This paper describes several experiments in text classification using WordNet, a rich source of lexical background knowledge available in the public domain. WordNet is used to map the original words from a text into sets based on synonym and hypernym relationships. This information is used to compute a change of representation from bag of words to hypernym density. Six binary classification tas...

In this note we prove the following law of the iterated logarithm for the Grenander estimator of a monotone decreasing density: If f(t0) > 0, f'(t0) < 0, and f' is continuous in a neighborhood of t0, then [Formula: see text]almost surely where [Formula: see text]here [Formula: see text] is the two-sided Strassen limit set on [Formula: see text]. The proof relies on laws of the iterated logarith...

We apply and discuss generalizable Gaussian mixture (GGM) models for textmining. The model automatically adapts model complexity for a given text representation. We show that the generalizability of these models depends on the dimensionality of the representation and the sample size. We discuss the relation between supervised and unsupervised learning in text data. Finally, we implement a novel...

In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for [Formula: see text] with [Formula: see text]. We also discuss other limit theorems such as the central limit theorem, the law of iterated logarithm, t...

Ionic liquid crystals (ILCs) are anisotropic mesogenic molecules which carry charges and therefore combine properties of liquid crystals, e.g. the formation of mesophases, and of ionic liquids, such as low melting temperatures and tiny triple-point pressures. Previous density functional calculations have revealed that the phase behavior of ILCs is strongly affected by their molecular properties...

The purpose of this work is to present a new method to extract the electron density ([Formula: see text]) and the effective atomic number (Z eff) from dual-energy CT images, based on a Karhunen-Loeve expansion (KLE) of the atomic cross section per electron. This method was used to calibrate a Siemens Definition CT using the CIRS phantom. The predicted electron density and effective atomic numbe...

We establish the physical origins of chemical transferability from the perspective of the nearsightedness of electronic matter. To do this, we explicitly evaluate the response of electron density to a change in the system, at constant chemical potential, by computing the softness kernel, [Formula: see text] The softness kernel is nearsighted, indicating that under constant-chemical-potential co...

We have developed an extraction based summarizer based on a word space model and PageRank and compared the readability of the resulting summaries with the original text, using various measures for Swedish and texts from different genres. The measures include among others readability index (LIX), nominal ratio (NR) and word variation index (OVIX). The measures correspond to the vocabulary load, ...

Several doped semiconductors, in contrast to heavily-doped silicon and germanium, host extremely mobile carriers, which give rise to quantum oscillations detectable in relatively low magnetic fields. The small Fermi energy in these dilute metals quantifies the depth of the Fermi sea. When the carrier density exceeds a threshold, accessible thanks to the long Bohr radius of the parent insulator,...

Using four previously identified samples of Web pages containing meta-tagged descriptions, the value of meta-tagged keywords, the first 200 characters of the body, and text marked with common HTML tags as extracts helpful for writing summaries was estimated by applying two measures: density of description words and density of two-word description phrases. Generally, titles and keywords showed t...