Given a graph where vertices represent alternatives and arcs represent pairwise comparison data, the statistical ranking problem is to find a potential function, defined on the vertices, such that the gradient of the potential function agrees with the pairwise comparisons. Our goal in this paper is to develop a method for collecting data for which the least squares estimator for the ranking pro...

Abstract In this study, we apply a spectral combination method for estimation of height anomalies from gradients the gravitational potential measured by satellites. The is used solving over-determined problems within gravity field modelling when multiple types data are collected and recovery unobservable quantities (typically potential). applies solutions to geodetic boundary-value formulated i...

Recently, the isolation forest (IF) methods have received increasing attention for their promising performance in hyperspectral anomaly detection (HAD). However, limited by ability of exploiting spatial-spectral information, existing IF-based suffer from a lot false alarms and disappointing detecting local anomalies. To overcome two problems, multiscale superpixel guided discriminative method i...

BACKGROUND The biology of small cell ovarian carcinoma of the hypercalcemic type (SCCOHT), which is a rare and aggressive form of ovarian cancer, is poorly understood. Tumourigenicity, in vitro growth characteristics, genetic and genomic anomalies, and sensitivity to standard and novel chemotherapeutic treatments were investigated in the unique SCCOHT cell line, BIN-67, to provide further insig...

in this paper, we propose a new approach for ranking all fuzzynumbers based on revising the ranking method proposed by ezzati et al. cite{ezzati}.to this end, we present and investigate some properties of the proposed approach indetails. finally, to illustrate the advantage of the proposed method, it is applied to several groups of fuzzy numbers and the results are compared with other related a...

The paper describes research of a trained threshold algorithm for analysis of the fire situation using multispectral remote sensing data. The algorithm is based on application of sub-satellite information about the fire on the territory covered by a satellite image. Thresholds are selected for each of the spectral bands for the determination of known fire threshold and then are used to select a...

Lecture 2. Index problem for manifolds with a boundary. Index of the Dirac operator and anomalies. Lecture 3. Spectral asymmetry and Riemannian geometry. Heat equation and asymptotic heat kernel. The η-and ζ-functions. Lecture 4. Two-component spinor calculus. Dirac and Weyl equations in two-component spinor form. Weyl equation with spectral or local boundary conditions. Potentials for massless...

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.