For PINNs solving general PDEs, the neural tangent kernel converges only if the network's output scaling exponent is large enough, with the threshold set by the homogeneity degree of the differential operator.
Hornik, Approximation Capabilities of Muitilayer Fe edforward Networks, Neural Networks, 4 (1991) 251-257
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Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ?
For PINNs solving general PDEs, the neural tangent kernel converges only if the network's output scaling exponent is large enough, with the threshold set by the homogeneity degree of the differential operator.