We study the space of all compact structures on a two-dimensional square lattice of size N = 6 × 6. Each structure is mapped onto a vector in N dimensions according to a hydrophobic model. Previous work has shown that the designabilities of structures are closely related to the distribution of the structure vectors in the N -dimensional space, with highly designable structures predominantly fou...

This research was carried out using multivariate statistical techniques for analyzing the quality of water and monitoring the variables affecting its quality in Gharasou river, in Ardabil province in northwest of Iran. During a year, 28 physical and chemical parameters were sampled in 11 stations. Results of these measurements were analyzed by multivariate procedures such as Principal Component...

It is well known that solutions to the nonlinear independent component analysis (ICA) problem are highly non-unique. In this paper we propose the “minimal nonlinear distortion” (MND) principle for tackling the ill-posedness of nonlinear ICA problems. MND prefers the nonlinear ICA solution with the estimated mixing procedure as close as possible to linear, among all possible solutions. It also h...