This paper deals with nonlinear least-squares problems involving the fitting to data of parameterized analytic functions. For generic regression data, a general result establishes the countability, and under stronger assumptions finiteness, of the set of functions giving rise to critical points of the quadratic loss function. In the special case of what are usually called “single-hidden layer n...

Analysing aspects of how our brain processes language may provide, even before the language faculty is really understood, useful insights into higher order cognitive functions. We take a small exploratory step in this direction with an attempt to test the ability of a standard, biologically plausible self-organising neural network to learn the association between syntax and semantics around the...

The literature presents two perspectives on the status of nouns naming certain entities as mass or count. On one view, this choice is predetermined by the nature of the entity named. On the other, this choice is arbitrary, though there may be some regularities or at least tendencies in lexicalization as mass or count. Proponents of arbitrariness cite doublets like mail and letters, leaves and f...

In the preceding paper [ l ] 2 Buck defines a class of "subsequences" of a multiple sequence and shows that "almost all" of such subsequences have certain properties. This note is essentially based on a different choice of the definition of "subsequences" ; that is, this paper and [ l ] are generalizations in different directions of a preceding paper by Buck and Pollard (reference 2 of [l ]). I...