In this paper a method for speaker localization and tracking is proposed based on Time Difference of Arrival estimation enhanced with so called tuned phase transform. The localization method is based on Pseudo-linear estimator, and Y-shaped array for spatial sampling is proposed and compared to square array. The tracking is realized with Recursive Least-Squares algorithm. At the end, results re...

The paper describes the development of the efficient interface sharpening procedure for viscous incompressible flows governed by the Navier–Stokes equations. The moving interface has been captured by a pseudo-concentration method. The solution domain has been discretised by the space-time finite elements, while numerical schemes have been stabilised by the Galerkin least squares method. The dam...

We begin by considering the problem of fitting a single Bézier curve segment to a set of ordered data so that the error is minimized in the total least squares sense. We develop an algorithm for applying the Gauss–Newton method to this problem with a direct method for evaluating the Jacobian based on implicitly differentiating a pseudo-inverse. We then demonstrate the simple extension of this a...

Motivation: A core computation of many popular quantitative trait locus, QTL, mapping methods is determining the residual sum of squares, RSS, for a regression of trait values on (pseudo-)marker genotypes. A single evaluation is easily performed using the standard method QR factorization, but together the RSS computations take considerable time and often constitute the major part of the computa...

We begin by considering the problem of fitting a single Bézier curve segment to a set of ordered data so that the error is minimized in the total least squares sense. We develop an algorithm for applying the Gauss–Newton method to this problem with a direct method for evaluating the Jacobian based on implicitly differentiating a pseudo-inverse. We then demonstrate the simple extension of this a...

fuzzy linear regression models are used to obtain an appropriate linear relation between a dependent variable and several independent variables in a fuzzy environment. several methods for evaluating fuzzy coefficients in linear regression models have been proposed. the first attempts at estimating the parameters of a fuzzy regression model used mathematical programming methods. in this the...

In 2015, Barber and Candès introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and prove that this method achieves exact FDR control. Inspired by the work of Barber and Candès (2015), we propose and analyze a pseudoknockoff filter that inherits some advantages of the original knockoff filter and has more flexibility in constructing ...

Given a full rank matrix X with more columns than rows, consider the task of estimating the pseudo inverse X based on the pseudo inverse of a sampled subset of columns (of size at least the number of rows). We show that this is possible if the subset of columns is chosen proportional to the squared volume spanned by the rows of the chosen submatrix (ie, volume sampling). The resulting estimator...

Ivan Selesnick March 7, 2013 NYU-Poly These notes address (approximate) solutions to linear equations by least squares. We deal with the ‘easy’ case wherein the system matrix is full rank. If the system matrix is rank deficient, then other methods are needed, e.g., QR decomposition, singular value decomposition, or the pseudo-inverse, [2, 3]. In these notes, least squares is illustrated by appl...