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\begin{table}%T3 \caption{\label{tab-attributes}Attributes used in each classification stage by the sequential classifier. Abbreviations used are as follows: log-$ fi$ represents the logarithm of the $i$th frequency; log-$fi$-$fj$ is the logarithm of the ratio $fi/fj$; afi represents the sum of squares of the harmonic amplitudes in frequency~$i$; log-$afihj$-$t$ is the logarithm of the total amplitude of the $j$th harmonic of the $i$th frequency; log-$crfij$ is the logarithm of the $j$th ratio of harmonic amplitudes of the $i$th frequency ($j=0$~corresponds to the ratio of the amplitude of the second harmonic over that of the first, $j=1$, to the ratio of the amplitude of the third harmonic over that of the first and so on); log-$crfihj$-$fi'hj'$ represents the logarithm of the amplitude ratio between harmonics $j$ and $j'$ of frequencies $i$ and $i'$ respectively; $pdfij$ is the $j$th phase difference between the various harmonics of the $i$th frequency ($j=0$ corresponds to the first and second harmonics, $j=1$, to the third and first harmonics, and so on); varrat represents the variance ratio defined in Paper~I.} \small %\centering \par \begin{tabular}{cc} \hline \hline Stage & Classes and attributes \\ \hline 1 & Eclipsing/non eclipsing \\ & log-$f3$, log-$f2$-$f1$, log-$af1h1$-$t$, log-$crf10$, log-$crf15$, log-$crf20$, log-$crf25,$ log-$crf32$, log-$crf33$, $pdf$12, $pdf$13, $pdf$14, $pdf$23 \\ 2 & Cepheids/non Cepheids \\ & log-$f1$, log-$f2$-$f1$, $af$1, $af2$, log-$af1h1$-$t$, log-$af1h2$-$t$, log-$crf3h1$-$f1h1$, log-$crf10$, log-$crf11$, log-$crf14$, $pdf12$, varrat \\ 3 & Red giants/non red giants \\ & log-$f1$, log-$f2$, log-$f3$, log-$f2$-$f1$, $af1$, $af2$, log-$af1h1$-$t$, log-$af2h3$-$t$, log-$crf21$, log-$crf24$, log-$crf30$ \\ 4 & RR~Lyrae/Non RR~Lyrae \\ & log-$f1$, $af1$, log-$af1h1$-$t$, log-$af3h1$-$t$, log-$crf3h1$-$f1h1$, log-$crf11$, log-$crf14$, $pdf$12, $pdf$13 \\ 5 & CLCEP/DMCEP/PTCEP/RVTAU \\ & log-$f1$, log-$af1h1$-$t$, log-$af2h3$-$t$, log-$af2h4$-$t$, log-$af3h4$-$t$, log-$crf12$, log-$crf32$, $pdf12$, varrat\\ 6 & MIRA/SR \\ & $af1$, log-$af1h1$-$t$, log-$af1h3$-$t$, log-$af2h4$-$t$, log-$af3h3$-$t$, varrat\\ 7 & RRAB/RRC/RRD\\ & log-$f1$, log-$f2$-$f1$, $af1$, log-$af1h2$-$t$, log-$crf2h1$-$f1h1$, log-$crf10$, $pdf12$, varrat\\ 8 & PVSG BE BCEP CP DSCUT ELL GDOR HAEBE HMXB LBOO LBV PTCEP ROAP SPB SXPHE TTAU WR FUORI PSDB \\ & log-$f1$, log-$af2h1$-$t$, log-$crf2h1$-$f1h1$, log-$crf10$, log-$crf13$ \\ \hline \end{tabular} \end{table}

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