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06/29/2023
A Quantitative Functional Central Limit Theorem for Shallow Neural Networks
We prove a Quantitative Functional Central Limit Theorem for one-hidden-...
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05/25/2023
How many samples are needed to leverage smoothness?
A core principle in statistical learning is that smoothness of target fu...
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05/20/2022
A Case of Exponential Convergence Rates for SVM
Classification is often the first problem described in introductory mach...
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02/03/2022
Multiclass learning with margin: exponential rates with no bias-variance trade-off
We study the behavior of error bounds for multiclass classification unde...
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09/20/2021
Understanding neural networks with reproducing kernel Banach spaces
Characterizing the function spaces corresponding to neural networks can ...
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06/23/2021
ParK: Sound and Efficient Kernel Ridge Regression by Feature Space Partitions
We introduce ParK, a new large-scale solver for kernel ridge regression....
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01/13/2021
Multiscale regression on unknown manifolds
We consider the regression problem of estimating functions on ℝ^D but su...
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03/10/2020
Estimating multi-index models with response-conditional least squares
The multi-index model is a simple yet powerful high-dimensional regressi...
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02/23/2020