Learn More
Multidimensional scaling is the problem of representing n objects: geometrically by n points, so that the interpoint distances correspond in some sense to experimental dissimilarities between objects. In just what sense distances and dissimilarities should correspond has been left rather vague in most approaches, thus leaving these approaches logically(More)
We describe the numerical methods required in our approach to multi-dimensional scaling. The rationale of this approach has appeared previously. 1. Introduction We describe a numerical method for multidimensional scaling. In a companion paper [7] we describe the rationale for our approach to scaling, which is related to that of Shepard [9]. As the numerical(More)
Several years ago a typewritten translation (of obscure origin) of [l] raised some interest. This paper is devoted to the following theorem: If a (finite) connected graph has a positive real number attached to each edge (the length of the edge), and if these lengths are all distinct, then among the spanning1 trees (German: Gerüst) of the graph there is only(More)
0. Abstract The mathematical model of PARAFAC is reviewed, and an examination is made of its application to cross-product matrices (e.g. covariance matrices,. scalar product matrices, etc.). It is shown that PARAFAC1 can correctly describe both orthogonal (uncorrelated) and oblique (correlated) factors in system-variation data matrices, but that it can only(More)
Extremely portable subroutines are sometimes needed for which moderate quality and efficiency suffice. Typically, this occurs for library functions (like random number generation and incore sorting) which are not entirely universal or are not used in a standardized way. The literature on random number generators does not seem to contain an algorithm that(More)
KYST is an extremely flexible and portable computer program for multidimensional scaling and unfolding. It represents a merger of M-D-SCAL 5M and TORSCA 9, including the best features of both, as well as some new features of interest. The name, pronounced "kissed", is formed from the initials Kruskal, Young, Shepard, and Torgerson. This instruction manual(More)