Heaviside

This is a synthetic compression dataset that comes with the NeurEco installation. This test case is a collection of parameterized Heaviside functions of the following form:

\[x \geq a_2 => H(x) = a_1\]

\[x < a_2 => H(x) = -1\]

\[0 \leq x \leq 20\]

For example, if \(a1=-0.2\) and \(a2=8\), the corresponding function \(H(x)\) is:

The test case is provided with the following files:

• Training data set containing \(400\) samples

  • x_train.csv: the training inputs file

• Testing data set containing \(100\) samples

  • x_test.csv: the testing inputs file

Each sample in the data sets was generated with a random value of a jump \(a_1\) situated in a random integer coordinate \(2 \leq a_2 \leq 17\)