1.4k citations · 2.1k across the 21 of their papers we have counts for
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stat.ML2016★ 3 cited
Consistent Kernel Mean Estimation for Functions of Random Variables
Carl-Johann Simon-Gabriel, Adam Ścibior, Ilya Tolstikhin +1
We provide a theoretical foundation for non-parametric estimation of functions of random variables using kernel mean embeddings. We show that for any continuous function , consi…
stat.ML2016★ 2 cited
Minimax Lower Bounds for Realizable Transductive Classification
Ilya Tolstikhin, David Lopez-Paz
Transductive learning considers a training set of labeled samples and a test set of unlabeled samples, with the goal of best labeling that particular test set. Conversely,…
math.ST2016★ 4 cited
Minimax Estimation of Kernel Mean Embeddings
Ilya Tolstikhin, Bharath Sriperumbudur, Krikamol Muandet
In this paper, we study the minimax estimation of the Bochner integral also called as the kernel mean embedding, based on random s…