DIVA: Dataset Derivative of a Learning Task
This work addresses dataset optimization for machine learning practitioners, offering a tool for auto-curation without separate validation data, though it builds on existing differentiable methods.
The authors tackled the problem of understanding how changes to a dataset affect model performance by introducing DIVA, a method to compute the dataset derivative, which quantifies the impact of individual training samples on validation error, and demonstrated its utility in tasks like outlier rejection and dataset extension with experimental results.
We present a method to compute the derivative of a learning task with respect to a dataset. A learning task is a function from a training set to the validation error, which can be represented by a trained deep neural network (DNN). The "dataset derivative" is a linear operator, computed around the trained model, that informs how perturbations of the weight of each training sample affect the validation error, usually computed on a separate validation dataset. Our method, DIVA (Differentiable Validation) hinges on a closed-form differentiable expression of the leave-one-out cross-validation error around a pre-trained DNN. Such expression constitutes the dataset derivative. DIVA could be used for dataset auto-curation, for example removing samples with faulty annotations, augmenting a dataset with additional relevant samples, or rebalancing. More generally, DIVA can be used to optimize the dataset, along with the parameters of the model, as part of the training process without the need for a separate validation dataset, unlike bi-level optimization methods customary in AutoML. To illustrate the flexibility of DIVA, we report experiments on sample auto-curation tasks such as outlier rejection, dataset extension, and automatic aggregation of multi-modal data.