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Note, in particular, that no regularization was applied.
The regularization constant λ is either set to zero (no regularization) or chosen by the GCV-criterion [7].
We should also note that the NN is better than the basic ELM which has no regularization term and comparable to the RELM.
To the authors' knowledge, up to now, there is no regularization theory with error estimate for problem (1.1) in the interval.
Finally, for functions in Sobolev spaces, we show that the operator Jν "shrinks" the norm of the argument by a factor that, as in the Hölder case, depends on the function N (whereas no regularization result can be obtained).
Note that no regularization was used (δ=0), unless stated otherwise, and both matrices, (hat {mathbf {R}}(n)) and (mathring {underline {mathbf {S}}}(n)), were initialized with zero values.
Similar(47)
There is no any extra regularization term in the objective functions that reduce the complication on solving the optimization problem.
No auxiliary regularization method was used, because the input data matrix was regular.
No spatial regularization is applied.
No model regularization has been applied.
Thus, in the experiments, when (i.e., no spatial regularization is enforced), we obtain the same results as in Table 1.
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