Distractor handling via dimension weighting

Cuing the dimension of a distractor: verbal cues of target identity also benefit same-dimension distractor singletons.

Cuing the identity of an upcoming target speeds its detection. This effect is generally assumed to operate on the level of the target dimension, not of its feature identity. Here, we investigated whether that is the case, in a design in which preparing for a cued dimension would incur costs as well as benefits. Participants searched for targets that could be defined on several dimensions, but w...

Sample Handling - Weighting, Plating, Compound Library Management

The effect of search mode on dimension weighting

In a visual feature search task, reaction times to a singleton target are known to be shorter when participants have advance knowledge of the defining-features of targets. The present study examined whether the prior-knowledge effect is influenced by search modes (feature vs. singleton). In addition, using a variant of the flanker task, the present study assessed whether prior-knowledge affecte...

Dimension detection via slivers

We present a novel approach to estimate the dimension m of an unknown manifold M ⊂ R with positive reach from a set of point samples P ⊂ M. It works by analyzing the shape of simplices formed by point samples. Suppose that P is drawn from M according to a Poisson process with an unknown parameter λ. Let k be some fixed positive integer. When λ is large enough, we prove that the dimension can be...

Deformations via Dimension Theory

We show that standard arguments for deformations based on dimension counts can also be applied over a (not necessarily Noetherian) valuation ring A of rank 1. Key intermediate results are a principal ideal theorem for schemes of finite type over A, and a theorem on subadditivity of intersection codimension for schemes smooth over A.