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Table 3

Comparison of the performances of our MLPQNA (here labeled as QNA) method against all other empirical methods analyzed by PHAT board.

A 18-band; |Δz| ≤ 0.15 14-band; |Δz| ≤ 0.15 18-band; R < 24; |Δz| ≤ 0.15 14-band; R < 24; |Δz| ≤ 0.15

Code bias scatter outliers % bias scatter outliers % bias scatter outliers % bias scatter outliers %

QNA 0.0006 0.056 16.3 0.0028 0.063 19.3 0.0002 0.053 11.7 0.0016 0.060 13.7
AN-e –0.010 0.074 31.0 –0.006 0.078 38.5 –0.013 0.071 24.4 –0.007 0.076 32.8
EC-e –0.001 0.067 18.4 0.002 0.066 16.7 –0.006 0.064 14.5 –0.003 0.064 13.5
PO-e –0.009 0.052 18.0 –0.007 0.051 13.7 –0.009 0.047 10.7 –0.008 0.046 7.1
RT-e –0.009 0.066 21.4 –0.008 0.067 24.2 –0.012 0.063 16.4 –0.012 0.064 18.4

B 18-band; |Δz| ≤ 0.5 14-band; |Δz| ≤ 0.5 18-band; R < 24; |Δz| ≤ 0.5 14-band; R < 24; |Δz| ≤ 0.5

Code bias scatter outliers % bias scatter outliers % bias scatter outliers % bias scatter outliers %

QNA –0.0028 0.114 3.8 –0.0046 0.125 3.8 –0.0039 0.101 1.7 –0.0039 0.101 1.7
AN-e –0.036 0.151 3.1 –0.035 0.173 4.2 –0.047 0.130 1.4 –0.047 0.130 1.4
EC-e –0.007 0.120 3.6 –0.003 0.114 3.6 –0.015 0.106 1.9 –0.015 0.106 1.9
PO-e –0.013 0.124 3.1 0.001 0.107 2.3 –0.020 0.098 1.2 –0.020 0.098 1.2
RT-e –0.031 0.126 3.2 –0.028 0.137 3.6 –0.034 0.111 1.4 –0.034 0.111 1.4

C 18-band; zsp ≤ 1.5, |Δz| ≤ 0.15 14-band; zsp ≤ 1.5, |Δz| ≤ 0.15 18-band; zsp > 1.5, |Δz| ≤ 0.15 14-band; zsp > 1.5, |Δz| ≤ 0.15

Code bias scatter outliers % bias scatter outliers % bias scatter outliers % bias scatter outliers %

QNA –0.0004 0.053 14.6 0.0001 0.061 16.6 0.0074 0.072 26.3 0.0222 0.070 35.0
AN-e –0.017 0.070 27.6 –0.010 0.076 33.6 0.051 0.078 50.7 0.045 0.077 66.4
EC-e –0.003 0.065 16.1 –0.000 0.064 14.5 0.015 0.077 32.3 0.015 0.077 29.5
PO-e –0.012 0.049 12.6 –0.011 0.047 9.4 0.019 0.075 48.3 0.026 0.074 37.7
RT-e –0.016 0.062 19.6 –0.014 0.064 21.1 0.040 0.072 31.8 0.039 0.071 41.9

Notes. For a description of other methods (namely AN-e, EC-e, PO-e and RT-e) see the text. The table is divided into three parts (namely A, B and C). Data for the other empirical method have been extracted from Hildebrandt et al. (2010). In each part of the table we list the results (on both the 18 and the 14 bands datasets) for a specific subsample of the PHAT objects. Part A: statistical indicators (bias and scatter) for the 18 and 14 bands computed on objects with |Δz| ≤ 0.15 and for objects with |Δz| ≤ 0.15 and R < 24. The column “outliers” gives the fraction of outliers defined as objects with |Δz| > 0.15. Part B: the same but for |Δz| ≤ 0.5. Part C: the same but for objects with spectroscopic redshift zsp ≤ 1.5 and |Δz| ≤ 1.5, and for zsp > 1.5 and |Δz| ≤ 1.5. The definitions of bias, scatter, and outliers fraction are given in the text. Values were computed by the PHAT collaboration on the whole PHAT1 dataset.

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