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01/31/2023
Mathematical Capabilities of ChatGPT
We investigate the mathematical capabilities of ChatGPT by testing it on...
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12/19/2022
VC dimensions of group convolutional neural networks
We study the generalization capacity of group convolutional neural netwo...
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10/03/2022
Limitations of neural network training due to numerical instability of backpropagation
We study the training of deep neural networks by gradient descent where ...
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06/02/2022
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems
We study the problem of reconstructing solutions of inverse problems whe...
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01/17/2019
