Replacing point-sensor branch inputs with fixed or learned continuous linear functionals yields compact, discretization-portable DeepONet coordinates that beat point-sensor baselines on several PDE benchmarks.
On the training and generalization of deep operator networks.SIAM Journal on Scientific Computing, 46(4):C273–C296, 2024
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Fixed and Adaptive Topological DeepONets: Functional Measurements on Hausdorff Locally Convex Spaces
Replacing point-sensor branch inputs with fixed or learned continuous linear functionals yields compact, discretization-portable DeepONet coordinates that beat point-sensor baselines on several PDE benchmarks.