2023
DOI: 10.1007/s00704-023-04474-5
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Circulation typing with fuzzy rotated T-mode principal component analysis: methodological considerations

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Cited by 9 publications
(9 citation statements)
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“…We assessed the degree of non-linearity of the autoencoder patterns by comparing them to SST patterns derived from rotated PCA, using the congruence coefficient. Only the first two encoded summer and winter patterns in figure 2 were identified to have limited similarity with the rotated PCA patterns, given their congruence matches in the range of 0.70-0.78 (figures S1(a) and (b)), values associated with a poor match [41]. This indicates that when the constraint of linearity is removed, these encoder patterns change from their linear counterparts.…”
Section: Resultsmentioning
confidence: 99%
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“…We assessed the degree of non-linearity of the autoencoder patterns by comparing them to SST patterns derived from rotated PCA, using the congruence coefficient. Only the first two encoded summer and winter patterns in figure 2 were identified to have limited similarity with the rotated PCA patterns, given their congruence matches in the range of 0.70-0.78 (figures S1(a) and (b)), values associated with a poor match [41]. This indicates that when the constraint of linearity is removed, these encoder patterns change from their linear counterparts.…”
Section: Resultsmentioning
confidence: 99%
“…Additionally, the encoded SST patterns were compared to the patterns derived from PCA using the congruence coefficient (Ibebuchi and Richman [41]) to observe if the autoencoder reproduced the linear patterns, or captured new non-linear patterns, altering linear patterns that PCA might have failed to resolve properly. Congruence coefficients values that range from 0.98 to 1.00 represent an excellent match; 0.92 to <0.98 represent a good match; 0.82 to <0.92 represent a borderline match; 0.68 to <0.82 represent a poor match and values <0.68 represent a terrible match [41,42].…”
Section: Methodsmentioning
confidence: 99%
“…Principal component analysis (PCA) is a widely used multivariate tool in climatology for removing noise in climate data and identifying (asymmetric) climatic modes of variability 56 . This is achieved through its variance maximization property and by post-processing the PCs with a suitable simple structure rotation algorithm 56 .…”
Section: Methodsmentioning
confidence: 99%
“…Principal component analysis (PCA) is a widely used multivariate tool in climatology for removing noise in climate data and identifying (asymmetric) climatic modes of variability 56 . This is achieved through its variance maximization property and by post-processing the PCs with a suitable simple structure rotation algorithm 56 . In this study, we apply the rotated S-mode PCA 57 to regionalize temperature in North America during boreal summer (JJA: July to August) and identify distinct temperature variability patterns.…”
Section: Methodsmentioning
confidence: 99%
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