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%2C%20a%20widely-used%20technique%20in%20neural%20networks%2C%20enhances%20generalization%20and%20expedites%20training%20by%20normalizing%20each%20mini-batch%20to%20the%20same%20mean%20and%20variance.%20However%2C%20its%20effectiveness%20diminishes%20when%20confronted%20with%20diverse%20data%20distributions.%20To%20address%20this%20challenge%2C%20we%20propose%20Supervised%20Batch%20Normalization%20(SBN)%2C%20a%20pioneering%20approach.%20We%20expand%20normalization%20beyond%20traditional%20single%20mean%20and%20variance%20parameters%2C%20enabling%20the%20identification%20of%20data%20modes%20prior%20to%20training.%20This%20ensures%20effective%20normalization%20for%20samples%20sharing%20common%20features.%20We%20define%20contexts%20as%20modes%2C%20categorizing%20data%20with%20similar%20characteristics.%20These%20contexts%20are%20explicitly%20defined%2C%20such%20as%20domains%20in%20domain%20adaptation%20or%20modalities%20in%20multimodal%20systems%2C%20or%20implicitly%20defined%20through%20clustering%20algorithms%20based%20on%20data%20similarity.%20We%20illustrate%20the%20superiority%20of%20our%20approach%20over%20BN%20and%20other%20commonly%20employed%20normalization%20techniques%20through%20various%20experiments%20on%20both%20single%20and%20multi-task%20datasets.%20Integrating%20SBN%20with%20Vision%20Transformer%20results%20in%20a%20remarkable%20textit%7B15.13%7D%25%20accuracy%20enhancement%20on%20CIFAR-100.%20Additionally%2C%20in%20domain%20adaptation%20scenarios%2C%20employing%20AdaMatch%20demonstrates%20an%20impressive%20textit%7B22.25%7D%25%20accuracy%20improvement%20on%20MNIST%20and%20SVHN%20compared%20to%20BN.)










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