Beyond Gauss: Image-set matching on the Riemannian manifold of PDFs

State-of-the-art image-set matching techniques typically implicitly model each image-set with a Gaussian distribution. Here, we propose to go beyond these representations and model image-sets as probability distribution functions (PDFs) using kernel density estimators. To compare and match image-sets, we exploit Csiszar´ f-divergences, which bear strong connections to the geodesic distance defined on the space of PDFs, i.e., the statistical manifold. Furthermore, we introduce valid positive definite kernels on the statistical manifold, which let us make use of more powerful classification schemes to match image-sets. Finally, we introduce a supervised dimensionality reduction technique that learns a latent space where f-divergences reflect the class labels of the data. Our experiments on diverse problems, such as video-based face recognition and dynamic texture classification, evidence the benefits of our approach over the state-of-the-art image-set matching methods.

Techno Teacher Moms: Web 2.0 Connecting Mothers in the Home Education Community

Home education is on the rise in Australia. However, unlike parents who choose mainstream schooling, these parents often lack the support of a wider community to help them on their educational and parenting journey. This support is especially lacking as many people in the wider community find the choice to home education confronting. As such, these parents may feel isolated and alienated in the general population as their choice to home educate is questioned at best, and ridiculed at worst. These parents often find sanctuary online in homeschool groups on Facebook. This chapter explores the ways that Facebook Groups are used by marginalized and disenfranchised families who home educate to meet with others who are likeminded and aligned with their beliefs and philosophies. It is through these groups that parents, in relation to schooling it is especially mothers, are able to ask for advice, to vent, to explore options and find connections that may be lacking in the wider community.