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arXiv Machine Learning By Carlo Marcati, Christoph Schwab

Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations

Read the original on arXiv Machine Learning →

arXiv:2112. 08125v3 Announce Type: replace-cross Abstract: We construct and analyze approximation rates of deep operator networks (ONets) between infinite-dimensional spaces that emulate with an exponential rate of convergence the coefficient-to-solution map of elliptic second-order partial differential equations.

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