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:

.. math::
    x \geq a_2 => H(x) = a_1

.. math:: 
    x < a_2 =>  H(x) = -1

.. math:: 
    0 \leq x \leq 20 

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

.. figure:: /images/HeaviSideExample.png
    :width: 800
    :alt: HeaviSideExample
    :align: center

The test case is provided with the following files:

* Training data set containing :math:`400` samples
    
  * x_train.csv: the training inputs file
  
* Testing data set containing :math:`100` samples
  
  * x_test.csv: the testing inputs file
	
Each sample in the data sets was generated with a random value of a jump :math:`a_1` situated in a random integer coordinate :math:`2 \leq a_2 \leq 17` 
