Wave-producing recurrent neural networks with time-series readouts outperform local feed-forward models and rival larger U-Nets on semantic segmentation.
Spectral determination of analytic axi-symmetric plane domains
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abstract
Let ${\cal D}$ denote the class of bounded real analytic plane domains with the symmetry of an ellipse. We prove that if $\Omega_1, \Omega_2 \in {\cal D}$ and if the Dirichlet spectra coincide, $Spec(\Omega_1) = Spec(\Omega_2)$, then $\Omega_1 = \Omega_2$ up to rigid motion.
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Traveling Waves Integrate Spatial Information Through Time
Wave-producing recurrent neural networks with time-series readouts outperform local feed-forward models and rival larger U-Nets on semantic segmentation.