Abstract: We analyze the dimension of a financial correlation-based network and apply our analysis to characterize the complexity of the network. First, we generalize the volume-based dimension and find that it is well defined by the correlation-based network. Second, we establish the relationship between the Rényi index and the volume-based dimension. Third, we analyze the meaning of the dimen...

The growth and popularity of SNSs such as Facebook and Twitter have created a new world for users to conduct activities such as posting, viewing, sharing, replying and playing. One of the most important user participation behaviors is self-disclosure. This study attempts to investigate the relation between privacy risk and self-disclosure behavior in SNSs and to understand how the users selecti...

Important developments have occurred recently in the field of damage identification as a result of the import of numerous techniques from the disciplines of multivariate statistics and pattern recognition. One problem in the application of these methods is the curse of dimensionality, which can complicate and sometimes invalidate the use of certain techniques if the data under examination has t...

BACKGROUND Histologic image analysis plays an important role in cancer diagnosis. It describes the structure of the body tissues and abnormal structure gives the suspicion of the cancer or some other diseases. Observing the structural changes of these chaotic textures from the human eye is challenging process. However, the challenge can be defeat by forming mathematical descriptor to represent ...

OBJECTIVE To validate an instrument designed to assess health promotion in the school environment. METHODS A questionnaire, based on guidelines from the World Health Organization and in line with the Brazilian school health context, was developed to validate the research instrument. There were 60 items in the instrument that included 40 questions for the school manager and 20 items with direc...

The atomic-level structures of liquids and glasses are similar, obscuring any structural basis for the glass transition. To delineate structural differences between them, we characterized the atomic structures using the integrated radial distribution functions (RDF) from molecular dynamics (MD) simulations for several metallic liquids and glasses: Cu46Zr54, Ni80Al20, Ni33.3Zr66.7, and Pd82Si18....

This work studies the large sample properties of the posterior-based inference in the curved exponential family under increasing dimension. The curved structure arises from the imposition of various restrictions on the model, such as moment restrictions, and plays a fundamental role in econometrics and others branches of data analysis. We establish conditions under which the posterior distribut...

1 An introduction to the matrix‐updating problems A general problem of updating rectangular (or square) matrix can be formulated as follows. Let A be an initial matrix of dimension N × M with row and column marginal totals uA = AeM, v A = e ′ NA where eN and eM are N × 1 and M × 1 summation column vectors with unit elements. Further, let u �= uA and v �= vA be exogenous column vectors of dimens...

The present paper generalises results by Lutz and Ryabko. We prove a martingale characterisation of exact Hausdorff dimension. On this base we introduce the notion of exact constructive dimension of (sets of) infinite strings. Furthermore, we generalise Ryabko’s result on the Hausdorff dimension of the set of strings having asymptotic Kolmogorov complexity ≤ α to the case of exact dimension. Th...