This paper describes two- and multiset canonical correlations analysis (CCA) for data fusion, multisource, multiset, or multitemporal exploratory data analysis. These techniques transform multivariate multiset data into new orthogonal variables called canonical variates (CVs) which, when applied in remote sensing, exhibit ever-decreasing similarity (as expressed by correlation measures) over se...

Normal approximations for descents and inversions of permutations of the set {1, 2, . . . , n} are well known. We consider the number of inversions of a permutation π(1), π(2), . . . , π(n) of a multiset with n elements, which is the number of pairs (i, j) with 1 ≤ i < j ≤ n and π(i) > π(j). The number of descents is the number of i in the range 1 ≤ i < n such that π(i) > π(i + 1). We prove tha...

Two kinds of multiset automata with a storage attached, varying only in their ability of testing the storage for emptiness, are introduced, as well as normal forms. Their accepting power and relation to other multiset languages classes is investigated.

we extend some results of Lempel and Restive on multiset decipherable codes to set decipherable codes. @ 2001 Elsevier Science Ltd. All rights reserved. Keywords-Codes, Unique decipherability, Multiset decipherability, Dominoes, Set decipherability.