Sparse matrix techniques or run-length encoding or perhaps even delta encoding could produce drastic size reductions if that is the case.
22.
In numerical analysis, a "'sparse matrix "'is a matrix in which most of the elements are zero.
23.
For example, a sparse matrix having only a few diagonals nonzero would loose its structure when row / column interchanges are carried out.
24.
It has several advantages over Isomap, including faster optimization when implemented to take advantage of sparse matrix algorithms, and better results with many problems.
25.
The format is good for incrementally constructing a sparse matrix in random order, but poor for iterating over non-zero values in lexicographical order.
26.
Mathematically, FOS uses a slightly modified Cholesky decomposition in a mean-square error reduction ( MSER ) process, implemented as a sparse matrix inversion.
27.
Bulu?" et al . " present a sparse matrix data structure that Z-orders its non-zero elements to enable parallel matrix-vector multiplication.
28.
The LU decomposition of a sparse matrix is usually not sparse, thus, for a large system of equations, LU decomposition may require a prohibitive amount of arithmetical operations.
29.
The FDFD method requires solving a sparse matrix, which even for simple problems can be 20, 000 by 20, 000 elements or larger, with over a million unknowns.
30.
Calculating degree centrality for all the nodes in a graph takes dense adjacency matrix representation of the graph, and for edges takes \ Theta ( E ) in a sparse matrix representation.
