\u002665.3\\\\[NEWLINE]SiO\u0026289.8\\\\[NEWLINE]$^{29}$SiO\u002621.2\\\\[NEWLINE]$^{30}$SiO\u0026-\\\\[NEWLINE]SO\u00261291.6\\\\[NEWLINE]$^{34}$SO\u0026156.0\\\\[NEWLINE]SO$^{+}$\u0026-\\\\[NEWLINE]SO$_{2}$\u00261957.2\\\\[NEWLINE]\\\\[NEWLINE]\\hline[NEWLINE]total\u00269120.2[NEWLINE]\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06843_SIE_Bayesian_tex_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|}[NEWLINE]\\toprule[NEWLINE]Parameter\u0026Period1\u0026Period2\u0026Period3\u0026Period4\\\\[NEWLINE]\\hline[NEWLINE]$\\beta_0$\u0026$-1.298~(-1.392,-1.205)$\u0026$-2.284~(-2.339,-2.226)$\u0026$-3.416~(-3.483,-3.349)$\u0026$-2.748~(-2.811,-2.686)$\\\\[NEWLINE]$\\beta_1$\u0026$-0.026~(-0.114,0.059)$\u0026$-1.572~(-1.714,-1.430)$\u0026$0.735~(0.595,0.879)$\u0026$-1.545~(-1.745,-1.339)$\\\\[NEWLINE]$\\beta_2$\u0026$0.892~(0.764,1.018)$\u0026$-0.225~(-0.326,-0.116)$\u0026$0.159~(-0.032,0.322)$\u0026$-0.949~(-1.077,-0.821)$\\\\[NEWLINE]$\\beta_3$\u0026$0.543~(0.493,0.589)$\u0026$-0.011~(-0.058,0.040)$\u0026$0.209~(0.162,0.255)$\u0026$0.195~(0.150,0.238)$\\\\[NEWLINE]$\\beta_4$\u0026$-0.461~(-0.511,-0.410)$\u0026$0.089~(0.043,0.134)$\u0026$0.503~(0.452,0.557)$\u0026$0.052~(0.009,0.095)$\\\\[NEWLINE]$\\beta_5$\u0026$-3.593~(-3.661,-3.525)$\u0026$-2.056~(-2.125,-1.982)$\u0026$-1.192~(-1.254,-1.131)$\u0026$-0.925~(-0.988,-0.863)$\\\\[NEWLINE]$\\beta_6$\u0026$-2.626~(-2.686,-2.566)$\u0026$-2.453~(-2.530,-2.378)$\u0026$-2.545~(-2.609,-2.481)$\u0026$-2.920~(-2.989,-2.857)$\\\\[NEWLINE]$\\beta_7$\u0026$-7.286~(-7.404,-7.170)$\u0026$-5.893~(-6.010,-5.778)$\u0026$-4.970~(-5.072,-4.875)$\u0026$-4.605~(-4.709,-4.507)$\\\\[NEWLINE]$\\beta_8$\u0026$1.393~(1.248,1.534)$\u0026$1.050~(0.901,1.187)$\u0026$0.723~(0.598,0.856)$\u0026$0.645~(0.525,0.759)$\\\\[NEWLINE]\\hline[NEWLINE]$\\lambda_1$\u0026$0.590~(0.587,0.592)$\u0026$0.492~(0.489,0.495)$\u0026$0.691~(0.690,0.694)$\u0026$0.558~(0.555,0.560)$\\\\[NEWLINE]$\\lambda_2$\u0026$0.400~(0.398,0.403)$\u0026$0.473~(0.470,0.476)$\u0026$0.525~(0.523,0.527)$\u0026$0.441~(0.438,0.443)$\\\\[NEWLINE]$\\lambda_3$\u0026$0.010~(0.010,0.011)$\u0026$0.019~(0.019,0.020)$\u0026$-0.028~(-0.028,-0.027)$\u0026$-0.013~(-0.014,-0.013)$\\\\[NEWLINE]\\hline[NEWLINE]$\\sigma^2_{\\xi}$\u0026$0.393~(\\textnormal{fixed})$\u0026$0.430~(\\textnormal{fixed})$\u00260.341~(\\textnormal{fixed})\u0026$0.352~(\\textnormal{fixed})$\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06843_supp-BA-SIE_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|}[NEWLINE]\\toprule[NEWLINE]Parameter\u0026BHM(plug-in$\\hat{\\sigma}^2_{\\xi})$\u0026EHM\\\\[NEWLINE]\\hline[NEWLINE]$\\beta_{0}~(5)$\u0026$5.045~(4.923,5.169)$\u0026$5.517$\\\\[NEWLINE]$\\beta_1~(-15)$\u0026$-15.184~(-15.518,-14.851)$\u0026$-16.497$\\\\[NEWLINE]$\\sigma^2_{\\xi}~(0.05)$\u0026$0.050~(\\textnormal{fixed})$\u0026$0.050$\\\\[NEWLINE]$\\lambda_1~(0.4)$\u0026$0.244~(-0.062,0.537)$\u0026$0.282$\\\\[NEWLINE]$\\lambda_2~(0.4)$\u0026$0.307~(0.078,0.528)$\u0026$0.409$\\\\[NEWLINE]$\\lambda_3~(0.035)$\u0026$0.046~(-0.004,0.097)$\u0026$0.055$\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06843_supp-BA-SIE_table_1.png","ground_truth":"\\begin{tabular}{|c|cc|cc|cc|}[NEWLINE]\\toprule[NEWLINE]Method\u0026\\multicolumn{2}{c}{$y$-scale}\u0026\\multicolumn{2}{c}{$p$-scale}\u0026\\multicolumn{2}{|c|}{Forecasting}\\\\[NEWLINE]\\cline{2-7}[NEWLINE]\u0026MBD\u0026MAR\u0026MBD\u0026MAR\u0026$y$-scale\u0026$p$-scale\\\\[NEWLINE]\\hline[NEWLINE]BHM(fixed$\\sigma^2_{\\xi}$)\u0026$0.50$\u0026$0.31$\u0026$0.04$\u0026$0.04$\u0026$1.21$\u0026$0.15$\\\\[NEWLINE]EHM-EM\u0026$1.32$\u0026$0.45$\u0026$0.07$\u0026$0.04$\u0026$1.39$\u0026$0.17$\\\\[NEWLINE]EHM-TRUE\u0026$0.36$\u0026$0.29$\u0026$0.03$\u0026$0.04$\u0026$1.12$\u0026$0.16$\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06843_supp-BA-SIE_table_2.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|}[NEWLINE]\\toprule[NEWLINE]Parameter\u0026$\\sigma^2_{\\xi}=0.025$\u0026$\\sigma^2_{\\xi}=0.050$(EM)\u0026$\\sigma^2_{\\xi}=0.075$\u0026$\\sigma^2_{\\xi}=0.100$\\\\[NEWLINE]\\hline[NEWLINE]$\\beta_{0}~(5)$\u0026$5.039~(4.910,5.168)$\u0026$5.045~(4.923,5.169)$\u0026.$5.037~(4.911,5.160)$\u0026$5.042~(4.914,5.169)$\\\\[NEWLINE]$\\beta_1~(-15)$\u0026$-15.140~(-15.492,-14.802)$\u0026$-15.184~(-15.518,-14.851)$\u0026$-15.178~(-15.511,-14.846)$\u0026$-15.198~(-15.537,-14.851)$\\\\[NEWLINE]$\\lambda_1~(0.4)$\u0026$0.236~(-0.087,0.548)$\u0026$0.244~(-0.062,0.537)$\u0026$0.291~(0.005,0.614)$\u0026$0.257~(-0.044,0.548)$\\\\[NEWLINE]$\\lambda_2~(0.4)$\u0026$0.301~(0.073,0.530)$\u0026$0.307~(0.078,0.528)$\u0026$0.340~(0.120,0.564)$\u0026$0.321~(0.106,0.543)$\\\\[NEWLINE]$\\lambda_3~(0.035)$\u0026$0.041~(-0.004,0.091)$\u0026$0.046~(-0.004,0.097)$\u0026$0.038~(-0.009,0.085)$\u0026$0.040~(-0.005,0.084)$\\\\[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06843_supp-BA-SIE_table_3.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\toprule[NEWLINE]Period1\u00261997\u00261998\u00261999\u00262000\u00262001\\\\[NEWLINE]Accuracy\u0026$97\\%$\u0026$96\\%$\u0026$95\\%$\u0026$96\\%$\u0026$97\\%$\\\\[NEWLINE]\\hline[NEWLINE]Period2\u00262002\u00262003\u00262004\u00262005\u00262006\\\\[NEWLINE]Accuracy\u0026$96\\%$\u0026$97\\%$\u0026$98\\%$\u0026$97\\%$\u0026$96\\%$\\\\[NEWLINE]\\hline[NEWLINE]Period3\u00262007\u00262008\u00262009\u00262010\u00262011\\\\[NEWLINE]Accuracy\u0026$96\\%$\u0026$95\\%$\u0026$96\\%$\u0026$95\\%$\u0026$95\\%$\\\\[NEWLINE]\\hline[NEWLINE]Period4\u00262012\u00262013\u00262014\u00262015\u00262016\\\\[NEWLINE]Accuracy\u0026$96\\%$\u0026$97\\%$\u0026$97\\%$\u0026$96\\%$\u0026$96\\%$\\\\[NEWLINE]\\hline[NEWLINE]\\bottomrule[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06845_arxiv_table_0.png","ground_truth":"\\begin{tabular}{l|p{1.1cm}p{1.1cm}p{1.1cm}p{1.1cm}p{1.1cm}p{1.1cm}p{1.1cm}p{1.1cm}}[NEWLINE]%\\hline[NEWLINE]%\\multicolumn{1}{c|}{\\multirow{2}{*}{Models}}\u0026\\multicolumn{8}{c}{mAP@IoU}\\\\\\cline{2-9}[NEWLINE]%\\multicolumn{1}{c|}{}\u00260.1\u00260.2\u00260.3\u00260.4\u00260.5\u00260.6\u00260.7\u0026AVG\\\\\\hline[NEWLINE]%Weakly\u002613.6\u002610.1\u00265.2\u00262.9\u00261.7\u00261.4\u00261.0\u00265.1\\\\[NEWLINE]%SF\u002649.5\u002642.6\u002637.2\u002629.9\u002622.6\u002621.1\u002620.6\u002627.7\\\\[NEWLINE]%SFB\u002643.7\u002640.1\u002636.1\u002628.1\u002622.6\u002620.0\u002619.8\u002630.1\\\\[NEWLINE]%SFBA\u002645.4\u002637.1\u002632.5\u002627.5\u002622.6\u002620.8\u002616.5\u002628.9\\\\[NEWLINE]%SFBAE\u002649.2\u002642.1\u002636.3\u002630.2\u002623.7\u002621.8\u002618.9\u002631.7\\\\[NEWLINE]%Fully\u002651.7\u002642.9\u002637.1\u002629.0\u002621.4\u002619.0\u002615.9\u002631.0\\\\\\hline[NEWLINE]%\\end{tabular}"} +{"file_name":"2003.06845_arxiv_table_1.png","ground_truth":"\\begin{tabular}{l|c|p{1.7cm}p{1.7cm}p{1.7cm}p{1.7cm}}[NEWLINE]\\hline[NEWLINE]\\multirow{2}{*}{Position}\u0026\\multirow{2}{*}{mAP@hit}\u0026\\multicolumn{4}{c}{SegmentmAP@IoU}\\\\\\cline{3-6}[NEWLINE]\\multicolumn{1}{c|}{}\u0026\u00260.3\u00260.5\u00260.7\u0026AVG\\\\\\hline[NEWLINE]Annotation\u0026\\textbf{60.2}$\\pm$0.70\u0026\\textbf{53.3}$\\pm$0.30\u002628.8$\\pm$0.57\u00269.7$\\pm$0.35\u0026\\textbf{40.6}$\\pm$0.40\\\\[NEWLINE]TS\u002657.6$\\pm$0.60\u002652.0$\\pm$0.35\u0026\\textbf{30.2}$\\pm$0.48\u0026\\textbf{11.8}$\\pm$0.35\u002640.5$\\pm$0.28\\\\[NEWLINE]TSinGT\u002652.8$\\pm$0.85\u002647.4$\\pm$0.72\u002626.2$\\pm$0.64\u00269.1$\\pm$0.41\u002636.7$\\pm$0.52\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06974_main_table_0.png","ground_truth":"\\begin{tabular}{l|c|c|c}[NEWLINE]\\hline[NEWLINE]\u0026Clean\u0026RandAdv\u0026GridAdv\\\\\\hline[NEWLINE]Standard\u002680.63\u00268.82\u00260.09\\\\\\hline[NEWLINE]RT($\\lambda=0.15$)\u002685.24\u002664.45\u002641.23\\\\[NEWLINE]SRT($\\lambda=0.15$)\u0026$\\bm{88.04}$\u0026$\\bm{78.03}$\u0026$\\bm{62.97}$\\\\\\hline[NEWLINE]RT($\\lambda=0.20$)\u002685.71\u002666.43\u002644.28\\\\[NEWLINE]SRT($\\lambda=0.20$)\u0026$\\bm{88.87}$\u0026$\\bm{78.99}$\u0026$\\bm{64.83}$\\\\\\hline[NEWLINE]RT($\\lambda=0.25$)\u002685.59\u002667.95\u002645.93\\\\[NEWLINE]SRT($\\lambda=0.25$)\u0026$\\bm{88.40}$\u0026$\\bm{78.39}$\u0026$\\bm{64.15}$\\\\\\hline[NEWLINE]RT($\\lambda=0.30$)\u002684.99\u002667.47\u002645.72\\\\[NEWLINE]SRT($\\lambda=0.30$)\u0026$\\bm{87.99}$\u0026$\\bm{78.12}$\u0026$\\bm{62.73}$\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06974_main_table_1.png","ground_truth":"\\begin{tabular}{l|c|c|c}[NEWLINE]\\hline[NEWLINE]\u0026Clean\u0026RandAdv\u0026GridAdv\\\\\\hline[NEWLINE]Standard\u002697.19\u002671.00\u002640.49\\\\\\hline[NEWLINE]RT($\\lambda=0.15$)\u002698.47\u002692.88\u002672.85\\\\[NEWLINE]SRT($\\lambda=0.15$)\u0026$\\bm{98.61}$\u0026$\\bm{96.85}$\u0026$\\bm{91.52}$\\\\\\hline[NEWLINE]RT($\\lambda=0.20$)\u002698.33\u002693.66\u002676.68\\\\[NEWLINE]SRT($\\lambda=0.20$)\u0026$\\bm{98.64}$\u0026$\\bm{97.02}$\u0026$\\bm{92.12}$\\\\\\hline[NEWLINE]RT($\\lambda=0.25$)\u002698.29\u002693.91\u002678.00\\\\[NEWLINE]SRT($\\lambda=0.25$)\u0026$\\bm{98.63}$\u0026$\\bm{96.91}$\u0026$\\bm{91.70}$\\\\\\hline[NEWLINE]RT($\\lambda=0.30$)\u002698.42\u002693.86\u002677.74\\\\[NEWLINE]SRT($\\lambda=0.30$)\u0026$\\bm{98.62}$\u0026$\\bm{97.08}$\u0026$\\bm{91.44}$\\\\\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06974_main_table_4.png","ground_truth":"\\begin{tabular}{c|c|cccccc|c}[NEWLINE]\\hline[NEWLINE]\u0026Clean\u0026FGSM\u0026PGD\u0026MI-FGSM\u0026JSMA\u0026C\\\u0026W\u0026DDNA\u0026Time(mins)\\\\\\hline[NEWLINE]AT\u002677.17\u002650.35\u002637.37\u002636.97\u002610.80\u002633.42\u002620.87\u0026895\\\\[NEWLINE]TRADES\u002676.72\u002651.98\u002640.20\u002639.79\u002611.90\u002636.09\u002622.37\u002610,94\\\\\\hline[NEWLINE]SRT\u002678.46\u002659.34\u002648.66\u002648.24\u002616.99\u002643.33\u002627.71\u00262,916\\\\[NEWLINE]fastSRT\u002682.27\u002658.27\u002644.93\u002644.45\u002612.27\u002640.85\u002626.12\u0026257\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06975_root_table_0.png","ground_truth":"\\begin{tabular}{llll}[NEWLINE]\\hline[NEWLINE]Dataset\u0026Classscore\u0026Litterscore\u0026Ratioscore\\\\[NEWLINE]\\hline[NEWLINE]TACO\\_1\u002615.9$\\pm$1.0\u002626.2$\\pm$1.0\u002626.1$\\pm$1.0\\\\[NEWLINE]TACO\\_10\u002617.6$\\pm$1.6\u002618.4$\\pm$1.5\u002619.4$\\pm$1.5\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06981_arXiv_version_2020_july_table_0.png","ground_truth":"\\begin{tabular}{lccccc}[NEWLINE]\\hline[NEWLINE]%after\\\\:\\hlineor\\cline{col1-col2}\\cline{col3-col4}...[NEWLINE]\\textbf{k}\u0026\\textbf{Result}\u0026\\textbf{MeanSquareError}\u0026\\textbf{TrueValue}\u0026\\textbf{Difference}\u0026\\textbf{\\%Error}\\\\[NEWLINE]\\hline[NEWLINE]1\u00265.9740\u00260.01689567\u00265.821608\u00260.152458\u00260.0261\\%\\\\[NEWLINE]2\u00265.8622\u00260.01158859\u00265.821608\u00260.04059157\u00260.0069\\%\\\\[NEWLINE]3\u00265.7871\u00260.00821813\u00265.821608\u00260.03441365\u00260.0059\\%\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06993_tc0_icalp_table_0.png","ground_truth":"\\begin{tabular}{|c|c|c|c|c|c|}[NEWLINE]\\hline[NEWLINE]$k$\u0026$1$\u0026$2$\u0026$3$\u0026$4$\u0026$5$\\\\\\hline[NEWLINE]$\\CB^+_{i,k}(\\*A)$\u0026$4$\u0026$2$\u0026$2$\u0026$0$\u0026$0$\\\\\\hline[NEWLINE]$\\NNV^+_{i,k}(\\*A)$\u0026$2$\u0026$2$\u0026$2$\u0026$1$\u0026$0$\\\\\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06996_3_flv_Tensor_preprint_table_0.png","ground_truth":"\\begin{tabular}{c||c|c|c|c|c|c|c}[NEWLINE]\\hline[NEWLINE]\u0026$m_u$\u0026$m_d$\u0026$m_s$\u0026$G_s$\u0026$G_T$\u0026$G_D$\u0026$\\Lambda$\\\\[NEWLINE]\u0026[/GeV]\u0026[/GeV]\u0026[/GeV]\u0026[/GeV$^{-2}$]\u0026[/GeV$^{-2}$]\u0026[/GeV$^{-5}$][NEWLINE]\u0026[/GeV][NEWLINE]\\\\\\hline[NEWLINE]ModelO\u00260.0055\u00260.0055\u00260.1375\u00265.5\u0026$2G_s$\\(=11.0)\u00260\u00260.6314\\\\[NEWLINE]\\hline[NEWLINE]ModelI\u00260.0055\u00260.0055\u00260.1375\u00264.6\u0026$2G_s$\\(=9.2)\u00269.288/$\\Lambda^5$\u00260.6314\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.06998_HXMTcal_table_1.png","ground_truth":"\\begin{tabular}{|c|c|c|}[NEWLINE]\\hline[NEWLINE]No.\u0026Energy(keV)\u0026Intensity(\\%)\\\\[NEWLINE]\\hline[NEWLINE]1\u002625.25\u00261.31\\\\[NEWLINE]\\hline[NEWLINE]2\u002627.75\u00262.98\\\\[NEWLINE]\\hline[NEWLINE]3\u002628.25\u00261.14\\\\[NEWLINE]\\hline[NEWLINE]4\u002629.25\u00268.82\\\\[NEWLINE]\\hline[NEWLINE]5\u002630.25\u002625.44\\\\[NEWLINE]\\hline[NEWLINE]6\u002630.55\u00260.93\\\\[NEWLINE]\\hline[NEWLINE]7\u002631.75\u002642.00\\\\[NEWLINE]\\hline[NEWLINE]8\u002633.25\u002610.77\\\\[NEWLINE]\\hline[NEWLINE]9\u002636.25\u00261.45\\\\[NEWLINE]\\hline[NEWLINE]10\u002639.75\u00262.35\\\\[NEWLINE]\\hline[NEWLINE]11\u002640.25\u00262.80\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} +{"file_name":"2003.06998_HXMTcal_table_2.png","ground_truth":"\\begin{tabular}{|c|c|c|}[NEWLINE]\\hline[NEWLINE]Lines\u0026Energy(keV)\u0026FitRange(keV)\\\\[NEWLINE]\\hline[NEWLINE]Mg,Al\u00261.355,1.475\u00261.20--1.60\\\\[NEWLINE]\\hline[NEWLINE]Si\u00261.861\u00261.62--2.04\\\\[NEWLINE]\\hline[NEWLINE]S\u00262.456\u00262.12--2.74\\\\[NEWLINE]\\hline[NEWLINE]S,Ar\u00262.899,3.133\u00262.69--3.31\\\\[NEWLINE]\\hline[NEWLINE]Ca\u00263.892\u00263.55--4.21\\\\[NEWLINE]\\hline[NEWLINE]Fe\u00266.637\u00266.32--7.01\\\\[NEWLINE]\\hline[NEWLINE]Ni,Cu,Zn\u00267.472,8.041,8.631\u00266.91--9.55\\\\[NEWLINE]\\hline[NEWLINE]\\end{tabular}"} 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+{"file_name":"2003.07058_ArXiv_MS2019_table_2.png","ground_truth":"\\begin{tabular}{|p{1cm}|p{1.5cm}|p{6cm}|p{5cm}|p{1.2cm}|}[NEWLINE]\\hline[NEWLINE]\\textbf{S.No.}\u0026\\textbf{Code}\u0026\\textbf{CompanyName}\u0026\\textbf{Sector}\u0026\\textbf{Abbrv}\\\\\\hline[NEWLINE][NEWLINE]51\u0026WYNN\u0026WynnResortsLtd\u0026ConsumerDiscretionary\u0026CD\\\\\\hline[NEWLINE]52\u0026YUM\u0026Yum!BrandsInc\u0026ConsumerDiscretionary\u0026CD\\\\\\hline[NEWLINE]53\u0026ADM\u0026Archer-Daniels-MidlandCo\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]54\u0026CAG\u0026ConagraBrands\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]55\u0026CHD\u0026Church\\\u0026Dwight\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]56\u0026CL\u0026Colgate-Palmolive\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]57\u0026CLX\u0026TheCloroxCompany\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]58\u0026COST\u0026CostcoWholesaleCorp.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]59\u0026CPB\u0026CampbellSoup\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]60\u0026CVS\u0026CVSHealth\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]61\u0026EL\u0026EsteeLauderCos.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]62\u0026GIS\u0026GeneralMills\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]63\u0026HRL\u0026HormelFoodsCorp.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]64\u0026HSY\u0026TheHersheyCompany\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]65\u0026K\u0026KelloggCo.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]66\u0026KMB\u0026Kimberly-Clark\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]67\u0026KO\u0026Coca-ColaCompany(The)\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]68\u0026KR\u0026KrogerCo.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]69\u0026MDLZ\u0026MondelezInternational\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]70\u0026MKC\u0026McCormick\\\u0026Co.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]71\u0026MNST\u0026MonsterBeverage\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]72\u0026MO\u0026AltriaGroupInc\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]73\u0026PEP\u0026PepsiCoInc.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]74\u0026PG\u0026Procter\\\u0026Gamble\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]75\u0026SJM\u0026JMSmucker\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]76\u0026STZ\u0026ConstellationBrands\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]77\u0026SYY\u0026SyscoCorp.\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]78\u0026TAP\u0026MolsonCoorsBrewingCompany\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]79\u0026TSN\u0026TysonFoods\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]80\u0026WBA\u0026WalgreensBootsAlliance\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]81\u0026WMT\u0026Wal-MartStores\u0026ConsumerStaples\u0026CS\\\\\\hline[NEWLINE]82\u0026APA\u0026ApacheCorporation\u0026Energy\u0026EG\\\\\\hline[NEWLINE]83\u0026COG\u0026CabotOil\\\u0026Gas\u0026Energy\u0026EG\\\\\\hline[NEWLINE]84\u0026COP\u0026ConocoPhillips\u0026Energy\u0026EG\\\\\\hline[NEWLINE]85\u0026CVX\u0026ChevronCorp.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]86\u0026DVN\u0026DevonEnergyCorp.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]87\u0026EOG\u0026EOGResources\u0026Energy\u0026EG\\\\\\hline[NEWLINE]88\u0026FTI\u0026TechnipFMC\u0026Energy\u0026EG\\\\\\hline[NEWLINE]89\u0026HAL\u0026HalliburtonCo.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]90\u0026HES\u0026HessCorporation\u0026Energy\u0026EG\\\\\\hline[NEWLINE]91\u0026HP\u0026Helmerich\\\u0026Payne\u0026Energy\u0026EG\\\\\\hline[NEWLINE]92\u0026MRO\u0026MarathonOilCorp.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]93\u0026NBL\u0026NobleEnergyInc\u0026Energy\u0026EG\\\\\\hline[NEWLINE]94\u0026NOV\u0026NationalOilwellVarcoInc.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]95\u0026OKE\u0026ONEOK\u0026Energy\u0026EG\\\\\\hline[NEWLINE]96\u0026PXD\u0026PioneerNaturalResources\u0026Energy\u0026EG\\\\\\hline[NEWLINE]97\u0026SLB\u0026SchlumbergerLtd.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]98\u0026VLO\u0026ValeroEnergy\u0026Energy\u0026EG\\\\\\hline[NEWLINE]99\u0026WMB\u0026WilliamsCos.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]100\u0026XEC\u0026CimarexEnergy\u0026Energy\u0026EG\\\\\\hline[NEWLINE]101\u0026XOM\u0026ExxonMobilCorp.\u0026Energy\u0026EG\\\\\\hline[NEWLINE]102\u0026AFL\u0026AFLACInc\u0026Financials\u0026FN\\\\\\hline[NEWLINE]\\end{tabular}"} 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