Vendi Score and scaling-law objectives belong to the class of matrix spectral functions, which are submodular, enabling efficient greedy selection of training data that outperforms random subsets in predicting held-out performance.
Non-submodular function maximization subject to a matroid constraint, with applications
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How Much Is a Dataset Worth? Scaling Laws, the Vendi Score, and Matrix Spectral Functions
Vendi Score and scaling-law objectives belong to the class of matrix spectral functions, which are submodular, enabling efficient greedy selection of training data that outperforms random subsets in predicting held-out performance.