title: Towards large scale continuous EDA: a random matrix theory perspective

authors: Kabán, Ata

subjects: estimation of distribution algorithms

abstract: Estimation of distribution algorithms (EDA) are a major branch of evolutionary algorithms (EA) with some unique advantages in principle. They are able to take advantage of correlation structure to drive the search more efficiently, and they are able to provide insights about the structure of the search space. However, model building in high dimensions is extremely challenging and as a result existing EDAs lose their strengths in large scale problems.

Large scale continuous global optimisation is key to many real world problems of modern days. Scaling up EAs to large scale problems has become one of the biggest challenges of the field.

This paper pins down some fundamental roots of the problem and makes a start at developing a new and generic framework to yield effective EDA-type algorithms for large scale continuous global optimisation problems. Our concept is to introduce an ensemble of random projections of the set of fittest search points to low dimensions as a basis for developing a new and generic divide-and-conquer methodology. This is rooted in the theory of random projections developed in theoretical computer science, and will exploit recent advances of non-asymptotic random matrix theory.

text: Towards large scale continuous EDA: a random matrix theory perspective Estimation of distribution algorithms (EDA) are a major branch of evolutionary algorithms (EA) with some unique advantages in principle. They are able to take advantage of correlation structure to drive the search more efficiently, and they are able to provide insights about the structure of the search space. However, model building in high dimensions is extremely challenging and as a result existing EDAs lose their strengths in large scale problems.

Large scale continuous global optimisation is key to many real world problems of modern days. Scaling up EAs to large scale problems has become one of the biggest challenges of the field.

This paper pins down some fundamental roots of the problem and makes a start at developing a new and generic framework to yield effective EDA-type algorithms for large scale continuous global optimisation problems. Our concept is to introduce an ensemble of random projections of the set of fittest search points to low dimensions as a basis for developing a new and generic divide-and-conquer methodology. This is rooted in the theory of random projections developed in theoretical computer science, and will exploit recent advances of non-asymptotic random matrix theory.

year: 2013

title: Social change, migration and pregnancy intervals

authors: Pool, Ian

abstract: Maternity histories from residents of a Pacific Island society, Tokelau, and migrants to New Zealand, are analysed using life table techniques. Inter-cohort differentials in patterns of family formation were found in the total Tokelau-origin population. The process of accelerated timing and spacing of pregnancies was more pronounced among migrants who tended to marry later, be pregnant at marriage, have shorter inter-pregnancy intervals at lower parities and to show evidence of family limitation occurring at higher parities. These results point to the significance of changing patterns of social control on strategies of family building.

text: Social change, migration and pregnancy intervals Maternity histories from residents of a Pacific Island society, Tokelau, and migrants to New Zealand, are analysed using life table techniques. Inter-cohort differentials in patterns of family formation were found in the total Tokelau-origin population. The process of accelerated timing and spacing of pregnancies was more pronounced among migrants who tended to marry later, be pregnant at marriage, have shorter inter-pregnancy intervals at lower parities and to show evidence of family limitation occurring at higher parities. These results point to the significance of changing patterns of social control on strategies of family building.

year: 1987

title: Kia whakatōmuri te haere whakamua: ‘I walk backwards into the future with my eyes fixed on my past’

authors: Rameka, Lesley Kay

subjects: Māori

abstract: This whakataukī or ‘proverb’ speaks to Māori perspectives of time, where the past, the present and the future are viewed as intertwined, and life as a continuous cosmic process. Within this continuous cosmic movement, time has no restrictions – it is both past and present. The past is central to and shapes both present and future identity. From this perspective, the individual carries their past into the future. The strength of carrying one’s past into the future is that ancestors are ever present, existing both within the spiritual realm and in the physical, alongside the living as well as within the living. This article explores Māori perspectives of the past and the models and inspiration they offer. In this way, it provides a critique of the practices in early childhood education, highlighting the importance of cultural concepts and practices, and discusses implications for both teaching and academic practice.

text: Kia whakatōmuri te haere whakamua: ‘I walk backwards into the future with my eyes fixed on my past’ This whakataukī or ‘proverb’ speaks to Māori perspectives of time, where the past, the present and the future are viewed as intertwined, and life as a continuous cosmic process. Within this continuous cosmic movement, time has no restrictions – it is both past and present. The past is central to and shapes both present and future identity. From this perspective, the individual carries their past into the future. The strength of carrying one’s past into the future is that ancestors are ever present, existing both within the spiritual realm and in the physical, alongside the living as well as within the living. This article explores Māori perspectives of the past and the models and inspiration they offer. In this way, it provides a critique of the practices in early childhood education, highlighting the importance of cultural concepts and practices, and discusses implications for both teaching and academic practice.

year: 2017