Table A1.

Features.

FeatureCode referenceDescription
Long-term trendlongtermtrendLinear trend of fluxes over whole series
Mean to median ratiomeanmedratRatio between the mean and the median
Skewness of fluxesskewsSkewness of the fluxes
VariancevarssVariance of the fluxes
Coefficient of variabilitycoeffvarRatio of the standard deviation to the mean of the fluxes
Standard deviationstdsStandard deviation of the fluxes
Number of outliers beyond 1σnumout1sCount of flux values beyond 1σ deviation from the mean
Number of negative outliersnumnegoutliersCount of flux values beyond 4σ deviation from the mean, less than the mean
Number of positive outliersnumposoutliersCount of flux values beyond 4σ deviation from the mean, greater than the mean
Number of outliersnumoutliersCount of total flux values beyond 4σ deviation from the mean
KurtosiskurtKurtosis of the fluxes
Median absolute differencemadMedian absolute difference from the median flux
Maximum slopesmaxslopeValue defining the 99th percentile of slopes between 2 sequential fluxes
Minimum slopesminslopeValue defining the 1st percentile of slopes between 2 sequential fluxes
Mean of postive slopesmeanpslopeMean of positive slopes between 2 sequential fluxes
Mean of negative slopesmeannslopeMean of negative slopes between 2 sequential fluxes
G asymmetryg_asymmRatio of mean positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Rough g asymmetryrough_g_asymmRatio of number of positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Diffence asymmetrydiff_asymmDifference between the mean of the positive slopes and the absolute mean of the negative slopes
Skewness of slopesskewslopeSkewness of slopes
Slopes mean valuemeanabsslopeMean of the absolute value slopes
Variance of absolute slopesvarabsslopeVariance of the absolute value slopes
Variance of the slopesvarslopeVariance of the slopes
Absolute mean of the second derivativeabsmeansecderMean of the absolute second derivative of the fluxes
Number of positive spikesnum_pspikesCount of positive spikes as defined by a positive slope 3σ or greater than the mean positive slope
Number of negative spikesnum_nspikesCount of negative spikes as defined by a negative slope 3σ or smaller than the mean negative slope
Number of positive second derivative spikesnum_psdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, greater than the mean
Number of negative second derivative spikesnum_nsdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, less than the mean
Standard deviation ratiostdratioRatio of the standard deviation of the positive slopes to the standard deviation of the negative slopes (large dummy value of 10 given if negative standard deviation is zero)
Pair slope trendpstrendRatio of positive slopes with a subsequent positive slope to the total number of slopes
Number of ‘zero’ crossingsnum_zcrossCount of occurences where sequential observations cross the longterm trendline
Number of ‘plus-minus’ slope switchesnum_pmCount of slope transitions from positive to negative
Length of naive maximalen_nmaxCount of naive maxima where a maxima is the largest flux value within 10 points on either side
Length of naive minimalen_nminCount of naive minima where a minima is the smallest flux value within 10 points on either side
Maxima autocorrelation coefficientmautocorrcoefAutocorrelation coefficient of one maxima to the next
Peak-to-peak slopesptpslopesMean of the slopes from naive peak-to-peak
PeriodicityperiodicityCoefficient of variability for time-differences, ratio of the standard deviation to the mean of time-difference between maxima
Periodicity residualperiodicityrCoefficient of variability for time-differences of maxima using residuals
Naive periodicitynaiveperiodMean of the time-differences between naive maxima
Maxima variationmaxvarsCoefficient of variation of the maxima, ratio of the standard deviation to the mean of the naive maxima flux values
Maxima variation residualsmaxvarsrCoefficient of variation of maxima flux values using residuals instead of standard deviation
Odd to even ratiooeratioRatio of odd indice minima flux values to even indice means flux values
Amplitude analogueamp_2Peak-to-peak based on 1st and 99th percentile
Normalized amplitude analoguenormampamp_2 divided by the mean flux value
Median buffer percentilembpFraction of the number of points within 10% of the amplitude to the median
Ratio of flux percentiles (60th to 40th)mid20Ratio of flux percentiles (60th to 40th) over (95th to 5th)
Ratio of flux percentiles (67th to 32nd)mid35Ratio of flux percentiles (67th to 32nd) over (95th to 5th)
Ratio of flux percentiles (75th to 25th)mid50Ratio of flux percentiles (75th to 25th) over (95th to 5th)
Ratio of flux percentiles (82nd to 17th)mid65Ratio of flux percentiles (82nd to 17th) over (95th to 5th)
Ratio of flux percentiles (90th to 10th)mid80Ratio of flux percentiles (90th to 10th) over (95th to 5th)
Percent amplitude per centampLargest absolute difference between the max or min flux and the median (as apercentage of the median)
Maximum ratiomagratioRatio of the maximum flux value to amp_2
Auto-correletion coefficientautocorrcoefAuto-correlation coefficient of the fluxes
Slopes autocorrelation coefficientsautocorrcoefAuto-correlation coefficient of the slopes
Flatness mean around naive maximaflatmeanMean average of flatness values around maxima, where flatness is the mean of the absolute value of 6 slopes on either side of each maxima
Flatness mean around naive minimatflatmeanMean average of flatness values around minima, where flatness is the mean of the absolute value of 6 slopes on either side of each minima
Roundness mean around naive maximaroundmeanMean average of roundness values around maxima, where roundness is the mean of 6 second derivative values on either side of maxima
Roundness mean around naive minimatroundmeanMean average of roundness values around minima, where roundness is the mean of 6 second derivative values on either side of minima
Roundness ratioroundratRatio of roundness of maxima to roundness of minima
Flatness ratioflatratRatio of flatness of maxima to flatness of minima
FeatureCode referenceDescription
Long-term trendlongtermtrendLinear trend of fluxes over whole series
Mean to median ratiomeanmedratRatio between the mean and the median
Skewness of fluxesskewsSkewness of the fluxes
VariancevarssVariance of the fluxes
Coefficient of variabilitycoeffvarRatio of the standard deviation to the mean of the fluxes
Standard deviationstdsStandard deviation of the fluxes
Number of outliers beyond 1σnumout1sCount of flux values beyond 1σ deviation from the mean
Number of negative outliersnumnegoutliersCount of flux values beyond 4σ deviation from the mean, less than the mean
Number of positive outliersnumposoutliersCount of flux values beyond 4σ deviation from the mean, greater than the mean
Number of outliersnumoutliersCount of total flux values beyond 4σ deviation from the mean
KurtosiskurtKurtosis of the fluxes
Median absolute differencemadMedian absolute difference from the median flux
Maximum slopesmaxslopeValue defining the 99th percentile of slopes between 2 sequential fluxes
Minimum slopesminslopeValue defining the 1st percentile of slopes between 2 sequential fluxes
Mean of postive slopesmeanpslopeMean of positive slopes between 2 sequential fluxes
Mean of negative slopesmeannslopeMean of negative slopes between 2 sequential fluxes
G asymmetryg_asymmRatio of mean positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Rough g asymmetryrough_g_asymmRatio of number of positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Diffence asymmetrydiff_asymmDifference between the mean of the positive slopes and the absolute mean of the negative slopes
Skewness of slopesskewslopeSkewness of slopes
Slopes mean valuemeanabsslopeMean of the absolute value slopes
Variance of absolute slopesvarabsslopeVariance of the absolute value slopes
Variance of the slopesvarslopeVariance of the slopes
Absolute mean of the second derivativeabsmeansecderMean of the absolute second derivative of the fluxes
Number of positive spikesnum_pspikesCount of positive spikes as defined by a positive slope 3σ or greater than the mean positive slope
Number of negative spikesnum_nspikesCount of negative spikes as defined by a negative slope 3σ or smaller than the mean negative slope
Number of positive second derivative spikesnum_psdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, greater than the mean
Number of negative second derivative spikesnum_nsdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, less than the mean
Standard deviation ratiostdratioRatio of the standard deviation of the positive slopes to the standard deviation of the negative slopes (large dummy value of 10 given if negative standard deviation is zero)
Pair slope trendpstrendRatio of positive slopes with a subsequent positive slope to the total number of slopes
Number of ‘zero’ crossingsnum_zcrossCount of occurences where sequential observations cross the longterm trendline
Number of ‘plus-minus’ slope switchesnum_pmCount of slope transitions from positive to negative
Length of naive maximalen_nmaxCount of naive maxima where a maxima is the largest flux value within 10 points on either side
Length of naive minimalen_nminCount of naive minima where a minima is the smallest flux value within 10 points on either side
Maxima autocorrelation coefficientmautocorrcoefAutocorrelation coefficient of one maxima to the next
Peak-to-peak slopesptpslopesMean of the slopes from naive peak-to-peak
PeriodicityperiodicityCoefficient of variability for time-differences, ratio of the standard deviation to the mean of time-difference between maxima
Periodicity residualperiodicityrCoefficient of variability for time-differences of maxima using residuals
Naive periodicitynaiveperiodMean of the time-differences between naive maxima
Maxima variationmaxvarsCoefficient of variation of the maxima, ratio of the standard deviation to the mean of the naive maxima flux values
Maxima variation residualsmaxvarsrCoefficient of variation of maxima flux values using residuals instead of standard deviation
Odd to even ratiooeratioRatio of odd indice minima flux values to even indice means flux values
Amplitude analogueamp_2Peak-to-peak based on 1st and 99th percentile
Normalized amplitude analoguenormampamp_2 divided by the mean flux value
Median buffer percentilembpFraction of the number of points within 10% of the amplitude to the median
Ratio of flux percentiles (60th to 40th)mid20Ratio of flux percentiles (60th to 40th) over (95th to 5th)
Ratio of flux percentiles (67th to 32nd)mid35Ratio of flux percentiles (67th to 32nd) over (95th to 5th)
Ratio of flux percentiles (75th to 25th)mid50Ratio of flux percentiles (75th to 25th) over (95th to 5th)
Ratio of flux percentiles (82nd to 17th)mid65Ratio of flux percentiles (82nd to 17th) over (95th to 5th)
Ratio of flux percentiles (90th to 10th)mid80Ratio of flux percentiles (90th to 10th) over (95th to 5th)
Percent amplitude per centampLargest absolute difference between the max or min flux and the median (as apercentage of the median)
Maximum ratiomagratioRatio of the maximum flux value to amp_2
Auto-correletion coefficientautocorrcoefAuto-correlation coefficient of the fluxes
Slopes autocorrelation coefficientsautocorrcoefAuto-correlation coefficient of the slopes
Flatness mean around naive maximaflatmeanMean average of flatness values around maxima, where flatness is the mean of the absolute value of 6 slopes on either side of each maxima
Flatness mean around naive minimatflatmeanMean average of flatness values around minima, where flatness is the mean of the absolute value of 6 slopes on either side of each minima
Roundness mean around naive maximaroundmeanMean average of roundness values around maxima, where roundness is the mean of 6 second derivative values on either side of maxima
Roundness mean around naive minimatroundmeanMean average of roundness values around minima, where roundness is the mean of 6 second derivative values on either side of minima
Roundness ratioroundratRatio of roundness of maxima to roundness of minima
Flatness ratioflatratRatio of flatness of maxima to flatness of minima

Note: Sample code snippets for all features are available at

Table A1.

Features.

FeatureCode referenceDescription
Long-term trendlongtermtrendLinear trend of fluxes over whole series
Mean to median ratiomeanmedratRatio between the mean and the median
Skewness of fluxesskewsSkewness of the fluxes
VariancevarssVariance of the fluxes
Coefficient of variabilitycoeffvarRatio of the standard deviation to the mean of the fluxes
Standard deviationstdsStandard deviation of the fluxes
Number of outliers beyond 1σnumout1sCount of flux values beyond 1σ deviation from the mean
Number of negative outliersnumnegoutliersCount of flux values beyond 4σ deviation from the mean, less than the mean
Number of positive outliersnumposoutliersCount of flux values beyond 4σ deviation from the mean, greater than the mean
Number of outliersnumoutliersCount of total flux values beyond 4σ deviation from the mean
KurtosiskurtKurtosis of the fluxes
Median absolute differencemadMedian absolute difference from the median flux
Maximum slopesmaxslopeValue defining the 99th percentile of slopes between 2 sequential fluxes
Minimum slopesminslopeValue defining the 1st percentile of slopes between 2 sequential fluxes
Mean of postive slopesmeanpslopeMean of positive slopes between 2 sequential fluxes
Mean of negative slopesmeannslopeMean of negative slopes between 2 sequential fluxes
G asymmetryg_asymmRatio of mean positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Rough g asymmetryrough_g_asymmRatio of number of positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Diffence asymmetrydiff_asymmDifference between the mean of the positive slopes and the absolute mean of the negative slopes
Skewness of slopesskewslopeSkewness of slopes
Slopes mean valuemeanabsslopeMean of the absolute value slopes
Variance of absolute slopesvarabsslopeVariance of the absolute value slopes
Variance of the slopesvarslopeVariance of the slopes
Absolute mean of the second derivativeabsmeansecderMean of the absolute second derivative of the fluxes
Number of positive spikesnum_pspikesCount of positive spikes as defined by a positive slope 3σ or greater than the mean positive slope
Number of negative spikesnum_nspikesCount of negative spikes as defined by a negative slope 3σ or smaller than the mean negative slope
Number of positive second derivative spikesnum_psdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, greater than the mean
Number of negative second derivative spikesnum_nsdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, less than the mean
Standard deviation ratiostdratioRatio of the standard deviation of the positive slopes to the standard deviation of the negative slopes (large dummy value of 10 given if negative standard deviation is zero)
Pair slope trendpstrendRatio of positive slopes with a subsequent positive slope to the total number of slopes
Number of ‘zero’ crossingsnum_zcrossCount of occurences where sequential observations cross the longterm trendline
Number of ‘plus-minus’ slope switchesnum_pmCount of slope transitions from positive to negative
Length of naive maximalen_nmaxCount of naive maxima where a maxima is the largest flux value within 10 points on either side
Length of naive minimalen_nminCount of naive minima where a minima is the smallest flux value within 10 points on either side
Maxima autocorrelation coefficientmautocorrcoefAutocorrelation coefficient of one maxima to the next
Peak-to-peak slopesptpslopesMean of the slopes from naive peak-to-peak
PeriodicityperiodicityCoefficient of variability for time-differences, ratio of the standard deviation to the mean of time-difference between maxima
Periodicity residualperiodicityrCoefficient of variability for time-differences of maxima using residuals
Naive periodicitynaiveperiodMean of the time-differences between naive maxima
Maxima variationmaxvarsCoefficient of variation of the maxima, ratio of the standard deviation to the mean of the naive maxima flux values
Maxima variation residualsmaxvarsrCoefficient of variation of maxima flux values using residuals instead of standard deviation
Odd to even ratiooeratioRatio of odd indice minima flux values to even indice means flux values
Amplitude analogueamp_2Peak-to-peak based on 1st and 99th percentile
Normalized amplitude analoguenormampamp_2 divided by the mean flux value
Median buffer percentilembpFraction of the number of points within 10% of the amplitude to the median
Ratio of flux percentiles (60th to 40th)mid20Ratio of flux percentiles (60th to 40th) over (95th to 5th)
Ratio of flux percentiles (67th to 32nd)mid35Ratio of flux percentiles (67th to 32nd) over (95th to 5th)
Ratio of flux percentiles (75th to 25th)mid50Ratio of flux percentiles (75th to 25th) over (95th to 5th)
Ratio of flux percentiles (82nd to 17th)mid65Ratio of flux percentiles (82nd to 17th) over (95th to 5th)
Ratio of flux percentiles (90th to 10th)mid80Ratio of flux percentiles (90th to 10th) over (95th to 5th)
Percent amplitude per centampLargest absolute difference between the max or min flux and the median (as apercentage of the median)
Maximum ratiomagratioRatio of the maximum flux value to amp_2
Auto-correletion coefficientautocorrcoefAuto-correlation coefficient of the fluxes
Slopes autocorrelation coefficientsautocorrcoefAuto-correlation coefficient of the slopes
Flatness mean around naive maximaflatmeanMean average of flatness values around maxima, where flatness is the mean of the absolute value of 6 slopes on either side of each maxima
Flatness mean around naive minimatflatmeanMean average of flatness values around minima, where flatness is the mean of the absolute value of 6 slopes on either side of each minima
Roundness mean around naive maximaroundmeanMean average of roundness values around maxima, where roundness is the mean of 6 second derivative values on either side of maxima
Roundness mean around naive minimatroundmeanMean average of roundness values around minima, where roundness is the mean of 6 second derivative values on either side of minima
Roundness ratioroundratRatio of roundness of maxima to roundness of minima
Flatness ratioflatratRatio of flatness of maxima to flatness of minima
FeatureCode referenceDescription
Long-term trendlongtermtrendLinear trend of fluxes over whole series
Mean to median ratiomeanmedratRatio between the mean and the median
Skewness of fluxesskewsSkewness of the fluxes
VariancevarssVariance of the fluxes
Coefficient of variabilitycoeffvarRatio of the standard deviation to the mean of the fluxes
Standard deviationstdsStandard deviation of the fluxes
Number of outliers beyond 1σnumout1sCount of flux values beyond 1σ deviation from the mean
Number of negative outliersnumnegoutliersCount of flux values beyond 4σ deviation from the mean, less than the mean
Number of positive outliersnumposoutliersCount of flux values beyond 4σ deviation from the mean, greater than the mean
Number of outliersnumoutliersCount of total flux values beyond 4σ deviation from the mean
KurtosiskurtKurtosis of the fluxes
Median absolute differencemadMedian absolute difference from the median flux
Maximum slopesmaxslopeValue defining the 99th percentile of slopes between 2 sequential fluxes
Minimum slopesminslopeValue defining the 1st percentile of slopes between 2 sequential fluxes
Mean of postive slopesmeanpslopeMean of positive slopes between 2 sequential fluxes
Mean of negative slopesmeannslopeMean of negative slopes between 2 sequential fluxes
G asymmetryg_asymmRatio of mean positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Rough g asymmetryrough_g_asymmRatio of number of positive slopes to negative slopes (large dummy value of 10 given if no negative slopes)
Diffence asymmetrydiff_asymmDifference between the mean of the positive slopes and the absolute mean of the negative slopes
Skewness of slopesskewslopeSkewness of slopes
Slopes mean valuemeanabsslopeMean of the absolute value slopes
Variance of absolute slopesvarabsslopeVariance of the absolute value slopes
Variance of the slopesvarslopeVariance of the slopes
Absolute mean of the second derivativeabsmeansecderMean of the absolute second derivative of the fluxes
Number of positive spikesnum_pspikesCount of positive spikes as defined by a positive slope 3σ or greater than the mean positive slope
Number of negative spikesnum_nspikesCount of negative spikes as defined by a negative slope 3σ or smaller than the mean negative slope
Number of positive second derivative spikesnum_psdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, greater than the mean
Number of negative second derivative spikesnum_nsdspikesCount of second derivative values beyond 4σ deviation from the mean of second derivative values, less than the mean
Standard deviation ratiostdratioRatio of the standard deviation of the positive slopes to the standard deviation of the negative slopes (large dummy value of 10 given if negative standard deviation is zero)
Pair slope trendpstrendRatio of positive slopes with a subsequent positive slope to the total number of slopes
Number of ‘zero’ crossingsnum_zcrossCount of occurences where sequential observations cross the longterm trendline
Number of ‘plus-minus’ slope switchesnum_pmCount of slope transitions from positive to negative
Length of naive maximalen_nmaxCount of naive maxima where a maxima is the largest flux value within 10 points on either side
Length of naive minimalen_nminCount of naive minima where a minima is the smallest flux value within 10 points on either side
Maxima autocorrelation coefficientmautocorrcoefAutocorrelation coefficient of one maxima to the next
Peak-to-peak slopesptpslopesMean of the slopes from naive peak-to-peak
PeriodicityperiodicityCoefficient of variability for time-differences, ratio of the standard deviation to the mean of time-difference between maxima
Periodicity residualperiodicityrCoefficient of variability for time-differences of maxima using residuals
Naive periodicitynaiveperiodMean of the time-differences between naive maxima
Maxima variationmaxvarsCoefficient of variation of the maxima, ratio of the standard deviation to the mean of the naive maxima flux values
Maxima variation residualsmaxvarsrCoefficient of variation of maxima flux values using residuals instead of standard deviation
Odd to even ratiooeratioRatio of odd indice minima flux values to even indice means flux values
Amplitude analogueamp_2Peak-to-peak based on 1st and 99th percentile
Normalized amplitude analoguenormampamp_2 divided by the mean flux value
Median buffer percentilembpFraction of the number of points within 10% of the amplitude to the median
Ratio of flux percentiles (60th to 40th)mid20Ratio of flux percentiles (60th to 40th) over (95th to 5th)
Ratio of flux percentiles (67th to 32nd)mid35Ratio of flux percentiles (67th to 32nd) over (95th to 5th)
Ratio of flux percentiles (75th to 25th)mid50Ratio of flux percentiles (75th to 25th) over (95th to 5th)
Ratio of flux percentiles (82nd to 17th)mid65Ratio of flux percentiles (82nd to 17th) over (95th to 5th)
Ratio of flux percentiles (90th to 10th)mid80Ratio of flux percentiles (90th to 10th) over (95th to 5th)
Percent amplitude per centampLargest absolute difference between the max or min flux and the median (as apercentage of the median)
Maximum ratiomagratioRatio of the maximum flux value to amp_2
Auto-correletion coefficientautocorrcoefAuto-correlation coefficient of the fluxes
Slopes autocorrelation coefficientsautocorrcoefAuto-correlation coefficient of the slopes
Flatness mean around naive maximaflatmeanMean average of flatness values around maxima, where flatness is the mean of the absolute value of 6 slopes on either side of each maxima
Flatness mean around naive minimatflatmeanMean average of flatness values around minima, where flatness is the mean of the absolute value of 6 slopes on either side of each minima
Roundness mean around naive maximaroundmeanMean average of roundness values around maxima, where roundness is the mean of 6 second derivative values on either side of maxima
Roundness mean around naive minimatroundmeanMean average of roundness values around minima, where roundness is the mean of 6 second derivative values on either side of minima
Roundness ratioroundratRatio of roundness of maxima to roundness of minima
Flatness ratioflatratRatio of flatness of maxima to flatness of minima

Note: Sample code snippets for all features are available at

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