Traditional models of category learning in psychology focuson representation at the category level as opposed to the stim-ulus level, even though the two are likely to interact. Thestimulus representations employed in such models are eitherhand-designed by the experimenter, inferred circuitously fromhuman judgments, or borrowed from pretrained deep neuralnetworks that are themselves competing models of categorylearning. In this work, we extend classic prototype and ex-emplar models to learn both stimulus and category represen-tations jointly from raw input. This new class of models canbe parameterized by deep neural networks (DNN) and trainedend-to-end. Following their namesakes, we refer to them asDeep Prototype Models, Deep Exemplar Models, and DeepGaussian Mixture Models. Compared to typical DNNs, wefind that their cognitively inspired counterparts both providebetter intrinsic fit to human behavior and improve ground-truthclassification.