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In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are fitted by a method of successive approximations. It is used in place when the data shows a curvy trend, and linear regression would not produce very accurate results when compared to non-linear regression.

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What is the difference between linear and non-linear regression?

The difference is simply that non-linear regression learns parameters that in some way control the non-linearity - e.g. any weight or bias that is applied before a non-linear function. For instance: …
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Does a second-order fully-connected layer have any uses?

Is this a valid implementation of second-order regression? No, but it is not far off. To perform a full second-order regression, you will need all terms for $x_{i,j}x_{i,k}$ where the first index is …
Neil Slater's user avatar
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