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. 2025 Jul 4;15:23948. doi: 10.1038/s41598-025-03459-w

Table 1.

The list of symbols.

Symbol Description Symbol Description
Inline graphic The input spaces of the samples Inline graphic The raw input of the i-th sample
Inline graphic The class label spaces of the samples Inline graphic The class label of the i-th sample
Inline graphic The domain space of the dataset Inline graphic The domain label of the i-th sample
Inline graphic The class space of the dataset M The number of classes in the dataset
Inline graphic The mapped feature representation space of the samples Inline graphic The mapped feature representation of the i-th sample
K The number of domains in the dataset Inline graphic The kernel function
Inline graphic The d-th domain Inline graphic The class distribution of the d-th domain
Inline graphic The class label set of the d-th domain Inline graphic The domain distribution of the samples
W The sample weight space Inline graphic The sample weight of target domain sample Inline graphic
Inline graphic The loss function Inline graphic The weight mapping function
Inline graphic The feature mapping function (feature extractor) Inline graphic The classifier
Inline graphic The feature representation distributions Inline graphic,Inline graphic,Inline graphic The parameter vectors of Inline graphic, Inline graphic and Inline graphic
n The number of samples Inline graphic The domain weight of the i-th source domain
m The number of raw feature dimensions of the sample s The number of mapped feature dimensions of the sample