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06/14/2021
On the Sample Complexity of Learning with Geometric Stability
Many supervised learning problems involve high-dimensional data such as ...
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04/05/2021
Multilevel Stein variational gradient descent with applications to Bayesian inverse problems
This work presents a multilevel variant of Stein variational gradient de...
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02/02/2021
Depth separation beyond radial functions
High-dimensional depth separation results for neural networks show that ...
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07/28/2020
Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems
Classical reduced models are low-rank approximations using a fixed basis...
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03/23/2020
Diffusion-based Deep Active Learning
The remarkable performance of deep neural networks depends on the availa...
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02/18/2018
Neural Networks with Finite Intrinsic Dimension have no Spurious Valleys
Neural networks provide a rich class of high-dimensional, non-convex opt...
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12/22/2017
