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Table 1 Overall performance in \(\texttt {CV}\)

From: Cognitive biomarker prioritization in Alzheimer’s Disease using brain morphometric data

Method

Parameters

Feature level

Task level

d

\(\lambda\)

QH@5

WQH@5

NH\(_1@1\)

NH\(_{2}@1\)

NH\(_{3}@1\)

NH\(_{5}@1\)

NH\(_{\text {all}}@1\)

\({\mathtt {PLTR}}\)

10

\(\underline{\textit{2.665}}\pm 0.07\)

\(3.136\pm 0.12\)

\(0.605\pm 0.03\)

\(0.701\pm 0.04\)

\(0.713\pm 0.05\)

\(0.725\pm 0.05\)

\(0.683\pm 0.04\)

10

\(2.647\pm 0.08\)

\(\underline{\textit{3.191}}\pm 0.14\)

\(0.599\pm 0.03\)

\(0.677\pm 0.04\)

\(0.707\pm 0.04\)

\(0.725\pm 0.05\)

\(0.677\pm 0.04\)

10

\(2.569\pm 0.08\)

\(2.957\pm 0.11\)

\(\textit{0.635}{\pm 0.03}\)

\(0.707\pm 0.04\)

\(0.689\pm 0.05\)

\(0.719\pm 0.04\)

\(0.653\pm 0.04\)

10

\(2.623\pm 0.06\)

\(3.073\pm 0.09\)

\(0.623\pm 0.03\)

\(\underline{\textit{0.713}}\pm 0.05\)

\(0.707\pm 0.04\)

\(0.719\pm 0.04\)

\(0.671\pm 0.04\)

50

\(2.467\pm 0.07\)

\(2.992\pm 0.11\)

\(0.605\pm 0.03\)

\(0.695\pm 0.04\)

\(\textit{0.725}\pm 0.06\)

\(0.725\pm 0.04\)

\(0.653\pm 0.04\)

30

\(2.491\pm 0.07\)

\(3.080\pm 0.14\)

\(0.563\pm 0.04\)

\(0.689\pm 0.05\)

\(0.713\pm 0.04\)

\(\textit{0.749}\pm 0.04\)

\(\textit{0.689}\pm 0.03\)

\({\mathtt {PLTR_h}}\)

10

2.599 ± 0.09

3.111 ± 0.12

0.623 ± 0.02

0.671 ± 0.03

0.713 ± 0.03

0.719 ± 0.04

0.707 ± 0.03

10

\(2.575\pm 0.08\)

3.115 ± 0.13

0.623 ± 0.03

0.677 ± 0.03

0.737 ± 0.04

0.749 ± 0.03

0.695 ± 0.03

10

\(2.419\pm 0.09\)

\(2.827\pm 0.12\)

\(\underline{\textit{0.647}}\) ± 0.03

0.695 ± 0.03

0.671 ± 0.03

0.707 ± 0.03

0.635 ± 0.03

30

\(2.138\pm 0.10\)

\(2.583\pm 0.18\)

\(0.629\pm 0.02\)

\(\textit{0.701}\pm 0.02\)

0.695 ± 0.03

0.695 ± 0.04

0.593 ± 0.05

50

\(2.102\pm 0.07\)

\(2.470\pm 0.10\)

\(0.533\pm 0.03\)

\(0.677\pm 0.03\)

\(\underline{\textit{0.743}}\) ± 0.04

0.754 ± 0.03

0.629 ± 0.05

30

\(2.281\pm 0.07\)

\(2.768\pm 0.18\)

\(0.563\pm 0.03\)

\(0.689\pm 0.03\)

0.707 ± 0.04

\(\textit{0.760}\) ± 0.05

0.701 ± 0.05

\({\mathtt {KRL}}\)

2

2.102 ± 0.26

2.167 ± 0.37

0.569 ± 0.03

0.611 ± 0.05

0.635 ± 0.04

0.683 ± 0.03

0.689 ± 0.07

1.5

2.078 ± 0.15

2.143 ± 0.25

0.503 ± 0.04

0.575 ± 0.05

0.617 ± 0.05

0.677 ± 0.04

\(\underline{\textit{0.760}}\) ± 0.06

\({\mathtt {BMTMKL}}\)

2.443 ± 0.12

2.614 ± 0.20

0.413 ± 0.07

0.491 ± 0.08

0.593 ± 0.05

\(\underline{\textit{0.784}}\) ± 0.05

0.749 ± 0.05

  1. The column “d” corresponds to the latent dimension. The numbers in the form of \(x\pm y\) represent the mean (x) and standard deviation (y). The best performance of each method is in italic. The best performance under each evaluation metric is underlined