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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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M. Costabel, M. Dauge, and C. Schwab
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Fundamentals in single domains
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M. Costabel, M. Dauge, and S. Nicaise · 2010
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Z. Li, N. Kovachki, K. Azizzadenesheli, B. Liu, K. Bhattacharya, A. Stuart, and A. Anandkumar
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Third edition
A. Quarteroni · 2017
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