Obligatory averaging in mean size perception

Obligatory averaging in mean size perception

The perception of ensemble characteristics is often regarded as an antidote to an established bottleneck in focused attention and working memory, both of which appear to be limited in capacity to a few objects only. In order to test the associative law of summation, observers were asked to estimate the mean size of four circles relative to a reference circle. When there was no time to scrutiniz...

Obligatory and adaptive averaging in visual short-term memory.

Visual memory can draw upon averaged perceptual representations, a dependence that could be both adaptive and obligatory. In support of this idea, we review a wide range of evidence, including findings from our own lab. This evidence shows that time- and space-averaged memory representations influence detection and recognition responses, and do so without instruction to compute or report an ave...

Lagrangian averaging with geodesic mean.

This paper revisits the derivation of the Lagrangian averaged Euler (LAE), or Euler-α equations in the light of an intrinsic definition of the averaged flow map as the geodesic mean on the volume-preserving diffeomorphism group. Under the additional assumption that first-order fluctuations are statistically isotropic and transported by the mean flow as a vector field, averaging of the kinetic e...

An almost general theory of mean size perception

A general explanation for the observer's ability to judge the mean size of simple geometrical figures, such as circles, was advanced. Results indicated that, contrary to what would be predicted by statistical averaging, the precision of mean size perception decreases with the number of judged elements. Since mean size discrimination was insensitive to how total size differences were distributed...

Prediction of Mean Drop Size in Pulsed Packed Extraction Columns