Global exponential periodicity of a class of bidirectional associative memory networks with finite distributed delays

In this paper, we study the periodic oscillatory behavior of a class of bidirectional associative memory (BAM) networks with finite distributed delays. A set of criteria are proposed for determining global exponential periodicity of the proposed BAM networks, which assume neither differentiability nor monotonicity of the activation function of each neuron. In addition, our criteria are easily checkable. (c) 2005 Elsevier Inc. All rights reserved.

Global exponential periodicity of a class of neural networks with recent-history distributed delays

In this paper, we propose to study a class of neural networks with recent-history distributed delays. A sufficient condition is derived for the global exponential periodicity of the proposed neural networks, which has the advantage that it assumes neither the differentiability nor monotonicity of the activation function of each neuron nor the symmetry of the feedback matrix or delayed feedback matrix. Our criterion is shown to be valid by applying it to an illustrative system. (c) 2005 Elsevier Ltd. All rights reserved.

Cumulant-based deconvolution and identification: several new families of linear equations

This paper presents several new families of cumulant-based linear equations with respect to the inverse filter coefficients for deconvolution (equalisation) and identification of nonminimum phase systems. Based on noncausal autoregressive (AR) modeling of the output signals and three theorems, these equations are derived for the cases of 2nd-, 3rd and 4th-order cumulants, respectively, and can be expressed as identical or similar forms. The algorithms constructed from these equations are simpler in form, but can offer more accurate results than the existing methods. Since the inverse filter coefficients are simply the solution of a set of linear equations, their uniqueness can normally be guaranteed. Simulations are presented for the cases of skewed series, unskewed continuous series and unskewed discrete series. The results of these simulations confirm the feasibility and efficiency of the algorithms.

Maternal affective disorder and children’s representation of their families

Children’s perceptions of family relationship are related to their later emotional and social adjustment. This is of particular relevance in the context of family stressors such as maternal affective disorder. This study investigated the effects of maternal postnatal depression and anxiety on children’s family representations. In our sample of postnatally depressed mothers we also explored marital conflict as mediator between maternal psychopathology and children’s representations. Family drawings of 235 4–5 year-old children (93 control, 53 depressed and 89 anxious) were examined. When compared to controls, children of depressed, but not of anxious mothers, were more likely to draw themselves as less prominent than other family members and to represent a dysfunctional family, less likely to represent themselves with a happy face and showed a greater tendency of drawing bizarre pictures. Marital conflict mediated the association between maternal depression and dysfunctionality in drawings.

Evolutionary genomics of the Fox genes: origin of gene families and the ancestry of gene clusters

Over the past decade genomic approaches have begun to revolutionise the study of animal diversity. In particular, genome sequencing programmes have spread beyond the traditional model species to encompass an increasing diversity of animals from many different phyla, as well as unicellular eukaryotes that are closely related to the animals. Whole genome sequences allow researchers to establish, with reasonable confidence, the full complement of any particular family of genes in a genome. Comparison of gene complements from appropriate genomes can reveal the evolutionary history of gene families, indicating when both gene diversification and gene loss have occurred. More than that, however, assembled genomes allow the genomic environment in which individual genes are found to be analysed and compared between species. This can reveal how gene diversification occurred. Here, we focus on the Fox genes, drawing from multiple animal genomes to develop an evolutionary framework explaining the timing and mechanism of origin of the diversity of animal Fox genes. Ancient linkages between genes are a prominent feature of the Fox genes, depicting a history of gene clusters, some of which may be relevant to understanding Fox gene function.

Inheritance, access to resources and poverty in Serer families in Senegal

This research explores the relationship between inheritance, access to resources and the intergenerational transmission of poverty among the Serer ethnic group in rural and urban environments in Senegal. In many Sub-Saharan African countries, customary law excludes women from owning and inheriting assets, such as land and property. Yet, assets controlled by women often result in increased investments in the next generation's health, nutrition and schooling and reduce the intergenerational transmission of poverty. Qualitative research with 60 participants in Senegal reveals the important role that land, housing and financial assets may play in building resilience to household shocks and interrupting the intergenerational transmission of poverty. However, the protection afforded by these assets was often dependent on other factors, including human, social and environmental capital. The death of a spouse or parent had major emotional and material impacts on many Serer families. The inheritance and control of assets and resources was strongly differentiated among family members along lines of gender, age and generation. Younger widows and their children were particularly vulnerable to chronic poverty. Although inheritance disputes were rare, the research suggests they are more likely between co-wives in polygamous unions and their children, particularly in urban areas. In addition to experiencing economic and health-related shocks, many interviewees were exposed to a range of climate-related risks and environmental pressures which increased their vulnerability. Family members coped with these shocks and risks by diversifying livelihoods, migrating to urban areas and other regions for work, participating in women's co-operatives and associations and developing supportive social networks with extended family and community members. Policies and practices that may help to alleviate poverty, safeguard women's and young people's inheritance and build resilience to financial, health-related and environmental shocks and risks include: - Social protection measures targeted towards poor widows and orphaned children, such as social and cash transfers to pay for basic needs including food, healthcare and children's schooling. - Micro-finance initiatives and credit and savings schemes, alongside training and capacity-building targeted to women and young people to develop income-generation activities and skills. - Free legal advice, support and advocacy for women and young people to pursue inheritance claims through the legal system. - Raising awareness about women's and children's legal rights and working with government and community and religious leaders to tackle discriminatory inheritance practices and contradictions caused by legal pluralism. - Increasing women's control of land and access to inputs, enhancing their business, organisational, and leadership skills and promoting civic participation in local, regional and national decision-making processes. - Improving access to basic services in rural areas, particularly healthcare, building the quality of education and promoting girls' access to education - Enhancing agricultural production and providing more employment opportunities, apprenticeships and vocational training for young people, particularly in rural areas.

Extended factorizations of exponential functionals of Lévy processes

Pardo, Patie, and Savov derived, under mild conditions, a Wiener-Hopf type factorization for the exponential functional of proper Lévy processes. In this paper, we extend this factorization by relaxing a finite moment assumption as well as by considering the exponential functional for killed Lévy processes. As a by-product, we derive some interesting fine distributional properties enjoyed by a large class of this random variable, such as the absolute continuity of its distribution and the smoothness, boundedness or complete monotonicity of its density. This type of results is then used to derive similar properties for the law of maxima and first passage time of some stable Lévy processes. Thus, for example, we show that for any stable process with $\rho\in(0,\frac{1}{\alpha}-1]$, where $\rho\in[0,1]$ is the positivity parameter and $\alpha$ is the stable index, then the first passage time has a bounded and non-increasing density on $\mathbb{R}_+$. We also generate many instances of integral or power series representations for the law of the exponential functional of Lévy processes with one or two-sided jumps. The proof of our main results requires different devices from the one developed by Pardo, Patie, Savov. It relies in particular on a generalization of a transform recently introduced by Chazal et al together with some extensions to killed Lévy process of Wiener-Hopf techniques. The factorizations developed here also allow for further applications which we only indicate here also allow for further applications which we only indicate here.

Young people’s caring relations and transitions within families affected by HIV

This chapter provides insight into young people’s caring relations and transitions within what is often considered a particularly ‘troubling’ familial context in both the global North and South: living with HIV. I analyse the findings from two qualitative studies of young people’s caring roles in families affected by HIV in the UK, Tanzania and Uganda from the perspective of a feminist ethics of care, emotion work and life course transitions.