Training and test data created from a tenth order polynomial with added noise. The polynomial is given by $$f(x) = 2 x - 10 x^5 + 15 x^{10}$$ The noise follows a standard normal distribution. The data can be used to demonstrate overfitting. It is inspired by section II. B. in A high-bias, low-variance introduction to Machine Learning for physicists
Format
a list of two tibbles with two columns each. \(x\) stands for the
independent, \(y\) for the dependent variable. The training data
(noisy_data$train) contains 1000 rows, the test data (noisy_data$test)
20 rows.
References
P. Mehta et al., A high-bias, low-variance introduction to Machine Learning for physicists Phys. Rep. 810 (2019), 1-124. arXiv:1803.08823 doi:10.1016/j.physrep.2019.03.001