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Sep 12, 2025 Our new paper Convergence and Optimality of the EM Algorithm Under Multi-Component Gaussian Mixture Models is available on arXiv. We establish the minimax optimal rate of convergence of the EM algorithm for multi-component GMMs in full generality. The required separation condition between Gaussian components for EM to converge is the weakest known to date.
Mar 21, 2025 Our paper Optimal vintage factor analysis with deflation varimax has been accepted by The Annals of Statistics, 2025+.
Mar 20, 2025 Our new paper Kernel Ridge Regression with Predicted Feature Inputs and Applications to Factor-Based Nonparametric Regression is available on arXiv. It provides a sharp prediction risk guarantee for kernel ridge regression when the true regression features must be predicted.
Sep 24, 2024 Our new paper Learning large softmax mixtures with warm start EM is now available on arXiv. It studies computationally efficient and provable estimation algorithms under mixed multinomial logit models.