noisy_data {ibawds}

Noisy Data From a Tenth Order Polygon

Description

Training and test data create 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

Usage

noisy_data

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