GTransNet extends single-hidden-layer TransNet by adding hidden layers with symmetry-constrained biases and variance-controlled weights to improve accuracy and stability for oscillatory steady-state PDE solutions.
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators.Nature Machine Intelligence, 3(3):218–229
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Generalized Transferable Neural Networks for Steady-State Partial Differential Equations
GTransNet extends single-hidden-layer TransNet by adding hidden layers with symmetry-constrained biases and variance-controlled weights to improve accuracy and stability for oscillatory steady-state PDE solutions.