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\begin{tabular}{cccccc} \hline\hline $y$ & $a$ & $b$ & $c$ & $d$ & $e$ \\ \hline $\bar{I}^r$ & $0.121$ & 0.169 &$1.25\times10^{-2}$ & $-9.38\times10^{-5}$ & $-1.92\times10^{-5}$\\ \hline $\bar{I}$ & 1.47 & $8.17\times10^{-2}$ &$1.49\times10^{-2}$ & $2.87\times10^{-4}$ & $-3.64\times10^{-5}$ \\ \hline\hline \end{tabular}
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\begin{tabular}{cccccc} \hline\hline EOS & $m/M_\odot$ & $R /{\rm km}$ & $k_2$ & $\bar{I}^r$ & $\bar{I}$ \\ \hline GM1 & 1.4 & 13.79 & 0.116 & 6.151 & 15.85 \\ \hline GM1 & 1.35 & 13.78 & 0.121 & 6.578 &16.87 \\ \hline FPS & 1.4 & 10.90 &0.0668 &3.709 &10.09\\ \hline FPS & 1.35 & 10.95 &0.0711&4.000 &10.77 \\ \hline \end{tabular}
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\begin{tabular}{ccccccc} \hline\hline Parameters & $\Delta\Omega_{s1}$ & $\Delta\Omega_{s2}$ & $\Delta\mathcal{I}_{1}$ & $\Delta\mathcal{I}_{2}$ & $(\bar{I}^r_1)^{-2}$ & $(\bar{I}^r_2)^{-2}$ \\ \hline FPS/GM1 & 2.67 & 2.65 & 3.23 & 2.78 & 2.77 & 2.72 \\ \hline\hline \end{tabular}
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\begin{tabular}{ccccc} \hline\hline Parameters & $\Delta \bar{\lambda}^{(1)}_f/ \bar{\lambda}^{(1)}_f$ & $\Delta \bar{\lambda}^{(2)}_f/ \bar{\lambda}^{(2)}_f$ & $\Delta\psi^{(1)}$ (rad) & $\Delta\psi^{(2)}$ (rad) \\ \hline Constraints & 0.26 & 0.22 & 0.18 & 0.28 \\ \hline\hline \end{tabular}
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\begin{tabular}{cccc} \hline\hline \multirow{2}{*}{Parameters} & Best & Best & Worst \\ & constraints & improvement & improvement\\ \hline $\Delta \bar{\lambda}^{s}_f/ \bar{\lambda}^{s}_f$ & $10^{-2}$ & 389 & 1 \\ \hline $\Delta \bar{\lambda}^{a}_f/ \bar{\lambda}^{a}_f$ & 1.84& 336&1 \\ \hline $\Delta\Xi/\Xi$ & $5\times10^{-3}$ & 11.6 &1\\ \hline\hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline \bf{Dataset} & \bf{D} & $\bf{\boldsymbol{\sigma^2}}$ \bf{($\bf{\boldsymbol{\mu} m^2}$)} & $\bf{\Delta t}$ \bf{(s)} & $\bf{r^2}$ \bf{($\boldsymbol{\mu} \mathbf{m^2}$)} & \bf{$\boldsymbol{\sigma^2/r^2}$} & \bf{RMS step size ($\bf{nm}$)} \\ \hline Simulated simple 2D diffusion & 0.0055 ($\mu m^2/s$) & 7.94 $\times 10^{-5}$ & 0.058 & 0.00128 & 0.062 & 35.7 \\ \hline Simulated simple 2D diffusion & 0.1389 ($\mu m^2/s$) & 0.0015 & 0.01 & 0.0056 & 0.270 & 74.6 \\ \hline Simulated simple 2D diffusion & 0.0062 ($\mu m^2/s$) & 0.0013 & 0.01 & 2.48 $\times 10^{-4}$ & 5.24 & 15.7 \\ \hline Optically-trapped bead in water & 0.14 ($\mu m^2/s$) & 2.80 $\times 10^{-7}$ & 4.8 $\times 10^{-5}$ & 1.34 $\times 10^{-5}$ & 0.021 & 3.7 \\ \hline Optically-trapped bead in PEO & 3.3 $\times 10^{-5}$ ($\mu m^2/s^{0.20}$) & 2.80 $\times 10^{-7}$ & 5.0 $\times 10^{-5}$ &9.1 $\times 10^{-5}$ & 0.031 & 3.0 \\ \hline Gene locus \textit{mmf1} & 0.0061 ($\mu m^2/s^{0.39}$) & 0.0027 & 0.058 & 0.0080 & 0.338 & 89.4 \\ \hline Simulated fBm & 0.0055 ($\mu m^2/s^{0.44}$) & 0.0032 & 0.058 & 0.0063 & 0.51 & 79.4 \\ \hline \end{tabular}
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\begin{tabular}{lrr} \textbf{Filter} & \textbf{images removed} & \textbf{time / image} \\ \hline person detector & 78.6\% & 0.99s \\ photo detector & 65.3\% & 0.58s \\ NSFW detector & 7.7\% & 0.33s \\ public/private scene & 20.3\% & 0.34s \\ \hline \end{tabular}
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\begin{tabular}{lr} \textbf{stage of pipeline} & \textbf{\# tweets} \\ \hline crawled tweets with images & 470,255 \\ after all image filtering & 42,978 \\ after automated geolocating & 25,541 \\ annotated via crowdsourcing & 2,461 \\ with location validated by crowd & 2,061 \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \textbf{Filter} & \textbf{Precision} & \textbf{Recall} & \textbf{F1} \\ \hline photo detector & 99.77\% & 94.67\% & 97.15\% \\ people detector & 95.81\% & 98.77\% & 97.26\% \\ NSFW detector & 99.38\% & 99.85\% & 99.61\% \\ public-private scene & 91.81\% & 96.91\% & 94.29\% \\ \hline \end{tabular}
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\begin{tabular}{lcccccc} \textbf{\shortstack{Crawl\\Date} } & \textbf{\shortstack{Tweets\\number}} & \textbf{\shortstack{\emph{Yes} \\ corr.}} & \textbf{\shortstack{\emph{No} \\ corr.}} & \textbf{\shortstack{Visual\\Cit}} & \textbf{\shortstack{Covid\\Data\\Hub}} & \textbf{\shortstack{Com-\\mon} }\\ \hline May-13 & 3,605 & 0.91 & 0.85 & 10 & 25 & 7 \\ Aug-01 & 5,412 &\multicolumn{2}{c}{none in common} & 10 & 4 & 0\\ Aug 17-23& 5,944 & 0.18 & 0.63 & 15 & 29 & 9 \\ \hline \end{tabular}
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\begin{tabular}{lcccc} \toprule & Pt$\rightarrow$En & Tr$\rightarrow$En & En$\rightarrow$De$_1$ & En$\rightarrow$De$_2$\\[0.5ex] \hline $\mathcal{T}$&$61$M & $61$M &$52$M & $63$M\\ $\mathcal{S}$&$31$M &$31$M & $22$M & $34$M\\ \bottomrule \end{tabular}
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\begin{tabular}{lccccccc} \toprule & en & ar & fr & ru & hi & sw & te \\ \toprule corpus size & 44.6 & 8.7 & 16.2 & 13.1 & 0.5 & 0.2 & 0.3\\ NER & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark \\ POS & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark & & \checkmark\\ QA & \checkmark & \checkmark & & \checkmark & & \checkmark & \checkmark\\ XNLI & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark & \\ \bottomrule \end{tabular}
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\begin{tabular}{l|ccccc} \toprule Model & ar & ru & sw & te & avg \\ \toprule \multicolumn{6}{c}{Within-language Monolingual}\\ \toprule Mono & 74.2 & 63.1 & 52.5 & 58.2 & 62.0 \\ JointPair & 71.3 & 58.2 & 52.8 & 52.2 & 58.6 \\ \enspace + ffn & 73.4 & 61.2 & 51.4 & 57.5 & 60.9 \\ \enspace + attn & 72.8 & 60.8 & 51.2 & 52.8 & 59.4 \\ \enspace + adpt & 71.5 & 59.4 & 52.1 & 55.5 & 59.6 \\ \enspace + share adpt & 71.0 & 58.5 & 52.8 & 53.9 & 59.1 \\ \enspace + meta adpt & 73.0 & 61.8 & 54.5 & 56.2 & 61.4 \\ \toprule XLM & 74.3 & 62.5 & 58.7 & 55.4 & 62.7 \\ \toprule \multicolumn{6}{c}{Zero-shot Cross-lingual}\\ \toprule JointPair & 54.1 & 43.2 & 41.5 & 21.5 & 40.1 \\ \enspace + ffn & 2.2 & 0.0 & 4.4 & 0.0 & 1.7 \\ \enspace + attn & 3.7 & 2.1 & 0.7 & 0.0 & 1.6 \\ \enspace + adpt & 53.4 & 44.7 & 41.2 & 20.4 & 39.9 \\ \enspace + share adpt & 54.3 & 44.8 & 42.2 & 22.7 & 41.0 \\ \enspace + meta adpt & 57.5 & 45.8 & 43.0 & 23.1 & 42.4 \\ \toprule XLM & 59.4 & 47.3 & 42.3 & 16.3 & 41.3 \\ \bottomrule \end{tabular}
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\begin{tabular}{l|cc|cc} \toprule \multirow{2}{*}{Model} & \multicolumn{2}{c|}{NER (F1)} & \multicolumn{2}{c}{POS (F1)} \\ & hi & te & hi & te \\ \toprule \multicolumn{5}{c}{Within-language Monolingual}\\ \toprule JointPair & 88.3 & 76.2 & 95.2 & 88.7 \\ JointTri & 87.8 & 76.4 & 95.3 & 88.7 \\ \toprule \multicolumn{5}{c}{Zero-shot Cross-lingual}\\ \toprule JointPair & 61.4 & 45.2 & 58.9 & 72.8 \\ JointTri & 63.5 & 47.6 & 59.5 & 74.4 \\ \bottomrule \end{tabular}
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\begin{tabular}{l|cccc|cccc|cc} \toprule \multirow{2}{*}{Model} & \multicolumn{4}{c|}{NER (F1)} & \multicolumn{4}{c|}{POS (F1)} & \multicolumn{2}{c}{QA (F1/EM)} \\ & fr & $\text{fr}_{l}$ & ru & $\text{ru}_{l}$ & fr & $\text{fr}_{l}$ & ru & $\text{ru}_{l}$ & ru & $\text{ru}_{l}$ \\ \toprule \multicolumn{11}{c}{Within-language Performance on fr/ru}\\ \toprule Mono & 88.0 & 81.7 & 87.8 & 82.4 & 76.2 & 68.5 & 96.7 & 88.7 & 63.1/49.2 & 47.2/29.5\\ JointPair & 86.5 & 83.2 & 84.2 & 82.7 & 75.8 & 71.4 & 93.2 & 89.5 & 58.2/43.1 & 49.5/30.4\\ \toprule \multicolumn{11}{c}{Within-language Performance on en}\\ \toprule JointPair & 78.6 & 78.4 & 75.8 & 75.9 & 94.5 & 94.5 & 92.7 & 92.3 & 61.7/49.8 & 62.1/50.2 \\ \bottomrule \end{tabular}
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\begin{tabular}{l|cccccc} \toprule Model & ar & fr & ru & hi & sw & avg \\ \toprule JointPair & 67.1 & 73.5 & 69.2 & 61.5 & 62.3 & 66.7 \\ \enspace + ffn & 42.5 & 51.4 & 40.7 & 36.2 & 34.8 & 41.1\\ \enspace + attn & 48.5 & 50.7 & 41.2 & 33.3 & 35.1 & 41.8 \\ \enspace + adpt & 67.8 & 73.7 & 69.5 & 62.2 & 59.7 & 66.6 \\ \enspace + share adpt & 67.9 & 73.4 & 70.0 & 61.8 & 62.2 & 67.1 \\ \enspace + meta adpt & 68.5 & 74.8 & 70.2 & 64.5 & 61.5 & 67.9 \\ \toprule XLM & 68.2 & 75.2 & 72.3 & 65.4 & 58.1 & 67.8 \\ \bottomrule \end{tabular}
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\begin{tabular}{l|ccccc} \toprule Model & ar & ru & sw & te & avg \\ \toprule \multicolumn{6}{c}{Within-language Monolingual}\\ \toprule Mono & 74.2/62.5 & 63.1/49.2 & 52.5/37.4 & 58.2/41.0 & 62.0/47.5 \\ JointPair & 71.3/58.1 & 58.2/43.1 & 52.8/39.0 & 52.2/36.4 & 58.6/44.2 \\ \enspace + ffn & 73.4/61.2 & 61.2/45.8 & 51.4/34.3 & 57.5/40.5 & 60.9/45.5 \\ \enspace + attn & 72.8/61.0 & 60.8/45.4 & 51.2/34.0 & 52.8/36.8 & 59.4/44.3 \\ \enspace + adpt & 71.5/58.7 & 59.4/44.8 & 52.1/38.7 & 55.5/38.9 & 59.6/45.3 \\ \enspace + share adpt & 71.0/57.8 & 58.5/43.2 & 52.8/39.0 & 53.9/37.2 & 59.1/44.3 \\ \enspace + meta adpt & 73.0/61.4 & 61.8/46.7 & 54.5/40.0 & 56.2/39.5 & 61.4/36.4 \\ \toprule XLM & 74.3/63.2 & 62.5/48.7 & 58.7/40.4 & 55.4/38.3 & 62.7/47.7 \\ \toprule \multicolumn{6}{c}{Zero-shot Cross-lingual}\\ \toprule JointPair & 54.1/39.5 & 43.2/27.5 & 41.5/22.2 & 21.5/14.7 & 40.1/26.0 \\ \enspace + ffn & 2.2/1.5 & 0.0/0.0 & 4.4/3.7 & 0.0/0.0 & 1.7/1.3 \\ \enspace + attn & 3.7/2.0 & 2.1/1.2 & 0.7/1.0 & 0.0/0.0 & 1.6/1.1 \\ \enspace + adpt & 53.4/39.1 & 44.7/27.9 & 41.2/21.8 & 20.4/13.8 & 39.9/25.7 \\ \enspace + share adpt & 54.3/39.6 & 44.8/27.8 & 42.2/22.9 & 22.7/15.6 & 41.0/26.5 \\ \enspace + meta adpt & 57.5/40.8 & 45.8/28.8 & 43.0/24.2 & 23.1/17.7 & 42.4/27.9 \\ \toprule XLM & 59.4/41.2 & 47.3/29.8 & 42.3/22.0 & 16.3/7.2 & 41.3/25.1 \\ \bottomrule \end{tabular}
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\begin{tabular}{l} \toprule \textbf{Closed Vocabulary Condition} \\ \midrule \enskip \textbf{Parallel silent / vocalized speech} \\ \quad \quad $(E_S,E_V,A_V)$ \\ \quad 26 minutes silent / 30 minutes vocalized \\ \quad Single session \\ \quad 500 utterances \\ \quad Average of 4 words per utterance \\ \quad 67 words in vocabulary \\ \bottomrule \end{tabular}
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\begin{tabular}{l} \toprule \textbf{Open Vocabulary Condition} \\ \midrule \enskip \textbf{Parallel Silent / Vocalized Speech} \\ \quad \quad $(E_S,E_V,A_V)$ \\ \quad 3.6 hours silent / 3.9 hours vocalized \\ \quad Average session has 30 min. of each mode \\ \quad 1588 utterances \\ \enskip \textbf{Non-parallel Vocalized Speech} \\ \quad \quad $(E_V,A_V)$ \\ \quad 11.2 hours \\ \quad Average session length 67 minutes \\ \quad 5477 utterances \\ \midrule \enskip \textbf{Total} \\ \quad 18.6 hours \\ \quad Average of 16 words per utterance \\ \quad 9828 words in vocabulary \\ \bottomrule \end{tabular}
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\begin{tabular}{ll} \toprule & \textbf{Location} \\ \midrule 1 & left cheek just above mouth \\ 2 & left corner of chin \\ 3 & below chin back 3 cm \\ 4 & throat 3 cm left from Adam's apple \\ 5 & mid-jaw right \\ 6 & right cheek just below mouth \\ 7 & right cheek 2 cm from nose \\ 8 & back of right cheek, 4 cm in front of ear \\ ref & below left ear \\ bias & below right ear \\ \bottomrule \end{tabular}
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\begin{tabular}{lr} \toprule \textbf{Model} & \textbf{WER} \\ \midrule Direct transfer baseline & 88.8 \\ \quad Without throat electrode & 64.6 \\ \midrule Our model & \textbf{3.6} \\ \bottomrule \end{tabular}
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\begin{tabular}{lr} \toprule \textbf{Model} & \textbf{WER} \\ \midrule Direct transfer baseline & 91.2 \\ \quad Without throat electrode & 88.0 \\ \midrule Our model & \textbf{68.0} \\ \quad Without CCA & 69.8 \\ \quad Without audio alignment & 76.5 \\ \bottomrule \end{tabular}
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\begin{tabular}{|r|c|c|c|} \hline \multicolumn{1}{|c|}{\textbf{Manipulation}} & \textbf{\#Successes} & \textbf{\#Failures} & \multicolumn{1}{l|}{\textbf{Total}} \\ \hline Push & 12 & 19 & 31 \\ \hline Pick\&place & 13 & 32 & 45 \\ \hline Pour & 25 & 42 & 67 \\ \hline Place-in-container & 23 & 33 & 56 \\ \hline Put-on-top & 9 & 21 & 30 \\ \hline \multicolumn{1}{|l|}{} & 82 & 147 & 229 \\ \hline \end{tabular}
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\begin{tabular}{lccc} \multicolumn{1}{c}{\textbf{Approach}} & \textbf{Precision} & \textbf{Recall} & \textbf{F1-Score} \\ \hline FINO-Net-RGB-D-A & 98.64 & 98.61 & 98.60 \\ -Without central dropout & 94.44 & 94.44 & 94.44 \\ -Without batchnorm & 91,93 & 91.66 & 91.72 \\ -Without batchnorm and dropout & 88.07 & 87.50 & 87.63 \\ -Single layer audio branch & 95.83 & 95.83 & 95.81 \\ \hline \end{tabular}
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\begin{tabular}{lc|lc} \hline \textbf{Approach} & \multicolumn{1}{l|}{\textbf{Run time (msec)}} & \textbf{Approach} & \multicolumn{1}{l}{\textbf{Run time (msec)}} \\ \hline FINO-Net-RGB & 9.4 & FINO-Net-A & 1 \\ FINO-Net-D & 9.3 & FINO-Net-RGB-D-A & 9.8 \\ FINO-Net-RGB-D & 9.3 & VGG-RGB-D-A & 3.4 \\ \hline \end{tabular}
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\begin{tabular}{cccccccc} \toprule Statistic &PE &PAUKL &PUKLA &REKL &PDP &$\mathrm{err}_{\mathrm{KL}}$ &$\mathrm{err}_{\ell^2}$ \\ \midrule \multicolumn{8}{c}{\textbf{NGC7027}}\\ \cmidrule{2-8} Low &$76_{(\pm 4)}$ &$78_{(\pm 4)}$ &$78_{(\pm 5)}$ &$79_{(\pm 6)}$ &$31_{(\pm 6)}$ &$89_{(\pm 3)}$ &$52_{(\pm 3)}$\\ Medium &$312_{(\pm 13)}$ &$303_{(\pm 24)}$ &$306_{(\pm 28)}$ &$303_{(\pm 29)}$ &$82_{(\pm 10)}$ &$402_{(\pm 14)}$ &$255_{(\pm 11)}$\\ High &$2229_{(\pm 121)}$ &$2311_{(\pm 223)}$ &$2308_{(\pm 245)}$ &$2329_{(\pm 358)}$ &$373_{(\pm 41)}$ &$2836_{(\pm 122)}$ &$1612_{(\pm 92)}$\\ \midrule \multicolumn{8}{c}{\textbf{Horse Head}}\\ \cmidrule{2-8} Low &$7_{(\pm 1)}$ &$7_{(\pm 1)}$ &$6_{(\pm 1)}$ &$7_{(\pm 0)}$ &$4_{(\pm 0)}$ &$5_{(\pm 0)}$ &$6_{(\pm 0)}$\\ Medium &$33_{(\pm 1)}$ &$32_{(\pm 2)}$ &$32_{(\pm 2)}$ &$32_{(\pm 2)}$ &$10_{(\pm 1)}$ &$33_{(\pm 1)}$ &$38_{(\pm 1)}$\\ High &$185_{(\pm 11)}$ &$186_{(\pm 10)}$ &$188_{(\pm 11)}$ &$186_{(\pm 13)}$ &$44_{(\pm 3)}$ &$213_{(\pm 9)}$ &$245_{(\pm 9)}$\\ \bottomrule \end{tabular}
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\begin{tabular}{cccccccc} \toprule Statistic &PE &PAUKL &PUKLA &REKL &PDP &$\mathrm{err}_{\mathrm{KL}}$ &$\mathrm{err}_{\ell^2}$ \\ \midrule \multicolumn{8}{c}{\textbf{NGC7027}}\\ \cmidrule{2-8} Low &$1606$ &$1719$ &$1537$ &$1653$ &$857$ &$1224$ &$832$\\ Medium &$4639$ &$5014$ &$6012$ &$3985$ &$\ast$ &$2063$ &$1503$\\ High &$\ast$ &$\ast$ &$\ast$ &$\ast$ &$\ast$ &$3026$ &$2869$\\ \midrule \multicolumn{8}{c}{\textbf{Horse Head}}\\ \cmidrule{2-8} Low &$1874$ &$1749$ &$1817$ &$1718$ &$689$ &$1295$ &$1457$\\ Medium &$5647$ &$5530$ &$6246$ &$5072$ &$\ast$ &$2195$ &$2476$\\ High &$\ast$ &$\ast$ &$\ast$ &$\ast$ &$\ast$ &$3056$ &$3468$\\ \bottomrule \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c||c|c|} \hline $E_\nu,~\mathrm{MeV}$ & Nuclear & Nucleon & Hadronic & Quark & Pert. & Total & $10^{40}\cdot \sigma_{\nu_\mu},\mathrm{cm^2}$ & $10^{40}\cdot \sigma^0_{\nu_\mu},\mathrm{cm^2}$ \\ \hline 50 & 4. & 0.06 & 0.56 & 0.13 & 0.08 & 4.05 & 34.64(1.36) & 32.05 \\ 30 &1.5 & 0.014 & 0.56 & 0.13 & 0.03 & 1.65 & 15.37(0.25) & 14.23 \\ 10 & 0.04 & 0.001 & 0.56 & 0.13 & 0.004 & 0.58 & 1.91(0.01)& 1.77 \\ \hline \end{tabular}
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\begin{tabular}{|c|c||c|c|c|c|c|c|} \hline $E_\nu,~\mathrm{MeV}$ & Asymmetry & Nuclear & Nucleon & Hadronic & Quark & Perturbative & Total \\ \hline 50 & 0.93 & 0.82 & 0.002 & 0.28 & 0.07 & 0.001 & 0.87 \\ 30 & 1.14 & 0.21 & $9\times 10^{-4}$ & 0.28 & 0.07 & 0.001 & 0.35 \\ 10 & 1.67 & 0.02 & $2\times 10^{-4}$ & 0.28 & 0.07 & 0.001 & 0.29 \\ \hline \end{tabular}
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\begin{tabular}{|c|c||c|c|c|c|c|c|} \hline $E_\nu,~\mathrm{MeV}$ & Asymmetry & Nuclear & Nucleon & Hadronic & Quark & Perturbative & Total \\ \hline 50 & 1.47 & 0.43 & 0.007 & 0.28 & 0.07 & 0.002 & 0.52 \\ 30 & 1.47 & 0.17 & 0.003 & 0.28 & 0.07 & 0.002 & 0.34 \\ 10 & 1.47 & 0.02 & $3\times 10^{-4}$ & 0.28 & 0.07 & 0.002 & 0.29 \\ \hline \end{tabular}
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\begin{tabular}{l|l} SOM lattice dimensions (w x h x d) & $10\times10\times1$ \\ Number of channels or layers & 1 \\ Representative image dimensions & $67 \times 67$ pixels\textsuperscript{2}, equivalent to $100\times 100$ arcsec\textsuperscript{2} \\ Neighbourhood radius start $\sigma_0$ | decrease $\sigma_d$ & 5 | 0.9 \\ Learning rate start $\alpha_0$ | decrease $\alpha_d$ & 1 | 0.7 \\ Periodic boundary conditions & True \\ Stopping condition & AQE improvement per epoch < $1\%$ \\ Resulting number of training epochs & 23 \\ Initialisation & Zeros \\ \end{tabular}
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\begin{tabular}{rllllll} \toprule \# & Outlier score & RA [deg] & DEC [deg] & Field name & Rep. image & 2MASX or SDSS galaxy cluster \\ \midrule 1 & 32.02 & 193.894 & 27.172 & P192+27 & (1,1) & \\ 2 & 27.69 & 15.003 & 30.041 & P015+31 & (1,1) & \\ 3 & 27.66 & 193.873 & 27.224 & P192+27 & (1,1) & \\ 4 & 27.57 & 239.386 & 54.739 & P241+55 & (1,1) & \\ 5 & 27.46 & 339.267 & 34.415 & P337+36 & (1,1) & 2MASX 22370410+3424573 \\ 6 & 27.46 & 16.921 & 32.226 & P018+31 & (1,1) & \\ 7 & 27.40 & 214.642 & 37.802 & P213+37 & (1,1) & WHL J141837.7+374625 \\ 8 & 26.34 & 157.948 & 57.038 & P160+57 & (1,1) & WHL J103201.9+570318 \\ 9 & 26.20 & 142.027 & 30.017 & P141+29 & (1,1) & \\ 10 & 26.14 & 151.258 & 35.034 & P151+35 & (1,1) & \\ \bottomrule \end{tabular}
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\begin{tabular}{lll} \toprule Notations & Description & Value \\ \midrule $m$ & total mass & 1.03 $kg$ \\ $\mathcal{I}_{in}$ & inner body moment of inertia & 0.5 $kg\:m^2$\\ $\mathcal{I}_{out}$ & outer body moment of inertia & 0.174 $kg\:m^2$ \\ $r$ & radius & 0.08 $m$\\ $L$ & length of the flap & 0.09 $m$\\ $d_f$ & submersible depth of the flap & 0.044 $m$\\ $d_b$ & submersible depth of the body & 0.02 $m$\\ $\beta$ & angular location of the flap & $30^o$ \\ $\psi$ & maximum open angle of the flap & $20^o$ \\ $C_f$ & drag coefficient of the flap & 2 \\ $C_b$ & drag coefficient of the body & 2 \\ $\rho$ & water density & 1027 $kg \:m^3$ \\ \bottomrule \end{tabular}
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\begin{tabular}{c|cc} Isotope & Nuclear Spin & Abundance \\\hline $^{46}$Ti & 0 & 8.25\%\\ $^{47}$Ti & 5/2 & 7.44\%\\ $^{48}$Ti & 0 & 73.72\%\\ $^{49}$Ti & 7/2 & 5.41\%\\ $^{50}$Ti & 0 & 5.18\%\\\hline \end{tabular}
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\begin{tabular}{cc|cc|cc} Lower & Upper & $^{46}$Ti Shift (MHz) & $^{50}$Ti Shift (MHz) & $k_\mathrm{SMS}$ (GHz a.m.u.) & $F$ (MHz/fm$^2$)\\\hline a$^5$F$_1$ & y$^5$G$^\circ_2$ & -682.69(31) & 642.14(38) & 401.36(18)(230) & -206.38(14) \\ a$^5$F$_2$ & y$^5$G$^\circ_2$ & -674.0 (22) & 657.3 (14) & 350.3(12)(63) & -559.6(21) \\ a$^5$F$_2$ & y$^5$G$^\circ_3$ & -691.3 (23) & 651.96(50) & 407.5(14)(22) & -234.74(80) \\ a$^5$F$_3$ & y$^5$G$^\circ_3$ & -690.09(47) & 660.29(28) & 389.29(27)(416) & -379.33(30) \\ a$^5$F$_3$ & y$^5$G$^\circ_4$ & -703.2 (12) & 660.15(62) & 425.72(72)(202) & -192.46(37) \\ a$^5$F$_4$ & y$^5$G$^\circ_4$ & -701.9 (52) & 670.6 (11) & 403.2(30)(39) & -372.6(28) \\ a$^5$F$_4$ & y$^5$G$^\circ_5$ & -706.74(88) & 669.36(39) & 417.15(52)(354) & -283.83(39) \\ a$^5$F$_5$ & y$^5$G$^\circ_5$ & -714.02(56) & 682.91(56) & 414.37(33)(225) & -388.33(44) \\ a$^5$F$_5$ & y$^5$G$^\circ_6$ & -716.19(39) & 671.6 (21) & 438.77(25)(202) & -185.89(58) \\\hline \end{tabular}
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\begin{tabular}{cc|ccc|ccc} Lower & Upper & $^{46}$Ti d$\nu^\mathrm{NMS}$ & $^{46}$Ti d$\nu^\mathrm{SMS}$ & $^{46}$Ti d$\nu^\mathrm{FS}$ & $^{50}$Ti d$\nu^\mathrm{NMS}$ & $^{50}$Ti d$\nu^\mathrm{SMS}$ & $^{50}$Ti d$\nu^\mathrm{FS}$ \\\hline a$^5$F$_1$ & y$^5$G$^\circ_2$ & -297.0 & -363.5(21) & -22.3(21) & 273.3 & 334.7(30) & 34.1(30)\\ a$^5$F$_2$ & y$^5$G$^\circ_2$ & -296.4 & -317.3(58) & -60.4(58) & 272.7 & 292.1(85) & 92.3(85)\\ a$^5$F$_2$ & y$^5$G$^\circ_3$ & -297.4 & -369.1(23) & -25.4(23) & 273.6 & 339.8(34) & 38.7(34)\\ a$^5$F$_3$ & y$^5$G$^\circ_3$ & -296.5 & -352.7(38) & -41.0(38) & 272.8 & 324.8(55) & 62.6(55)\\ a$^5$F$_3$ & y$^5$G$^\circ_4$ & -297.9 & -385.5(19) & -20.8(19) & 274.1 & 355.0(28) & 31.8(28)\\ a$^5$F$_4$ & y$^5$G$^\circ_4$ & -296.7 & -365.1(44) & -40.1(44) & 272.9 & 336.2(65) & 61.3(65)\\ a$^5$F$_4$ & y$^5$G$^\circ_5$ & -298.4 & -377.8(32) & -30.6(32) & 274.5 & 347.8(47) & 46.8(47)\\ a$^5$F$_5$ & y$^5$G$^\circ_5$ & -296.9 & -375.2(21) & -41.9(21) & 273.1 & 345.5(30) & 64.1(30)\\ a$^5$F$_5$ & y$^5$G$^\circ_6$ & -299.0 & -397.4(18) & -20.0(18) & 275.0 & 365.9(27) & 30.5(27)\\\hline \end{tabular}
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\begin{tabular}{l|cc|cc} Level & Level Shift, $^{46}$Ti & Level Shift, $^{50}$Ti & Literature Level Shift, $^{46}$Ti & Literature Level Shift, $^{50}$Ti\\\hline a$^5$F$_1$ & 9.9(32) & -6.8(16) & -0.5(38) & 1.5(38) \\ a$^5$F$_2$ & 1.3(23) & -8.33(57) & 1.5(32) & -0.5(33)\\ a$^5$F$_3$ & 0. & 0.& 0. & 0. \\ a$^5$F$_4$ & -1.4(49) & -10.5(12) & 4(14) & 8(12)\\ a$^5$F$_5$ & 5.9(55) & -24.0(14) & 7(12) & -1(13)\\\hline y$^5$G$^\circ_2$ & -672.7(32) & 649.0(15) & & \\ y$^5$G$^\circ_3$ & -690.09(47) & 660.29(28) & & \\ y$^5$G$^\circ_4$ & -703.2(12) & 660.15(62) & & \\ y$^5$G$^\circ_5$ & -708.1(54) & 658.9(13) & & \\ y$^5$G$^\circ_6$ & -710.3(55) & 647.6(25)\\\hline \end{tabular}
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\begin{tabular}{ccc|cc|cc} \hline \multicolumn{7}{c}{$k^*(N_{k^*})$} \\ \hline & \multicolumn{2}{c}{($r_0=0.9$)} & \multicolumn{2}{|c|}{($r_0=0.5$)} & \multicolumn{2}{c}{($r_0=0.1$)} \\ $\delta (\%)$ & rrLM & LM & rrLM & LM & rrLM & LM \\ \hline\hline $0.8$ & 5(6) & 3(3) & 4(5) & 3(3) & 5(8) & 3(3) \\ $0.4$ & 8(8) & 8(8) & 6(6) & 4(4) & 8(12) & 4(4) \\ $0.2$ & 9(9) & 18(18) & 7(7) & 7(7) & 8(11) & Fails \\ $0.1$ & 11(11)& 35(35) & 10(10)& 10(10) & 11(14)& Fails \\ \hline \end{tabular}
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\begin{tabular}{ccc|cc|cc} \hline \multicolumn{7}{c}{$E_{k^*}$} \\ \hline & \multicolumn{2}{c}{($r_0=0.9$)} & \multicolumn{2}{|c|}{($r_0=0.5$)} & \multicolumn{2}{c}{($r_0=0.1$)} \\ $\delta (\%)$ & rrLM & LM & rrLM & LM & rrLM & LM \\ \hline\hline $0.8$ & 82.6 & 82.7 & 82.8 & 81.5 & 82.8 & 80.9 \\ $0.4$ & 79.7 & 79.7 & 79.5 & 79.7 & 79.6 & 79.5 \\ $0.2$ & 76.5 & 76.5 & 76.3 & 76.6 & 76.4 & Fails \\ $0.1$ & 71.5 & 72.9 & 71.6 & 71.7 & 72.1 & Fails \\ \hline \end{tabular}
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\begin{tabular}{|r|c|c|c|c|c|} \hline \textbf{Migration} &\textbf{Standard P\'olya} & \textbf{Complete RP} & \textbf{Only Fashion RP} & \textbf{No Fashion RP} &\textbf{Theoretical value} \\ \hline Entire & 199.96\% & {\bf 205.30\%} & 205.25\% & 199.83\% & 199.98\% \\ Only BOTs & 192.55\% & 197.62\% & {\bf 197.74\%} & 192.28\% & 192.77\% \\ \hline \end{tabular}
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\begin{tabular}{|r|c|c|c|c|c|} \hline \textbf{10 days of traffic} &\textbf{Standard P\'olya} & \textbf{Complete RP} & \textbf{Only Fashion RP} & \textbf{No Fashion RP} &\textbf{Theoretical value} \\ \hline Entire & 159.29\% & 159.43\% & {\bf 159.43\%} & 159.29\% & 159.29\% \\ Only BOTs & 157.99\% & {\bf 158.12\%} & 158.04\% & 157.99\% & 158.00\% \\ \hline \end{tabular}
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\begin{tabular}{|r|c|c|c|c|c|} \hline \textbf{Covid} &\textbf{Standard P\'olya} & \textbf{Complete RP} & \textbf{Only Fashion RP} & \textbf{No Fashion RP} &\textbf{Theoretical value} \\ \hline Entire & 198.41\% & {\bf 201.57\%} & 201.56\% & 198.40\% & 198.46\% \\ Only BOTs & 186.10\% & 188.91\% & {\bf 188.94\%} & 186.09\% & 186.35\% \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.44 \times 10^{-1}$ & $\mathbf{2.43 \times 10^{-1}}$ & $2.50 \times 10^{-1}$ \\ k = 3 & $\mathbf{3.44 \times 10^{-9}}$ & $1.41 \times 10^{-6}$ & $3.03 \times 10^{-4}$ \\ k = 5 & $\mathbf{1.19 \times 10^{-8}}$ & $3.23 \times 10^{-6}$ & $3.43 \times 10^{-4}$ \\ k = 10 & $\mathbf{2.64 \times 10^{-7}}$ & $1.74 \times 10^{-5}$ & $1.64 \times 10^{-3}$ \\ k = 20 & $\mathbf{1.04 \times 10^{-6}}$ & $2.98 \times 10^{-5}$ & $2.73 \times 10^{-3}$ \\ k = 30 & $\mathbf{2.79 \times 10^{-6}}$ & $4.03 \times 10^{-5}$ & $3.83 \times 10^{-3}$ \\ k = 50 & $\mathbf{7.18 \times 10^{-6}}$ & $5.41 \times 10^{-5}$ & $4.85 \times 10^{-3}$ \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.43 \times 10^{-1}$ & $\mathbf{2.41 \times 10^{-1}}$ & $2.50 \times 10^{-1}$ \\ k = 3 & $\mathbf{2.62 \times 10^{-6}}$ & $3.56 \times 10^{-5}$ & $7.66 \times 10^{-4}$ \\ k = 5 & $4.19 \times 10^{-4}$ & $\mathbf{1.90 \times 10^{-4}}$ & $1.10 \times 10^{-3}$ \\ k = 10 & $\mathbf{1.03 \times 10^{-4}}$ & $3.50 \times 10^{-4}$ & $3.36 \times 10^{-3}$ \\ k = 20 & $\mathbf{5.36 \times 10^{-4}}$ & $8.19 \times 10^{-4}$ & $6.58 \times 10^{-3}$ \\ k = 30 & $\mathbf{9.09 \times 10^{-4}}$ & $1.22 \times 10^{-3}$ & $9.13 \times 10^{-3}$ \\ k = 50 & $2.53 \times 10^{-3}$ & $\mathbf{2.36 \times 10^{-3}}$ & $1.34 \times 10^{-2}$ \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.32 \times 10^{-1}$ & $2.32 \times 10^{-1}$ & $2.33 \times 10^{-1}$ \\ k = 3 & $\mathbf{3.15 \times 10^{-9}}$ & $2.61 \times 10^{-7}$ & $1.22 \times 10^{-5}$ \\ k = 5 & $\mathbf{3.86 \times 10^{-9}}$ & $8.09 \times 10^{-7}$ & $3.34 \times 10^{-5}$ \\ k = 10 & $\mathbf{1.94 \times 10^{-8}}$ & $2.02 \times 10^{-6}$ & $6.88 \times 10^{-5}$ \\ k = 20 & $\mathbf{7.81 \times 10^{-8}}$ & $2.65 \times 10^{-6}$ & $8.80 \times 10^{-5}$ \\ k = 30 & $\mathbf{1.74 \times 10^{-7}}$ & $2.86 \times 10^{-6}$ & $9.65 \times 10^{-5}$ \\ k = 50 & $\mathbf{1.08 \times 10^{-6}}$ & $5.15 \times 10^{-6}$ & $1.53 \times 10^{-4}$ \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.31 \times 10^{-1}$ & $2.31 \times 10^{-1}$ & $2.31 \times 10^{-1}$ \\ k = 3 & $\mathbf{4.10 \times 10^{-7}}$ & $6.67 \times 10^{-7}$ & $5.73 \times 10^{-6}$ \\ k = 5 & $\mathbf{7.95 \times 10^{-7}}$ & $2.02 \times 10^{-5}$ & $5.97 \times 10^{-5}$ \\ k = 10 & $\mathbf{6.81 \times 10^{-6}}$ & $2.35 \times 10^{-5}$ & $7.19 \times 10^{-5}$ \\ k = 20 & $\mathbf{1.59 \times 10^{-5}}$ & $5.43 \times 10^{-5}$ & $1.52 \times 10^{-4}$ \\ k = 30 & $\mathbf{2.59 \times 10^{-5}}$ & $5.98 \times 10^{-5}$ & $1.75 \times 10^{-4}$ \\ k = 50 & $\mathbf{9.80 \times 10^{-5}}$ & $1.23 \times 10^{-4}$ & $3.49 \times 10^{-4}$ \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.46 \times 10^{-1}$ & $2.46 \times 10^{-1}$ & $2.50 \times 10^{-1}$ \\ k = 3 & $\mathbf{3.98 \times 10^{-8}}$ & $7.37 \times 10^{-6}$ & $2.58 \times 10^{-3}$ \\ k = 5 & $\mathbf{5.51 \times 10^{-8}}$ & $7.53 \times 10^{-6}$ & $2.64 \times 10^{-3}$ \\ k = 10 & $\mathbf{1.54 \times 10^{-7}}$ & $8.63 \times 10^{-6}$ & $2.92 \times 10^{-3}$ \\ k = 20 & $\mathbf{7.93 \times 10^{-7}}$ & $9.37 \times 10^{-6}$ & $3.10 \times 10^{-3}$ \\ k = 30 & $\mathbf{1.06 \times 10^{-6}}$ & $9.80 \times 10^{-6}$ & $3.24 \times 10^{-3}$ \\ k = 50 & $\mathbf{2.06 \times 10^{-6}}$ & $1.10 \times 10^{-5}$ & $3.46 \times 10^{-3}$ \\ \hline \end{tabular}
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\begin{tabular}{lrrr} \hline smooth & Only Fashion RP & Complete RP & Standard P\'olya \\ \hline no smooth & $2.45 \times 10^{-1}$ & $2.45 \times 10^{-1}$ & $2.49 \times 10^{-1}$ \\ k = 3 & $\mathbf{3.23 \times 10^{-6}}$ & $5.33 \times 10^{-5}$ & $3.38 \times 10^{-3}$ \\ k = 5 & $\mathbf{1.16 \times 10^{-5}}$ & $5.16 \times 10^{-5}$ & $3.38 \times 10^{-3}$ \\ k = 10 & $\mathbf{2.84 \times 10^{-5}}$ & $6.88 \times 10^{-5}$ & $3.53 \times 10^{-3}$ \\ k = 20 & $\mathbf{5.70 \times 10^{-5}}$ & $9.78 \times 10^{-5}$ & $3.80 \times 10^{-3}$ \\ k = 30 & $\mathbf{1.67 \times 10^{-4}}$ & $1.81 \times 10^{-4}$ & $4.01 \times 10^{-3}$ \\ k = 50 & $3.05 \times 10^{-4}$ & $\mathbf{2.94 \times 10^{-4}}$ & $4.38 \times 10^{-3}$ \\ \hline \end{tabular}
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\begin{tabular}{cccc} \toprule Catalog & Filters & Area & Depth {[}AB{]} \\ \midrule MUSYC BVR & $UBVRIz$ & 30'$\times$30' & 25-26 \\ LBT/LBC & $riz$ & 23'$\times$25' & 27.5, 25.5, 25.2 \\ CFHT/WIRCam & $YJ$ & 24'$\times$24' & 23.8, 23.75 \\ MUSYC K wide & $UBVRIzK$ & 30'$\times$30' & 21 \\ MUSYC K deep & $UBVRIzJHK$ & 10'$\times$10' & 23 \\ \textit{Spitzer}/IRAC & ch1 ch2 & 35'$\times$35' & 22-23 \\ \bottomrule \end{tabular}
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\begin{tabular}{|c|l|} \hline Data & Static Feature \\ \hline Bytes & $\bullet$ Extract $n$-grams from byte sequences \\ & $\bullet$ Convert bytes to black and white pixels \\ & $\bullet$ Use byte sequence or hex-dump as input \\ \hline Opcodes & $\bullet$ Opcode frequency vector \\ & $\bullet$ Extract $n$-grams from disassembly \\ & $\bullet$ Build Markov chain from opcode sequences \\ & $\bullet$ Generate control flow graph \\ \hline API Calls & $\bullet$ Indicator vector based on data mining \\ & $\bullet$ Frequency of API call based on data mining \\ \hline System Calls & $\bullet$ Indicator vector based on disassembly \\ & $\bullet$ Frequency of system call \\ \hline Environment & $\bullet$ Hard-coded network addresses \\ \hline \end{tabular}
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\begin{tabular}{|c|l|} \hline Data & Dynamic Feature \\ \hline Opcodes & $\bullet$ $N$-grams extracted from program trace \\ \hline API Calls & $\bullet$ $N$-grams extracted from program trace \\ & $\bullet$ Frequency of API call during execution \\ \hline System Calls & $\bullet$ $N$-grams based on program trace \\ & $\bullet$ Frequency of system call during execution \\ & $\bullet$ Taint analysis of system information \\ & $\bullet$ Behavioral profiles using system interaction \\\hline Environment & $\bullet$ Data transfers \\ & $\bullet$ Network traffic and communication \\ & $\bullet$ File and registry edits, creation, and deletion \\ & $\bullet$ New processes spawned during execution \\ \hline \end{tabular}
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\begin{tabular}{|c||c|c||c|c|}\hline \multirow{2}{*}{\textbf{Signature}} & \multicolumn{2}{c||}{\textbf{Liquid Argon ArgonCube}} & \multicolumn{2}{c|}{\textbf{Gaseous Argon MPD}} \\ \cline{2-5} & \textbf{Signal} & \textbf{Background} & \textbf{Signal} & \textbf{Background} \\ \hline \multirow{4}{*}{$a \to \gamma \gamma$} & Invariant Mass & NC$\pi^0$ & Invariant Mass & NC$\pi^0$ \\ & $\gamma\gamma$ Direction & Nearly-Isotropic & $\gamma\gamma$ Direction & Nearly-Isotropic \\ & High-Energy & Low-Energy & High-Energy & Low-Energy \\ & & & & Low-energy recoils \\ \hline \multirow{5}{*}{$a \to$ hadrons} & Invariant Mass & CC$1\mu2\pi$ & Invariant Mass & CC$1\mu2\pi$ \\ & Opening angle & DIS & Opening angle & DIS \\ & High-energy & Low-energy & High-Energy & Low-Energy \\ & $gg$ Direction & Nearly-Isotropic & $gg$ Direction & Nearly-isotropic \\ & & & & Low-energy recoils \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|} \hline Survey & Redshift range & $f_{\rm{sky}}$ & $t_{\rm{tot}} [\rm{hrs}]$ & $N_{d}$\\ \hline \hline SKA1-MID Band 1 & 0.35-3.05 & 0.48 & 10000 & 197 \\ \hline H$\alpha$ emission line & 0.7 - 2.0 & 0.35 & - & - \\ \hline \end{tabular}
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\begin{tabular}{|l|l|} \hline Layer Type & Parameters \\\hline Input & $C_{in} \times H \times W$ \\\hline Conv2D & $C_{out} / 4, 3 \times 3$ \\\hline Conv2D & $C_{out} / 4, 3 \times 3$ \\\hline Conv2D & $C_{out} / 4, 3 \times 3$ \\\hline Conv2D & $C_{out} , 3 \times 3$ \\\hline \end{tabular}
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\begin{tabular}{|l|l|} \hline Layer Type & Parameters \\\hline Input & C $\times$ H $\times$ W \\\hline Basic Block & 15, 3 $\times$ 3 \\\hline Max Pool & 2 $\times$ 2 \\\hline Basic Block & 50, 3 $\times$ 3 \\\hline Max Pool & 2 $\times$ 2 \\\hline Basic Block & 200, 3 $\times$ 3 \\\hline Basic Block & 400, 3 $\times$ 3 \\\hline Max Pool & 2 $\times$ 2 \\\hline \end{tabular}
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\begin{tabular}{|l|l|} \hline Layer Type & Parameters \\\hline Conv2D & $400, 3 \times 3 $ \\\hline ReLu & \\\hline Max Pool & $3 \times 3$ \\\hline Linear & $400*16*7 \times 400 $ \\\hline Tanh & \\\hline Linear & $400 \times 6*6*3 $ \\\hline Tanh & \\\hline \end{tabular}
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\begin{tabular}{|l|l|} \hline Layer Type & Parameters \\\hline Input & C $\times$ H $\times$ W \\\hline Basic Block & 64, 3 $\times$ 3 \\\hline Max Pool & 3 $\times$ 3 \\\hline Basic Block & 128, 3 $\times$ 3 \\\hline Max Pool & 3 $\times$ 3 \\\hline Basic Block & 256, 3 $\times$ 3 \\\hline Max Pool & 3 $\times$ 3 \\\hline Basic Block & LENVOC, 3 $\times$ 3 \\\hline \end{tabular}
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\begin{tabular}{lccccc} \toprule program & Graph & Edge & Nodes & \#Nodes & Nodes\\ \midrule abs & 1 & 1 & 1 & 4 & 4 \\ swap & 1 & 1 & 1 & 3 & 3 \\ max & 0 & 1 & 0 & 4 & 3 \\ sum & 0 & 0 & 1 & 6 & 6 \\ max3 & 1 & 1 & 1 & 6 & 6 \\ log & 1 & 1 & 1 & 4 & 4 \\ radius & 1 & 1 & 1 & 3 & 3 \\ poly & 1 & 1 & 1 & 6 & 6 \\ factorial & 1 & 1 & 1 & 6 & 6 \\ quadrant & 0 & 0 & 1 & 5 & 5 \\ cntpos & 0 & 0 & 0 & 6 & 3 \\\bottomrule sum & 7 & 8 & 9 & 53 & 49 \\ percentage & 63.6& 72.7 & 81.8 & - & 92.5\\ \bottomrule \end{tabular}
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\begin{tabular}{|c|c|} \hline Transversity Amplitudes & Couplings \\ \hline ${\cal A}^{VA}_{\perp_t}$, ${\cal A}_{\perp_1}$, ${\cal A}_{\perp_0}$ & $g_V$ \\ ${\cal A}^{VA}_{\parallel_t}$, ${\cal A}_{\parallel_1}$, ${\cal A}_{\parallel_0}$ & $g_A$ \\ ${\cal A}^{SP}_{\perp_t}$ & $g_S$ \\ ${\cal A}^{SP}_{\parallel_t}$ & $g_P$ \\ ${\cal A}_{\perp_t}$ & $g_V$, $g_S$ \\ ${\cal A}_{\parallel_t}$ & $g_A$, $g_P$ \\ ${\cal A}^T_{\perp_1}$, ${\cal A}^T_{\parallel_1}$, ${\cal A}^T_{\perp_0}$, ${\cal A}^T_{\parallel_0}$ & $g_T$ \\ \hline \end{tabular}
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\begin{tabular}{|c|c|} \hline Transversity Amplitudes & ${\cal N}^S$ \\ \hline $|{\cal A}_{\perp_t}|^2$ & $S_t$ \\ \hline $|{\cal A}_{\parallel_t}|^2$ & $S_t$ \\ \hline $|{\cal A}_{\perp_1}|^2$ & $S_1 + \alpha_{\Lambda_c} S_2 \cos\theta_{\Lambda} \cos\theta_\pi + S_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}_{\parallel_1}|^2$ & $S_1 + \alpha_{\Lambda_c} S_2 \cos\theta_{\Lambda} \cos\theta_\pi + S_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}_{\perp_0}|^2$ & $(S_1 - S_3) - 2 S_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}_{\parallel_0}|^2$ & $(S_1 - S_3) - 2 S_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}^T_{\perp_1}|^2$ & $S^T_1 + \alpha_{\Lambda_c} S^T_2 \cos\theta_{\Lambda} \cos\theta_\pi + S^T_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}^T_{\parallel_1}|^2$ & $S^T_1 + \alpha_{\Lambda_c} S^T_2 \cos\theta_{\Lambda} \cos\theta_\pi + S^T_3 \cos2\theta_\pi$ \\ \hline $|{\cal A}^T_{\perp_0}|^2$ & $(S_1^T - S_3^T) - 2 S_3^T \cos2\theta_\pi$ \\ \hline $|{\cal A}^T_{\parallel_0}|^2$ & $(S_1^T - S_3^T) - 2 S_3^T \cos2\theta_\pi$ \\ \hline \end{tabular}
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\begin{tabular}{cc|cc|cc|cc} Time-span & Spectroscopy & Solved & $N_{\rm aliases,f}$ & Solved & $N_{\rm aliases,f}$ & Solved & $N_{\rm aliases,f}$ \\ (days) & instrument & (phot) & (phot) & (spec) & (spec) & (specphot) & (specphot) \\ \hline 30 & CORALIE & 86 & 19.2 & 9 & 33.7 & 104 & 18.4 \\ 30 & HARPS & 90 & 18.5 & 41 & 31.9 & 129 & 16.6 \\ 40 & CORALIE & 118 & 16.8 & 21 & 29.4 & 156 & 15.8 \\ 40 & HARPS & 131 & 16.7 & 94 & 23.4 & 220 & 14.1 \\ \bf{50} & \bf{CORALIE} & \bf{149} & \bf{14.2} & \bf{50} & \bf{25.7} & \bf{207} & \bf{11.6} \\ 50 & HARPS & 150 & 13.7 & 191 & 17.9 & 298 & 8.8 \\ 60 & CORALIE & 170 & 11.9 & 57 & 22.5 & 242 & 9.6 \\ 60 & HARPS & 180 & 12.8 & 232 & 17.4 & 323 & 7.9 \\ 70 & CORALIE & 187 & 10.8 & 82 & 24.9 & 254 & 10.2 \\ 70 & HARPS & 198 & 10.9 & 243 & 17.5 & 340 & 7.5 \\ \end{tabular}
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\begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline { \bfseries Class} & Airplane & Car & Motorbike & Flower & Fruit & Person & Cat & Dog \\ \hline { \bfseries Count} & 727 & 968 & 788 & 843 & 1000 & 986 & 885 & 702 \\ \hline \end{tabular}
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\begin{tabular}{|l|l|l|l|l|l|} \hline Model 1 & Model 2 & Pretraining& Pretraining& Retraining & Hybrid\\ && Datatset & Dataset & & Learning \\ && (Model 1) & (Model 2) & Dataset & Accuracy \\ \hline Inception V3 & SqueezeNet & -- & -- & CIFAR-100 & 52.18\% \\ Inception V3 & SqueezeNet & -- & -- & MNIST & 97.21\% \\ Inception V3 & SqueezeNet & -- & -- & Natural Images & 89.57\% \\ Inception V3 & Custom & -- & MNIST & CIFAR-100 & 45.62\% \\ Custom & SqueezeNet & Natural Images & -- & CIFAR-100 & 43.28\% \\ Custom & SqueezeNet & MNIST & -- & Natural Images & 60.82\% \\ Custom & Inception V3 & CIFAR-100 & -- & Natural Images & 73.23\% \\ Custom 1 & Custom 2 & MNIST & CIFAR-100 & Natural Images & 62.23\% \\ Custom 1 & Custom 2 & CIFAR-100 & CIFAR-100 & Natural Images & 68.48\% \\ \hline \end{tabular}
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\begin{tabular}{|l|l|l|l|l|l|} \hline Pretraining & Pretraining & Retraining & TL Accuracy & TL Accuracy & Hybrid \\ Dataset & Dataset & Dataset & (Model 1) &(Model 2) & Learning \\ (Model 1)& (Model 2)& & & & Accuracy \\ \hline MNIST & CIFAR-100 & Natural Images & 52.86\% & 55.15\% & 62.23\% \\ Natural Images & MNIST & CIFAR-100 & 35.58\% & 34.29\% & 38.17\% \\ CIFAR-100 & CIFAR-100 & Natural Images & 42.15\% & 38.46\% & 68.48\% \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \hline object & $Q_{e}$ & $P_{m}$ & nature \\ \hline neutrinos & no & no & real \\ \hline ordinary (electrically) charged particles & yes & no & real \\ \hline magnetic monopoles & no & yes & hypothetical \\ \hline dyons & yes & yes & hypothetical \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|} \hline {\bf S. No.}&{\bf NQCP} & {\bf CQCP}\\ [0.5ex] \hline\hline 1 & All the observables are & All the observables are\\ & publicly announced. & publicly announced.\\ \hline 2 & $|\psi\rangle:$ $N$--qudit nonlocal state & $|\Psi\rangle:$ a single $d^N$-dimensional\\ & simultaneously shared among $N$ & reference state. \\ & parties {\it viz.}, Bob$_1,\cdots,\rm{Bob}_N$.&\\ \hline \multirow{23}{0.45em}{3} & \multirow{24}{8em}{ Bob$_k$ randomly measures one of the observables from the set $\{A_k, B_k, B'_k, \cdots\}$. } &{\bf a)}~Bob$_1$ randomly prepares a state \\ & & $|\Psi'\rangle= \mathbb{U}_1{\mathbb{\Pi}}_{\mathbb{M}}^{{m}}|\Psi\rangle$, with a probability $\frac{1}{t}\langle \Psi|{\mathbb\Pi}_{\mathbb{M}}^m|\Psi \rangle $, \\ & & where $\mathbb{M}$ is one of the observables from the set, \\ & & $ \{\mathbb{A}_1, \mathbb{B}_1, \mathbb{B}'_1,\cdots\}$, whose cardinality is $t$. The \\ & & symbol $\mathbb{U}_1=e^{i(\alpha_1\mathbb{A}_1+\beta_1\mathbb{B}_1+\cdots)}$ represents an \\ & & arbitrary unitary transformation, which commutes \\ & & with observables of subsequent Bobs.\\ \cline{3-3} & & {\bf b)}~~ The state $|\Psi'\rangle$ is sent to\\ & & Bob$_2$ who randomly measures one \\ & & of the observables $\{\mathbb{A}_2, \mathbb{B}_2, \mathbb{B}'_2,\cdots\}$. \\ \cline{3-3} & & {\bf c)} ~~He performs an arbitrary transformation\\ & & $\mathbb{U}_{12}$ (which commutes with the observables\\ & & of subsequent Bobs) on the post-measurement \\ & & state and sends the transformed state to Bob$_3$.\\ \cline{3-3} & & {\bf d)} This process continues until Bob$_N$\\ & & randomly measures one of the\\ & &observables $\{\mathbb{A}_N, \mathbb{B}_N, \mathbb{B}'_N,\cdots\}$.\\ \hline 4 &This process is repeated& This process is repeated\\ & for many rounds.&for many rounds.\\ \hline 5 &The violation of nonlocality & The violation of contextuality\\ & inequality $\langle{O}\rangle \leq c \implies$ & inequality $\langle\mathbb{ O}\rangle \leq c \implies$ \\ & No eavesdropping (and vice versa). & No eavesdropping (and vice versa).\\ \hline 6 & If the inequality is violated,& If the inequality is violated,\\ & the outcomes of $A_1,\cdots,A_N$ & the outcomes of $\mathbb{A}_1,\cdots,\mathbb{A}_N$ \\ & act as a shared key. & act as a shared key.\\ [1ex] \hline \end{tabular}
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\begin{tabular}{c|c|c} \toprule \multicolumn{2}{c|}{\textbf{Task}} & \textbf{BERT model} \\ \midrule \multirow{5}{*}{IWSLT} & De-En & \texttt{bert-base-german-uncased} \\ \cline{2-3} & En-De & \multirow{4}{*}{\texttt{bert-base-uncased}} \\ & En-Es \\ & En-Fr \\ & En-Zh \\ \hline \multirow{2}{*}{WMT} & De-En & \texttt{bert-base-german-uncased} \\ \cline{2-3} & En-De & \texttt{bert-large-uncased}\\ \bottomrule \end{tabular}
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\begin{tabular}{lcccc} \toprule & $H=128$ & $H=256$ & $H=512$ & $H=768$ \\ \midrule $L=2$ & 28.63 & 29.18 & 29.63 & 29.67 \\ $L=4$ & 28.77 & 29.36 & 30.12 & 30.46 \\ $L=6$ & 28.90 & 29.58 & 30.30 & 30.73 \\ $L=8$ & 28.99 & 29.92 & 30.63 & 30.75 \\ $L=10$ & 29.13 & 30.04 & 30.73 & 30.92 \\ $L=12$ & 29.25 & 30.29 & 30.84 & 31.20 \\ \bottomrule \end{tabular}
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\begin{tabular}{c|cc} \hline \hline & Case I & Case II\\ \hline $g_1$~(MeV$^2$)&$(41.7\pm 3.1)\times 10^6$&$(41.7\pm 3.1)\times 10^6$ \\ $\phi_1$~(rad) &$4.1\pm 0.1$ &$4.0\pm 0.1$ \\ $M_1$~(MeV) &$6753.8\pm 60.7$ &$6748.7\pm 85.5$ \\ $g_{11}$~(MeV) &$402.8\pm 33.7$ &$414.6\pm 34.1$ \\ $g_2$~(MeV$^2$)&$(74.3\pm 8.9)\times 10^6$&$(72.2\pm 8.4)\times 10^6$ \\ $g_3$~(MeV$^2$)&$(8.0\pm 0.6)\times 10^6$ &$(7.9\pm 0.6)\times 10^6$ \\ \hline \hline \end{tabular}
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\begin{tabular}{c|cc} \hline \hline & Sol.~I & Sol.~II \\ \hline $\chi^2/d.o.f.$ & 98.2/87 & 103.3/87\\ $g_1$~(MeV$^2$) &$(19.9\pm 4.2)\times 10^{6}$ & $(41.8\pm 5.4)\times 10^6$\\ $\phi_1$~(rad) &$3.4\pm 0.1$& $3.3\pm 0.1$ \\ $M_1$~(MeV) &$6599.5\pm 24.4$& $6670.7\pm 33.9$\\ $g_{11}$~(MeV) &$462.4\pm 91.2$& $752.9\pm 91.7$\\ $g_2$~(MeV$^2$) &$(50.0\pm 5.5)\times 10^6$&$(25.0\pm 1.3)\times 10^6$\\ $\phi_2$~(rad) &$2.0\pm 0.5$ &$1.1\pm0.2$ \\ $M_2$~(MeV) &$6896.1\pm 27.4$&$6800.0\pm 28.7$ \\ $g_{21}$~(MeV) &$215.8\pm 48.2$&$1000.0\pm 41.0$ \\ $g_{22}$~(MeV) &$250.0\pm 117.9$& $2550.0\pm 587.5$\\ $g_3$~(MeV$^2$) &$(7.6\pm 1.6)\times 10^6$&$(7.4\pm 2.9)\times 10^6$ \\ $M_3$~(MeV) &$7199.0 \pm 102.9$& $7115.3\pm 263.8$\\ $g_{31}$~(MeV) &$400.0\pm 106.3$ & $400.0\pm 127.5$\\ $g_{32}$~(MeV) &$1463.7\pm 257.6$ & $3424.8\pm 351.1$\\ \hline \hline \end{tabular}
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\begin{tabular}{c|c} \hline \hline $\chi^2/d.o.f.$ & 97.23/87 \\ $g_1$~(MeV$^2$) &$(29.5\pm 2.8)\times 10^{6}$\\ $\phi_1$~(rad) &$4.4\pm 0.2$\\ $M_1$~(MeV) &$6742.8\pm 17.9$\\ $g_{11}$~(MeV) &$1000.0\pm 80.8$\\ $g_2$~(MeV$^2$) &$(20.0\pm 2.5)\times 10^6$\\ $\phi_2$~(rad) &$2.3\pm 0.5$\\ $M_2$~(MeV) &$6900.8\pm 25.9$\\ $g_{21}$~(MeV) &$550.0\pm 31.6$ \\ $g_{22}$~(MeV) &$250.0\pm 40.6$\\ $g_3$~(MeV$^2$) &$(31.2\pm 10.2)\times 10^6$\\ $M_3$~(MeV) &$7255.8 \pm 115.4$\\ $g_{31}$~(MeV) &$1377.9\pm 505.0$\\ $g_{32}$~(MeV) &$3999.7\pm 2352.5$\\ \hline \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline Model & Acc. & Prec. & Recall & F-Measure & FPR & FNR \\ \hline FS2 & \textbf{87.0} & 81.8 & \textbf{92.8} & \textbf{86.9} & 18.0 & \textbf{7.2} \\ \hline FS4 & 85.2 & 80.4 & 90.1 & 85.0 & 19.1 & 9.9 \\ \hline FS8 & \textbf{87.0} & 84.0 & 89.1 & 86.5 & 14.8 & 10.9 \\ \hline FS16 & 86.5 & 84.5 & 86.6 & 85.7 & 13.5 & 13.4 \\ \hline FS32 & 83.7 & \textbf{85.8} & 77.9 & 81.7 & \textbf{11.2} & 22.1 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline Model & Acc. & Prec. & Recall & F-Measure & FPR & FNR \\ \hline KD-FS2 & 87.0 & 83.7 & 89.4 & 86.4 & 15.2 & 10.6 \\ \hline KD-FS4 & \textbf{87.3} & \textbf{84.5} & 88.3 & \textbf{86.6} & \textbf{13.6} & 11.7 \\ \hline KD-FS8 & 86.6 & 83.1 & 89.5 & 86.2 & 15.9 & 10.5 \\ \hline KD-FS16 & 85.0 & 80.0 & \textbf{90.4} & 84.9 & 19.7 & \textbf{9.6} \\ \hline KD-FS32 & 81.5 & 79.4 & 81.3 & 80.3 & 18.4 & 18.7 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline Model & Acc. & Prec. & Recall & F-Measure & FPR & FNR \\ \hline SRNN & 87.6 & 84.5 & 90.6 & 87.5 & 14.6 & 9.4 \\ \hline KD-SRNN & \textbf{88.9} & \textbf{85.7} & \textbf{91.5} & \textbf{88.5} & \textbf{13.4} & \textbf{8.5} \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline Model & Acc. & Precision & Recall & F-Measure & FPR & FNR \\ \hline LRNN & \textbf{82.3} & \textbf{78.2} & \textbf{85.8} & \textbf{81.8} & \textbf{20.9} & \textbf{14.2} \\ \hline SRNN & 76.1 & 70.5 & 83.8 & 76.6 & 30.6 & 16.2 \\ \hline \end{tabular}
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\begin{tabular}{lccc} \hline Obs. ID & Date& Mode$^{a}$ & Exposure$^{b}$ \\ & & & (ks) \\ \hline 0760646201 (O1) & 2015-08-28 & Timing & 14.7 \\ 0760646301 (O2) & 2015-09-02 & Timing & 15.7 \\ 0760646401 (O3) & 2015-09-07 & Timing & 20.2 \\ 0760646501 (O4) & 2015-09-12 & Timing & 18.6 \\ 0760646601 (O5) & 2015-09-17 & Small Window & 36.5 \\ 0760646701 (O6) & 2015-09-30 & Small Window & 33.4 \\ \hline \multicolumn{4}{l}{\footnotesize \textit{Note.} $^{a}${X-ray instrument operating mode.} $^{b}${Useful exposure}} \\ \multicolumn{4}{l}{\footnotesize {time after data cleaning.}} \\ \end{tabular}
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\begin{tabular}{lllllll} \hline Parameter & O1 & O2 & O3 & O4 & O5 & O6 \\ \hline $r_\text{trc} (r_g)$ & $10^{+1.14}_{-0.89}$ & $15^{+1.16}_{-1.89}$ & $19^{+0.19}_{-0.20}$ & $26^{+0.16}_{-0.00}$ & $39^{+1.12}_{-1.34}$ & $55^{+2.38}_{-3.98}$ \\ $r_\text{sh} (r_g)$ & $7^{+0.64}_{-0.75}$ & $9^{+1.24}_{-1.93}$ & $12^{+0.47}_{-0.20}$ & $17^{+1.48}_{-0.50}$ & $27^{+0.13}_{-1.36}$ & $29^{+2.90}_{-3.20}$ \\ $(H/R)^2 \alpha$ & 0.005$^f$ & 0.005$^f$ & 0.005$^f$ & 0.005$^f$ & 0.005$^f$ & 0.005$^f$ \\ $\beta$ & $1.8^{+0.01}_{-0.19}$ & $1.7^{+0.01}_{-0.20}$ & $1.6^{+0.01}_{-0.20}$ & $1.5^{+0.00}_{-0.08}$ & $1.4^{+0.03}_{-0.10}$ & $1.4^{+0.02}_{-0.08}$ \\ $\gamma$ & 0$^f$ & 0$^f$ & 0$^f$ & 0$^f$ & 0$^f$ & 0$^f$ \\ $N_F$ & $0.05^{+0.01}_{-0.03}$ & $0.08^{+0.01}_{-0.07}$ & $0.07^{+0.01}_{-0.03}$ & $0.04^{+0.00}_{-0.02}$ & $0.05^{+0.00}_{-0.02}$ & $0.03^{+0.02}_{-0.00}$ \\ \hline $\chi^2 / \text{d.o.f.}$ & 195 / 96 & 175 / 94 & 151 / 100 & 137 / 97 & 130 / 79 & 134 / 69 \\ \hline \end{tabular}
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\begin{tabular}{|l|c|c|c|c|} \hline Curve Shape & Consistency & Acc & FP & FN \\ \hline\hline Quadratic & - & 91.94 & 0.1169 & 0.0975 \\ Quadratic & \checkmark & 93.18 & 0.1046 & 0.0752 \\ Cubic & - & 92.64 & 0.1068 & 0.0868 \\ Cubic & \checkmark & \textbf{93.69} & \textbf{0.0979} & \textbf{0.0724} \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|} \hline Class & \multicolumn{2}{c|}{Speakers} & \multicolumn{2}{c|}{$\#$ Sentences} \\ \cline{2-5} & F & M & F & M \\ \hline Positive & 4 & 6 & 168 & 296\\ \hline Negative & 3 & 6 & 44 & 194\\ \hline \end{tabular}
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\begin{tabular}{c|c|c} \noalign{\smallskip}\hline & Specificity & Sensitivity \\ \hline Full Dataset & 0.55 & 0.81 \\ Nasals & 0.80 & 0.85 \\ Front-Vowels & 0.73 & 0.70 \\ Mid-Vowels & 0.81 & 0.73 \\ Back-Vowels & 0.70 & 0.71 \\ Semi-Vowels & 0.74 & 0.58 \\ Stops & 0.67 & 0.87 \\ Fricatives & 0.67 & 0.67 \\ Diphthongs & 0.62 & 0.71 \\ \hline \end{tabular}
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\begin{tabular}{c|c|c} \noalign{\smallskip}\hline & Specificity & Sensitivity \\ \hline Full Dataset & 0.73 & 0.93 \\ Nasals & 0.85 & 0.94 \\ Mid-Vowels & 0.89 & 0.92 \\ Stops & 0.82 & 0.90 \\ \hline \end{tabular}
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\begin{tabular}{c|c|c} \textbf{Models} & \textbf{$T = 60$ sec.} & \textbf{$T = 20$ sec.} \\ \hline \textbf{\begin{tabular}[c]{@{}c@{}}Video-based\\ NetVLAD baseline\end{tabular}} & 67.5 & 56.6 \\ \hline \textbf{\begin{tabular}[c]{@{}c@{}}Audio-based\\ NetVLAD baseline\end{tabular}} & 46.8 & 35.9 \\ \hline \textbf{\begin{tabular}[c]{@{}c@{}}Audio + Video\\ NetVLAD\end{tabular}} & 75.2 & 75.0 \end{tabular}
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\begin{tabular}{c|c|c|c|c|c|c|c|c|c} & \multicolumn{3}{c|}{\textbf{Video-only}} & \multicolumn{3}{c|}{\textbf{Audio-only}} & \multicolumn{3}{c}{\textbf{Audio + Video}} \\ \hline \textbf{Models} & \textbf{Seg. max} & \textbf{Seg. center} & \textbf{NMS} & \textbf{Seg. max} & \textbf{Seg. center} & \textbf{NMS} & \multicolumn{1}{c|}{\textbf{Seg. Max}} & \multicolumn{1}{c|}{\textbf{Seg. center}} & \textbf{NMS} \\ \hline \textbf{NetRVLAD} & 30.8\% & 41.9\% & 30.2\% & 21.8\% & 30.3\% & 22.1\% & 34.0\% & 47.6\% & 33.4\% \\ \hline \textbf{\begin{tabular}[c]{@{}c@{}}60-sec. chunks\\ NetVLAD\end{tabular}} & 29.6\% & 43.4\% & 29.0\% & 19.9\% & 27.1\% & 19.5\% & 32.3\% & 48.7\% & 31.8\% \\ \hline \textbf{\begin{tabular}[c]{@{}c@{}}20-sec. chunks\\ NetVLAD\end{tabular}} & 49.2\% & \underline{50.2\%} & 49.4\% & 30.0\% & \underline{31.0\%} & 30.0\% & 54.0\% & \underline{56.0\%} & 53.6\% \end{tabular}
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\begin{tabular}{ll|cccc} \# & label & \# layers & reg. & augment. & defense \\ \hline 1 & NNet & 72 & - & - & - \\ 2 & NNetLarge & 114 & - & - & - \\ 3 & DistilledT10 & 72 & - & - & distillation \\ 4 & DistilledT10Large & 114 & - & - & distillation \\ 5 & DistilledT100 & 72 & - & - & distillation \\ 6 & DistilledT100Large & 114 & - & - & distillation \\ 7 & DistilledT10Augm & 72 & - & std. image augmentations & distillation \\ 8 & DistilledT100Augm & 72 & - & std. image augmentations & distillation \\ 9 & Gauss03 & 72 & - & Gaussian noise ($\sigma=0.03$) & - \\ 10 & Gauss09 & 72 & - & Gaussian noise ($\sigma=0.09$) & - \\ 11 & Gauss09Augm & 72 & - & Gaussian noise ($\sigma=0.09$) & - \\ 12 & Gauss09Large & 114 & - & Gaussian noise ($\sigma=0.09$) & - \\ 13 & GCE & 72 & - & gce loss & - \\ 14 & GCELarge & 114 & - & gce loss & - \\ 15 & ParsNet & 72 & parseval frame & - & - \\ 16 & ParsNetAugm & 72 & parseval frame & std. image augmentations & - \\ 17 & ParsNetLarge & 114 & parseval frame & - & - \\ 18 & AdvTrainFGSM & 72 & - & - & adv. training \\ 19 & AdvTrainPGD & 72 & - & - & adv. training \\ 20 & AdvTrainFGSMLarge & 114 & - & - & adv. training \\ \end{tabular}
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\begin{tabular}{llll} \toprule Layer & Output Shape & Layer & Output Shape \\ \cmidrule{1-4} 1) Convolution & $149*149*32$ & 5) Convolution & $73*73*80$ \\ 2) Convolution & $147*147*32$ & 6) Convolution & $71*71*192$ \\ 3) Convolution & $147*147*64$ & 7) MaxPool & $35*35*192$ \\ 4) MaxPool & $73*73*64$ \\ \bottomrule \end{tabular}
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\begin{tabular}{c|cccc|cccc|cccc} \toprule \multirow{2}[2]{*}{Model} & \multicolumn{4}{c|}{PredCls} & \multicolumn{4}{c|}{SGCls} & \multicolumn{4}{c}{SGGen} \\ & R@50 & R@100 & mR@50 & mR@100 & R@50 & R@100 & mR@50 & mR@100 & R@50 & R@100 & mR@50 & mR@100 \\ \hline Ours full model & 66.6 & 68.2 & 19.7 & 21.5 & 38.3 & 39.1 & 11.1 & 12.0 & 28.1 & 31.5 & 8.4 & 9.5 \\ Ours w/o O-ResGCN & 65.9 & 67.6 & 19.5 & 21.1 & 36.8 & 37.9 & 8.9 & 10.1 & 26.9 & 29.7 & 6.7 & 7.4 \\ Ours w/o R-ResGCN & 66.4 & 67.9 & 18.3 & 19.9 & 38.1 & 38.7 & 10.2 & 11.1 & 27.7 & 30.9 & 7.9 & 8.8 \\ Ours w/o Relation Prior & 66.3 & 68.1 & 18.9 & 20.5 & 38.2 & 39.0 & 10.8 & 11.5 & 27.9 & 31.2 & 8.2 & 9.1 \\ \hline \end{tabular}
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\begin{tabular}{c|cccc|cccc|cccc} \toprule \multirow{2}[2]{*}{Model} & \multicolumn{4}{c|}{PredCls} & \multicolumn{4}{c|}{SGCls} & \multicolumn{4}{c}{SGGen} \\ & R@50 & R@100 & mR@50 & mR@100 & R@50 & R@100 & mR@50 & mR@100 & R@50 & R@100 & mR@50 & mR@100 \\ \hline $N$ = 1 & 66.1 & 67.7 & 19.2 & 20.9 & 37.8 & 38.4 & 10.6 & 11.1 & 27.4 & 30.8 & 7.6 & 8.7 \\ $N$ = 2 & 66.3 & 68.0 & 19.5 & 21.3 & 38.1 & 38.9 & 10.8 & 11.6 & 27.8 & 31.1 & 8.1 & 9.1 \\ $N$ = 4 & 66.6 & 68.2 & 19.7 & 21.5 & 38.3 & 39.1 & 11.1 & 12.0 & 28.1 & 31.5 & 8.4 & 9.5 \\ $N$ = 8 & 66.3 & 67.9 & 19.4 & 21.2 & 38.2 & 39.0 & 10.9 & 11.7 & 28.0 & 31.3 & 8.2 & 9.3 \\ \hline \end{tabular}
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\begin{tabular}{lccccc} \hline \hline \multirow{2}{*}{}Density$(obs./m^2)$& \multicolumn{4}{c}{Random forest map} & \multirow{2}{*}{Gate map} \\ & 0.04 & 0.16 & 0.28 & 0.40 & \\ \hline \multicolumn{1}{c}{SDDM time(s)} & 20.74 & 29.50 & 40.05 & 42.90 & 42.71 \\ \multicolumn{1}{c}{EVA time(s)} & 19.28 & 25.02 & 31.04 & 33.01 & 32.99 \\ \hline \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline & $l_{L}$ & $e_{R}$ & $H$ & $\Phi$ & $S$ & $N_i$ & $\Psi$ \\ \hline $SU(2)$ & 2 & 1 & 2 & 2 & 1 & 1 & 1 \\ \hline $U(1)_Y$ & $-\frac{1}{2}$& -1 & $\frac{1}{2}$ & $\frac{1}{2}$& 0&0 & 0 \\ \hline $Z_2$ & + & + & + & - & - & - & + \\ \hline ${Z_{2}^{'}}$ & + & + & + & + & - & + & - \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|} \hline Parameters & Normal Hierarchy (NH) & Inverted Hierarchy (IH) \\ \hline $ \frac{\Delta m_{21}^2}{10^{-5} \text{eV}^2}$ & $6.79-8.01$ & $6.79-8.01 $ \\ $ \frac{|\Delta m_{31}^2|}{10^{-3} \text{eV}^2}$ & $2.427-2.625$ & $2.412-2.611 $ \\ $ \sin^2\theta_{12} $ & $0.275-0.350 $ & $0.275-0.350 $ \\ $ \sin^2\theta_{23} $ & $0.418-0.627$ & $0.423-0.629 $ \\ $\sin^2\theta_{13} $ & $0.02045-0.02439$ & $0.02068-0.02463 $ \\ $ \delta (^\circ) $ & $125-392$ & $196-360$ \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^-\mu^- \to e^-e^- )$} \\ \hline Benchmark& $M_{\Delta}$ & $E_{CM}$& Cross-section \\ Points &in GeV &in TeV & (in fb)\\ \hline \hline BP1 & 1250 & 1.5 & 7.4 \\ \hline BP2 & 1800 & 2.0 & 10.7 \\ \hline BP3 & 2700 & 3.0 & 4.8 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \hline Final state & BP1 & BP2 & BP3 \\ \hline \hline $2e^-$ & 7368.5 & 10727.8 & 4767.8 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^-\mu^- \to \mu^-N^- )$} \\ \hline Benchmark& $M_{n}$ & $E_{\rm CM}$& Cross-section \\ Points &in GeV &in TeV & (in fb)\\ \hline \hline BP1 & 1250& 1.5 & 8.8 \\ \hline BP2 & 1500 & 2.0 & 8.6 \\ \hline BP3 & 2000 & 3.0 & 6.1 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline Final states& \multicolumn{2}{c|}{BP1} &\multicolumn{2}{c|}{BP2} & \multicolumn{2}{c|}{BP3} \\ \cline{2-7} & Sig & BG & Sig & BG & Sig & BG \\ \hline \hline $2\ell + 2j$& 2459.0 & $1.49 \times 10^5$ & 1779.0 & $1.30 \times 10^5$ & 721.0 & $1.01 \times 10^5$ \\ \cline{2-7} $+|M_{jj\ell} -M_n|\leq 10\,$GeV & 806.1 & 178.0 & 565.2 & 238.2 & 199.2 & 127.9 \\ \hline \hline $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$& \multicolumn{2}{c|}{25.7} & \multicolumn{2}{c|}{19.9}& \multicolumn{2}{c|}{11.0} \\ \hline $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$& \multicolumn{2}{c|}{37.9} & \multicolumn{2}{c|}{63.1}& \multicolumn{2}{c|}{206.6} \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^+\mu^- \to \nu_\mu N^0/\widetilde{N}^0 )$} \\ \hline Benchmark& $M_{n}$ & $E_{CM}$& Cross-section \\ Points &in GeV &in TeV & (in fb)\\ \hline \hline BP1 & 1200 & 2.5 & 70.7 \\ \hline BP2 & 1500 & 5.0 & 54.0 \\ \hline BP3 & 2000 & 8.0 & 31.3 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^+\mu^- \to \Delta ^{++}\Delta^{--} )$} \\ \hline Benchmark& $M_{\Delta}$ & $E_{CM}$& Cross-section \\ Points &in GeV &in TeV & (in fb)\\ \hline \hline BP1 & 850 & 2.5 & 4.8 \\ \hline BP2 & 1200 & 5.0 & 2.2 \\ \hline BP3 & 1500 & 8.0 & 1.1 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c||c|c|c|c|c|c|} \cline{2-9} \multicolumn{1}{c|}{}&\multirow{2}{*}{Final states}& \multirow{2}{*}{Signal} &\multicolumn{6}{c|}{Backgrounds} \\ \cline{4-9} \multicolumn{1}{c|}{}&& & $t\bar{t}$ & $VV$ & $VVV$ & $t\bar{t}V$ & $\ell^+\ell^-Z$ & $\tau^+ \tau^- Z$ \\ \hline \multirow{5}{*}{BP1} & $2\ell^+ +2\ell^-$ & 1530.9 & 0.2 & 153.1 & 133.7 & 3.5 & 13855.6 & 17.4 \\ \cline{3-9} & $+|M_{\ell \ell} -M_{\Delta}|\leq 10\,$GeV & 1491.2 & 0.0 & 2.8 & 2.4 & 0.0 & 160.7 & 0.3 \\ \cline{2-9} & Total & 1491.2 &\multicolumn{6}{c|}{166.2} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{36.6} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{18.7} \\ \hline \hline \multirow{5}{*}{BP2} & $2\ell^+ +2\ell^-$ & 607.1 & 0.0 & 46.6 & 66.7 & 0.6 & 8753.2 & 5.4 \\ \cline{3-9} & $+|M_{\ell \ell} -M_\Delta|\leq 10\,$GeV & 592.4 & 0.0 & 1.3 & 0.7 & 0.0 & 43.8 & 0.1 \\ \cline{2-9} & Total & 592.4 &\multicolumn{6}{c|}{45.9} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{23.4} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{45.5} \\ \hline \hline \multirow{5}{*}{BP3} & $2\ell^+ +2\ell^-$ & 258.3 &0.0 & 15.9 & 44.4 & 0.1 & 5436.5 & 2.3 \\ \cline{3-9} & $+|M_{\ell \ell} -M_\Delta|\leq 10\,$GeV & 252.1 & 0.0 & 0.2 & 0.5 & 0.0 & 20.3 & 0.0 \\ \cline{2-9} & Total & 252.1 &\multicolumn{6}{c|}{21.0} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{15.3} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{107.4} \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^+\mu^- \to \mu^{\pm} N^{\mp} )$} \\ \hline Benchmark& $M_{n}$ & $E_{CM}$& Cross-section \\ Points &in GeV &in TeV & (in fb)\\ \hline \hline BP1 & 1200 & 2.5 & 22.8 \\ \hline BP2 & 1500 & 5.0 & 17.5 \\ \hline BP3 & 2000 & 8.0 & 10.2 \\ \hline \end{tabular}
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\begin{tabular}{|c|c|c||c|c|c|c|c|c|} \cline{2-9} \multicolumn{1}{c|}{}&\multirow{2}{*}{Final states}& \multirow{2}{*}{Signal} &\multicolumn{6}{c|}{Backgrounds} \\ \cline{4-9} \multicolumn{1}{c|}{}&& & $t\bar{t}$ & $VV$ & $VVV$ & $t\bar{t}V$ & $\ell^+\ell^-Z$ & $\tau^+ \tau^- Z$ \\ \hline \multirow{5}{*}{BP1} & $\rm{OSD} + 2j$ & 6649.02 & 132.28 & 1802.87 & 1288.43 & 19.50 & 93434.50 & 136.62 \\ \cline{3-9} & $+|M_{jj \ell} -M_{n}|\leq 10\,$GeV & 2480.43 & 0.06 & 10.49 & 4.92 & 0.00 & 284.03 & 1.52 \\ \cline{2-9} & Total & 2480.43 &\multicolumn{6}{c|}{301.02} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{47.03} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{11.30} \\ \hline \hline \multirow{5}{*}{BP2} & $\rm{OSD} + 2j$ & 2741.55 & 5.47 & 384.51 & 638.07 & 9.58 & 59532.6 & 34.67 \\ \cline{3-9} & $+|M_{jj \ell} -M_n|\leq 10\,$GeV & 948.52 & 0.00 & 0.65 & 1.52 & 0.00 & 61.65 & 0.19 \\ \cline{2-9} & Total & 948.52 &\multicolumn{6}{c|}{64.01} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{29.81} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{28.14} \\ \hline \hline \multirow{5}{*}{BP3} & $\rm{OSD} + 2j$ & 682.49 & 0.83 & 122.73 & 500.38 & 4.95 & 37305.7 & 11.86 \\ \cline{3-9} & $+|M_{jj \ell} -M_n|\leq 10\,$GeV & 205.51 & 0.00 & 0.00 & 0.54 & 0.00 & 20.29 & 0.05 \\ \cline{2-9} & Total & 205.51 &\multicolumn{6}{c|}{20.88} \\ \cline{2-9} & $\rm{S}_{\text{sig}} (\mathcal{L}_{\rm int}=1000\, \rm fb^{-1})$ & \multicolumn{7}{c|}{13.66} \\ \cline{2-9} & $\int \mathcal{L}_{5\sigma}\,[\rm{fb}^{-1}]$ & \multicolumn{7}{c|}{134.01} \\ \hline \end{tabular}
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<Decompile Table LaTeX from the image>
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\begin{tabular}{|c|c|c|c|} \cline{2-4} \multicolumn{1}{c|}{}&\multicolumn{3}{c|}{$\sigma(\mu^+e^- \to \mu^- e^{+} )$} \\ \hline Benchmark& $M_{\Delta}$ & $E_{CM}$& Cross-section \\ Points &in GeV &in GeV & (in fb)\\ \hline \hline BP1 & 850 & 300 & 0.15 \\ \hline BP2 & 850 & 1000 & 0.51 \\ \hline \end{tabular}
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Dataset Summary
This dataset is introduced in the paper DocFusion: A Unified Framework for Document Parsing Tasks. It contains two splits: table and equation_1 (more equation datasets will be uploaded later), with multimodal data including images and structured answers, targeting document-level parsing tasks such as table structure recognition and equation understanding.
Dataset Details
- Total Examples: ~850K(with more to be added)
- Data Fields:
Table LaTeX,Equation LaTeX - Task Type: Recognition-related document parsing If you use this dataset, please cite:
BibTeX:
@misc{chai2025docfusionunifiedframeworkdocument,
title={DocFusion: A Unified Framework for Document Parsing Tasks},
author={Mingxu Chai and Ziyu Shen and Chong Zhang and Yue Zhang and Xiao Wang and Shihan Dou and Jihua Kang and Jiazheng Zhang and Qi Zhang},
year={2025},
eprint={2412.12505},
archivePrefix={arXiv},
primaryClass={cs.CL},
url={https://arxiv.org/abs/2412.12505}
}
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