Once we have a sparse matrix, we can view it's sparsity structure with the command spy(A). An example with a randomly generated symmetric sparse matrix is given in Figure 5.3.

The ELLPACK Sparse Block (ESB) format uses both partitioning by block rows (like Sliced ELLPACK) and by block columns (for x locality), giving sparse blocks that are stored in an …

Sparse matrices (vague definition): matrix with few non-zero entries. For practical purposes: an !×# matrix is sparse if it has $ min !, # non-zero entries. This means roughly a constant …

Where do we find sparsity in ML? Many real-world phenomena are sparse. Examples? Attack of the Clones! Should we store multiple copies of our sparse thing in different formats? What …

In this book I introduce the topic of sparse and redundant representations, show the questions posed in this field, and the answers they get, present the flavor of the research in this arena, …

parsity in a remarkably efficient way. Exploiting these developments, the package SparseM provides some basic linear algebra functionality for sparse matric.

A sparse vector can be stored using a real array for the nonzero values together with an integer array containing the indices of these entries, as demonstrated by the following example.