This article is an extension of work which suggests using formal concepts as optimal factors of Factor Analysis. They discussed a method for decomposing a p × q binary matrix W into the Boolean matrix product P ◦ Q of a p × n binary matrix P and a n × q binary matrix Q with n as small as possible. We have generalised this factorization problem to the triadic case, looking for a decomposition of...

This paper analyses the spatial dynamics of the inventor network in German biotechnology between 1970 and 1995, aiming to introduce a spatial dimension into the dynamic analysis of innovation networks. After a long-lasting phase of knowledge exploration biotechnology experienced a transition towards increasing knowledge exploitation in the late 1980s. We argue that this transition impacts on th...

Even if not explicitly stated, data can be often interpreted in a triadic setting in numerous scenarios of data analysis and processing. Formal Concept Analysis, as the underlying mathematical theory of Conceptual Knowledge Processing gives the possibility to explore the structure of data and to understand its structure. Representing knowledge as conceptual hierarchies becomes increasingly popu...

Two studies examined the extent to which the type of triadic interaction pervasive in Western populations (i.e., shared visual attention and ostensive pedagogical cues) was representative of infant-caregiver object exploration in a non-Western indigenous community. Caregivers in the United States and Vanuatu interacted with infants and a novel object for 3 min. In Study 1 (N = 116, Mage  = 29.0...

We call a matrix triadic if it has no more than two nonzero off-diagonal elements in any column. A symmetric tridiagonal matrix is a special case. In this paper we consider LXLT factorizations of symmetric triadic matrices, where L is unit lower triangular and X is diagonal, block diagonal with 1×1 and 2×2 blocks, or the identity with L lower triangular. We prove that with diagonal pivoting, th...

The provision of maternal-infant body contact during a period of maternal separation was examined for its effects on parent-infant and triadic interactions. Participants were 146 three-month-old preterm infants and their parents, half of whom received skin-to-skin contact, or kangaroo care (KC), in the neonatal nursery. Global relational style and micro-patterns of proximity and touch were code...

Motivated by the role of triadic closures in social networks, and the importance of finding a maximum subgraph avoiding a fixed pattern, we introduce and initiate the parameterized study of the Strong F -closure problem, where F is a fixed graph. This is a generalization of Strong Triadic Closure, whereas it is a relaxation of F free Edge Deletion. In Strong F -closure, we want to select a maxi...

Despite its prominent placement between the retina and primary visual cortex in the early visual pathway, the role of the dorsal lateral geniculate nucleus (dLGN) in molding and regulating the visual signals entering the brain is still poorly understood. A striking feature of the dLGN circuit is that relay cells (RCs) and interneurons (INs) form so-called triadic synapses, where an IN dendritic...