This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
It is well known that wavelets provide good non-linear approximation of one-dimensional (1-D) piecewise smooth functions. However, it has been shown that the use of a basis with g...
Pier Luigi Dragotti, Minh N. Do, Rahul Shukla, Mar...
One possible model to study genome evolution is to represent genomes as permutations of genes and compute distances based on the minimum number of certain operations (rearrangemen...
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Sorting by reversals is an important problem in inferring the evolutionary relationship between two genomes. The problem of sorting unsigned permutation has been proven to be NP-ha...