Concepedia

Learning high-dimensional parametric maps via reduced basis adaptive residual networks

Thomas O’Leary-Roseberry, Xiaosong Du, Anirban Chaudhuri, Joaquim R. R. A. Martins, Karen Willcox, Omar Ghattas

Computer Methods in Applied Mechanics and Engineering · 2022 · 29 citations · 30 references

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30

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

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Approximation capabilities of multilayer feedforward networks

Kurt Hornik · Neural Networks · 1991 · 6.1K citations

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On the mean accuracy of statistical pattern recognizers

Gary W. Hughes · IEEE Transactions on Information Theory · 1968 · 2.8K citations

, , +17

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence · 2021 · 2.8K citations · Full text

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SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

Philip E. Gill, Walter Murray, Michael A. Saunders · SIAM Journal on Optimization · 2002 · 1.6K citations

, , +15