pylissom

pylissom.math module

This module contains auxiliary math functions.

pylissom.math.euclidian_distances(x, y, mu_x, mu_y)

This function implements the euclidean distance between two 2-dimensional vectors.

Parameters:

• x – first element of the first vector
• y – second element of the first vector
• mu_x – first element of the second vector
• mu_y – second element of the second vector

Returns:

Euclidean distance

pylissom.math.euclidean_distance_general(x, y)

This function implements the euclidean distance between two n-dimensional vectors as numpy arrays.

Parameters:

• x – First vector (numpy array)
• y – Second vector (numpy array)

Returns:

euclidean distance

pylissom.math.gaussian(x, y, mu_x, mu_y, sigma, sigma_y=None)

This function implements a circular gaussian function.

Parameters:

• x –
• y –
• mu_x – Center
• mu_y – Center
• sigma –
• sigma_y –

Returns:

Gaussian

pylissom.math.normalize(matrix, norm=1, axis=1)

This function implements a normalization of the row or column vectors of a matrix (by default, normalizes the columns and uses norm 1).

Parameters:

• matrix – input matrix
• norm – Dimension of the norm
• axis – 0 is column, 1 is row

Returns:

A matrix normalized by columns or rows