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 tangent kernel



On Exact Computation with an Infinitely Wide Neural Net

Sanjeev Arora, Simon S. Du, Wei Hu, Zhiyuan Li, Russ R. Salakhutdinov, Ruosong Wang

Neural Information Processing Systems

Moreo randominitializationH( 0)conv deterministic H asthewidthNeur ker ( , ) (Equation (2)) evaluatedH(t)= H forallt, then (3) becomes du(t) dt = H (u(t) y). Suppose (z)= max ( 0,z), 1/ = poly ( 1/ ,log (n / )) and d1 = d2 = = dL = m with m poly ( 1/ , L,1/ 0,n,log ( 1/ )).






ExtrapolationandSpectralBiasofNeuralNetswith HadamardProduct:aPolynomialNetStudy

Neural Information Processing Systems

Weprovetheir equivalence to the kernel regression predictor with the associated NTK, which expands the application scope of NTK. Based on our results, we elucidate the separation ofPNNs overstandard neural networks with respect toextrapolation andspectralbias.