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20182026
most citedSmooth function approximation by deep neural networks with general activation functions

67 citations · 93 across the 19 of their papers we have counts for

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6 papers · 1 filter

math.ST2026

Early-stopped aggregation: Adaptive inference with computational efficiency

Ilsang Ohn, Shitao Fan, Jungbin Jun +1

When considering a model selection or, more generally, an aggregation approach for adaptive statistical inference, it is often necessary to compute estimators over a wide range of…

math.ST2025

Variational bagging: a robust approach for Bayesian uncertainty quantification

Shitao Fan, Ilsang Ohn, David Dunson +1

Variational Bayes methods are popular due to their computational efficiency and adaptability to diverse applications. In specifying the variational family, mean-field classes are c…

math.ST2025

Nonparametric estimation of a factorizable density using diffusion models

Hyeok Kyu Kwon, Dongha Kim, Ilsang Ohn +1

In recent years, diffusion models, and more generally score-based deep generative models, have achieved remarkable success in various applications, including image and audio genera…

math.ST2021★ 6 cited

Adaptive variational Bayes: Optimality, computation and applications

Ilsang Ohn, Lizhen Lin

In this paper, we explore adaptive inference based on variational Bayes. Although several studies have been conducted to analyze the contraction properties of variational posterior…

math.ST2020★ 4 cited

Optimal Bayesian estimation of Gaussian mixtures with growing number of components

Ilsang Ohn, Lizhen Lin

We study Bayesian estimation of finite mixture models in a general setup where the number of components is unknown and allowed to grow with the sample size. An assumption on growin…

math.ST2020★ 3 cited

Nonconvex sparse regularization for deep neural networks and its optimality

Ilsang Ohn, Yongdai Kim

Recent theoretical studies proved that deep neural network (DNN) estimators obtained by minimizing empirical risk with a certain sparsity constraint can attain optimal convergence…