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Multilayer feedforward networks are universal approxi- mators.Neural networks, 2(5):359–366, 1989

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cs.CE 1

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2026 1

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$\phi-$DeepONet: A Discontinuity Capturing Neural Operator

cs.CE · 2026-04-09 · unverdicted · novelty 6.0

φ-DeepONet learns mappings with discontinuities in inputs and outputs by combining multiple branch networks with a nonlinear interface embedding in the trunk, trained via physics- and interface-informed loss, and shows accurate results on 1D/2D benchmarks.

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  • $\phi-$DeepONet: A Discontinuity Capturing Neural Operator cs.CE · 2026-04-09 · unverdicted · none · ref 13

    φ-DeepONet learns mappings with discontinuities in inputs and outputs by combining multiple branch networks with a nonlinear interface embedding in the trunk, trained via physics- and interface-informed loss, and shows accurate results on 1D/2D benchmarks.