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math.ST2024
On the number of modes of Gaussian kernel density estimators
Borjan Geshkovski, Philippe Rigollet, Yihang Sun
We consider the Gaussian kernel density estimator with bandwidth of iid Gaussian samples. Using the Kac-Rice formula and an Edgeworth expansion, we prove that th…
math.ST2023
Covariance alignment: from maximum likelihood estimation to Gromov-Wasserstein
Yanjun Han, Philippe Rigollet, George Stepaniants
Feature alignment methods are used in many scientific disciplines for data pooling, annotation, and comparison. As an instance of a permutation learning problem, feature alignment…