A Note On Nonlinear Regression Under L2 Loss

03/30/2023

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by   Kaan Gokcesu, et al.

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We investigate the nonlinear regression problem under L2 loss (square loss) functions. Traditional nonlinear regression models often result in non-convex optimization problems with respect to the parameter set. We show that a convex nonlinear regression model exists for the traditional least squares problem, which can be a promising towards designing more complex systems with easier to train models.