Table 2. Open in new tab Values of the...

Code

Sample

|$\chi _{\mathrm{ rel}} ^2$| for |$\sf{C}$| from ξ₀₂₄

|$\chi _{\mathrm{ rel}} ^2$| for |$\sf{C}$| from ξ_|$w$|

|$\chi _{\mathrm{ rel}} ^2$| for |$\sf{R}$| from ξ₀₂₄

|$\chi _{\mathrm{ rel}} ^2$| for |$\sf{R}$| from ξ_|$w$|

D_KL for ξ₀₂₄

D_KL for ξ_|$w$|

ice-cola

mass1

0.19

0.21

0.17

0.16

0.24

ice-cola

dens1

0.31

0.42

0.17

0.15

0.28

0.27

ice-cola

bias1

0.20

0.11

0.19

0.27

pinocchio

mass1

0.48

0.51

0.27

0.26

0.33

pinocchio

dens1

0.76

0.67

0.78

0.70

0.77

pinocchio

bias1

0.23

0.20

0.24

0.22

0.28

0.29

halogen

mass1

1.22

0.90

1.09

0.77

1.28

1.14

patchy

mass1

0.67

0.40

0.73

0.44

0.82

0.79

Gaussian

mass1

2.50

2.20

2.04

0.91

0.82

1.08

Lognormal

mass1

1.76

1.09

1.31

0.97

0.96

0.98

ice-cola

mass2

0.40

0.36

0.38

0.33

0.43

0.45

ice-cola

dens2

0.36

0.23

0.35

0.27

0.28

pinocchio

mass2

1.03

1.20

0.44

0.41

0.46

0.44

pinocchio

dens2

0.81

0.83

0.44

0.40

0.41

0.40

pinocchio

bias2

0.70

0.31

0.42

0.54

0.41

0.73

peak patch

mass2

1.84

2.02

0.69

1.05

1.03

peak patch

dens2

0.48

0.47

0.48

0.45

0.46

0.48

halogen

mass2

1.77

1.32

1.70

1.29

1.07

halogen

bias2

2.24

1.76

2.06

1.59

1.28

1.32

patchy

mass2

1.41

1.26

1.21

0.97

0.99

1.01

Gaussian

mass2

2.02

1.77

1.75

1.03

0.78

1.14

Lognormal

mass2

2.27

2.57

1.64

1.88

1.02

1.07

Table 2.

Open in new tab

Values of the relative χ² for the covariance matrices |$\sf{C}$| (equation 16), correlation matrices |$\sf{R}$| (equation 17), and values for the Kullback–Leibler divergence D_KL (equation 19) obtained from the approximate methods.

Code	Sample	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{C}$\| from ξ₀₂₄	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{C}$\| from ξ_\|$w$\|	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{R}$\| from ξ₀₂₄	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{R}$\| from ξ_\|$w$\|	D_KL for ξ₀₂₄	D_KL for ξ_\|$w$\|
ice-cola	mass1	0.19	0.21	0.17	0.16	0.24	0.24
ice-cola	dens1	0.31	0.42	0.17	0.15	0.28	0.27
ice-cola	bias1	0.20	0.11	0.19	0.19	0.27	0.27
pinocchio	mass1	0.48	0.51	0.27	0.26	0.33	0.33
pinocchio	dens1	0.76	0.67	0.78	0.70	0.77	0.77
pinocchio	bias1	0.23	0.20	0.24	0.22	0.28	0.29
halogen	mass1	1.22	0.90	1.09	0.77	1.28	1.14
patchy	mass1	0.67	0.40	0.73	0.44	0.82	0.79
Gaussian	mass1	2.50	2.20	2.04	0.91	0.82	1.08
Lognormal	mass1	1.76	1.09	1.31	0.97	0.96	0.98
ice-cola	mass2	0.40	0.36	0.38	0.33	0.43	0.45
ice-cola	dens2	0.36	0.23	0.35	0.27	0.28	0.28
pinocchio	mass2	1.03	1.20	0.44	0.41	0.46	0.44
pinocchio	dens2	0.81	0.83	0.44	0.40	0.41	0.40
pinocchio	bias2	0.70	0.31	0.42	0.54	0.41	0.73
peak patch	mass2	1.84	2.02	0.69	0.69	1.05	1.03
peak patch	dens2	0.48	0.47	0.48	0.45	0.46	0.48
halogen	mass2	1.77	1.32	1.70	1.29	1.07	1.07
halogen	bias2	2.24	1.76	2.06	1.59	1.28	1.32
patchy	mass2	1.41	1.26	1.21	0.97	0.99	1.01
Gaussian	mass2	2.02	1.77	1.75	1.03	0.78	1.14
Lognormal	mass2	2.27	2.57	1.64	1.88	1.02	1.07

Code	Sample	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{C}$\| from ξ₀₂₄	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{C}$\| from ξ_\|$w$\|	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{R}$\| from ξ₀₂₄	\|$\chi _{\mathrm{ rel}} ^2$\| for \|$\sf{R}$\| from ξ_\|$w$\|	D_KL for ξ₀₂₄	D_KL for ξ_\|$w$\|
ice-cola	mass1	0.19	0.21	0.17	0.16	0.24	0.24
ice-cola	dens1	0.31	0.42	0.17	0.15	0.28	0.27
ice-cola	bias1	0.20	0.11	0.19	0.19	0.27	0.27
pinocchio	mass1	0.48	0.51	0.27	0.26	0.33	0.33
pinocchio	dens1	0.76	0.67	0.78	0.70	0.77	0.77
pinocchio	bias1	0.23	0.20	0.24	0.22	0.28	0.29
halogen	mass1	1.22	0.90	1.09	0.77	1.28	1.14
patchy	mass1	0.67	0.40	0.73	0.44	0.82	0.79
Gaussian	mass1	2.50	2.20	2.04	0.91	0.82	1.08
Lognormal	mass1	1.76	1.09	1.31	0.97	0.96	0.98
ice-cola	mass2	0.40	0.36	0.38	0.33	0.43	0.45
ice-cola	dens2	0.36	0.23	0.35	0.27	0.28	0.28
pinocchio	mass2	1.03	1.20	0.44	0.41	0.46	0.44
pinocchio	dens2	0.81	0.83	0.44	0.40	0.41	0.40
pinocchio	bias2	0.70	0.31	0.42	0.54	0.41	0.73
peak patch	mass2	1.84	2.02	0.69	0.69	1.05	1.03
peak patch	dens2	0.48	0.47	0.48	0.45	0.46	0.48
halogen	mass2	1.77	1.32	1.70	1.29	1.07	1.07
halogen	bias2	2.24	1.76	2.06	1.59	1.28	1.32
patchy	mass2	1.41	1.26	1.21	0.97	0.99	1.01
Gaussian	mass2	2.02	1.77	1.75	1.03	0.78	1.14
Lognormal	mass2	2.27	2.57	1.64	1.88	1.02	1.07

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