Multiscale interpretation of taut string estimation and its connection to Unbalanced Haar wavelets

We compare two state-of-the-art non-linear techniques for nonparametric function estimation via piecewise constant approximation: the taut string and the Unbalanced Haar methods. While it is well-known that the latter is multiscale, it is not obvious that the former can also be interpreted as multiscale. We provide a unified multiscale representation for both methods, which offers an insight into the relationship between them as well as suggesting lessons both methods can learn from each other.     

NEITHER ‘NON–’NOR ‘BECOMING’

The concept of whiteness is seductive; it strikes a chord and resonates, highlighting what was long ignored in the history of immigrants in America. However, in reading the literature, one cannot help but be troubled by the reduction of a plethora of relations to a singular binary, as important as that binary may be. This paper examines the experience of Polonia (the Polish Diaspora) in America, drawing on broad historical evidence as well as a particular ritual of identification (the Pulaski Day Parade in Philadelphia), in order to highlight the follies of reducing the immigrant experience to one of ‘becoming white.’ This paper challenges three major assumptions in whiteness studies: the particular relationship between ethnicity and race found therein; the assumptions regarding the assimilation of immigrant groups; and the centrality of the white/black binary in processes of identification. Ultimately, the argument presented here posits that to maintain whiteness as an analytically useful concept, it needs to be placed within the complex multitude of relations in which it occurs in the actual experiences of immigrants.