This symbol describes the pair of inputs and ground truths \((\htmlClass{sdt-0000000103}{u}_i, \htmlClass{sdt-0000000037}{y}_i)\) used to train a model.
This symbol describes the pair of inputs and ground truths \((\htmlClass{sdt-0000000103}{u}_i, \htmlClass{sdt-0000000037}{y}_i)\) used to train a model. It is also known as the training data.
This symbol \(S\) describes the pair of inputs and ground truths \((\htmlClass{sdt-0000000103}{u}_i, \htmlClass{sdt-0000000037}{y}_i)_{i=1,...,N}\) used to train a model where \(N\) represents the total number of data points. This symbol is also known as the training data. The risk calculated using these samples is known as the empirical risk.