SparseArray

SparseArray is a data structure in Python that is similar to a regular array, but it is optimized for storing elements that are mostly zero. In a SparseArray, only the non-zero values are stored, along with their indices, which saves memory and improves performance for certain operations.

A SparseArray can be created using the scipy.sparse module in Python. Here is an example of how to create a 3x3 SparseArray with some non-zero values:

import scipy.sparse as sp

data = [1, 0, 0, 0, 2, 0, 0, 0, 3]
row = [0, 1, 2, 0, 1, 2, 0, 1, 2]
col = [0, 1, 2, 1, 0, 2, 2, 1, 0]

sparse_array = sp.coo_matrix((data, (row, col)), shape=(3, 3))

In this example, the data list contains the non-zero values, and the row and col lists contain the corresponding row and column indices. The coo_matrix function from the scipy.sparse module is used to create the SparseArray.

SparseArrays can be used for various purposes, such as representing sparse matrices, graphs, or other types of data that have a lot of zeros. They can also be used for certain numerical operations, such as matrix multiplication or solving linear equations