Dynamic changes in brain regions active while learning novel visual concepts were examined in humans using functional magnetic resonance imaging. Participants learned to distinguish between exemplars of two categories, formed as distortions of different unseen prototype stimuli. Regions of the right hemisphere (dorsolateral prefrontal and inferior parietal areas) were active early in learning a...

Let M = (M,m,u) be a monad and let (MX,m) be the free M-algebra on the object X. Consider an M-algebra (A, a), a retraction r : (MX,m) → (A, a) and a section t : (A, a) → (MX,m) of r. The retract (A, a) is not free in general. We observe that for many monads with a ‘combinatorial flavor’ such a retract is not only a free algebra (MA0,m), but it is also the case that the object A0 of generators ...

We prove a general theorem relating pseudo-exponentiable objects of a bicategory K to those of the Kleisli bicategory of a pseudo-monad on K. This theorem is applied to obtain pseudo-exponentiable objects of the homotopy slices Top//B of the category of topological spaces and the pseudo-slices Cat//B of the category of small categories.

For functors L : A→ B and R : B→ A between any categories A and B, a pairing is defined by maps, natural in A ∈ A and B ∈ B, MorB(L(A), B) α // MorA(A,R(B)) β oo . (L,R) is an adjoint pair provided α (or β) is a bijection. In this case the composition RL defines a monad on the category A, LR defines a comonad on the category B, and there is a well-known correspondence between monads (or comonad...

We present here the equational two-dimensional categorical algebra which describes the process of freely completing a category under some class of limits or colimits. It is crystallized out of the authors 1967 dissertation [6] (revised form [7]). I presented a purely equational aspect of that already in 1973 [9], [10] , and the present note is in some sense identical to that, but with some furt...

In this paper, we give a novel abstract description of Szabo’s polycategories. We use the theory of double clubs – a generalisation of Kelly’s theory of clubs to ‘pseudo’ (or ‘weak’) double categories – to construct a pseudo-distributive law of the free symmetric strict monoidal category pseudocomonad onMod over itself qua pseudomonad, and show that monads in the ‘two-sided Kleisli bicategory’ ...

We consider representations of quivers in arbitrary categories and twisted representations of quivers in arbitrary tensor categories. We show that if A is an abelian category, then the category of representations of a quiver in A is also abelian, and that the category of twisted linear representations of a quiver is equivalent to the category of linear (untwisted) representations of a different...

The Bass model has been the standard for predicting the market penetration of new products. Recently a new class of non-parametric techniques, Functional Data Analysis (FDA), has shown impressive results within the statistics community. The authors test the predictive performance of FDA versus variations of the Bass model on 760 new categories across numerous products and countries. Ten fold cr...

This article provides an introductory tutorial on prosodic features such as tone and accent for researchers working on little-known languages. It specifically addresses the needs of non-specialists and thus does not presuppose knowledge of the phonetics and phonology of prosodic features. Instead, it intends to introduce the uninitiated reader to a field often shied away from because of its (in...

Evidence from functional neuroimaging of the human brain indicates that information about salient properties of an object-such as what it looks like, how it moves, and how it is used-is stored in sensory and motor systems active when that information was acquired. As a result, object concepts belonging to different categories like animals and tools are represented in partially distinct, sensory...