Clustering is an unsupervised learning technique that seeks “natural” groupings in data. One form of data that has not been widely studied in the context of clustering is binary data. A rich statistical framework for clustering binary data is the Bernoulli mixture model for which there exists both Bayesian and non-Bayesian approaches. This paper reviews the development and application of Bernou...

A recently developed analytical version of the discrete-ordinates method is used to establish a concise and particularly accurate solution to the problem of Couette #ow of a binary gas mixture in a plane channel. The model kinetic equations used to describe the #ow are based on the BGK theory of the linearized Boltzmann equation, and, in addition to the complete distribution functions for the t...

The a-master functions of the mode coupling theory for a binary soft-sphere mixture are presented. They are directly determined by the static structure factors S,. The asymmetric stretching of the susceptibility spectra, which is mainly caused by the common von Schweidler high frequency asymptote, is well described by Kohlrausch fits. The stretching parameters and a-relaxation times for various...

We experimentally study one-dimensional, lattice-modulated Bose gases in the presence of an uncorrelated disorder potential formed by localized impurity atoms, and compare to the case of correlated quasidisorder formed by an incommensurate lattice. While the effects of the two disorder realizations are comparable deeply in the strongly interacting regime, both showing signatures of Bose-glass f...

A simple experiment such as the batch distillation of an ethanol–water binary mixture can be performed in a 3-h laboratory session using a very rudimentary apparatus consisting of a still pot and two thermocouples. Yet, the results can lead to very interesting insights to distillation and chemical engineering thermodynamics. The present article describes how one can exploit this simple laborato...

We develop a new method for building a hierarchical tree from binary sequence data. It is based on an ancestral mixture model. The sieve parameter in the model plays the role of time in the evolutionary tree of the sequences. By varying the sieve parameter, one can create a hierarchical tree that estimates the population structure at each fixed backward point in time. Application to the cluster...

Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional Ising strip subject to equally strong surface fields. It was found that the critical Casimir force has significantly different behavior on opposite sides of the ...