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Figure 1: Schematic overview of the different steps (sections indicated) in the development and comparison of the classification methods presented in this paper. |
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Figure 2: The range for the frequency f1 (in cycles/day), its first harmonic amplitude A11 (in magnitude), the phases PH12 (in radians) and the variance ratio vf1/v (varrat) for all the 35 considered variability classes listed in Table 1. For visibility reasons, we have plotted the logarithm of the frequency and amplitude values. Every symbol in the plots corresponds to the parameter value of exactly one light curve. In this way, we attempt to visualize the distribution of the light curve parameters, in addition to their mere range. |
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Figure 3: Box-and-whiskers plot of the logarithm of f1 for 29 classes with sufficient members to define such tools in the training set. Central boxes represent the median and interquantile ranges (25 to 75%) and the outer whiskers represent rule-of-thumb boundaries for the definition of outliers (1.5 the quartile range). The box widths are proportional to the number of examples in the class. |
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Figure 4:
Hexagonal representation of the two dimensional density of examples
of the Classical Cepheids class in the ![]() ![]() ![]() |
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Figure 5: The range in amplitudes A1j for the 3 higher harmonics of f1, and the linear trend b. For visibility reasons, we have plotted the logarithm of the amplitude values. |
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Figure 6:
The range for the frequencies f2 and f3 and the phases PH1j of the higher harmonics of f1. For visibility reasons, we have plotted the logarithm of the frequency values. Note the split into two clouds of the phase values PH13 for the eclipsing binary classes. This is a computational artefact: phase values close to ![]() ![]() |
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Figure 7: The range in amplitudes A2j for the 4 harmonics of f2. For visibility reasons, we have plotted the logarithm of the amplitude values. |
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Figure 8: The range in amplitudes A3j for the 4 harmonics of f3. For visibility reasons, we have plotted the logarithm of the amplitude values. |
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Figure 9: The range in phases PH2j for the 4 harmonics of f2. As can be seen from the plots, the distribution of these parameters is rather uniform for every class. They are unlikely to be good classification parameters, since for none of the classes, clear clustering of the phase values is present. |
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Figure 10: The range in phases PH3j for the 4 harmonics of f3. The same comments as for Fig. 9 apply here. |
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Figure 11: Box-and-whiskers plot of the logarithm of R21 for all classes in the training set. Central boxes represent the median and interquantile ranges (25 to 75%) and the outer whiskers represent rule-of-thumb boundaries for the definition of outliers (1.5 the quartile range). The boxes widths are proportional to the number of examples in the class. |
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Figure 12: Box-and-whiskers plot of the logarithm of the variance ratio vf1/v (varrat) for all classes in the training set. Central boxes represent the median and interquantile ranges (25 to 75%) and the outer whiskers represent rule-of-thumb boundaries for the definition of outliers (1.5 the quartile range). The boxes widths are proportional to the number of examples in the class. |
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