Do budget deficits follow a linear or non-linear path?

One method to test whether any government's fiscal policy has been effective in dealing with budget deficits is to test for mean reverting properties of deficits. If deficits-GDP ratio reverts to their mean, or are stationary, that will be an indication of taking corrective measure. Previous studies using standard linear ADF test did not find much support for the stationarity of deficits/GDP ratio. However, when we employ non-linear ADF test and data from 28 countries, we find support for stationarity of the deficits/GDP ratio in 50% of the countries in the sample.28 Countries.

Special apolar subset: the case of star configurations

In this paper we consider a generic degree $d$ form $F$ in $n+1$ variables. In particular, we investigate the existence of star configurations apolar to $F$, that is the existence of apolar sets of points obtained by the $n$-wise intersection of $r$ general hyperplanes of $\mathbb{P}^n$. We present a complete answer for all values of $(d,r,n)$ except for $(d,d+1,2)$ when we present an algorithmic approach

ERBlox: Combining Matching Dependencies with Machine Learning for Entity Resolution

Entity resolution (ER), an important and common data cleaning problem, is about detecting data duplicate representations for the same external entities, and merging them into single representations. Relatively recently, declarative rules called "matching dependencies" (MDs) have been proposed for specifying similarity conditions under which attribute values in database records are merged. In this work we show the process and the benefits of integrating four components of ER: (a) Building a classifier for duplicate/non-duplicate record pairs built using machine learning (ML) techniques; (b) Use of MDs for supporting the blocking phase of ML; (c) Record merging on the basis of the classifier results; and (d) The use of the declarative language "LogiQL" -an extended form of Datalog supported by the "LogicBlox" platform- for all activities related to data processing, and the specification and enforcement of MDs.Comment: Final journal version, with some minor technical corrections. Extended version of arXiv:1508.0601