2020
DOI: 10.1167/jov.20.9.14
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Estimation of perceptual scales using ordinal embedding

Abstract: In this article, we address the problem of measuring and analyzing sensation, the subjective magnitude of one's experience. We do this in the context of the method of triads: The sensation of the stimulus is evaluated via relative judgments of the following form: "Is stimulus S i more similar to stimulus S j or to stimulus S k ?" We propose to use ordinal embedding methods from machine learning to estimate the scaling function from the relative judgments. We review two relevant and well-known methods in psycho… Show more

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Cited by 13 publications
(26 citation statements)
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“…The oldest and most frequently used scaling algorithm for more than one dimension is (nonmetric) multidimensional scaling (MDS) ( Shepard, 1962 ; Kruskal, 1964a , 1964b )), which was recently accompanied by ordinal embedding methods from machine learning ( Roads & Mozer, 2019 ; Haghiri, Wichmann, & von Luxburg, 2020 ). In contrast with other scaling approaches, such as the popular maximum-likelihood difference scaling (MLDS) ( Knoblauch & Maloney, 2012 ), MDS and ordinal embedding can estimate multiple perceived dimensions.…”
Section: Introductionmentioning
confidence: 99%
“…The oldest and most frequently used scaling algorithm for more than one dimension is (nonmetric) multidimensional scaling (MDS) ( Shepard, 1962 ; Kruskal, 1964a , 1964b )), which was recently accompanied by ordinal embedding methods from machine learning ( Roads & Mozer, 2019 ; Haghiri, Wichmann, & von Luxburg, 2020 ). In contrast with other scaling approaches, such as the popular maximum-likelihood difference scaling (MLDS) ( Knoblauch & Maloney, 2012 ), MDS and ordinal embedding can estimate multiple perceived dimensions.…”
Section: Introductionmentioning
confidence: 99%
“…The rapid increase in number of trials for this type of scaling procedure (Maximum Likelihood Difference Scaling (MLDS), MLCM) renders the procedures less attractive from a pragmatic point of view and might sometimes outweigh the theoretical benefits discussed above. Alternative strategies such as subsampling ( Knoblauch & Maloney, 2012 ; Abbatecola et al, 2021 ), having a reduced number of stimuli per dimension ( Sun et al, 2021 ), or the use of so-called embedded methods from the machine learning community (see Haghiri et al, 2020 , for example) are currently being explored and might allow more efficient ways of perceptual scale measurements in the future.…”
Section: Discussionmentioning
confidence: 99%
“…There are several other methods for scale reconstruction from triplet comparisons, some of which have recently originated from the machine learning community [16]. Usually, these methods are for multi-dimensional scaling.…”
Section: Reconstruction Of Scale Values From Triplet Comparisonsmentioning
confidence: 99%
“…The most common and recommended multivariate outlier detection method in this spirit is a fast version of the minimum covariance determinant (Fast-MCD) approach [69]. However, the MCD method operates with Mahalanobis distances that are not suitable in our case since the multivariate data are not only vectors of ternary decisions rather than from a real Euclidean vector space, but also of variable dimension (16)(17)(18)(19).…”
Section: Robust Hit-level Outlier Removalmentioning
confidence: 99%
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