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.

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.

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 number of non …

In the Compressed Row Storage (CRS) data structure, each matrix row i is stored as a compressed sparse vector consisting of pairs (j; aij) representing nonzeros.

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, the people …

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 precision to …

Sparse vs. Dense Matrices A sparse matrix is a matrix with enough zeros that it is worth taking advantage of them [Wilkinson]