Underdetermined blind source separation by parallel factor analysis in time-frequency domain

This paper presents a new time-frequency approach to the underdetermined blind source separation using the parallel factor decomposition of third-order tensors. Without any constraint on the number of active sources at an auto-term time-frequency point, this approach can directly separate the sources as long as the uniqueness condition of parallel factor decomposition is satisfied. Compared with the existing two-stage methods where the mixing matrix should be estimated at first and then used to recover the sources, our approach yields better source separation performance in the presence of noise. Moreover, the mixing matrix can be estimated at the same time of the source separation process. Numerical simulations are presented to show the superior performance of the proposed approach to some of the existing two-stage blind source separation methods that use the time-frequency representation as well.

Assessing adult adjustment to relationship separation : the Psychological Adjustment to Separation Test (PAST)

Relationship separation is associated with substantial adult adjustment problems. The Psychological Adjustment to Separation Test (PAST) was developed as a self-report measure of 3 key dimensions of separation adjustment problems: lonely negativity, ex-partner attachment and coparenting conflict. Two independent samples (n = 219 and n = 169, respectively) of recently separated adults, 60% of whom had children, completed the PAST and other measures of general adjustment. Exploratory and confirmatory factor analyses demonstrated a replicable 3-factor structure, with each factor showing satisfactory test–retest and internal reliability and good convergent and discriminant validity. The PAST meets initial criteria for a potentially useful new measure of adult separation adjustment.

Selectivity in separation using π electron-rich stationary phases for the comprehensive two-dimensional analysis of cafe espresso

The multidimensional high-performance liquid chromatography separations of the complex sample matrix found in café espresso coffee were completed on the propyl phenyl and butyl phenyl columns that contain 3 and 4 carbon atoms in the spacer chain, respectively. Phenyl type stationary phases are able to undergo unique π–π interactions with aromatic compounds. Previous works have found that there are differences in retention characteristics between these chain lengths and this was explored further here. It was found that when analysing the separations by quadrants, using a geometric approach to factor analysis and by measuring the normalised mean radius, subtle differences in the separations were observed and the butyl phenyl phase was more selective for the high to medium polarity species. However, there was very little difference in separation behaviour for the hydrophobic components within the coffee sample. Overall, the analysis of the entire separation showed very little difference.

A discussion on the process of defining 2-D separation selectivity

In this manuscript, we investigate the importance that must be placed on the selection of standard compounds when undertaking studies to optimize the performance of 2-D-HPLC separations. A geometric approach to factor analysis and a measure of peak density across the separation space were applied to assess localized measures of component distributions within the 2-D separation plane. The results of this analysis of data showed that the measure of separation quality varied markedly, depending on the elution zone for which the test was undertaken. The study concluded that if standards cannot be obtained that adequately describe the entire sample matrix, the sample itself should be used, and also, the separation should be optimized for regions of interest, not necessarily the separation as a whole.

Cluster identification and separation in the growing self-organizing map: application in protein sequence classification

Growing self-organizing map (GSOM) has been introduced as an improvement to the self-organizing map (SOM) algorithm in clustering and knowledge discovery. Unlike the traditional SOM, GSOM has a dynamic structure which allows nodes to grow reflecting the knowledge discovered from the input data as learning progresses. The spread factor parameter (SF) in GSOM can be utilized to control the spread of the map, thus giving an analyst a flexibility to examine the clusters at different granularities. Although GSOM has been applied in various areas and has been proven effective in knowledge discovery tasks, no comprehensive study has been done on the effect of the spread factor parameter value to the cluster formation and separation. Therefore, the aim of this paper is to investigate the effect of the spread factor value towards cluster separation in the GSOM. We used simple k-means algorithm as a method to identify clusters in the GSOM. By using Davies–Bouldin index, clusters formed by different values of spread factor are obtained and the resulting clusters are analyzed. In this work, we show that clusters can be more separated when the spread factor value is increased. Hierarchical clusters can then be constructed by mapping the GSOM clusters at different spread factor values.

Filicide and parental separation and divorce

This paper discusses the findings of a ten-year study of filicide in Victoria, Australia, using the data from selected case files held in the Victorian coroner's office for the period 2000–09. The study sought to examine whether separation is a factor in filicide cases, as well as the role of other factors, such as domestic violence and mental illness. Also, the study sought to identify whether filicide perpetrators had contact with support services, including family and friends, general practitioners, mental health services and child protection services, in order to ascertain how these services might more appropriately identify those families most at risk prior to the filicide. The study found that while separation was a factor identified in a significant number of cases, more cases analysed showed evidence of mental illness, mainly depression. These findings suggest the need for improved strategies in preventing filicide by identifying risk factors and improving service responses for victims prior to these tragic events.