A Note On Nonlinear Regression Under L2 Loss

Kaan Gokcesu; Hakan Gokcesu

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arXiv · 2303.17745

A Note On Nonlinear Regression Under L2 Loss

Kaan Gokcesu·Hakan Gokcesu

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Abstract

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.

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cs.LG cs.NA math.NA math.OC stat.ML

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Kaan Gokcesu, Hakan Gokcesu. 2023-03-30. A Note On Nonlinear Regression Under L2 Loss. https://arxiv.org/abs/2303.17745

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