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Sharp Reconstruction Bounds for Autoencoders Using the Same Forward Map

Medina, Patricia et al.
arXiv (All) · Papers
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We study reconstruction in autoencoders that apply the same forward map before and after setting the observed coordinates to zero. For equal odd input and hidden dimensions $d\geq 3$, among orientation-preserving diffeomorphisms whose Jacobian singular values lie in $[m,M]$, we show that the least u
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