Implicit equal-weights particle filter

Filter degeneracy is the main obstacle for the implementation of particle filter in non-linear high-dimensional models. A new scheme, the implicit equal-weights particle filter (IEWPF), is introduced. In this scheme samples are drawn implicitly from proposal densities with a different covariance for each particle, such that all particle weights are equal by construction. We test and explore the properties of the new scheme using a 1,000-dimensional simple linear model, and the 1,000-dimensional non-linear Lorenz96 model, and compare the performance of the scheme to a Local Ensemble Kalman Filter. The experiments show that the new scheme can easily be implemented in high-dimensional systems and is never degenerate, with good convergence properties in both systems.

Nurturing bilingual learners: challenges and concerns in Singapore

Singapore’s bilingual policy legitimises English not only as the language of governmental administration and interethnic communication, but also as the medium of instruction in all schools on all levels and across all subjects except mother tongues (MTs). As a result of these politics of language recognition, a visible shift has occurred in all ethnic groups away from MTs towards English. To rectify the language shift situation, the government has emphasised that developing bilingualism and raising bilingual children should begin in preschools. In this paper, we examine two top-down official documents: Review of Mother Tongue Languages Report, issued in 2011, and Nurturing Early Learners Framework for Mother Tongue Languages, developed in 2013. Attempting to identify some of the complex factors that influence language shift, we present an intertextual analysis of the Report and the curriculum Framework. In doing so, we compare the consistencies and locate the implicit inconsistencies in the policy position on bilingual education in preschools. We conclude the article by outlining the implications for changing the current bilingual educational models and providing teacher training programmes that maximise the learning opportunities of young bilingual learners.