Various approaches to index term-weighting have been investigated. In fact, term-weighting is an indispensable process for document ranking in most retrieval systems. As well actual information retrieval systems have to deal with explosive growth of documents of various sizes and terms of various frequencies because an appropriate term-weighting scheme has a crucial impact on the overall perfor...

Many implementations of Latent Dirichlet Allocation (LDA), including those described in Blei et al. (2003), rely at some point on the removal of stopwords, words which are assumed to contribute little to the meaning of the text. This step is considered necessary because otherwise high-frequency words tend to end up scattered across many of the latent topics without much rhyme or reason. We show...

Gene order analysis aims at extracting phylogenetic information from the comparison of the order and orientation of the genes on the genomes of different species. This can be achieved by computing parsimonious rearrangement scenarios, i.e. to determine a sequence of rearrangements events that transforms one given gene order into another such that the sum of weights of the included rearrangement...

Abstract. In this article, we report on sixth-order and seventh-order iterative methods for solving nonlinear equations. In particular sixth-order derivative-based and derivative-free iterative families are constructed in such a way that they comprise a wide class of sixth-order methods which were developed in the past years. Weighting functions are introduced to enhance the algorithmic efficie...

The principles of Markowitz’s portfolio construction model, which requires explicit risk and expected return assumptions, are widely accepted. In practice, however, the most widely used portfolio construction techniques—market-cap weighting and its main rival, fundamental weighting—make no explicit assumptions about these very same risk and return parameters. The most recent departures from mar...

In this note, the connection between the correction and weighting functions for the correction procedure via reconstruction (CPR) method in 1D is addressed. A one-parameter family of weighting functions is constructed from the discontinuous test space. It is found that if the solution polynomials lie in the space P k , then the first k weighting functions can always be chosen as the basis of th...