This paper presents a rigorous but tractable study of sparsity. We postulate definition sparsity that is as broad possible, so it generates all the various measures are useful in practice, narrow enough fundamental properties generalized still hold. As we work through ways demonstrating advantageous sparsity, illustrate its meaning from geometrical and operational perspectives. Thereafter, cons...

This article reviews cognitive neuroscience research on visual and language processing to suggest an analogy between the neural interpolation mechanisms in perceptual processing and the constructive processes that underlie meaning construction in language. Traditional models of language comprehension as a decoding process are argued to involve an overattribution of the import of linguistic info...

It is well-known that there is a trade-oo between the expressive power of a constraint language and the tractability of the problems it can express. But how can you determine the expressive power of a given constraint language, and how can you tell if problems expressed in that language are tractable? In this paper we discuss some general approaches to these questions. We show that for language...

When crossing disciplinary domains, one always crashes head-first into the problem of metaphor: how can you connect ideas from distinct intellectual fields by means of a device analogous to what mathematicians recognize as an equal sign or a congruency sign? The problem intensifies when both domains have to buy into the term employed. Since theorizers about metaphor now understand that a metaph...